- temperatureCladding outer surface temperature (K)
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Cladding outer surface temperature (K)
ZryOxidation
Incorporates correlations for Zircaloy cladding oxidation through metal-water reactions. Calculated processes include outer oxide scale thickness growth and oxygen mass gain; the model is to be applied to the cladding waterside boundary. Current version covers LWR Zircaloy cladding only.
Description
This material calculates corrosion oxide layer thickness and the oxygen mass gain at normal operating temperatures (temperature < 673K), and at high temperatures. The normal operating temperature available in this class are EPRI_KWU_CE and EPRI_SLI. The high temperature models available are based on correlations by Leistikow and by Cathcart.
Zirconium alloy cladding can have an exothermic reaction with coolant water which converts metal to oxide at the cladding outer surface: Such an oxidation process, which is referred to as water-side corrosion, is a fundamental aspect of LWR fuel performance. The resultant oxide film on the outer surface of cladding can affect both the thermal and mechanical properties of cladding. Because of the lower thermal conductivity of zirconium oxide in comparison with zirconium alloys, the oxidation of the cladding adds to thermal resistance in heat transfer from the fuel to the coolant.
Zirconium oxide is a brittle material and can be easily cracked. Thus it is expected that the mechanical strength of cladding is mainly determined by the metallic wall, which is thinned after corrosion. Concurrent to the oxidation process, a fraction of hydrogen can be absorbed into the metal and can diffuse under the influences of both temperature and stress.
This material also calculates the oxide growth rate as a vector. The components of this vector may be utilized in conjuction with MaterialRealVectorValueAux AuxKernels to provide element smoothed values of the oxide growth rate to LevelSetAdvection. This may be used to inform XFEM of the updated position of the interface. XFEM will then move the interface using a combination of mesh healing and cutting techniques with discrete material properties on each side of the cut interface. The final result of this approach is a second approach to the total corrosion oxide layer thickness.
Zirconium Alloy at Normal Operating Temperatures
Low temperature (250 C/ 523 K to 400 C/ 673 K) oxidation is calculated considering that cladding oxidation under normal LWR conditions occurs in two stages: a pre-transition oxidation process that follows a cubic time dependence up to a transition oxide thickness, and a post-transition process that follows a linear time dependence. The transition between the two stages typically occurs at 2 microns.
For the pre-transition period, the corrosion rate is given by an Arrhenius equation (Ritchie, 1998): (1) For the post-transition period, the corrosion rate is given by Ritchie (1998): (2) where is the oxide thickness, is the metal-oxide interface temperature, is the rate constant for pre-transition oxidation, is the activation energy for pre-transition oxidation, is the rate constant for post-transition oxidation, is the activation energy for post-transition oxidation, is the universal gas constant, and is the transition oxide thickness.
The metal-oxide interface temperature, , is calculated assuming steady-state heat conduction across the oxide thickness as: where is the outer surface (waterside) oxide temperature and is thermal conductivity of zirconium oxide. For a discussion of the metal-oxide interface temperature calculation, see the theoretical discussion in Zry Cladding Corrosion.
Normal Operating Temperature Models
EPRI KWU CE Model
For normal operating temperatures below 673 K, the EPRI/KWU/C-E oxidation model (Garzarolli et al., 1982; Garzarolli and Garzarolli, 2012) is used as the default corrosion model. The formulation is analogous to that described in Eq. (1) and Eq. (2), with the following values for the expressions shown in Table 1.
Table 1: Parameters used in the EPRI KWU CE Coolant Model (Garzarolli et al., 1982; Garzarolli and Garzarolli, 2012)
| Model Expression | Parameter Value |
|---|---|
| m/day | |
| K | |
| m/day | |
| K |
where is the fast neutron flux in n/cms. accounts for the irradiation enhancement to corrosion.
EPRI SLI Model
The EPRI/SLI model is also implemented in BISON code for modeling of the corrosion of PWR fuel cladding materials. This model uses enhancement factors on and . For the pre-transition period, is multiplied by two factors, one related to the lithium concentration in the coolant and the other related to the iron concentration in the cladding. These factors are given by Gilmore et al. (December 1995) as (3) where = lithium concentration (ppm) in the coolant, and = fraction of iron particles dissolved (%) for a given initial particle size distribution. The parameters used in above equations are given in Table 2.
Table 2: Parameters used in the EPRI SLI Li Concentration Model (Gilmore et al., December 1995)
| Model Expression | Parameter Value |
|---|---|
| /day | |
| cal/mol | |
The post-transition coefficient C, is multiplied by several enhancement coefficients as follows: where C = 7.619 10 The coolant chemistry (LiOH) enhancement factor is given by: The cladding tin content enhancement factor is given by: where Sn is tin content of cladding in (wt%). The heat flux normalization factor is given by: where Q/A (W/cm) is the heat flux at cladding outer surface. The hydrogen redistribution enhancement factor is: where H = cold side hydrogen content in the cladding metal-oxide interface. The fast neutron flux enhancement factor is: where = fast flux (E 1 MeV, n/cm-s), C = 1.2 10 (n/cm-s), and P = 0.24. The iron enhancement factor is defined by Gilmore et al. (December 1995) as Activation energy in the post-transition period is found to be dependent on hydrogen content (Cheng et al., 1996): where = hydrogen enhancement factor at hydride rim ( = 18811.25 ppm), = 24825 cal/mol, and = 9135.6 cal/mol.
Zirconium Alloy at High Temperatures
In the high temperature range (e.g., accident situations) the coolant has become steam, and oxidation proceeds much more rapidly than at normal LWR operating temperatures. Under these conditions, the kinetics of oxide scale growth and oxygen mass gain in the cladding can be described by a parabolic law, with the reaction rate constant defined as a function of the temperature through an Arrhenius relation (Schanz, 2003) (4) where is either the oxide scale thickness, = S (m), or the oxygen mass, = g (kg/m), is the metal-oxide interface temperature (K), is the oxidation rate constant (m or kg/m), is the activation energy (J/mol), and is the universal gas constant (J/mol-K).
Following the recommendations in Schanz (2003), the BISON model includes correlations for oxide scale growth and oxygen mass gain rates in Zircaloy-2/4 appropriate to different temperature ranges. In particular, the following approach is adopted:
For metal-oxide interface temperatures from 673 K up to 1800 K, the Leistikov (Leistikow et al., 1983) correlation is used. The Cathcart-Pawel correlation (Cathcart et al., 1977) is also available and can be chosen as an option. The Leistikov correlation has been selected as reference in view of the larger underlying database, the availability of experimentally determined mass gain for all tests, and the better fit for lower temperature relative to the Cathcart-Pawel correlation (Schanz, 2003).
Between 1800 and 1900 K, a linear interpolation is made. Linear interpolation between two correlations of Arrhenius type is obtained by a third correlation of the same type (Schanz, 2003).
Above 1900 K, the Prater-Courtright correlation (Prater and Courtright, 1987) is used.
The values of the parameters in Eq. (4) relative to the different correlations are given in Table 3.
Table 3: Parameters of the correlations for oxide scale (S) and oxygen mass gain (g) at high temperature (Schanz, 2003)
| Correlation | (ms) | (K) | (kg/m-s) | (K) |
|---|---|---|---|---|
| Leistikov | ||||
| Cathcart-Pawel | ||||
| Prater-Courtright |
Example Input Syntax
This material model requires the cladding inner and outer radius to be specified, which can either be done using the clad_inner_radius and clad_outer_radius parameters, or by specifying the name of a FuelPinGeometry UserObject, which provides those dimensions. Examples for both methods can be seen below.
[Materials<<<{"href": "../../syntax/Materials/index.html"}>>>]
[oxidation_zry]
type = ZryOxidation<<<{"description": "Incorporates correlations for Zircaloy cladding oxidation through metal-water reactions. Calculated processes include outer oxide scale thickness growth and oxygen mass gain; the model is to be applied to the cladding waterside boundary. Current version covers LWR Zircaloy cladding only.", "href": "ZryOxidation.html"}>>>
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = 1
clad_inner_radius<<<{"description": "Inner cladding radius (m)"}>>> = 0.004650
clad_outer_radius<<<{"description": "Outer cladding radius (m)"}>>> = 0.005375
normal_operating_temperature_model<<<{"description": "Type of zircaloy corrosion model to use under normal operating temperatures. Choices are: epri_kwu_ce epri_sli"}>>> = epri_kwu_ce
high_temperature_model<<<{"description": "Type of zircaloy corrosion model to in accident condition high temperatures. Choices are: leistikow cathcart"}>>> = leistikow
temperature<<<{"description": "Cladding outer surface temperature (K)"}>>> = temp
fast_neutron_flux<<<{"description": "Fast neutron flux (n/m^2-sec)"}>>> = fast_neutron_flux
show_debug_output<<<{"description": "flag to save and output additional information to aid in debugging"}>>> = true
[]
[][Materials<<<{"href": "../../syntax/Materials/index.html"}>>>]
[oxidation_zry]
type = ZryOxidation<<<{"description": "Incorporates correlations for Zircaloy cladding oxidation through metal-water reactions. Calculated processes include outer oxide scale thickness growth and oxygen mass gain; the model is to be applied to the cladding waterside boundary. Current version covers LWR Zircaloy cladding only.", "href": "ZryOxidation.html"}>>>
boundary<<<{"description": "The list of boundaries (ids or names) from the mesh where this object applies"}>>> = 1
normal_operating_temperature_model<<<{"description": "Type of zircaloy corrosion model to use under normal operating temperatures. Choices are: epri_kwu_ce epri_sli"}>>> = epri_kwu_ce
high_temperature_model<<<{"description": "Type of zircaloy corrosion model to in accident condition high temperatures. Choices are: leistikow cathcart"}>>> = leistikow
temperature<<<{"description": "Cladding outer surface temperature (K)"}>>> = temp
fast_neutron_flux<<<{"description": "Fast neutron flux (n/m^2-sec)"}>>> = fast_neutron_flux
fuel_pin_geometry<<<{"description": "Name of the UserObject that reads the pin geometry from the mesh."}>>> = pin_geometry
[]
[]Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- clad_inner_radius0Inner cladding radius (m)
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Inner cladding radius (m)
- clad_outer_radius0Outer cladding radius (m)
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Outer cladding radius (m)
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
- fast_neutron_fluxFast neutron flux (n/m^2-sec)
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Fast neutron flux (n/m^2-sec)
- fraction_iron_particles0the fraction of iron particles disolve for a given initial particle size distribution, used in the EPRI_SLI model
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:the fraction of iron particles disolve for a given initial particle size distribution, used in the EPRI_SLI model
- fuel_pin_geometryName of the UserObject that reads the pin geometry from the mesh.
C++ Type:UserObjectName
Controllable:No
Description:Name of the UserObject that reads the pin geometry from the mesh.
- high_temperature_modelleistikowType of zircaloy corrosion model to in accident condition high temperatures. Choices are: leistikow cathcart
Default:leistikow
C++ Type:MooseEnum
Options:leistikow, cathcart
Controllable:No
Description:Type of zircaloy corrosion model to in accident condition high temperatures. Choices are: leistikow cathcart
- interface_hydrogen_content0the cold side hydrogen content in the cladding metal-oxide interface
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:the cold side hydrogen content in the cladding metal-oxide interface
- lithium_concentration0lithium concentration (ppm)
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:lithium concentration (ppm)
- ls_functionLevel set function variable. If not given, normals will be used to determine heat flux.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Level set function variable. If not given, normals will be used to determine heat flux.
- normal_operating_temperature_modelepri_kwu_ceType of zircaloy corrosion model to use under normal operating temperatures. Choices are: epri_kwu_ce epri_sli
Default:epri_kwu_ce
C++ Type:MooseEnum
Options:epri_kwu_ce, epri_sli
Controllable:No
Description:Type of zircaloy corrosion model to use under normal operating temperatures. Choices are: epri_kwu_ce epri_sli
- oxidation_rate_scale_factor1Scaling facter for oxide growth rate
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Scaling facter for oxide growth rate
- oxygen_weight_fraction_initial0.0012As-fabricated oxygen weight fraction in cladding
Default:0.0012
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:As-fabricated oxygen weight fraction in cladding
- show_debug_outputFalseflag to save and output additional information to aid in debugging
Default:False
C++ Type:bool
Controllable:No
Description:flag to save and output additional information to aid in debugging
- tin_content1.38tin content (weight percent)
Default:1.38
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:tin content (weight percent)
- use_coolant_channelFalseCoolant channel model is used
Default:False
C++ Type:bool
Controllable:No
Description:Coolant channel model is used
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL009/BFL009.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa.i)
- (assessment/LWR/validation/Super_Ramp/analysis/Super_Ramp_Base.i)
- (assessment/LWR/validation/Riso_AN8/analysis/Riso_AN8.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
- (assessment/LWR/validation/HbepR1/analysis/A184/HbepR1_A184.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE067/UFE067.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1.i)
- (assessment/LWR/validation/IFA_681/analysis/rod1/IFA_681_rod1.i)
- (assessment/LWR/validation/HbepR1/analysis/A364/HbepR1_A364.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/REP_Na_4.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_3d_10MPa_01Kpers_90deg/rebeka_singlerod_3d_10MPa_90deg.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_aniso.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa_aniso.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM073/BFM073.i)
- (test/tests/zry_oxidation_cladding/alt_oxidation_cladding_zry.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
- (examples/accident_tolerant_fuel/u3si2_zircaloy/u3si2_zircaloy.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM034/BFM034.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM156/BFM156.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
- (test/tests/zry_oxidation_cladding/zryoxidation_pingeo.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2_1p5d_fr_frd.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5_aniso.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1_1p5d_fr_ffrd.i)
- (examples/hydride_rim/hydride_rim.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1_1p5d_fr_frd.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa_aniso.i)
- (test/tests/zry_oxidation_cladding/zryoxidation.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2.i)
- (test/tests/zry_oxidation_cladding/adZryoxidation.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
- (examples/spent_fuel/full_life_cycle_coarse/discrete.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
- (assessment/LWR/validation/HbepR1/analysis/H8364/HbepR1_H8364.i)
- (test/tests/zry_oxidation_cladding/oxidation_cladding_zry.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM043/BFM043.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL031/BFL031.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa.i)
- (test/tests/zry_oxidation_cladding/corrosion_epri_kwu_ce.i)
- (examples/non-cylindrical_fuel/2D/non-cyl_base_irrad.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFG092/BFG092.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa_aniso.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1.i)
- (assessment/LWR/validation/IFA_681/analysis/rod3/IFA_681_rod3.i)
- (assessment/LWR/validation/IFA_681/analysis/rod2/IFA_681_rod2.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa.i)
- (assessment/LWR/validation/IFA_677/analysis/IFA_677_Base.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa_aniso.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM071/BFM071.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_aniso.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_ad.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE019/UFE019.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM070/BFM070.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2_1p5d_fr_ffrd.i)
- (test/tests/zry_oxidation_cladding/corrosion_epri_sli.i)
- (assessment/LWR/validation/Super_Ramp/analysis/PK62/PK62_weighted_gap_VCP.i)
- (test/tests/xfem/level_set_xfem_oxidation/ls_xfem_zry_oxidation_default.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/RIA/REP_Na_4_RIA.i)
- (assessment/LWR/validation/RIA_CABRI_REP_Na/analysis/REP_Na_Base.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso_hunt.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFJ027/BFJ027.i)
- (test/tests/OxideEnergyDeposition/matpro_test.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_2/IFA_650_2.i)
- (test/tests/zry_oxidation_cladding/oxide_coolant_couple.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_ad.i)
- (assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BEN013/BEN013.i)
- (assessment/LWR/validation/IFA_716/analysis/IFA_716_Base.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_ad.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa.i)
References
- J. V. Cathcart, R. E. Pawel, R. A. McKee, R. E. Druschel, G. J. Yurek, J. J. Campbell, and S. H. Jury.
Zirconium metal-water oxidation kinetics, IV. reaction rate studies.
Technical Report ORNL/NUREG-17, Oak Ridge National Laboratory, 1977.[BibTeX]
@TECHREPORT{cathcart_ea_1977, author = "Cathcart, J. V. and Pawel, R. E. and McKee, R. A. and Druschel, R. E. and Yurek, G. J. and Campbell, J. J. and Jury, S. H.", title = "Zirconium metal-water oxidation kinetics, {IV}. Reaction rate studies", year = "1977", number = "ORNL/NUREG-17", publisher = "Oak Ridge National Laboratory, USA", institution = "Oak Ridge National Laboratory" } - B. Cheng, P. M. Gilmore, and H. H. Klepfer.
PWR zircaloy fuel cladding corrosion performance, mechanisms, and modeling.
In Zirconium in the Nuclear Industry: Eleventh International Symposium, 137–160. ASTM STP 1295, American Society for Testing and Materials, 1996, 1996.[BibTeX]
@INPROCEEDINGS{cheng1996, author = "Cheng, B. and Gilmore, P. M. and Klepfer, H. H.", title = "{PWR} Zircaloy Fuel Cladding Corrosion Performance, Mechanisms, and Modeling", booktitle = "Zirconium in the Nuclear Industry: Eleventh International Symposium", year = "1996", pages = "137-160", publisher = "ASTM STP 1295, American Society for Testing and Materials, 1996" } - F. Garzarolli and M. Garzarolli.
PWR Zr alloy cladding water side corrosion.
Technical Report ANT International, ANT International, 2012.[BibTeX]
@TECHREPORT{garzarolli2012, author = "Garzarolli, F. and Garzarolli, M.", title = "{PWR} {Z}r Alloy Cladding Water Side Corrosion", year = "2012", number = "ANT International", publisher = {M\"{o}lnlycke, Sweden}, institution = "ANT International" } - F. Garzarolli, W. Jung, H. Shoenfeld, A. M. Garde, G. W. Parray, and P.G. Smerd.
Review of PWR fuel rod waterside corrosion behavior.
Technical Report EPRI NP-2789 Project 1250 Final Report, Kraftwerk Union A.G. and Combustion Engineering Inc., 1982.[BibTeX]
@TECHREPORT{garzarolli1982, author = "Garzarolli, F. and Jung, W. and Shoenfeld, H. and Garde, A. M. and Parray, G. W. and Smerd, P.G.", title = "Review of {PWR} Fuel Rod Waterside Corrosion Behavior", year = "1982", number = "EPRI NP-2789 Project 1250 Final Report", publisher = "Electric Power Research Institute, Palo Alto, CA", institution = "Kraftwerk Union A.G. and Combustion Engineering Inc." } - P. M. Gilmore, H. H. Klepfer, and J. M. Sorensen.
EPRI PWR fuel cladding corrosion (PFCC) model volume 1: theory and user's manual.
Technical Report TR-105387-V1, EPRI, December 1995.[BibTeX]
@TECHREPORT{gilmore1995, author = "Gilmore, P. M. and Klepfer, H. H. and Sorensen, J. M.", title = "{EPRI} {PWR} Fuel Cladding Corrosion ({PFCC}) Model Volume 1: Theory and User's Manual", year = "December 1995", number = "TR-105387-V1", publisher = "EPRI", institution = "EPRI" } - S. Leistikow, G. Schanz, H. v. Berg, and A.E. Aly.
Comprehensive presentation of extended Zircaloy-4/steam oxidation results 600-1600 C.
In CSNI/IAEA specialists meeting on water reactor fuel safety and fission product release in off-normal and accident conditions. Riso Nat. Lab., Denmark, 1983.[BibTeX]
@inproceedings{leistikov_ea_1983, author = "Leistikow, S. and Schanz, G. and v. Berg, H. and Aly, A.E.", title = "Comprehensive presentation of extended {Z}ircaloy-4/steam oxidation results 600-1600 {C}", year = "1983", booktitle = "CSNI/IAEA specialists meeting on water reactor fuel safety and fission product release in off-normal and accident conditions", address = "Riso Nat. Lab., Denmark" } - J. T. Prater and E. L. Courtright.
Zircaloy-4 oxidation at 1300 to 2400 C.
Technical Report NUREG/CR-4889, PNL-6166, Pacific Northwest Lab, 1987.[BibTeX]
@TECHREPORT{prater_courtright_1987, author = "Prater, J. T. and Courtright, E. L.", title = "Zircaloy-4 oxidation at 1300 to 2400 {C}", year = "1987", number = "NUREG/CR-4889, PNL-6166", publisher = "", institution = "Pacific Northwest Lab" } - I. G. Ritchie.
Waterside corrosion of zirconium alloys in nuclear power plants.
Technical Report IAEA TECDOC 996, IAEA, 1998.[BibTeX]
@TECHREPORT{ritchie1998, author = "Ritchie, I. G.", title = "Waterside Corrosion of Zirconium Alloys in Nuclear Power Plants", year = "1998", number = "IAEA TECDOC 996", publisher = "IAEA Vienna", institution = "IAEA" } - G. Schanz.
Recommendations and supporting information on the choice of zirconium oxidation models in severe accident codes.
Technical Report FZKA 6827, SAM-COLOSS-P043, Institut für Materialforschung, 2003.[BibTeX]
@TECHREPORT{schanz_2003, author = "Schanz, G.", title = "Recommendations and supporting information on the choice of Zirconium oxidation models in severe accident codes", year = "2003", number = "FZKA 6827, SAM-COLOSS-P043", publisher = "Forschungszentrum Karlsruhe GmbH, Karlsruhe, Germany", institution = {Institut f{\"u}r Materialforschung} }
(test/tests/zry_oxidation_cladding/oxidation_cladding_zry.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_kwu_ce, Leistikow, and Prater relations.
#
# The mesh is a 1x1x1 cube, with temperature boundary conditions ramping from
# 600K to 1950K, no displacement boundary conditions.
#
# The final oxidation thickness expected is 4.059e-4 m and the final total gained
# oxygen concentration is 7.228e-1 kg/m^3, from hand calculations performed alongside
# the BISON simulation.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = cube_111.e
[]
[]
[Functions]
[Temp_func]
type = PiecewiseLinear
x = '0. 100000000. 100000010. 100000100. 100000110. 100000200. 100000210. 100000300.'
y = '600. 600. 1100. 1100. 1850. 1850. 1950. 1950. '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0. 100000300.'
y = '1.e+17 1.e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 1
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 1
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 1
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 1
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 1
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 1
[]
[]
[BCs]
[bottom_T]
type = FunctionDirichletBC
variable = temp
function = Temp_func
boundary = 1
[]
[x_disp]
type = DirichletBC
variable = disp_x
value = 0
boundary = 1
[]
[y_disp]
type = DirichletBC
variable = disp_y
value = 0
boundary = 2
[]
[z_disp]
type = DirichletBC
variable = disp_z
value = 0
boundary = 3
[]
[]
[Materials]
[elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[oxidation_zry]
type = ZryOxidation
boundary = 1
clad_inner_radius = 0.004650
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
fast_neutron_flux = fast_neutron_flux
show_debug_output = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.e-08
nl_abs_tol = 1.e-08
nl_rel_tol = 1.e-08
start_time = 0.
num_steps = 5000 #5000
end_time = 100000300 #*100
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0. 100000000.'
time_dt = '1.e+06 10. '
growth_factor = 1.
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
file_base = oxidation_cladding_zry_out
[exodus]
type = Exodus
[]
[]
(test/tests/zry_oxidation_cladding/zryoxidation_pingeo.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_kwu_ce, Leistikow, and Prater relations.
#
# The purpose of this test is to run zryoxidation.i while using FuelPinGeometry
# and then exodiff against the non-FuelPinGeometry version
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
include_fuel = false
pellet_quantity = 1
pellet_height = 0.011143
pellet_outer_radius = 4.57e-3
clad_mesh_density = coarse
clad_gap_width = 70.0e-6
clad_thickness = 0.735e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.5e-3
top_clad_height = 2.5e-3
clad_top_gap_height = 5.0e-3
elem_type = QUAD4
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Functions]
[Temp_func]
type = PiecewiseLinear
x = '0.0 100000000.0 100000010.0 100000100.0 100000110.0 100000200.0 100000210.0 100000300.0'
y = '600.0 600.0 1100.0 1100.0 1850.0 1850.0 1950.0 1950.0 '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0.0 100000300.0'
y = '1.0e+17 1.0e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.0
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 1
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 1
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 1
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 1
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 1
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 1
[]
[]
[BCs]
[bottom_T]
type = FunctionDirichletBC
variable = temp
function = Temp_func
boundary = 1
[]
[x_disp]
type = DirichletBC
variable = disp_x
value = 0
boundary = 1
[]
[y_disp]
type = DirichletBC
variable = disp_y
value = 0
boundary = 2
[]
[]
[Materials]
[elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[oxidation_zry]
type = ZryOxidation
boundary = 1
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
fast_neutron_flux = fast_neutron_flux
fuel_pin_geometry = pin_geometry
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.0e-08
nl_abs_tol = 1.0e-08
nl_rel_tol = 1.0e-08
start_time = 0.0
num_steps = 5000
end_time = 100000300
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0.0 100000000.0'
time_dt = '1.e+06 10.0 '
growth_factor = 1.0
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
file_base = zryoxidation_out
exodus = true
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
include_fuel = false
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL009/BFL009.i)
################################################################################
#
# Description: Calvert Cliffs BFL009
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFL009_power.csv
# axial peaking factor file BFL009_axial_peaking.csv
# flux boundary condition file BFL009_fast_flux.csv
#
################################################################################
initial_fuel_density = 10460.45
[GlobalParams]
density = ${initial_fuel_density} #95.332 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = BFL009_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFL009_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFL009_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 167148794 167149154'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 167148794 167149154'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFL009_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0013589
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '9 13'
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10460.45
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 273
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 167149154
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_2984]
type = NodalVariableValue
nodeid = 2983
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '8.e+06 8.e+06' # 80 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_08MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/Super_Ramp/analysis/Super_Ramp_Base.i)
#This is a partial input file base with information/features common to several experiments within this assessment
#NOTE: This file will NOT run on its own, it requires a PK#X.params file and a PK##.params file to run
# physical constants
R = 8.3143 # (J/K*mol) -- THIS SHOULD BE EDITED TO USE PHYSICALCONSTANTS' VALUE
# fuel isotope fractions and fission energy
energy_per_fission = 3.28451e-11 # (J/fission)
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# rod geometry
clad_bot_gap_height = 1.0e-3 # (m)
# variable and kernel initial values
initial_temperature = 293.15 # (K)
gravity_constant = -9.81 # (m/s^2)
# fuel/cladding contact
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
roughness_secondary = 1.0e-6 # (m)
roughness_primary = 2.0e-6 # (m)
roughness_coef = 3.2
jump_distance_model = LANNING
contact_pressure = mechanical_normal_lm
thermal_lm_scaling = 1.0e-2
# plenum parameters
initial_pressure = 2.25e6 # (Pa)
startup_time = 0 # (s)
# fuel/clad material properties
fuel_cracking_stress = 1.68e8
stress_free_temperature = 293.15 # (K)
clad_density = 6550.0 # (kg/m^3)
# numerical options
l_max_its = 100
l_tol = 1e-4
nl_max_its = 30
start_time = 0.0 # s
dtmin = 1.0 # s
[GlobalParams]
density = ${fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
initial_porosity = ${initial_fuel_porosity}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temperature'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = ${number_pellets}
pellet_height = ${pellet_height}
pellet_outer_radius = ${pellet_outer_radius}
pellet_mesh_density = customize
nx_p = 11
ny_p = 84
clad_mesh_density = customize
nx_c = 4
ny_c = 84
clad_gap_width = ${clad_gap_width}
clad_thickness = ${clad_thickness}
clad_bot_gap_height = ${clad_bot_gap_height}
bottom_clad_height = ${bottom_clad_height}
top_clad_height = ${top_clad_height}
clad_top_gap_height = ${clad_top_gap_height}
ny_cu = 3
ny_cl = 3
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
[]
[axial_power_factors]
type = PiecewiseBilinear
data_file = ${axial_power_factors_data_file}
axis = 1
[]
[clad_out_temp]
type = PiecewiseLinear
data_file = ${clad_out_temp_data_file}
format = columns
[]
[axial_temp_factors]
type = PiecewiseBilinear
data_file = ${axial_temp_factors_data_file}
axis = 1
[]
[clad_temp_bc]
type = CompositeFunction
functions = 'clad_out_temp axial_temp_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = ${coolant_pressure_data_file}
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = ${fast_neutron_flux_data_file}
format = columns
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = ${initial_grain_radius}
[]
[porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
initial_condition = ${initial_fuel_porosity}
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gaseous_porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
temperature = temperature
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
temperature = temperature
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = ${gravity_constant}
block = '1 3'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temperature
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[porosity]
type = PorosityAuxUO2
block = pellet
variable = porosity
execute_on = linear
[]
[pelletid]
type = PelletIdAux
block = pellet
variable = pellet_id
fuel_pin_geometry = pin_geometry
number_pellets = ${number_pellets}
execute_on = initial
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[gaspor]
type = MaterialRealAux
variable = gaseous_porosity
property = gaseous_porosity
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = pellet
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = pellet
execute_on = nonlinear
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
num_radial = 80
num_axial = 20
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = ${friction_coefficient}
c_normal = ${c_normal}
c_tangential = ${c_tangential}
tangential_lm_scaling = ${tangential_lm_scaling}
normal_lm_scaling = ${normal_lm_scaling}
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
roughness_secondary = ${roughness_secondary}
roughness_primary = ${roughness_primary}
roughness_coef = ${roughness_coef}
plenum_pressure = plenum_pressure
jump_distance_model = ${jump_distance_model}
contact_pressure = ${contact_pressure}
thermal_lm_scaling = ${thermal_lm_scaling}
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = 5
outer_surfaces = 10
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temperature
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_pressure}
startup_time = ${startup_time}
R = ${R}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = ${fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
density = ${fuel_density}
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
burnup_function = burnup
initial_grain_radius = ${initial_grain_radius}
[]
[fuel_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = ${fuel_cracking_stress}
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
model_relocation_recovery = true
max_relocation_recovery_fraction = 0.5
relocation_scaling_factor = 1
volumetric_swelling_increment = vol_swell_increment
layered_average_contact_pressure = layered_average_contact_pressure
outputs = all
output_properties = 'relocation_strain recovered_relocation_strain'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
hydrostatic_stress = hydrostatic_stress
diff_coeff_option = TURNBULL_D1_4D2_D3
transient_option = MICROCRACKING_BURNUP
res_param_option = HETEROGENEOUS_WHITE
ig_bubble_model = NUCLEATION_RESOLUTION
ig_diff_algorithm = polypole2
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${clad_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
fuel_pin_geometry = pin_geometry
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ${petsc_options_value}
line_search = 'none'
verbose = true
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
n_startup_steps = 1
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
optimal_iterations = ${optimal_iterations}
iteration_window = ${iteration_window}
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temperature
nodeid = 3110 #Mesh dependent!
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[midplane_hoop_strain_inner_clad]
type = ElementalVariableValue
elementid = 209 # Mesh dependent
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[midplane_hoop_stress_inner_clad]
type = ElementalVariableValue
elementid = 209 # Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[midplane_contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 3141 # Mesh dependent
execute_on = 'initial timestep_end'
[]
[total_rod_integral_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[total_rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${scale_factor}
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 10
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[midplane_clad_outer_temp]
type = NodalVariableValue
nodeid = 757 # Mesh dependent
variable = temperature
[]
[midplane_clad_inner_temp]
type = NodalVariableValue
nodeid = 747 # Mesh dependent
variable = temperature
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = false
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'average_burnup fission_gas_released_percentage central_fuel_temp midplane_contact_pressure'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[pbz]
type = PelletBrittleZone
block = pellet
pellet_id = pellet_id
temperature = temperature
fuel_pin_geometry = pin_geometry
number_pellets = ${number_pellets}
execute_on = 'initial linear'
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 10
[]
[]
(assessment/LWR/validation/Riso_AN8/analysis/Riso_AN8.i)
id = Riso_AN8
# Fuel material properties
initial_fuel_density = 10273.9 # kg/m^3 (TD assumed: 10960 kg/m^3)
initial_grain_radius = 4.68e-06 # m
initial_fuel_porosity = 0.063 # (-)
fuel_thermal_expansion_coeff = 10.0e-06 # K^-1
# Cladding material properties
cladding_density = 6550.0 # kg/m^3
cladding_thermal_conductivity = 16.0 # W/m-K
cladding_specific_heat = 330.0 # J/kg-K
# Cladding geometry
clad_inner_radius = 4.6305e-03 # m
clad_outer_radius = 5.405e-03 # m
# Rod geometry
a_lower = 0.0153 # m
a_upper = 0.52935 # m
number_pellets = 75
fuel_inner_radius = 0.0 # m
fuel_outer_radius = 4.5265e-03 # m
fuel_volume_ratio = 1.0 # (-)
fuel_diameter = 9.053e-03 # m
diametral_gap = 208.0e-06 # m
patch_size = 10 # (-)
num_radial_burnup = 50 # (-)
bias_radial_burnup = 0.95 # (-)
num_axial_burnup = 75 # (-)
# Neutronics, power, and isotope fractions
energy_per_fission = 3.28451e-11 # J/fission
fast_neutron_flux_factor = 1 # (-)
isotope_fraction_U235 = 0.0295
isotope_fraction_U238 = 0.9705
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Temperature conditions
initial_temperature = 293 # K
temperature_scaling = 1e2 # (-)
stress_free_temperature = 293.15 # K
# Contact
friction_coefficient = 0.4
c_normal = 1e+8
c_tangential = 1e+18
tangential_lm_scaling = 1.0e-12
normal_lm_scaling = 1.0e-12
roughness_secondary = 1.0e-6
roughness_primary = 2.0e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
# Relocation
burnup_relocation_stop = 0.031 # FIMA
relocation_activation1 = 5000 # W/m
# Plenum parameters
initial_plenum_pressure = 2.31e+06 # Pa
startup_time = 0 # s
# Problem parameters
acceptable_multiplier = 10
acceptable_iterations = 15
# Numerical options
l_max_its = 200
l_tol = 1.0e-02
nl_max_its = 30
nl_rel_tol = 1e-04
nl_abs_tol = 1e-06
start_time = -100.0 # s
n_startup_steps = 1
end_time = 103599691.0 # s
dtmax = 1.0e+06 # s
dtmin = 0.01 # s
TimeStepper_dt = 1.0e+02 # s
TimeStepper_growth_factor = 2.0
TimeStepper_optimal_iterations = 100
TimeStepper_linear_iteration_ratio = 100
TimeStepper_iteration_window = 2
TimeStepper_max_function_change = 3000.0
# Coolant pressure ramp parameters
power_history_scale_factor = 1 # (-)
# Postprocessor parameters
central_fuel_temperature_nodeid = 54 # !! Mesh dependent
midplane_hoop_strain_inner_clad_nodeid = 1138 # !! Mesh dependent
midplane_hoop_stress_inner_clad_nodeid = 1138 # !! Mesh dependent
midplane_contact_pressure_nodeid = 163 # !! Mesh dependent
# blocks
blocks_fuel = 'pellet_type_1'
blocks_all = 'pellet_type_1 clad'
chkfile_show = 'average_burnup average_centerline_fuel_temperature fission_gas_released_percentage rod_total_power average_fission_rate max_fuel_temperature'
# Data file pathways
rod_mesh_file = Riso_AN8/analysis/mesh_AN8.e
power_history_data_file = Riso_AN8/analysis/alhr_history.csv
axial_peaking_data_file = Riso_AN8/analysis/axial_lhr_factors.csv
clad_out_temperature_data_file = temp_outer_clad_history.csv
axial_temperature_factors_data_file = axial_temp_factors.csv
coolant_pressure_data_file = pressure_coolant.csv
flux_data_file = Riso_AN8/analysis/fast_neutron_flux.csv
!include ../../Riso_Base.i
!include ../../Riso_Base_sub.i
[Problem]
acceptable_multiplier = ${acceptable_multiplier}
acceptable_iterations = ${acceptable_iterations}
[]
[Variables]
[temperature]
scaling = ${temperature_scaling}
[]
[]
[Functions]
[clad_out_temperature]
type = PiecewiseLinear
data_file = ${clad_out_temperature_data_file}
format = columns
[]
[axial_temperature_factors]
type = PiecewiseBilinear
data_file = ${axial_temperature_factors_data_file}
axis = 1
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = ${coolant_pressure_data_file}
format = columns
[]
[clad_temperature_bc]
type = CompositeFunction
functions = 'clad_out_temperature axial_temperature_factors'
[]
[]
[AuxVariables]
[porosity]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
initial_condition = ${initial_fuel_porosity}
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[gaseous_porosity]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = ${blocks_fuel}
[]
[]
[AuxKernels]
[porosity]
type = PorosityAuxUO2
block = ${blocks_fuel}
variable = porosity
execute_on = linear
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[gaspor]
type = MaterialRealAux
variable = gaseous_porosity
property = gaseous_porosity
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
add_variables = false
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz
vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain
fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
[]
[clad]
add_variables = false
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz
vonmises_stress strain_zz creep_strain_xx creep_strain_zz hoop_stress'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
[]
[]
[Kernels]
[heat_source]
fission_rate = fission_rate
[]
[]
[Contact]
[mechanical]
correct_edge_dropping = true
[]
[]
[ThermalContactMortar]
[thermal_contact]
correct_edge_dropping = true
[]
[]
[BCs]
[no_y_fuel_all]
type = DirichletBC
variable = disp_y
boundary = 4
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure
[]
[]
[]
[Materials]
[fuel_swelling]
gas_swelling_model_type = SIFGRS
[]
[fuel_thermal]
initial_porosity = ${initial_fuel_porosity}
[]
[clad_irradiation_growth_eigenstrain]
zircaloy_material_type = stress_relief_annealed
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[]
[Executioner]
[TimeStepper]
max_function_change = ${TimeStepper_max_function_change}
growth_factor = ${TimeStepper_growth_factor}
[]
[]
[Postprocessors]
[central_fuel_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${central_fuel_temperature_nodeid}
[]
[midplane_hoop_strain_inner_clad]
type = ElementalVariableValue
elementid = ${midplane_hoop_strain_inner_clad_nodeid}
variable = strain_zz
[]
[midplane_hoop_stress_inner_clad]
type = ElementalVariableValue
elementid = ${midplane_hoop_stress_inner_clad_nodeid}
variable = hoop_stress
[]
[midplane_contact_pressure]
type = ElementalVariableValue
elementid = ${midplane_contact_pressure_nodeid}
variable = contact_pressure
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
initial_fuel_density = 10452.96
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
# end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_4_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/HbepR1/analysis/A184/HbepR1_A184.i)
initial_fuel_density = 10490
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.95e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .0049695
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.68
ny_cl = 3
clad_top_gap_height = 0.24682
clad_gap_width = 1.005e-4
elem_type = QUAD8
[]
patch_size = 100 # 1000 lowering this and setting the strategy to auto will reduce the amount of memory required to run the job.
patch_update_strategy = iteration #auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 273 #K
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.148e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseConstant
data_file = A184-power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = A184-axial-profile.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '-100 0 166323600 166327200' #
y = '0.014429 1 1 0.014429'
[]
[temp_ramp]
type = PiecewiseBilinear
data_file = A184-axial-tempprofile.csv
scale_factor = 1
axis = 1
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz creep_strain_xx
creep_strain_xy creep_strain_yy vonmises_stress creep_strain_zz'
[]
[]
# Define kernels for the various terms in the PDE system
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate # coupling to the fission_rate aux variable
extra_vector_tags = 'ref'
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.68664e13 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.68478
fuel_inner_radius = 0.0
fuel_outer_radius = .0049695 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0233 .9767 0 0 0 0'
RPF = RPF
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 1.1e-6
roughness_secondary = 3.5e-7
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 # Pa
function = pressure_ramp
[]
[]
[coolant_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = temp_ramp
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 0.375e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
initial_porosity = 0.04
temperature = temp
burnup = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00507
clad_outer_radius = 0.005865
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 273
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 0.00939 # fuel pellet diameter in meters
diametral_gap = 100.5e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = .047 # turn off relocation
relocation_activation1 = 5000
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 273
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10490
total_densification = .0043
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[UserObjects]
[integral_burnup] # Added the computation of the average fuel rod burnup
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-3
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 166327200
dtmax = 1e6
dtmin = 0.1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
# Clad postprocessor (The rest are created with StandardLWRFuelRodOutputs)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
output_limiting_function = power_history
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE067/UFE067.i)
################################################################################
#
# Description: Calvert Cliffs UFE067
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file UFE067_power.csv
# axial peaking factor file UFE067_axial_peaking.csv
# flux boundary condition file UFE067_fast_flux.csv
#
################################################################################
initial_fuel_density = 10396.59
[GlobalParams]
density = ${initial_fuel_density} #94.75 %TD Assume TD = 10972.65 kg/m3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.30013
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = UFE067_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = UFE067_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 141158832 141159192'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 141158832 141159192'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = UFE067_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx '
'strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy '
'creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0398 .9602 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
layer_thickness = layer_thickness_action
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 273
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 60
l_tol = 8e-3
nl_max_its = 80
nl_rel_tol = 1e-4
nl_abs_tol = 1e-7
start_time = -100
end_time = 141159192
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage '
'maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '6.e+06 6.e+06' # 60 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_06MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1.i)
# Simulation ORNL burst tests Zr2_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 400. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_1_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/IFA_681/analysis/rod1/IFA_681_rod1.i)
# Halden test IFA-681, rod 1
initial_fuel_density = 10478
[GlobalParams]
density = ${initial_fuel_density}. # 95.6% 10960
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 'mesh_ifa681r1_093_quad4.e'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[average_lhr]
type = PiecewiseLinear
data_file = 'alhr_history_ifa681r1.csv'
scale_factor = 1.e+03
format = columns
[]
[axial_scaling_lhr]
type = PiecewiseBilinear
data_file = 'peakfact_lhr_ifa681r1.csv'
axis = 1
[]
[radial_power_profile]
type = PiecewiseBilinear
data_file = 'radial_power_fact_helios_ifa681r1.csv'
axis = 0
[]
[coolant_inlet_temp]
type = PiecewiseLinear
data_file = 'coolant_inlet_temp_ifa681r1.csv'
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = 'fast_nflux_ifa681r1.csv'
scale_factor = 1.e+17
format = columns
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200. 0.'
y = ' 0. 1.'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
initial_condition = 8.5e-06
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 'clad'
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_3 pellet_type_4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel_pellets]
add_variables = false
block = 'pellet_type_3 pellet_type_4'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = false
block = 'clad'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_xx creep_strain_zz'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[uo2nat]
add_variables = false
block = 'pellet_type_2 pellet_type_5'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'uo2nat_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[al2o3]
add_variables = false
block = 'pellet_type_1 pellet_type_6'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'al2o3_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_3 pellet_type_4'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_3 pellet_type_4'
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
rpf_input = radial_power_profile
num_radial = 40
bias = 0.95
num_axial = 20
a_lower = 118.3e-03
a_upper = 518.7e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.095e-03
fuel_volume_ratio = 1.
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.0e+7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
kennard_coefficient = 0.2173
jump_distance_model = TOPTAN
roughness_primary = 1.0e-6
roughness_secondary = 2.0e-6
gap_conductance_model = TOPTAN
quadrature = true
normal_smoothing_distance = 0.1
[]
[pellet_to_pellet1]
type = GapHeatTransfer
variable = temp
primary = 21
secondary = 22
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet2]
type = GapHeatTransfer
variable = temp
primary = 23
secondary = 24
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet3]
type = GapHeatTransfer
variable = temp
primary = 25
secondary = 26
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet4]
type = GapHeatTransfer
variable = temp
primary = 27
secondary = 28
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet5]
type = GapHeatTransfer
variable = temp
primary = 29
secondary = 30
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[CoolantChannel]
# Halden HBWR under natural circulation (v=0.4m/s)
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_inlet_temp
inlet_pressure = 3.5e+06 # Pa
inlet_massflux = 360. # kg/m^2-s
flow_area = 0.000195
heated_diameter = 0.0261
heated_perimeter = 0.0298
hydraulic_diameter = 0.0261
htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
compute_enthalpy = true
linear_heat_rate = average_lhr
axial_power_profile = axial_scaling_lhr
oxide_thickness = oxide_thickness
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.5e+06
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
## fuel ##
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_3 pellet_type_4'
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_3 pellet_type_4'
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_3 pellet_type_4'
temperature = temp
thermal_expansion_coeff = 10.0e-06
stress_free_temperature = 295.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
burnup_function = burnup
temperature = temp
gas_swelling_model_type = SIFGRS
block = 'pellet_type_3 pellet_type_4'
initial_fuel_density = 10478. # 95.6% 10960
initial_porosity = 0.044
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_3 pellet_type_4'
burnup_function = burnup
diameter = 8.19e-03
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
diametral_gap =170.e-06
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release_and_swelling]
type = UO2Sifgrs
block = 'pellet_type_3 pellet_type_4'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.044
diff_coeff_option = TURNBULL_D1_D2
transient_option = NO_TRANSIENT
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_3 pellet_type_4'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = TOPTAN
initial_porosity = 0.044
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_3 pellet_type_4'
strain_free_density = ${initial_fuel_density}
[]
## uo2nat ##
[uo2nat_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_2 pellet_type_5'
youngs_modulus = 2.0e+11
poissons_ratio = 0.345
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_2 pellet_type_5'
[]
[uo2nat_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_2 pellet_type_5'
temperature = temp
thermal_expansion_coeff = 10.e-06
stress_free_temperature = 295.0
eigenstrain_name = 'uo2nat_thermal_eigenstrain'
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_2 pellet_type_5'
thermal_conductivity = 3.
specific_heat = 300.
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_2 pellet_type_5'
strain_free_density = ${initial_fuel_density}
[]
## al2o3 ##
[al2o3_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1 pellet_type_6'
youngs_modulus = 3.0e+11
poissons_ratio = 0.21
[]
[al2o3_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_6'
[]
[al2o3_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_6'
temperature = temp
thermal_expansion_coeff = 8.1e-06
stress_free_temperature = 295.0
eigenstrain_name = 'al2o3_thermal_eigenstrain'
[]
[al2o3_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_6'
thermal_conductivity = 18.
specific_heat = 880.
[]
[al2o3_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_6'
strain_free_density = 3800.
[]
## clad ##
[clad_elasticity]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temp
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
stress_free_temperature = 295
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
use_coolant_channel = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
min_value = 295
max_value = 3000
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = ' lu superlu_dist 100'
l_tol = 1.e-02
line_search = 'none'
l_max_its = 200
nl_max_its = 30
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200.
n_startup_steps = 1
end_time = 223062317.
num_steps = 20000
dtmax = 5.e+05
dtmin = 1.
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.e+02
optimal_iterations = 25
iteration_window = 5
timestep_limiting_function = average_lhr
force_step_every_function_point = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = average_lhr
[]
[gas_volume]
type = InternalVolume
boundary = 9
[]
[fuel_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
[]
[TCHoleBot_temp]
type = NodalVariableValue
variable = temp
nodeid = 63 # !! Mesh dependent
[]
[TC_temp_node1]
type = NodalVariableValue
variable = temp
nodeid = 793
[]
[TC_temp_node2]
type = NodalVariableValue
variable = temp
nodeid = 785
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_3 pellet_type_4'
value_type = max
variable = temp
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_3 pellet_type_4'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
exodus = true
perf_graph = true
[console]
type = Console
max_rows = 5
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage max_fuel_temp'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/HbepR1/analysis/A364/HbepR1_A364.i)
initial_fuel_density = 10490
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 8.0e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .0052195
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.68
ny_cl = 3
clad_top_gap_height = 0.2461
clad_gap_width = 1.055e-4
elem_type = QUAD8
[]
patch_size = 100 # 1000 lowering this and setting the strategy to auto will reduce the amount of memory required to run the job.
patch_update_strategy = auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 273 #K
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.148e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseConstant
data_file = A364-power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = A364-axial-profile.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '-100 0 166323600 166327200' #
y = '0.014429 1 1 0.014429'
[]
[temp_ramp]
type = PiecewiseBilinear
data_file = A364-axial-tempprofile.csv
scale_factor = 1
axis = 1
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz creep_strain_xx
creep_strain_xy creep_strain_yy vonmises_stress creep_strain_zz'
[]
[]
# Define kernels for the various terms in the PDE system
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate # coupling to the fission_rate aux variable
extra_vector_tags = 'ref'
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.68056e13 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.68478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0052195 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0308 .9692 0 0 0 0'
RPF = RPF
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 1.1e-6
roughness_secondary = 0.35e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 # Pa
function = pressure_ramp
[]
[]
[coolant_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = temp_ramp
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 0.375e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get inital fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
initial_porosity = 0.04
temperature = temp
burnup = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.005325
clad_outer_radius = 0.006125
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 273
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 0.010439 # fuel pellet diameter in meters
diametral_gap = 105.5e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = .049 # turn off relocation
relocation_activation1 = 5000
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 273
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10490
total_densification = .0043
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[UserObjects]
[integral_burnup] # Added the computation of the average fuel rod burnup
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 166327200
dtmax = 1e6
dtmin = 0.1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
# Clad postprocessor (The rest are created with StandardLWRFuelRodOutputs)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
output_limiting_function = power_history
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '6.e+06 6.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_06MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+06 1.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_01MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/REP_Na_4.i)
# REP Na 4 Rodlet Base Irradiation
initial_fuel_density = 10476.35
[GlobalParams]
density = ${initial_fuel_density} # assumed TD = 10970
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = AugmentedLagrangianContactProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
maximum_lagrangian_update_iterations = 200
acceptable_iterations = 30
acceptable_multiplier = 5
[]
[Mesh]
coord_type = RZ
patch_size = 40
#patch_update_strategy = auto
#partitioner = centroid
#centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = REP_Na4.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.15
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_inner_wall = 5
clad_outer_wall = 2
clad_top = 3
clad_bottom = 1
pellet_exteriors = 8
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
initial_condition = 5.0e-6 # Assume Grain size 10 microns
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[fuel_cond]
order = CONSTANT
family = MONOMIAL
[]
[swelling_strain]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_axial_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_flux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_hmode]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_htype]
order = CONSTANT
family = MONOMIAL
[]
[critical_heat_flux]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_mag]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[SED]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = REPNa4_power_history_Full.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = REPNa4_axial_peaking_Full.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # inlet coolant pressure evolution
type = PiecewiseLinear
scale_factor = 1.0
xy_data = '0 101325
8640 15499970
124675200 15499970
124718400 101325
125193600 101325
125193610 101325
125193650 500008
125193700 500008
125193900 500008
125194000 101325
125194100 101325'
[]
[temp_ramp] # inlet coolant temp evolution
type = PiecewiseLinear
scale_factor = 0.985
xy_data = '0 293.15
8640 591
20476800 591
21859200 600
47692800 600
51840000 593
72144000 593
73440000 586
96940800 586
99360000 583
124675200 583
124761600 293.15
125193600 293.15
125193650 553.15
125193900.0 553.150
125194000.0 293.150
125194100.0 293.150'
[]
[burnup_GWd]
type = ParsedFunction
expression = bu*950
symbol_names = 'bu'
symbol_values = 'average_burnup'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz axial_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 'clad'
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz plastic_strain_xx plastic_strain_yy plastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx
elastic_strain_yy elastic_strain_zz hoop_stress axial_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.5678974
a_lower = 0.0045
fuel_inner_radius = 0
fuel_outer_radius = 0.0040959
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0449 0.9551 0 0 0 0'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_profile
factor = 3e13 #n/m2-s
block = 'clad'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
block = 'clad'
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[fuel_conductance]
type = MaterialRealAux
property = thermal_conductivity
variable = fuel_cond
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[swelling_strain]
type = MaterialRealAux
property = volumetric_swelling_strain
variable = swelling_strain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = axial_creep_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = hoop_plastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = axial_plastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[total_axial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_axial_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = axial_elastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[plastic_strain_mag]
type = MaterialRealAux
property = effective_plastic_strain
variable = plastic_strain_mag
block = clad
execute_on = timestep_end
[]
[clad_coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = clad_coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[clad_coolant_flux]
type = MaterialRealAux
property = output_heat_flux
variable = clad_coolant_flux
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
property = critical_heat_flux
variable = critical_heat_flux
boundary = 2
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
[]
[ofract_total]
type = MaterialRealAux
property = current_oxygen_weight_frac_total
variable = oxywtfract_total
execute_on = timestep_end
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
property = oxygen_weight_frac_gained_total
variable = oxywtfgain_total
execute_on = timestep_end
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
property = fract_beta_phase
variable = fract_beta_phase
block = 'clad'
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 210 #10
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 10.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[pellet_clad_mechanical_2]
primary = 5
secondary = 410
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2.0e-6
roughness_secondary = 0.5e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
emissivity_primary = 0.800 #Emissivity for fuel
emissivity_secondary = 0.325 #Emissivity for clad
refab_time = 125107200
refab_gas_types = He
refab_fractions = 1
contact_coef = 20 #10 default
[]
[]
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_temperature = 293.15
initial_pressure = 2.60e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior #plenumTemp
volume = gas_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
# extra_vector_tags = 'ref'
refab_time = 125107200
refab_pressure = 0.301e6
refab_temperature = 293.15
refab_volume = 2.0e-6
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = 3244.044104 # kg/m^2-sec
rod_diameter = 0.00951 # m
rod_pitch = 1.26e-2 # m
coolant_material = 'water'
compute_enthalpy = true
oxide_thickness = oxide_thickness # coupled oxide_thickness
number_axial_zone = 50
[]
#
# [convective_clad_surface_sodium] # apply convective boundary to clad outer surface
# boundary = '1 2 3'
# variable = temp
# inlet_temperature = temp_ramp # K
# inlet_pressure = pressure_ramp # Pa
# inlet_massflux = 3533 # kg/m^2-sec Based on flow rate provided and flow area and estimated density of 885.1 kg/m^3
# flow_area = 8.74855e-5 #m^2
# heated_diameter = 1.172526e-2 #m
# hydraulic_diameter = 4.7e-3 #m
# heated_perimeter = 2.984513e-2 #m
# coolant_material = 'sodium'
# compute_enthalpy = true
# heat_transfer_mode = 0
# oxide_thickness = oxide_thickness # coupled oxide_thickness
# number_axial_zone = 50
# rod_diameter = 0.0095 # m
# htc_correlation_type = 2
# []
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
strain_free_density = ${initial_fuel_density}
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.045
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
matpro_poissons_ratio = 1
matpro_youngs_modulus = 1
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.0208
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = 'pin_geometry'
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
initial_fuel_density = 10476.35
total_densification = 0.00675
initial_porosity = 0.045
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
fission_rate = fission_rate
initial_porosity = 0.045
grain_radius = grain_radius
gbs_model = true
transient_option = NO_TRANSIENT
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6550
[]
[clad_thermal]
type = ZryThermal
block = 'clad'
temperature = temp
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
temperature = temp
matpro_poissons_ratio = true
matpro_youngs_modulus = true
cold_work_factor = 0.5
fast_neutron_fluence = fast_neutron_fluence
block = 'clad'
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_zryplasticity'
block = 'clad'
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
creeprate_scale_factor = 1
model_irradiation_creep = 1
model_primary_creep = 1
model_thermal_creep = 1
max_inelastic_increment = 0.0002
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = 'clad'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = 0.5
plasticity_model_type = MATPRO
zircaloy_alloy_type = 4
max_inelastic_increment = 0.0002
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00417789
clad_outer_radius = 0.00475615
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
oxygen_weight_fraction_initial = 0.0012
[]
[phase]
type = ZrPhase
block = 'clad'
numerical_method = 2
temperature = temp
[]
[StrainEnergyDensity]
type = StrainEnergyDensity
block = 'clad'
incremental = 1
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200 # The maximum permissible iterative value for the variable.
min_value = 200 # The minimum permissible iterative value for the variable.
variable = temp # The name of the variable that this damper operates on
[]
[contact_slip]
type = ContactSlipDamper
primary = 5
secondary = 10
min_damping_factor = 0.05
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'contact'
contact_line_search_allowed_lambda_cuts = 0
contact_line_search_ltol = 0.5
verbose = true
l_max_its = 100
l_tol = 1e-3
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = 0
end_time = 125193600 #125194100 is the end time for the RIA
dtmax = 1e6
dtmin = 1e-7
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e3
optimal_iterations = 100
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_function = power_profile
max_function_change = 1e6
force_step_every_function_point = true
timestep_limiting_postprocessor = material_timestep
time_t = '125193610 125193620 125193630 125193640 125193650 125193660 125193670 125193680'
time_dt = '10 10 10 10 10 10 10 10'
growth_factor = 5
[]
[Quadrature]
order = FIFTH #SEVENTH
side_order = SEVENTH #Comment out if order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9 #For RIA the node number is ##***8479***##
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = 'clad'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = 'clad'
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[gas_volume] # gas volume
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[1_rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[3_burnup_GWd]
type = FunctionValuePostprocessor
function = burnup_GWd
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = 'clad'
variable = vonmises_stress
[]
[z_average_RPF]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = RPF
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = 'clad'
[]
## Nodal values
[FCT] #fuel centerline temperature
type = NodalVariableValue
variable = temp
nodeid = 3866 #(0, 0.303375, 0)
[]
[FST] #fuel surface temperature
type = NodalVariableValue
variable = temp
nodeid = 3823 #(0.0040959, 0.303375, 0)
[]
[CIST] #clad inner surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9557 #(0.0041779, 0.305106, 0)
[]
[COST] #clad outer surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9547 #(0.00475615, 0.305106, 0)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 3823 #(0.0040959, 0.303375, 0)
use_displaced_mesh = true
[]
#######################################
[qpoint_penetration] #FOCE
type = ElementalVariableValue
variable = qpoint_penetration
elementid = 1200
use_displaced_mesh = 1
[]
[penetration] #FOCN
type = NodalVariableValue
variable = penetration
nodeid = 3823
use_displaced_mesh = 1
[]
[contact_pressure] #FOCN
type = NodalVariableValue
variable = contact_pressure
nodeid = 3823
use_displaced_mesh = 1
[]
[gap_cond] #FOCE
type = ElementalVariableValue
variable = gap_cond
elementid = 1200
use_displaced_mesh = 1
[]
[creep_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_creep_strain
elementid = 2981
use_displaced_mesh = 1
[]
[elastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_elastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[plastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_plastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[total_hoop_strain] #COCE
type = ElementalVariableValue
variable = total_hoop_strain
elementid = 2981
use_displaced_mesh = 1
[]
[clad_hoop_stress] #COCE
type = ElementalVariableValue
variable = hoop_stress
elementid = 2981
use_displaced_mesh = 1
[]
[clad_axial_elongation] #COTN
type = NodalVariableValue
variable = disp_y
nodeid = 10755
use_displaced_mesh = 1
[]
[clad_oxide_thickness] #COCE
type = ElementalVariableValue
variable = oxide_thickness
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_htc] #COCE
type = ElementalVariableValue
variable = clad_coolant_htc
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_temp] #COCE
type = ElementalVariableValue
variable = coolant_temp
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_flux] #COCE
type = ElementalVariableValue
variable = clad_coolant_flux
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_hmode] #COCE
type = ElementalVariableValue
variable = coolant_channel_hmode
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_htype] #COCE
type = ElementalVariableValue
variable = coolant_channel_htype
elementid = 2981
use_displaced_mesh = 1
[]
[critical_heat_flux] #COCE
type = ElementalVariableValue
variable = critical_heat_flux
elementid = 2981
use_displaced_mesh = 1
[]
[fuel_centerline_temp] #FICN
type = NodalVariableValue
variable = temp
nodeid = 3866
[]
[fuel_surface_temp] #FOCN
type = NodalVariableValue
variable = temp
nodeid = 3823
[]
[clad_inner_surface_temp] #CICN
type = NodalVariableValue
variable = temp
nodeid = 9557
[]
[clad_outer_surface_temp] #COCN
type = NodalVariableValue
variable = temp
nodeid = 9547
[]
[fuel_axial_elongation] #FOTN
type = NodalVariableValue
variable = disp_y
nodeid = 7739
[]
[clad_radial_elongation] #COCN
type = NodalVariableValue
variable = disp_x
nodeid = 9547
[]
[fuel_radial_elongation] #FOCN
type = NodalVariableValue
variable = disp_x
nodeid = 3823
[]
[SED_PPN_O] #COCE
type = ElementalVariableValue
variable = SED
elementid = 2981
use_displaced_mesh = 1
[]
[SED_PPN_I] #CICE
type = ElementalVariableValue
variable = SED
elementid = 2984
use_displaced_mesh = 1
[]
[zz_OFract_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfract_total
elementid = 2981
use_displaced_mesh = 1
[]
[zz_OGain_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfgain_total
elementid = 2981
use_displaced_mesh = 1
[]
#######################################
[max_clad_SED]
type = ElementExtremeValue
block = 'clad'
variable = SED
value_type = max
[]
#Post processor to calculate radial average enthalpy. This postprocessor isnt available yet in BISON
[z_RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.3
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = z_RAE
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_diameter'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_pellet_diameter'
[]
#Location of peak power node at appoximately 0.3 m in mesh
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = 'outfile_radial_temp'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
csv = true
#exodus = true
color = false
[outfile_clad_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_pellet_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_radial_temp]
type = CSV
end_time = -100000
[]
[console]
type = Console
output_linear = true
max_rows = 10
[]
[chkfile]
type = CSV
show = 'ave_temp_interior fission_gas_released FCT average_burnup peak_RAE'
execute_on = 'FINAL'
[]
[exodus]
type = Exodus
time_step_interval = 4
end_time = 125193700
[]
[exodus_RIA]
type = Exodus
time_step_interval = 3
start_time = 125193695
[]
[checkpoint_RIA]
type = Checkpoint
file_base = recover_files_RIA
sync_times = '124761600 125107200 125193600 125193650 125193700 125193700.06 125193700.07 125193700.08 125193700.09 125193700.10 125193700.20 125193700.30 125193700.40 125193700.50 125193700.60 125193700.70 125193700.80 125193700.90 125193701.00 125193701.25 125193701.50 125193701.75 125193702.00 125193702.25 125193702.50 125193702.75 125193703.00 125193704.00 125193705.00'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
show_material_props = true
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
# Halden test IFA-650.10
initial_fuel_density = 10447
[GlobalParams]
density = ${initial_fuel_density}. # 95.32% of 10960
displacements = 'disp_x disp_y'
temperature = temp
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
coord_type = RZ
patch_size = 5 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ifa65010.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[linear_heat_rate]
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = lhr_peaking_factors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[rod_outer_pressure]
type = PiecewiseLinear
data_file = rod_outer_pressure.csv
scale_factor = 1.e+06
format = columns
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = temp_outer_clad.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[q] # same as linear_heat_rate for the base irradiation
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heat_sink_temperature.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_coolant_htc]
type = PiecewiseLinear
data_file = htc_average.csv
scale_factor = 1.
format = columns
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '0 125690842. 125691189.5'
y = '9 9 8 '
direction = 'right'
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
format = columns
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
initial_condition = 4.65e-06
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_hflux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[thcond]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_conductivity
block = pellet_type_1
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxi_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = 'initial linear'
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[coolant_hflux]
type = MaterialRealAux
property = output_heat_flux
variable = coolant_hflux
boundary = 2
execute_on = 'initial linear'
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
execute_on = 'initial linear'
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
execute_on = 'initial linear'
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
execute_on = 'initial linear'
[]
[pelletid]
type = PelletIdAux
block = pellet_type_1
variable = pellet_id
a_lower = 8.5e-03
a_upper = 448.5e-03
number_pellets = 44
execute_on = initial
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = pellet_type_1
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 50
bias = 0.95
num_axial = 20
a_lower = 8.5e-03
a_upper = 448.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.105e-03
fuel_volume_ratio = 1.
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
roughness_secondary = 1.8e-07
roughness_primary = 2.e-06
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 124861061.
refab_type = 0
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = rod_outer_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.6e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 124861061.
refab_pressure = 4.e+06
refab_temperature = 293.15
refab_volume = 1.7e-05
[]
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 0.
end_time = 124861061.0
[]
#[period1]
# type = TimePeriod
# disable_objects = 'BCs/clad_outer_temp'
# start_time = 125690771.0
# end_time = 125691189.5
#[]
[]
[CoolantChannel]
[convective_clad_surface] # PWR conditions (ignored after base irradiation)
boundary = '1 2 3'
variable = temp
heat_transfer_mode = heat_transfer_mode # prescribe htc until end of blowdown. Then use radiative (+ convective prescribed)
heat_transfer_coefficient = average_coolant_htc # For base irradiation, using averge htc from a previous simulation. Afterwards, use constant values (from jernkvist) plus radiation from end of blowdown
effective_emissivity = 0.6 # 0.75 # cf. Jernkvist
inlet_temperature = heat_sink_temperature # K
#inlet_pressure = 15.5e+06 # Pa
#inlet_massflux = 3800. # kg/m^2-s
rod_diameter = 9.5e-03 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
compute_enthalpy = false #true
#oxide_thickness = oxide_thickness
#heat_transfer_mode = 1 # Natural convection
#htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet_type_1
fragmentation_model = BARANI
rod_ave_lin_pow = linear_heat_rate
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
#burnup_function = burnup #TODO For consistency, we should specify burnup_function rather than fission_rate,
#but keeping it this way to match the SM model
initial_grain_radius = 4.65e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 8.21e-03
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =150.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.0468
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.
specific_heat = 330.
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
#l_tol = 8.e-03
line_search = 'none'
l_max_its = 200
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = 0.
n_startup_steps = 1
#end_time = 124861061. # End of base irradiation
end_time = 125690771. # Blowdown. End prescribing clad outer temperature.
#end_time = 125690842. # End of blowdown
#end_time = 125691189.5
dtmax = 5.e+05
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = timestep_material
dt = 1.e+02
#growth_factor = 1.1
#optimal_iterations = 4
#iteration_window = 2
timestep_limiting_function = forced_times #linear_heat_rate
max_function_change = 2000.
force_step_every_function_point = true
time_t = '121509219. 124861061. 125680151. 125690151. 125690771. 125691027. 125691033.'
time_dt = '5.e+05 1.e+04 1.e+04 10. 5. 0.5 5. '
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = pellet_type_1
pellet_id = pellet_id
temperature = temp
a_lower = 8.5e-03
a_upper = 448.5e-03
pellet_radius = 4.105e-03
number_pellets = 44
execute_on = 'initial linear'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = linear_heat_rate
execute_on = 'initial timestep_end'
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[oxygen_fract_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[oxygen_fgain_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[creep_rate_max]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[stress_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_midplane]
type = NodalVariableValue
nodeid = 676 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tclow]
type = NodalVariableValue
nodeid = 826 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tchigh]
type = NodalVariableValue
nodeid = 511 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_plenum_mid]
type = NodalVariableValue
nodeid = 241 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_inner_midplane]
type = NodalVariableValue
nodeid = 679 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_max]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_ave]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_central]
type = NodalVariableValue
variable = temp
nodeid = 1569 # !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[temp_fuel_outer_max]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_strain
execute_on = 'initial timestep_end'
[]
[stress_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[contact_pressure_midplane]
type = ElementalVariableValue
elementid = 1300 # !! Mesh dependent
variable = contact_pressure
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[gap_conductance_average]
type = SideAverageValue
boundary = 10
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[coolant_htc_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_htc_average]
type = SideAverageValue
boundary = 2
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_hflux_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[coolant_hflux_average]
type = SideAverageValue
boundary = 2
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
output_linear = true
max_rows = 10
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_3d_10MPa_01Kpers_90deg/rebeka_singlerod_3d_10MPa_90deg.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
order = SECOND
family = LAGRANGE
[]
[Problem]
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 3d_rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
translation = 0.1625
vary_azimuthally = true
azimuthal_variation_pi2 = -30.
minimum_temperature = 573.0
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[no_z_frontside]
type = DirichletBC
variable = disp_z
boundary = 5
value = 0.
[]
[no_x_backside]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_singlerod_3d_10MPa_90deg_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
include_fuel = false
include_clad = true
include_plenum = false
pellet_outer_radius = 0.00465
clad_gap_width = 0
clad_thickness = 0.000725
fuel_height = 0.1625
slices_per_block = 10
pellet_bottom_coor = 0.0
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = inner_pressure_func
coolant_pressure = outer_pressure_func
coolant_pressure_scaling_factor = 1
fuel_pin_geometry = pin_geometry
[]
[]
[Physics/SolidMechanics/Layered1D]
[clad]
block = clad
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
group_scalar_vars_in_reference_residual = false
mesh_generator = layered1D_mesh
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 5
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 5
function = inner_pressure_func
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1. # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[max_eff_creep_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = effective_creep_strain
[]
[max_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad_slice] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 28 # 1 line element
[]
[inner_pressure_func]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial linear'
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 9 #single line element
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 9 #single line element
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 9 #single line element
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_1pt5_out_chkfile
show = 'ave_clad_exterior_temp max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_aniso.i)
# Simulation ORNL burst tests Zr2_2
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_2.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_2.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
# hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 2.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 2.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_2_aniso_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_191_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.021861442
pellet_height = 0.265388558
pellet_quantity = 1
clad_bot_gap_height = 0.01275
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
# [terminator]
# type = Terminator
# expression = 'burst > 0'
# []
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
rod_ave_lin_pow = power_history
temperature = temperature
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
# n_startup_steps = 1
end_time = 166843509.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '8.e+06 8.e+06' # 80 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_08MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM073/BFM073.i)
################################################################################
#
# Description: Calvert Cliffs BFM073
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM073_power.csv
# axial peaking factor file BFM073_axial_peaking.csv
# flux boundary condition file BFM073_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31914
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM073_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM073_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179191453 179191813'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179191453 179191813'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM073_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179191813
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/zry_oxidation_cladding/alt_oxidation_cladding_zry.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_sli, Cathcart, and Prater relations.
#
# The mesh is a 1x1 square, with temperature boundary conditions on the right
# (coolant side) ramping from 600K to 1950K, no displacement boundary conditions.
#
# The final oxidation thickness expected is 4.047e-4 m and the final total gained
# oxygen concentration is 7.264e-1 kg/m^3, from hand calculations performed alongside
# the BISON simulation.
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.0
xmax = 1.0
ymin = 0.0
ymax = 1.0
elem_type = QUAD4
[]
[]
[Functions]
[out_temp_func]
type = PiecewiseLinear
x = '0. 100000000. 100000010. 100000100. 100000110. 100000200. 100000210. 100000300.'
y = '600. 600. 1100. 1100. 1850. 1850. 1950. 1950. '
[]
[in_temp_func]
type = PiecewiseLinear
x = '0. 100000000. 100000010. 100000100. 100000110. 100000200. 100000210. 100000300.'
y = '800. 800. 1200. 1200. 1850. 1850. 1950. 1950. '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0. 100000300.'
y = '1.e+17 1.e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
#block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 'right'
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 'right'
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 'right'
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 'right'
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 'right'
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 'right'
[]
[]
[BCs]
[right_T]
type = FunctionDirichletBC
variable = temp
boundary = 'right'
function = out_temp_func
[]
[left_du]
type = FunctionDirichletBC
variable = temp
boundary = 'left'
function = in_temp_func
[]
[x_disp]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[y_disp]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[]
[Materials]
[elasticity_tensor]
type = ZryElasticityTensor
#block = 1
[]
[stress]
type = ComputeFiniteStrainElasticStress
#block = 1
[]
[thermal]
type = ZryThermal
#block = 1
temperature = temp
[]
[oxidation_zry]
type = ZryOxidation
boundary = 'right'
clad_inner_radius = 0.004650
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_sli
high_temperature_model = cathcart
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.e-08
nl_abs_tol = 1.e-08
nl_rel_tol = 1.e-08
start_time = 0.
num_steps = 5000 #5000
end_time = 100000300 #*100
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0. 100000000.'
time_dt = '1.e+06 10. '
growth_factor = 1.
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
file_base = alt_oxidation_cladding_zry_out
[exodus]
type = Exodus
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = 0.0170917878663391
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
exodus = true
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
# execute_on = 'FINAL'
# create_final_symlink = true
file_base = 'clad/new'
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(examples/accident_tolerant_fuel/u3si2_zircaloy/u3si2_zircaloy.i)
initial_fuel_density = 11590.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
# Import mesh file
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = u3si2_zircaloy_smeared.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293.0
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_inner_wall = 5
clad_outer_wall = 2
clad_top = 3
clad_bottom = 1
pellet_exteriors = 8
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[densification]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
order = CONSTANT
family = MONOMIAL
[]
[gaseous_swell]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e4 1e8'
y = '0 2.5e4 2.5e4'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '6.537e-3 1 1'
scale_factor = 15.5e6
[]
[mass_flux_func]
type = PiecewiseLinear
x = '-200 0 1e8'
y = '3800 3800 3800'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet_type_1
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
RPF = RPF
fuel_type = U3Si2
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = total_hoop_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
block = clad
[]
[densfication]
type = MaterialRealAux
property = densification
variable = densification
block = pellet_type_1
[]
[solid_swell]
type = MaterialRealAux
property = solid_swelling
variable = solid_swell
block = pellet_type_1
[]
[gaseous_swell]
type = MaterialRealAux
property = gaseous_swelling
variable = gaseous_swell
block = pellet_type_1
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
normal_smoothing_distance = 0.1
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = gas_volume
material_input = fis_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = mass_flux_func # kg/m^2-sec
rod_diameter = 9.4996e-3 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = SilicideFuelThermal
block = pellet_type_1
thermal_conductivity_model = WHITE
silicon_mole_fraction = 0.4
temperature = temp
[]
[fuel_elasticity_tensor]
type = U3Si2ElasticityTensor
block = pellet_type_1
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
tangent_operator = elastic
inelastic_models = 'fuel_creep'
[]
[fuel_creep]
type = U3Si2CreepUpdate
block = pellet_type_1
temperature = temp
[]
[fuel_thermal_expansion]
type = U3Si2ThermalExpansionEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = U3Si2VolumetricSwellingEigenstrain
block = pellet_type_1
gaseous_swelling_type = U3SI2FG
temperature = temp
burnup_function = burnup
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = ZryThermal
temperature = temp
block = clad
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_plasticity'
relative_tolerance = 1e-5
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
relative_tolerance = 1e-5
max_inelastic_increment = 1e-4
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_plasticity]
type = ZryPlasticityUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
relative_tolerance = 1e-5
cold_work_factor = 0.5
plasticity_model_type = MATPRO
zircaloy_alloy_type = 4
[]
[fission_gas_behavior]
type = U3Si2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
saturation_coverage = 0.5
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6511.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 4.1783e-3
clad_outer_radius = 4.7498e-3
normal_operating_temperature_model = epri_kwu_ce
temperature = temp
fast_neutron_flux = fast_neutron_flux
use_coolant_channel = true
oxygen_weight_fraction_initial = 0.0012
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 25
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = -200
n_startup_steps = 1
end_time = 1e8
dtmax = 1e6
dtmin = 1e-3
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 3e20
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
timestep_limiting_postprocessor = material_timestep
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[avg_fuel_surface]
type = SideAverageValue
boundary = 10
variable = temp
[]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[pellet_volume]
type = InternalVolume
boundary = 8
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[_dt]
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186
[]
[average_burnup]
type = ElementAverageValue
block = pellet_type_1
variable = burnup
[]
[oxide_thickness]
type = ElementExtremeValue
block = clad
variable = oxide_thickness
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
exodus = true
color = false
csv = true
print_linear_residuals = true
[console]
type = Console
max_rows = 25
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM034/BFM034.i)
################################################################################
#
# Description: Calvert Cliffs BFM034
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM034_power.csv
# axial peaking factor file BFM034_axial_peaking.csv
# flux boundary condition file BFM034_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31392
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM034_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM034_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179410295 179410655'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179410295 179410655'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM034_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179410655
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM156/BFM156.i)
################################################################################
#
# Description: Calvert Cliffs BFM156
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM156_power.csv
# axial peaking factor file BFM156_axial_peaking.csv
# flux boundary condition file BFM156_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.34015
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM156_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM156_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177406235 177406595'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177406235 177406595'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM156_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
# [Dampers]
# [limitT]
# type = MaxIncrement
# variable = temp
# max_increment = 50
# []
# []
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177406595
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1.i)
# Simulation ORNL burst tests Zr4_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr4_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr4_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr4_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 373.9'
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 98 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004175
clad_outer_radius = 0.004750
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 373.9
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr4_1_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.4e+07 1.4e+07' # 140 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_14MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
initial_fuel_density = 10452.96
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[fuel_relo]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 172489043
end_time = 172489661
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
# axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
# hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
# end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 3.0 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
execute_on = 'initial timestep_end'
perf_graph = true
[outfile_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(test/tests/zry_oxidation_cladding/zryoxidation_pingeo.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_kwu_ce, Leistikow, and Prater relations.
#
# The purpose of this test is to run zryoxidation.i while using FuelPinGeometry
# and then exodiff against the non-FuelPinGeometry version
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
include_fuel = false
pellet_quantity = 1
pellet_height = 0.011143
pellet_outer_radius = 4.57e-3
clad_mesh_density = coarse
clad_gap_width = 70.0e-6
clad_thickness = 0.735e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.5e-3
top_clad_height = 2.5e-3
clad_top_gap_height = 5.0e-3
elem_type = QUAD4
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Functions]
[Temp_func]
type = PiecewiseLinear
x = '0.0 100000000.0 100000010.0 100000100.0 100000110.0 100000200.0 100000210.0 100000300.0'
y = '600.0 600.0 1100.0 1100.0 1850.0 1850.0 1950.0 1950.0 '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0.0 100000300.0'
y = '1.0e+17 1.0e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.0
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 1
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 1
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 1
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 1
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 1
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 1
[]
[]
[BCs]
[bottom_T]
type = FunctionDirichletBC
variable = temp
function = Temp_func
boundary = 1
[]
[x_disp]
type = DirichletBC
variable = disp_x
value = 0
boundary = 1
[]
[y_disp]
type = DirichletBC
variable = disp_y
value = 0
boundary = 2
[]
[]
[Materials]
[elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[oxidation_zry]
type = ZryOxidation
boundary = 1
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
fast_neutron_flux = fast_neutron_flux
fuel_pin_geometry = pin_geometry
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.0e-08
nl_abs_tol = 1.0e-08
nl_rel_tol = 1.0e-08
start_time = 0.0
num_steps = 5000
end_time = 100000300
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0.0 100000000.0'
time_dt = '1.e+06 10.0 '
growth_factor = 1.0
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
file_base = zryoxidation_out
exodus = true
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = clad_outside_right
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = clad_outside_right
[]
[ofgain_total]
type = MaterialRealAux
boundary = clad_outside_right
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.0
inlet_pressure = 101325
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 0.01118
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = clad_outside_right
temperature = temperature
clad_inner_radius = 4.88e-3 #checked
clad_outer_radius = 5.59e-3 #checked
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[oxide_thickness]
type = ElementAverageValue
block = clad
variable = scale_thickness
execute_on = TIMESTEP_END
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2_1p5d_fr_frd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_191_part1_1p5d_fr_frd_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.57e-3
fuel_height = 0.265388558
plenum_height = 0.034861442
elem_type = EDGE3
nx_p = 11
pellet_mesh_density = customize
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[tangential_contact_pressure_aux]
block = fuel
[]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
# Add this to accident part
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain '
'axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress '
'creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
layer_friction_user_object = 1DFriction_secondary
temperature = temperature
out_of_plane_pressure_function = fuel_axial_pressure
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress '
'creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
layer_friction_user_object = 1DFriction_primary
temperature = temperature
out_of_plane_pressure_function = clad_axial_pressure
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
# Fuel dispersal
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
# We could have two element UOs to obtain interface stress
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
# Axial relocation object is created by axial relocation action
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
##
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
gap_thickness_threshold = 0.00005
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
n_startup_steps = 1
end_time = 166843509.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
layered = true
fuel_pin_geometry = fuel_pin_geometry
fuel_pellet_blocks = 'fuel'
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2.i)
# Simulation ORNL burst tests Zr2_2
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_2.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_2.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 2.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 2.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_2_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.021861442
pellet_height = 0.265388558
pellet_quantity = 1
clad_bot_gap_height = 0.01275
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 166842000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
include_fuel = false
include_clad = true
include_plenum = false
pellet_outer_radius = 0.00465
clad_gap_width = 0
clad_thickness = 0.000725
fuel_height = 0.1625
slices_per_block = 10
pellet_bottom_coor = 0.0
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = inner_pressure_func
coolant_pressure = outer_pressure_func
coolant_pressure_scaling_factor = 1
fuel_pin_geometry = pin_geometry
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/Layered1D]
[clad]
block = clad
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
group_scalar_vars_in_reference_residual = false
mesh_generator = layered1D_mesh
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[effective_creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
# [inner_temperature]
# type = REBEKADirichletBC
# variable = temperature
# function_tempm = temperature_func
# minimum_temperature = 573.0
# translation = 0.1625
# boundary = 5
# []
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 5
function = inner_pressure_func
[]
[]
[]
# [CoolantChannel]
# [convective_clad_surface]
# boundary = 2
# variable = temperature
# inlet_temperature = 473.
# inlet_pressure = 1.e+05
# inlet_massflux = 1. # kg/m^2-sec # almost stagnant steam
# rod_diameter = 10.75e-03
# rod_pitch = 1.26e-02 # default
# oxide_thickness = scale_thickness
# []
# []
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
# use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = 'ad_fract_beta_phase'
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[max_eff_creep_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = effective_creep_strain
[]
[max_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad_slice] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 28 # 1 line element
[]
[inner_pressure_func]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial linear'
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 9 #single line element
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 9 #single line element
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 9 #single line element
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_1pt5_out_chkfile
show = 'ave_clad_exterior_temp max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1_1p5d_fr_ffrd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 80e-6
plenum_height = 0.0393576
pellet_outer_radius = 3.92e-3
clad_thickness = 0.57e-3
fuel_height = 0.2606424
# nx_c = 2
# nx_p = 11
elem_type = EDGE3
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[tangential_contact_pressure_aux]
block = fuel
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = fuel_axial_pressure
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = clad_axial_pressure
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished fuels (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
# [fuel_pin_geometry]
# type = Layered1DFuelPinGeometry
# mesh_generator = layered1D_mesh
# []
[terminator]
type = Terminator
expression = 'burst > 0'
[]
# We could have two element UOs to obtain interface stress
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.24761028
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
# [uo2_pulverization]
# type = UO2Pulverization
# block = fuel
# layered_average_contact_pressure = contact_pressure
# temperature = temperature
# burnup_function = burnup
# output_properties = pulverized
# outputs = all
# []
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
# [fuel_relocation]
# type = UO2RelocationEigenstrain
# block = fuel
# burnup_function = burnup
# fuel_pin_geometry = fuel_pin_geometry
# rod_ave_lin_pow = power_history
# axial_power_profile = axial_peaking_factors
# burnup_relocation_stop = 0.024
# relocation_activation1 = 5000
# relocation_model = ESCORE_modified
# eigenstrain_name = fuel_relocation_eigenstrain
# []
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
# CHANGE
gap_thickness_threshold = 0.000050
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 95032000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
layered = true
fuel_pin_geometry = fuel_pin_geometry
fuel_pellet_blocks = 'fuel'
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(examples/hydride_rim/hydride_rim.i)
# This input file shows how to use the hydride action
# along with hydrogen pick-up and oxidation
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 660e-6
ymin = 0
ymax = 660e-8
nx = 40
ny = 1
bias_x = 1.15
[]
[]
[Variables]
[hydrogen_in_solution_ppm]
initial_condition = 0
scaling = 1e6
[]
[temperature]
initial_condition = 615
[]
[hydrogen_as_hydride_ppm]
order = FIRST
family = LAGRANGE
initial_condition = 127
scaling = 1e6
[]
[]
[AuxVariables]
[oxide_thickness]
# This needs to be monomial because it uses material properties (thermal_conductivity).
order = CONSTANT
family = MONOMIAL
[]
# Used to prevent negative concentrations
[bounds_dummy]
order = FIRST
family = LAGRANGE
[]
[]
[Bounds]
# To prevent negative concentrations
[Cprec_lower_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = hydrogen_as_hydride_ppm
bound_type = lower
bound_value = 0.
[]
[]
[CladdingHydrides]
[hydrides]
block = 0
temperature = temperature
hydrogen_in_solution_ppm = hydrogen_in_solution_ppm
hydrogen_as_hydride_ppm = hydrogen_as_hydride_ppm
[]
[]
[Kernels]
# This gives a linear profile in temperature within a few seconds.
[heatflow]
type = HeatConduction
variable = temperature
[]
[dTdt]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[oxide]
type = MaterialRealAux
boundary = left
variable = oxide_thickness
property = oxide_scale_thickness
[]
[]
[BCs]
[leftt]
type = DirichletBC
variable = temperature
boundary = left
value = 603
[]
[rightt]
type = DirichletBC
variable = temperature
boundary = right
value = 633
[]
[hydrogen_pickup]
type = HydrogenPickup
variable = hydrogen_in_solution_ppm
boundary = left
oxide_thickness = oxide_thickness
input_pickup_fraction = 0.15
clad_thickness = 660e-6
[]
[]
[Materials]
# Thermal conductivity for oxide aux kernel and for the temperature profile.
[clad_thermal]
type = HeatConductionMaterial
block = 0
thermal_conductivity = 16.0 # W/m-K
specific_heat = 330.0 # J/kg-K
[]
[density]
type = ParsedMaterial
block = 0
property_name = density
expression = 6551.0 # kg/m^3
[]
[ZryOxidation]
type = ZryOxidation
boundary = left
clad_inner_radius = 660e-6
clad_outer_radius = 0
temperature = temperature
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -snes_type'
petsc_options_value = 'lu superlu_dist vinewtonrsls' # This petsc option helps prevent negative concentrations
line_search = 'none'
l_max_its = 60
l_tol = 8e-3
nl_max_its = 30
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
end_time = 2e6
dt = 1
dtmax = 1e4
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
growth_factor = 1.2
optimal_iterations = 5
iteration_window = 1
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[peak_value_hydride]
type = ElementExtremeValue
variable = 'hydrogen_as_hydride_ppm'
block = 0
value_type = 'max'
[]
[]
[PerformanceMetricOutputs]
[]
[VectorPostprocessors]
[content]
type = LineValueSampler
variable = 'temperature hydrogen_in_solution_ppm hydrogen_as_hydride_ppm oxide_thickness'
sort_by = x
start_point = '0 300e-8 0'
end_point = '660e-6 300e-8 0'
num_points = 200
outputs = profile
[]
[]
[Outputs]
perf_graph = true
exodus = true
[console]
type = Console
max_rows = 25
[]
[profile]
type = CSV
execute_on = 'final'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1_1p5d_fr_frd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 8.0e-5
clad_thickness = 0.57e-3
fuel_height = 0.265388558
plenum_height = 0.034861442
elem_type = EDGE3
nx_p = 11
pellet_mesh_density = customize
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
# Define auxilary variables
[tangential_contact_pressure_aux]
block = fuel
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 166755600 166842000'
y = '0.006537 1 1 0.006537'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
layer_friction_user_object = 1DFriction_secondary
out_of_plane_pressure_function = fuel_axial_pressure
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
layer_friction_user_object = 1DFriction_primary
out_of_plane_pressure_function = clad_axial_pressure
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 166842000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 166842000
refab_pressure = 11e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
# Fuel dispersal
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
# We could have two element UOs to obtain interface stress
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.255359
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.0265
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.0095 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
# CHANGE
gap_thickness_threshold = 0.000050
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 166842000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
layered = true
fuel_pin_geometry = fuel_pin_geometry
fuel_pellet_blocks = 'fuel'
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '2.e+06 2.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_02MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(test/tests/zry_oxidation_cladding/zryoxidation.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_kwu_ce, Leistikow, and Prater relations.
#
# The purpose of this input is to be a control for the FuelPinGeometry version
# to compare against and confirm the error checking through cli-args.
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
include_fuel = false
pellet_quantity = 1
pellet_height = 0.011143
pellet_outer_radius = 4.57e-3
clad_mesh_density = coarse
clad_gap_width = 70.0e-6
clad_thickness = 0.735e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.5e-3
top_clad_height = 2.5e-3
clad_top_gap_height = 5.0e-3
elem_type = QUAD4
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Functions]
[Temp_func]
type = PiecewiseLinear
x = '0.0 100000000.0 100000010.0 100000100.0 100000110.0 100000200.0 100000210.0 100000300.0'
y = '600.0 600.0 1100.0 1100.0 1850.0 1850.0 1950.0 1950.0 '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0.0 100000300.0'
y = '1.0e+17 1.0e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.0
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 1
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 1
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 1
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 1
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 1
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 1
[]
[]
[BCs]
[bottom_T]
type = FunctionDirichletBC
variable = temp
function = Temp_func
boundary = 1
[]
[x_disp]
type = DirichletBC
variable = disp_x
value = 0
boundary = 1
[]
[y_disp]
type = DirichletBC
variable = disp_y
value = 0
boundary = 2
[]
[]
[Materials]
[elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[oxidation_zry]
type = ZryOxidation
boundary = 1
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.0e-08
nl_abs_tol = 1.0e-08
nl_rel_tol = 1.0e-08
start_time = 0.0
num_steps = 5000
end_time = 100000300
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0.0 100000000.'
time_dt = '1.0e+06 10.0 '
growth_factor = 1.0
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill.i)
# Simulation ORNL burst tests Zr4_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr4_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr4_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr4_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 373.9'
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
# decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
decomposition_method = TaylorExpansion
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 98 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
# hill_constants = "0.304 0.240 0.956 1.0 1.0 1.0"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004175
clad_outer_radius = 0.004750
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 373.9
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr4_1_ad_hill_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_196_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.0248576
pellet_height = 0.2606424
pellet_quantity = 1
clad_bot_gap_height = 0.0145
pellet_outer_radius = 3.92e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
# [terminator]
# type = Terminator
# expression = 'burst > 0'
# []
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
rod_ave_lin_pow = power_history
temperature = temperature
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
# n_startup_steps = 1
end_time = 95033429.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(test/tests/zry_oxidation_cladding/adZryoxidation.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_kwu_ce, Leistikow, and Prater relations.
#
# The purpose of this input is to be a control for the FuelPinGeometry version
# to compare against and confirm the error checking through cli-args.
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
include_fuel = false
pellet_quantity = 1
pellet_height = 0.011143
pellet_outer_radius = 4.57e-3
clad_mesh_density = coarse
clad_gap_width = 70.0e-6
clad_thickness = 0.735e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.5e-3
top_clad_height = 2.5e-3
clad_top_gap_height = 5.0e-3
elem_type = QUAD4
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[Functions]
[Temp_func]
type = PiecewiseLinear
x = '0.0 100000000.0 100000010.0 100000100.0 100000110.0 100000200.0 100000210.0 100000300.0'
y = '600.0 600.0 1100.0 1100.0 1850.0 1850.0 1950.0 1950.0 '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0.0 100000300.0'
y = '1.0e+17 1.0e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.0
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 1
[]
[oconc_scale]
type = ADMaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 1
[]
[oconc_metal]
type = ADMaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 1
[]
[oconc_total]
type = ADMaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 1
[]
[ofract_metal]
type = ADMaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 1
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 1
[]
[]
[BCs]
[bottom_T]
type = ADFunctionDirichletBC
variable = temp
function = Temp_func
boundary = 1
[]
[x_disp]
type = ADDirichletBC
variable = disp_x
value = 0
boundary = 1
[]
[y_disp]
type = ADDirichletBC
variable = disp_y
value = 0
boundary = 2
[]
[]
[Materials]
[elasticity_tensor]
type = ADZryElasticityTensor
block = 1
[]
[stress]
type = ADComputeFiniteStrainElasticStress
block = 1
[]
[thermal]
type = ADZryThermal
block = 1
temperature = temp
[]
[oxidation_zry]
type = ADZryOxidation
boundary = 1
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.0e-08
nl_abs_tol = 1.0e-08
nl_rel_tol = 1.0e-08
start_time = 0.0
num_steps = 5000
end_time = 100000300
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0.0 100000000.'
time_dt = '1.0e+06 10.0 '
growth_factor = 1.0
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
initial_fuel_density = 10430.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.262416
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseBilinear
data_file = average_coolant_htc.csv
axis = 1
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 200412461 200413048'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain
fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hoop_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_zz creep_strain_zz hoop_stress'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[rel]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
gap_thickness_threshold = 0.00039
axial_relocation_output_options = 'MASS_FRACTION'
mesh_generator = layered1D_mesh
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 199159200
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 199159200
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 1.9e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 199159200.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10430.0
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 199159200 # End base irradiation
# end_time = 200412431 # Begin Blowdown
# end_time = 200413048 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '199159200 200312431 200411431 200412431 200412461 200413048'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_9_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(examples/spent_fuel/full_life_cycle_coarse/discrete.i)
# This model is a linear element, 10 discrete fuel pellet stack (pellet_type_1) with a fine mesh.
# Modifying the base model to simulate the complete fuel life cycle from
# irradiation through dry storage
# Irradiation Time 3 years (6% burnup, ~ 60 MWd/kgU)
# Spent Fuel Pool 3 years
# Vacuum Drying 24 hours
# Dry Cask Storage (DCSS) 5 years
#
irrad_ramp = 8.64e4
irrad_end = 9.46944e7
cool_start = 9.47808e7
cool_end = 4.101408e8
dry_start = 4.101409e8
# dry_end = 4.102272e8 # 24 hour drying
dry_end = 4.101696e8 # 8 hour drying
# store_end = 5.679072e8 # 5 yrs storage
store_end = 4.732416e8 # 2 yrs storage
#
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
initial_porosity = 0.05
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
temperature = temp
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
# Specify coordinate system type
coord_type = RZ
# Import mesh file
patch_update_strategy = auto
patch_size = 20 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = coarse10_rz.e
[]
[]
[Variables]
# Define dependent variables and initial conditions
[temp]
initial_condition = 298.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[max_fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
# Define functions to control power and boundary conditions
[power_history]
type = PiecewiseLinear
x = '0 ${irrad_ramp} ${irrad_end} ${cool_start}'
y = '0 25e3 25e3 0'
[]
[axial_peaking_factors]
type = PiecewiseLinear
axis = y
x = '0.00324 0.0151 0.10998 0.12184'
y = '1.0 1.0 1.0 1.0'
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[coolant_pressure]
type = PiecewiseLinear
# ---- irrad ---- --- pool --- - storage -
x = '0 ${irrad_ramp} ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
y = '1e5 15.5e6 15.5e6 2e5 2e5 1e5 1e5 1e5'
[]
[coolant_temperature]
type = PiecewiseLinear
# ---- irrad ---- --- pool --- - storage -
x = '0 ${irrad_ramp} ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
y = '300 587 587 308 308 308 308 308'
[]
[coolant_htc]
type = PiecewiseLinear
# From CoolantChannel model, HTC falls from 37000 to 22000 as the oxide grows.
# Coolant flow is maintained until after CZP, then 1 more day. Flow is then reduced until the
# correct htc for natural convection is achieved (~400 W/m2-K).
# Drying is handled by DryCaskHeatFlux.
x = '0 ${irrad_ramp} 7e7 ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
y = '37e3 37e3 25e3 22e3 400 400 0 0 0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
[]
[]
[Kernels]
# Define kernels for the various terms in the PDE system
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate
decay_heat_function = decay_heat_function
max_fission_rate = max_fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
a_lower = 0.00324 # mesh dependent!
a_upper = 0.12184 # mesh dependent!
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 0.987775 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
#N235 = N235 # Activate to write N235 concentration to output file
#N238 = N238 # Activate to write N238 concentration to output file
#N239 = N239 # Activate to write N239 concentration to output file
#N240 = N240 # Activate to write N240 concentration to output file
#N241 = N241 # Activate to write N241 concentration to output file
#N242 = N242 # Activate to write N242 concentration to output file
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[max_fission_rate]
type = MaxFissionRateAux
variable = max_fission_rate
block = pellet_type_1
fission_rate = fission_rate
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = nonlinear
[]
[creep_strain_mag]
type = MaterialRealAux
block = clad
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
[]
[]
[BCs]
# Define boundary conditions
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 1.0
function = coolant_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[convective_clad_surface] # apply convective boundary to clad outer surface
type = ConvectiveFluxFunction
boundary = '1 2 3'
variable = temp
coefficient = 'coolant_htc'
T_infinity = 'coolant_temperature'
[]
[cask_cooling]
type = DryCaskHeatFlux
variable = temp
boundary = '1 2 3'
bwr_or_pwr = 'pwr'
fill_gas = 'helium'
ambient_temperature = 298
cask_effective_htc = 3.1 # W/K from each assembly to ambient
start_time = ${cool_end}
drying_duration = 86400
[]
[]
[Controls]
[DCSS]
type = TimePeriod
disable_objects = 'BCs/convective_clad_surface'
start_time = ${cool_end}
end_time = 1e9
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 'pellet_type_1'
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = '2'
clad_inner_radius = 0.00418
clad_outer_radius = 0.00474
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
outputs = all
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
initial_fuel_density = 10431.0
gas_swelling_model_type = SIFGRS
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1'
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1'
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1'
burnup_function = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 0.3
relocation_activation1 = 5000
eigenstrain_name = fuel_relocation_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = 'clad'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_creep_model]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 298.0
eigenstrain_name = clad_thermal_strain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_growth_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
# PETSC options:
# petsc_options
# petsc_options_iname
# petsc_options_value
#
# controls for linear iterations
# l_max_its
# l_tol
#
# controls for nonlinear iterations
# nl_max_its
# nl_rel_tol
# nl_abs_tol
#
# time control
# start_time
# dt
# optimal_iterations
# iteration_window
# linear_iteration_ratio
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 35
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -200
n_startup_steps = 1
end_time = ${store_end}
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 20
iteration_window = 6
time_t = '0 ${irrad_ramp} ${irrad_end} ${cool_start} ${cool_end} ${dry_start} ${dry_end} ${store_end}'
time_dt ='1e3 1e4 1e3 100 100 100 100 100'
growth_factor = 1.5
cutback_factor = .6
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet_type_1
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
outputs = exodus
execute_on = linear
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[_dt] # time step
type = TimestepSize
[]
[num_lin_it]
type = NumLinearIterations
[]
[num_nonlin_it]
type = NumNonlinearIterations
[]
[tot_lin_it]
type = CumulativeValuePostprocessor
postprocessor = num_lin_it
[]
[tot_nonlin_it]
type = CumulativeValuePostprocessor
postprocessor = num_nonlin_it
[]
[alive_time]
type = PerfGraphData
section_name = Root
data_type = TOTAL
[]
[decay_heat_function]
type = DecayHeatFunction
time_at_shutdown = ${cool_start}
table_or_sum = sum
[]
[peak_clad_temp]
type = NodalExtremeValue
variable = temp
block = 'clad'
execute_on = 'timestep_end'
[]
[max_clad_hoop_stress]
type = ElementExtremeValue
variable = stress_zz
block = 'clad'
value_type = 'max'
execute_on = 'timestep_end'
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[peak_oxide_thickness]
type = ElementExtremeValue
variable = oxide_thickness
block = 'clad'
value_type = 'max'
execute_on = 'timestep_end'
[]
[]
[VectorPostprocessors]
[clad_surf_props]
type = LineValueSampler
variable = 'oxide_thickness temp stress_zz'
start_point = '0.00467 0.0001 0'
end_point = '0.00467 0.1279 0'
num_points = 100
sort_by = y
outputs = 'outfile_1'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[chkfile]
type = CSV
show = 'peak_clad_temp peak_oxide_thickness max_clad_hoop_stress'
execute_on = final
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
# Halden test IFA-650.10
initial_fuel_density = 10447
[GlobalParams]
density = ${initial_fuel_density}. # 95.32% of 10960
displacements = 'disp_x disp_y'
temperature = temp
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = true
[]
[Problem]
restart_file_base = 'IFA_650_10_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ifa65010.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[]
[]
[Functions]
[linear_heat_rate]
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = lhr_peaking_factors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[rod_outer_pressure]
type = PiecewiseLinear
data_file = rod_outer_pressure.csv
scale_factor = 1.e+06
format = columns
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = temp_outer_clad.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[q] # same as linear_heat_rate for the base irradiation
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heat_sink_temperature.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_coolant_htc]
type = PiecewiseLinear
data_file = htc_average.csv
scale_factor = 1.
format = columns
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '0 125690842. 125691189.5'
y = '9 9 8 '
direction = 'right'
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
format = columns
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_hflux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[thcond]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_conductivity
block = pellet_type_1
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxi_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = 'initial linear'
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[coolant_hflux]
type = MaterialRealAux
property = output_heat_flux
variable = coolant_hflux
boundary = 2
execute_on = 'initial linear'
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
execute_on = 'initial linear'
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
execute_on = 'initial linear'
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
execute_on = 'initial linear'
[]
[pelletid]
type = PelletIdAux
block = pellet_type_1
variable = pellet_id
a_lower = 8.5e-03
a_upper = 448.5e-03
number_pellets = 44
execute_on = initial
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = pellet_type_1
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 50
bias = 0.95
num_axial = 20
a_lower = 8.5e-03
a_upper = 448.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.105e-03
fuel_volume_ratio = 1.
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
roughness_secondary = 1.8e-07
roughness_primary = 2.e-06
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 124861061.
refab_type = 0
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = rod_outer_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.6e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 124861061.
refab_pressure = 4.e+06
refab_temperature = 293.15
refab_volume = 1.7e-05
[]
[]
[]
[Controls]
#[period0]
# type = TimePeriod
# disable_objects = 'BCs/clad_outer_temp'
# start_time = 0.
# end_time = 124861061.0
#[]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 125690771.0
end_time = 125691189.5
[]
[]
[CoolantChannel]
[convective_clad_surface] # PWR conditions (ignored after base irradiation)
boundary = '1 2 3'
variable = temp
heat_transfer_mode = heat_transfer_mode # prescribe htc until end of blowdown. Then use radiative (+ convective prescribed)
heat_transfer_coefficient = average_coolant_htc # For base irradiation, using averge htc from a previous simulation. Afterwards, use constant values (from jernkvist) plus radiation from end of blowdown
effective_emissivity = 0.6 # 0.75 # cf. Jernkvist
inlet_temperature = heat_sink_temperature # K
#inlet_pressure = 15.5e+06 # Pa
#inlet_massflux = 3800. # kg/m^2-s
rod_diameter = 9.5e-03 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
compute_enthalpy = false #true
#oxide_thickness = oxide_thickness
#heat_transfer_mode = 1 # Natural convection
#htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet_type_1
fragmentation_model = BARANI
rod_ave_lin_pow = linear_heat_rate
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
#burnup_function = burnup #TODO For consistency, we should specify burnup_function rather than fission_rate,
#but keeping it this way to match the SM model
initial_grain_radius = 4.65e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 8.21e-03
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =150.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.0468
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.
specific_heat = 330.
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
#l_tol = 8.e-03
line_search = 'none'
l_max_its = 200
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
n_startup_steps = 1
#end_time = 124861061. # End of base irradiation
#end_time = 125690771. # Blowdown. End prescribing clad outer temperature.
#end_time = 125690842. # End of blowdown
end_time = 125691189.5
dtmax = 5.e+05
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = timestep_material
dt = 1.e+02
#growth_factor = 1.1
#optimal_iterations = 4
#iteration_window = 2
timestep_limiting_function = forced_times #linear_heat_rate
max_function_change = 2000.
force_step_every_function_point = true
time_t = '121509219. 124861061. 125680151. 125690151. 125690771. 125691027. 125691033.'
time_dt = '5.e+05 1.e+04 1.e+04 10. 5. 0.5 5. '
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = pellet_type_1
pellet_id = pellet_id
temperature = temp
a_lower = 8.5e-03
a_upper = 448.5e-03
pellet_radius = 4.105e-03
number_pellets = 44
execute_on = 'initial linear'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = linear_heat_rate
execute_on = 'initial timestep_end'
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[oxygen_fract_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[oxygen_fgain_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[creep_rate_max]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[stress_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_midplane]
type = NodalVariableValue
nodeid = 676 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tclow]
type = NodalVariableValue
nodeid = 826 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tchigh]
type = NodalVariableValue
nodeid = 511 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_plenum_mid]
type = NodalVariableValue
nodeid = 241 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_inner_midplane]
type = NodalVariableValue
nodeid = 679 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_max]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_ave]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_central]
type = NodalVariableValue
variable = temp
nodeid = 1569 # !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[temp_fuel_outer_max]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_strain
execute_on = 'initial timestep_end'
[]
[stress_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[contact_pressure_midplane]
type = ElementalVariableValue
elementid = 1300 # !! Mesh dependent
variable = contact_pressure
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[gap_conductance_average]
type = SideAverageValue
boundary = 10
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[coolant_htc_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_htc_average]
type = SideAverageValue
boundary = 2
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_hflux_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[coolant_hflux_average]
type = SideAverageValue
boundary = 2
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
output_linear = true
max_rows = 10
[]
[outfile_2]
type = CSV
execute_on = 'FINAL'
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/HbepR1/analysis/H8364/HbepR1_H8364.i)
initial_fuel_density = 10490
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
temperature = temp
volumetric_locking_correction = false
[]
# Specify coordinate system type
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
# Set problem dimension (2d-rz here) and import mesh file
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.95e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .0049695
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.68
ny_cl = 3
clad_top_gap_height = 0.244325
clad_gap_width = 1.005e-4
elem_type = QUAD8
[]
patch_size = 100 # 1000 lowering this and setting the strategy to auto will reduce the amount of memory required to run the job.
patch_update_strategy = iteration #auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[]
# Define dependent variables, element order and shape function family, and initial conditions
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 273 #K
[]
[]
# Define auxillary variables, element order and shape function family
[AuxVariables]
[buavg]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 5.148e-6
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
# Define functions to control power and boundary conditions
[Functions]
[power_history]
type = PiecewiseConstant
data_file = H8364-power.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = H8364-axial-profile.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '-100 0 166323600 166327200' #
y = '0.014429 1 1 0.014429'
[]
[temp_ramp]
type = PiecewiseBilinear
data_file = H8364-axial-tempprofile.csv
scale_factor = 1
axis = 1
[]
[]
# Specify that we need solid mechanics (divergence of stress)
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = 3
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_swelling_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress hydrostatic_stress'
[]
[clad]
block = 1
strain = FINITE
incremental = true
eigenstrain_names = 'clad_irradiation_growth_eigenstrain
clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
generate_output = 'stress_xx stress_yy stress_zz creep_strain_xx
creep_strain_xy creep_strain_yy vonmises_stress creep_strain_zz'
[]
[]
# Define kernels for the various terms in the PDE system
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 3 # fission rate applied to the fuel (block 2) only
fission_rate = fission_rate # coupling to the fission_rate aux variable
extra_vector_tags = 'ref'
[]
[]
# Define auxilliary kernels for each of the aux variables
[AuxKernels]
[buavg]
type = SpatialUserObjectAux
block = 3
variable = buavg
execute_on = timestep_end
user_object = integral_burnup
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
factor = 1.6727e13 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = 1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.68478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.0049695 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0139 .9861 0 0 0 0'
RPF = RPF
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e14
normalize_penalty = true
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 1.1e-6
roughness_secondary = 3.5e-7
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
# Define boundary conditions
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 7.0e6 # Pa
function = pressure_ramp
[]
[]
[coolant_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = temp_ramp
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 0.375e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = plenum_temperature # coupling to post processor to get gas temperature approximation
volume = plenum_volume # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
[]
[]
[]
# Define material behavior models and input material property data
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
initial_porosity = 0.04
temperature = temp
burnup = burnup
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00507
clad_outer_radius = 0.005865
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
stress_free_temperature = 273
thermal_expansion_coeff = 10e-6
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup = burnup
diameter = 0.009939 # fuel pellet diameter in meters
diametral_gap = 100.5e-6
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = .049 # turn off relocation
relocation_activation1 = 5000
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_inelastic_stressUpdate]
type = ZryCreepLimbackHoppeUpdate
block = 1
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = 1
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = clad_inelastic_stressUpdate
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 273
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 1
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = RECRYSTALLIZATION_ANNEALED
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
burnup = burnup
initial_fuel_density = 10490
total_densification = .0043
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[UserObjects]
[integral_burnup] # Added the computation of the average fuel rod burnup
type = LayeredAverage
block = 3
variable = burnup
direction = y
num_layers = 1
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = -100
end_time = 166327200
dtmax = 1e6
dtmin = 0.1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[Postprocessors]
# Fuel postprocessors
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
# Clad postprocessor (The rest are created with StandardLWRFuelRodOutputs)
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = 10
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = true
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage rod_ave_lin_pow'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/zry_oxidation_cladding/oxidation_cladding_zry.i)
# This test demonstrates the usage of the model for cladding oxidation from
# normal operating to high temperature (accident) conditions, through the
# epri_kwu_ce, Leistikow, and Prater relations.
#
# The mesh is a 1x1x1 cube, with temperature boundary conditions ramping from
# 600K to 1950K, no displacement boundary conditions.
#
# The final oxidation thickness expected is 4.059e-4 m and the final total gained
# oxygen concentration is 7.228e-1 kg/m^3, from hand calculations performed alongside
# the BISON simulation.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = cube_111.e
[]
[]
[Functions]
[Temp_func]
type = PiecewiseLinear
x = '0. 100000000. 100000010. 100000100. 100000110. 100000200. 100000210. 100000300.'
y = '600. 600. 1100. 1100. 1850. 1850. 1950. 1950. '
[]
[FNFlux_func]
type = PiecewiseLinear
x = '0. 100000300.'
y = '1.e+17 1.e+17 '
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 600.
[]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e+17
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Total oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
function = FNFlux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 1
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 1
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 1
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 1
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 1
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 1
[]
[]
[BCs]
[bottom_T]
type = FunctionDirichletBC
variable = temp
function = Temp_func
boundary = 1
[]
[x_disp]
type = DirichletBC
variable = disp_x
value = 0
boundary = 1
[]
[y_disp]
type = DirichletBC
variable = disp_y
value = 0
boundary = 2
[]
[z_disp]
type = DirichletBC
variable = disp_z
value = 0
boundary = 3
[]
[]
[Materials]
[elasticity_tensor]
type = ZryElasticityTensor
block = 1
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[oxidation_zry]
type = ZryOxidation
boundary = 1
clad_inner_radius = 0.004650
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
fast_neutron_flux = fast_neutron_flux
show_debug_output = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
l_tol = 1.e-08
nl_abs_tol = 1.e-08
nl_rel_tol = 1.e-08
start_time = 0.
num_steps = 5000 #5000
end_time = 100000300 #*100
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.e+06
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
time_t = '0. 100000000.'
time_dt = '1.e+06 10. '
growth_factor = 1.
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[scale_thickness]
type = ElementalVariableValue
elementid = 0
variable = scale_thickness
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 0
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_metal
[]
[oxywtfract_total]
type = ElementalVariableValue
elementid = 0
variable = oxywtfract_total
[]
[]
[Outputs]
file_base = oxidation_cladding_zry_out
[exodus]
type = Exodus
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM043/BFM043.i)
################################################################################
#
# Description: Calvert Cliffs BFM043
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM043_power.csv
# axial peaking factor file BFM043_axial_peaking.csv
# flux boundary condition file BFM043_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31834
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM043_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM043_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179369250 179369610'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179369250 179369610'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM043_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179369610
dtmax = 2.5e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFL031/BFL031.i)
################################################################################
#
# Description: Calvert Cliffs BFL031
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFL031_power.csv
# axial peaking factor file BFL031_axial_peaking.csv
# flux boundary condition file BFL031_fast_flux.csv
#
################################################################################
initial_fuel_density = 10460.45
[GlobalParams]
density = ${initial_fuel_density} #95.332 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
patch_size = 20
patch_update_strategy = auto
partitioner = centroid # this will help with run time
centroid_partitioner_direction = y # this will help with run time
[mesh]
type = FileMeshGenerator
file = BFL031_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFL031_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFL031_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 174660997 174661357'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 174660997 174661357'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFL031_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0013589
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '9 13' # clad interior + fuel exterior
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[oxidationcladding]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 174661357
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_2984]
type = NodalVariableValue
nodeid = 2983
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill_aniso.i)
# Simulation ORNL burst tests Zr4_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr4_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr4_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr4_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 373.9'
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
# decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
decomposition_method = TaylorExpansion
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 98 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004175
clad_outer_radius = 0.004750
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 373.9
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr4_1_ad_hill_aniso_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(test/tests/zry_oxidation_cladding/corrosion_epri_kwu_ce.i)
#
# This case is prepared for testing PWR cladding waterside corrosion using
# EPRI/KWU/CE model
#
# The test case is a plate with an axial length of 0.01 meter and
# a thickness of 0.05cm; cladding OD temperature is 650 K;
# heat flux at cladding OD is 600000 W/m^2; EOL time = 100 days.
#
# Mesh:
# Number of elements in radial direction = 5
# Number of elements in axial direction = 1
#
#
# Spreadsheet calc. results:
# transition time 42 day
# EOL oxide thickness 15.45 micron
#
# Tensor Mechanics BISON results:
# transition time 42 days
# EOL oxide thickness micron 15.20 micron
#
#--------------------------------------------------------------------------------
[Mesh]
[mesh]
type = FileMeshGenerator
file = clad_rz_short_rev4.e
[]
[]
# Define dependent variables, element order and shape function family,
# and initial conditions
[AuxVariables]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300 # K, initial temperature
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
boundary = 3
factor = 1.0e18
execute_on = 'initial timestep_begin'
[]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 3
execute_on = timestep_end
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 3
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 3
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 3
execute_on = 'initial linear'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
# Define boundary conditions
[BCs]
[clad_inner_surface]
type = NeumannBC
boundary = 1
value = 600000 # cladding inner surface heat flux (W/m^2)
variable = temp
[]
[clad_outer_surface]
type = DirichletBC
boundary = 3
value = 650 # K
variable = temp
preset = false
[]
[top_clad]
type = NeumannBC
boundary = 2
value = 0
variable = temp
[]
[bottom_clad]
type = NeumannBC
boundary = 4
value = 0
variable = temp
[]
[]
[Materials]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0 # W/m-K
specific_heat = 330.0 # J/kg-K
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 6551.0 # kg/m^3
[]
[oxidation_zry]
type = ZryOxidation
boundary = 3
clad_inner_radius = 0.0
clad_outer_radius = 0.0
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
use_coolant_channel = false
fast_neutron_flux = fast_neutron_flux
[]
[]
[Executioner]
type = Transient
# PETSC options
solve_type = 'PJFNK'
# controls for linear iterations
l_max_its = 200
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
# time control
start_time = 0.0
dt = 86400
end_time = 8640000
[]
# Define postprocessors
[Postprocessors]
[clad_inner_surface_flux] # area integrated heat flux at clad inner surface
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 1
diffusivity = thermal_conductivity
[]
[clad_outer_surface_flux] # area integrated heat flux at clad outer surface
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[oxid_thickness] #
type = ElementalVariableValue
variable = oxide_thickness
elementid = 4
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 4
variable = oxyconc2_scale
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 4
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 4
variable = oxywtfract_metal
execute_on = 'initial timestep_end'
[]
[]
# Define output file(s)
[Outputs]
exodus = true
file_base = corrosion_epri_kwu_ce_out
[]
(examples/non-cylindrical_fuel/2D/non-cyl_base_irrad.i)
initial_fuel_density = 9720.0
[GlobalParams]
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = non-cyl_mesh_2d.e
[]
[]
[Variables]
[temp]
initial_condition = 295.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'cladding displacer'
[]
[fast_neutron_fluence]
block = 'cladding displacer'
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1e5'
y = '0 29000'
[]
[fission_rate_scale_factor]
type = ParsedFunction
expression = 1407962081891580.0
# 1/cross_sectional_area_of_fuel/energy_per_fission =
# 1407962081891580.0 []
[]
[fission_history]
type = CompositeFunction
functions = 'power_history fission_rate_scale_factor'
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
add_variables = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[displacer]
block = displacer
add_variables = true
eigenstrain_names = 'zirc_thermal_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[cladding]
block = cladding
add_variables = true
eigenstrain_names = 'zirc_thermal_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
incremental = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = 'fission_rate'
extra_vector_tags = 'ref'
block = fuel
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'cladding displacer'
factor = 3e13
rod_ave_lin_pow = power_history
axial_power_profile = 1
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = 'cladding displacer'
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 'side'
variable = oxide_thickness
property = oxide_scale_thickness
[]
[]
[BCs]
[center_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = center
[]
[center_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = center
[]
[right_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = right
[]
[Pressure]
[coolantPressure]
boundary = 'side'
factor = 15.5e6
function = pressure_ramp
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 'side'
variable = temp
inlet_temperature = 580 # K
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.6599e-2 # m (sqrt(area*4/pi))
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = 1.0
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = 'fission_rate'
prop_values = fission_history
block = fuel
[]
[burnup]
type = UPuZrBurnup
initial_X_Zr = 0.72
initial_X_Pu = 0.0
density = ${initial_fuel_density}
block = fuel
[]
[fuel_thermal]
type = UPuZrThermal
block = fuel
X_Zr = 0.72
X_Pu = 0
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[zirc_thermal]
type = HeatConductionMaterial
block = 'cladding displacer'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[zirc_density]
type = StrainAdjustedDensity
block = 'cladding displacer'
strain_free_density = 6551.0
[]
[zirc_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 7.5e10
poissons_ratio = 0.3
block = 'cladding displacer'
[]
[zirc_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zirc_zrycreep'
block = 'cladding displacer'
[]
[zirc_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'cladding displacer'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[zirc_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'cladding displacer'
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = zirc_thermal_strain
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
X_Zr = 0.72
X_Pu = 0.0
temperature = temp
block = fuel
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = fuel_creep
block = fuel
[]
[fuel_creep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
[]
[fuel_swelling]
type = UPuZrVolumetricSwellingEigenstrain
temperature = temp
burnup = burnup
fission_rate = fission_rate
eigenstrain_name = fuel_volumetric_strain
block = fuel
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 'side'
clad_inner_radius = 0.00418
clad_outer_radius = 0.00474
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
outputs = all
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = -snes_ksp_ew
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
start_time = -200
n_startup_steps = 1
end_time = 8e7
num_steps = 5000
dtmax = 1e6
dtmin = 1.0
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
l_max_its = 50
l_tol = 8e-3
nl_max_its = 30
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 15
iteration_window = 3
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 1 # rod height
execute_on = timestep_end
[]
[max_temp]
type = NodalExtremeValue
variable = temp
execute_on = timestep_end
[]
[peak_oxide_thickness]
type = ElementExtremeValue
variable = oxide_thickness
block = 'cladding'
value_type = 'max'
execute_on = 'timestep_end'
[]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
max_rows = 15
[]
[chkfile]
type = CSV
show = 'peak_oxide_thickness'
execute_on = final
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFG092/BFG092.i)
################################################################################
#
# Description: Calvert Cliffs BFG092
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFG092_power.csv
# axial peaking factor file BFG092_axial_peaking.csv
# flux boundary condition file BFG092_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.28354
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFG092_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFG092_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177711767 177712127'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177711767 177712127'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFG092_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
max_value = 3200
min_value = 273
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177712127
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_aniso.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = clad_outside_right
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = clad_outside_right
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = clad_outside_right
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = ADFunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.0
inlet_pressure = 101325
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 0.01118
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
thermal_conductivity = reg_thermal_conductivity
[]
[]
[Materials]
[fuel_thermal]
type = ADHeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_converter]
type = MaterialADConverter
block = pellet
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ADComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_converter]
type = MaterialADConverter
block = clad
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
#hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
block = clad
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = clad_outside_right
temperature = temperature
clad_inner_radius = 4.88e-3 #checked
clad_outer_radius = 5.59e-3 #checked
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[oxide_thickness]
type = ElementAverageValue
block = clad
variable = scale_thickness
execute_on = TIMESTEP_END
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '12.e+06 12.e+06' # 120 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_12MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.0248576
pellet_height = 0.2606424
pellet_quantity = 1
clad_bot_gap_height = 0.0145
pellet_outer_radius = 3.92e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 5
ny_c = 50
nx_p = 11
ny_p = 60
elem_type = QUAD8
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
# Define dependent variables and initial conditions
[temperature]
initial_condition = 295.0 # set initial temp to coolant inlet
[]
[]
[AuxVariables]
# Define auxilary variables
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_relocation_eigenstrain fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temperature
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
decomposition_method = EigenSolution
temperature = temperature
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[]
[UserObjects]
[fuel_pin_geometry]
type = FuelPinGeometry
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[uo2_pulverization]
type = UO2Pulverization
block = pellet
layered_average_contact_pressure = contact_pressure
temperature = temperature
burnup_function = burnup
output_properties = pulverized
outputs = all
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = pellet
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
fuel_pin_geometry = fuel_pin_geometry
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.024
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
# effective_strain_rate_creep = creep_strain_rate
# failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = stress_zz
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Dampers]
[limitT]
type = BoundingValueElementDamper
min_value = 290.0
max_value = 3000.0
variable = temperature
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -10
n_startup_steps = 1
end_time = 95032000
dtmax = 1e6
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = pellet
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[checkpoint]
type = Checkpoint
num_files = 2
[]
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(assessment/LWR/validation/IFA_681/analysis/rod3/IFA_681_rod3.i)
# Halden test IFA-681, rod 3
initial_fuel_density = 10522
[GlobalParams]
density = ${initial_fuel_density}. # 96.0% 10960
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 'mesh_ifa681r3_093_quad4.e'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[average_lhr]
type = PiecewiseLinear
data_file = 'alhr_history_ifa681r3.csv'
scale_factor = 1.e+03
format = columns
[]
[axial_scaling_lhr]
type = PiecewiseBilinear
data_file = 'peakfact_lhr_ifa681r3.csv'
axis = 1
[]
[coolant_inlet_temp]
type = PiecewiseLinear
data_file = 'coolant_inlet_temp_ifa681r3.csv'
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = 'fast_nflux_ifa681r3.csv'
scale_factor = 1.e+17
format = columns
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200. 0.'
y = ' 0. 1.'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
initial_condition = 6.55e-06
[]
[porosity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
initial_condition = 0.039
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 'clad'
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_3 pellet_type_4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel_pellets]
add_variables = false
block = 'pellet_type_3 pellet_type_4'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = false
block = 'clad'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_xx creep_strain_zz'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[uo2nat]
add_variables = false
block = 'pellet_type_2 pellet_type_5'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'uo2nat_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[al2o3]
add_variables = false
block = 'pellet_type_1 pellet_type_6'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'al2o3_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_3 pellet_type_4'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_3 pellet_type_4'
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
num_radial = 40
bias = 0.95
num_axial = 20
a_lower = 120.3e-03
a_upper = 520.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.095e-03
fuel_volume_ratio = 1.
isotopes = 'Gd155 Gd157 U235 U238'
isotope_fractions = '0.04 0.04 0.028 0.892 '
N155 = N155
N157 = N157
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.0e+7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
kennard_coefficient = 0.2173
jump_distance_model = TOPTAN
roughness_primary = 1.0e-6
roughness_secondary = 2.0e-6
gap_conductance_model = TOPTAN
quadrature = true
normal_smoothing_distance = 0.1
[]
[pellet_to_pellet1]
type = GapHeatTransfer
variable = temp
primary = 21
secondary = 22
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet2]
type = GapHeatTransfer
variable = temp
primary = 23
secondary = 24
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet3]
type = GapHeatTransfer
variable = temp
primary = 25
secondary = 26
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet4]
type = GapHeatTransfer
variable = temp
primary = 27
secondary = 28
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet5]
type = GapHeatTransfer
variable = temp
primary = 29
secondary = 30
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[CoolantChannel]
# Halden HBWR under natural circulation (v=0.4m/s)
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_inlet_temp
inlet_pressure = 3.5e+06 # Pa
inlet_massflux = 360. # kg/m^2-s
flow_area = 0.000195
heated_diameter = 0.0261
heated_perimeter = 0.0298
hydraulic_diameter = 0.0261
htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
compute_enthalpy = true
linear_heat_rate = average_lhr
axial_power_profile = axial_scaling_lhr
oxide_thickness = oxide_thickness
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.5e+06
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
## fuel ##
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_3 pellet_type_4'
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_3 pellet_type_4'
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_3 pellet_type_4'
temperature = temp
thermal_expansion_coeff = 10.0e-06
stress_free_temperature = 295.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
burnup_function = burnup
temperature = temp
gas_swelling_model_type = SIFGRS
block = 'pellet_type_3 pellet_type_4'
initial_fuel_density = 10522. # 96.0% 10960
initial_porosity = 0.040
total_densification = 0.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_3 pellet_type_4'
burnup_function = burnup
diameter = 8.19e-03
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
diametral_gap = 170.e-06
burnup_relocation_stop = 1e20
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release_and_swelling]
type = UO2Sifgrs
block = 'pellet_type_3 pellet_type_4'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.040
diff_coeff_option = TURNBULL_D1_D2
transient_option = NO_TRANSIENT
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_3 pellet_type_4'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = TOPTAN
Gd_content = 0.08
initial_porosity = 0.040
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_3 pellet_type_4'
strain_free_density = ${initial_fuel_density}
[]
## uo2nat ##
[uo2nat_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_2 pellet_type_5'
youngs_modulus = 2.0e+11
poissons_ratio = 0.345
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_2 pellet_type_5'
[]
[uo2nat_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_2 pellet_type_5'
temperature = temp
thermal_expansion_coeff = 10.e-06
stress_free_temperature = 295.0
eigenstrain_name = 'uo2nat_thermal_eigenstrain'
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_2 pellet_type_5'
thermal_conductivity = 3.
specific_heat = 300.
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_2 pellet_type_5'
strain_free_density = ${initial_fuel_density}
[]
## al2o3 ##
[al2o3_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1 pellet_type_6'
youngs_modulus = 3.0e+11
poissons_ratio = 0.21
[]
[al2o3_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_6'
[]
[al2o3_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_6'
temperature = temp
thermal_expansion_coeff = 8.1e-06
stress_free_temperature = 295.0
eigenstrain_name = 'al2o3_thermal_eigenstrain'
[]
[al2o3_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_6'
thermal_conductivity = 18.
specific_heat = 880.
[]
[al2o3_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_6'
strain_free_density = 3800.
[]
## clad ##
[clad_elasticity]
type = ComputeIsotropicElasticityTensor
block = 'clad'
youngs_modulus = 7.5e+10
poissons_ratio = 0.3
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temp
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
stress_free_temperature = 295
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
use_coolant_channel = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
min_value = 295
max_value = 3000
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = ' lu superlu_dist 100'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
line_search = 'none'
l_max_its = 200
nl_max_its = 30
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200.
n_startup_steps = 1
end_time = 223062317.
#num_steps = 20000
dtmax = 5.e+05
dtmin = 1.
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.e+02
optimal_iterations = 25
iteration_window = 5
timestep_limiting_function = average_lhr
force_step_every_function_point = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = average_lhr
[]
[fuel_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
[]
[TC_temp]
type = NodalVariableValue
variable = temp
nodeid = 797 # !! Mesh dependent
[]
[TCHoleBot_temp]
type = NodalVariableValue
variable = temp
nodeid = 50
[]
[TC_temp_node1]
type = NodalVariableValue
variable = temp
nodeid = 666
[]
[TC_temp_node2]
type = NodalVariableValue
variable = temp
nodeid = 665
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_3 pellet_type_4'
value_type = max
variable = temp
[]
[midplane_hoop_strain_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = strain_zz
[]
[midplane_hoop_stress_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = stress_zz
[]
[midplane_contact_pressure]
type = ElementalVariableValue
elementid = 189 # !! Mesh dependent
variable = contact_pressure
[]
[midplane_oxide_thickness]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = oxide_thickness
[]
[midplane_clad_outer_temp]
type = NodalVariableValue
nodeid = 1086 # !! Mesh dependent
variable = temp
[]
[midplane_clad_inner_temp]
type = NodalVariableValue
nodeid = 1088 # !! Mesh dependent
variable = temp
[]
[max_clad_outer_temp]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
[]
[max_fuel_outer_temp]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
[]
[midplane_coolant_htc]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = coolant_htc
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_3 pellet_type_4'
temperature = temp
[]
[VectorPostprocessors]
[Concentrations]
type = RadialProfileSampler
variable = 'disp_x'
sort_by = 'id'
burnup_function = burnup
quantity = 'N155 N157 N235 N236 N238 N239 N240 N241 N242 RPF fission_rate ntot_hm burnup'
height = 0.2
execute_on = timestep_end
outputs = 'Concentrations'
[]
[True]
type = RadialProfile
quantity = 'N235 N236 N238 N239 N240 N241 N242 N155 N157'
height = 0.2
burnup_function = burnup
outputs = 'True'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
exodus = true
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 5
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage max_fuel_temp'
execute_on = 'FINAL'
[]
[Concentrations]
type = CSV
file_base = 'Concentrations/'
[]
[True]
type = CSV
file_base = 'True/'
[]
[]
(assessment/LWR/validation/IFA_681/analysis/rod2/IFA_681_rod2.i)
# Halden test IFA-681, rod 2
initial_fuel_density = 10533
[GlobalParams]
density = ${initial_fuel_density}. # 96.1% 10960
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 5
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = 'mesh_ifa681r2_093_quad4.e'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[average_lhr]
type = PiecewiseLinear
data_file = 'alhr_history_ifa681r2.csv'
scale_factor = 1.e+03
format = columns
[]
[axial_scaling_lhr]
type = PiecewiseBilinear
data_file = 'peakfact_lhr_ifa681r2.csv'
axis = 1
[]
[coolant_inlet_temp]
type = PiecewiseLinear
data_file = 'coolant_inlet_temp_ifa681r2.csv'
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = 'fast_nflux_ifa681r2.csv'
scale_factor = 1.e+17
format = columns
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200. 0.'
y = ' 0. 1.'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
initial_condition = 5.69e-06
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_3 pellet_type_4'
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 'clad'
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = 'clad'
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_3 pellet_type_4'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel_pellets]
add_variables = false
block = 'pellet_type_3 pellet_type_4'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz'
eigenstrain_names = 'fuel_volumetric_swelling_eigenstrain fuel_thermal_eigenstrain fuel_relocation_eigenstrain'
extra_vector_tags = 'ref'
[]
[clad]
add_variables = false
block = 'clad'
strain = FINITE
generate_output = 'hydrostatic_stress stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_xx creep_strain_zz'
eigenstrain_names = 'clad_irradiation_growth_eigenstrain clad_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[uo2nat]
add_variables = false
block = 'pellet_type_2 pellet_type_5'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'uo2nat_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[al2o3]
add_variables = false
block = 'pellet_type_1 pellet_type_6'
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
eigenstrain_names = 'al2o3_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_]
type = NeutronHeatSource
variable = temp
block = 'pellet_type_3 pellet_type_4'
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_3 pellet_type_4'
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
num_radial = 40
bias = 0.95
num_axial = 20
a_lower = 120.3e-03
a_upper = 520.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.095e-03
fuel_volume_ratio = 1.
isotopes = 'Gd155 Gd157 U235 U238'
isotope_fractions = '0.01 0.01 0.0313 0.94861'
N155 = N155
N157 = N157
N235 = N235
N236 = N236
N238 = N238
N239 = N239
N240 = N240
N241 = N241
N242 = N242
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.0e+7
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
thermal_accommodation_model = TOPTAN
gas_thermal_conductivity_model = ADVANCED
kennard_coefficient = 0.2173
jump_distance_model = TOPTAN
roughness_primary = 1.0e-6
roughness_secondary = 2.0e-6
gap_conductance_model = TOPTAN
quadrature = true
normal_smoothing_distance = 0.1
[]
[pellet_to_pellet1]
type = GapHeatTransfer
variable = temp
primary = 21
secondary = 22
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet2]
type = GapHeatTransfer
variable = temp
primary = 23
secondary = 24
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet3]
type = GapHeatTransfer
variable = temp
primary = 25
secondary = 26
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet4]
type = GapHeatTransfer
variable = temp
primary = 27
secondary = 28
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[pellet_to_pellet5]
type = GapHeatTransfer
variable = temp
primary = 29
secondary = 30
gap_geometry_type = PLATE
gap_conductivity = 0.15
quadrature = true
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[CoolantChannel]
# Halden HBWR under natural circulation (v=0.4m/s)
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = coolant_inlet_temp
inlet_pressure = 3.5e+06 # Pa
inlet_massflux = 360. # kg/m^2-s
flow_area = 0.000195
heated_diameter = 0.0261
heated_perimeter = 0.0298
hydraulic_diameter = 0.0261
htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
compute_enthalpy = true
linear_heat_rate = average_lhr
axial_power_profile = axial_scaling_lhr
oxide_thickness = oxide_thickness
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 3.5e+06
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 1.e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
## fuel ##
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_3 pellet_type_4'
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_3 pellet_type_4'
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_3 pellet_type_4'
temperature = temp
thermal_expansion_coeff = 10.0e-06
stress_free_temperature = 295.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
burnup_function = burnup
temperature = temp
gas_swelling_model_type = SIFGRS
block = 'pellet_type_3 pellet_type_4'
initial_fuel_density = 10533. # 96.1% 10960
initial_porosity = 0.039
total_densification = 0.0
eigenstrain_name = 'fuel_volumetric_swelling_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_3 pellet_type_4'
burnup_function = burnup
diameter = 8.19e-03
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
diametral_gap =170.e-06
burnup_relocation_stop = 1e20
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[fission_gas_release_and_swelling]
type = UO2Sifgrs
block = 'pellet_type_3 pellet_type_4'
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.039
diff_coeff_option = TURNBULL_D1_D2
transient_option = NO_TRANSIENT
rod_ave_lin_pow = average_lhr
axial_power_profile = axial_scaling_lhr
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_3 pellet_type_4'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = TOPTAN
Gd_content = 0.02
initial_porosity = 0.039
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_3 pellet_type_4'
strain_free_density = ${initial_fuel_density}
[]
## uo2nat ##
[uo2nat_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_2 pellet_type_5'
youngs_modulus = 2.0e+11
poissons_ratio = 0.345
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_2 pellet_type_5'
[]
[uo2nat_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_2 pellet_type_5'
temperature = temp
thermal_expansion_coeff = 10.e-06
stress_free_temperature = 295.0
eigenstrain_name = 'uo2nat_thermal_eigenstrain'
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_2 pellet_type_5'
thermal_conductivity = 3.
specific_heat = 300.
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_2 pellet_type_5'
strain_free_density = ${initial_fuel_density}
[]
## al2o3 ##
[al2o3_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1 pellet_type_6'
youngs_modulus = 3.0e+11
poissons_ratio = 0.21
[]
[al2o3_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_6'
[]
[al2o3_thermal_eigenstrain]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_6'
temperature = temp
thermal_expansion_coeff = 8.1e-06
stress_free_temperature = 295.0
eigenstrain_name = 'al2o3_thermal_eigenstrain'
[]
[al2o3_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_6'
thermal_conductivity = 18.
specific_heat = 880.
[]
[al2o3_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_6'
strain_free_density = 3800.
[]
## clad ##
[clad_elasticity]
type = ZryElasticityTensor
block = 'clad'
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep'
[]
[clad_creep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
temperature = temp
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
stress_free_temperature = 295
temperature = temp
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irradiation_growth_eigenstrain]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = 'clad_irradiation_growth_eigenstrain'
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
use_coolant_channel = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temp
min_value = 295
max_value = 3000
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = ' lu superlu_dist 100'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
line_search = 'none'
l_max_its = 200
nl_max_its = 30
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -100.0
n_startup_steps = 1
end_time = 223062317
dtmax = 1.0e+06
dtmin = 0.01
[TimeStepper]
type = IterationAdaptiveDT
dt = 1.0e+02
optimal_iterations = 25
iteration_window = 5
timestep_limiting_function = average_lhr
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = average_lhr
[]
[gas_volume]
type = InternalVolume
boundary = 9
[]
[fuel_volume]
type = InternalVolume
boundary = 8
outputs = exodus
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_3 pellet_type_4'
[]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
[]
[TCHoleBot_temp]
type = NodalVariableValue
variable = temp
nodeid = 63 # !! Mesh dependent
[]
[TC_temp_node1]
type = NodalVariableValue
variable = temp
nodeid = 813
[]
[TC_temp_node2]
type = NodalVariableValue
variable = temp
nodeid = 805
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_3 pellet_type_4'
value_type = max
variable = temp
[]
[midplane_hoop_strain_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = strain_zz
[]
[midplane_hoop_stress_outer]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = stress_zz
[]
[midplane_contact_pressure]
type = ElementalVariableValue
elementid = 189 # !! Mesh dependent
variable = contact_pressure
[]
[midplane_oxide_thickness]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = oxide_thickness
[]
[midplane_clad_outer_temp]
type = NodalVariableValue
nodeid = 1086 # !! Mesh dependent
variable = temp
[]
[midplane_clad_inner_temp]
type = NodalVariableValue
nodeid = 1088 # !! Mesh dependent
variable = temp
[]
[max_clad_outer_temp]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
[]
[max_fuel_outer_temp]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
[]
[midplane_coolant_htc]
type = ElementalVariableValue
elementid = 892 # !! Mesh dependent
variable = coolant_htc
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_3 pellet_type_4'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
exodus = true
perf_graph = true
[console]
type = Console
max_rows = 5
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage max_fuel_temp'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '4.e+06 4.e+06' # 40 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_04MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '4.e+06 4.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_04MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
initial_fuel_density = 10430.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_9_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.262416
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseBilinear
data_file = average_coolant_htc.csv
axis = 1
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 200412461 200413048'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain
fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hoop_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_zz creep_strain_zz hoop_stress'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[rel]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 2.73291E-06 # Addition of the volume to bring the starting total volume to 19cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
gap_thickness_threshold = 0.00039
axial_relocation_output_options = 'MASS_FRACTION'
mesh_generator = layered1D_mesh
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 199159200
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 199159200
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 1.9e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 200412431
end_time = 200413048
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10430.0
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
# axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 1e-3
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
# end_time = 199159200 # End base irradiation
# end_time = 200412431 # Begin Blowdown
end_time = 200413048 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '199159200 200312431 200411431 200412431 200412461 200413048'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
execute_on = 'initial timestep_end'
perf_graph = true
[outfile_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.2e+07 1.2e+07' # 120 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_12MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/IFA_677/analysis/IFA_677_Base.i)
# This is a partial input file that contains characteristics common to the entire assessment case
# NOTE: This file is not meant to be run on its own as it requires information contained in the .params files
# Fuel material properties
total_densification = 0.09e-2 # (-)
oxygen_to_metal_ratio = 2.002 # (-)
# Cladding material properties
cladding_density = 6550.0 # kg/m^3
# Cladding geometry
clad_inner_radius = 4.65e-3 # m
clad_outer_radius = 5.375e-3 # m
# Rod geometry
a_lower = 0.001025 # m
fuel_inner_radius = 0.0 # m
fuel_outer_radius = 0.4565e-02 # m
fuel_volume_ratio = 0.9940 # (-)
fuel_diameter = 9.13e-3 # m
diametral_gap = 170.e-6 # m
# Neutronics, power, and isotope fractions
energy_per_fission = 3.28451e-11 # J/fission
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Temperature conditions
initial_temperature = 293.0 # K
stress_free_temperature = 293.0 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-200 0'
pressure_ramp_y = '0.0298 1'
pressure_ramp_factor = 3.4e6 # (-)
# Coolant Channel parameters
inlet_pressure = 3.4e+06 # Pa
inlet_massflux = 450. # kg/m^2-s
rod_diameter = 10.75e-03 # m
rod_pitch = 46.e-03 # m
htc_correlation_type = 2
# Contact
contact_penalty = 1e14 # (-)
roughness_primary = 5.0e-6
roughness_secondary = 0.32e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1 # m
# Relocation
relocation_activation1 = 5000 # W/m
# Plenum parameters
initial_plenum_pressure = 1.35e6 # Pa
startup_time = 0 # s
# Physical constants
gravitational_acceleration_constant = -9.81 # m/s^2
ideal_gas_constant = 8.3143 # J/mol-K
# Numerical options
l_max_its = 50
l_tol = 8e-3
nl_max_its = 20
nl_rel_tol = 1e-4
start_time = -200 # s
n_startup_steps = 1
dtmax = 5e5 # s
dtmin = 0.1 # s
TimeStepper_dt = 2e2 # s
TimeStepper_max_function_change = 1e20
# Postprocessor parameters
burnup_scaling_factor = 950.0 # (-)
time_days_scale_factor = 1.157407407e-5 # (-)
midplane_oxide_thickness_elementid = 629
outer_midplane_clad_temperature_nodeid = 763
fuel_central_temperature_nodeid = 337
clad_elongation_nodeid = 826
fuel_elongation_nodeid = 504
upper_TC_temperature_nodeid = 633
lower_TC_temperature_nodeid = 31
[GlobalParams]
displacements = 'disp_x disp_y'
temperature = temperature
order = FIRST
family = LAGRANGE
density = ${initial_fuel_density}
initial_porosity = ${initial_fuel_porosity}
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
initial_condition = ${initial_grain_radius}
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
scale_factor = 1e3
format = columns
[]
[corrected_power_history]
type = ParsedFunction
symbol_names = 'rod_average_burnup power_history'
symbol_values = 'burnup_MWdkgU power_history'
expression = 'if(rod_average_burnup < 14.5, power_history, 0.98 * power_history)'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
scale_factor = 1
axis = 1
[]
[power_correction]
type = PiecewiseBilinear
data_file = ${power_correction_data_file}
scale_factor = 1
axis = 1
[]
[corrected_axial_peaking_factors]
type = CompositeFunction
functions = 'axial_peaking_factors power_correction'
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[coolant_inlet_temperature]
type = PiecewiseLinear
data_file = ${coolant_inlet_temperature_data_file}
scale_factor = 1
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = ${fast_neutron_flux_data_file}
scale_factor = 1e4
format = columns
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[pellets]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_eigenstrain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = ${gravitational_acceleration_constant}
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = corrected_power_history
axial_power_profile = corrected_axial_peaking_factors
num_radial = 80
num_axial = 11
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = 1
property = effective_creep_strain
variable = effective_creep_strain
execute_on = 'timestep_end'
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
model = frictionless
normalize_penalty = true
penalty = ${contact_penalty}
normal_smoothing_distance = ${normal_smoothing_distance}
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
contact_pressure = contact_pressure
quadrature = true
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '20'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = ${pressure_ramp_factor}
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = '9'
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = gas_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = coolant_inlet_temperature
inlet_pressure = ${inlet_pressure}
inlet_massflux = ${inlet_massflux}
rod_diameter = ${rod_diameter}
rod_pitch = ${rod_pitch}
htc_correlation_type = ${htc_correlation_type}
compute_enthalpy = true
linear_heat_rate = corrected_power_history
axial_power_profile = corrected_axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
thermal_conductivity_model = HALDEN #NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
total_densification = ${total_densification}
initial_fuel_density = ${initial_fuel_density}
gas_swelling_model_type = SIFGRS
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
relocation_model = ESCORE_modified
burnup_function = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = corrected_power_history
axial_power_profile = corrected_axial_peaking_factors
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = corrected_power_history
fragmentation_model = BARANI
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'fuel_creep'
tangent_operator = elastic
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_creep]
type = UO2CreepUpdate
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = ${initial_grain_radius}
oxygen_to_metal_ratio = ${oxygen_to_metal_ratio}
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = clad
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_primary_creep = true
model_thermal_creep = true
model_irradiation_creep = true
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${cladding_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
ig_bubble_model = NUCLEATION_RESOLUTION
diff_coeff_option = TURNBULL_D1_4D2_4D3
doping_type = CR2O3_DOPED
cr_doped_option = BEST_ESTIMATE_1773
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = MaxIncrement
max_increment = 20
variable = temperature
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
n_startup_steps = ${n_startup_steps}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
timestep_limiting_function = power_history
max_function_change = ${TimeStepper_max_function_change}
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = corrected_power_history
execute_on = 'initial timestep_end'
[]
[temperature_fuel_max]
type = NodalExtremeValue
variable = temperature
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
execute_on = 'initial timestep_end'
[]
[burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[burnup_MWdkgU]
type = ScalePostprocessor
value = burnup
scaling_factor = ${burnup_scaling_factor}
[]
[time_days]
type = FunctionValuePostprocessor
function = t
scale_factor = ${time_days_scale_factor}
[]
[temperature_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = ${midplane_oxide_thickness_elementid}
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[temperature_clad_outer_midplane]
type = NodalVariableValue
nodeid = ${outer_midplane_clad_temperature_nodeid}
variable = temperature
execute_on = 'initial timestep_end'
[]
[temperature_fuel_central]
type = NodalVariableValue
variable = temperature
nodeid = ${fuel_central_temperature_nodeid}
execute_on = 'initial timestep_end'
[]
[gas_volume]
type = InternalVolume
boundary = '9'
execute_on = 'initial linear'
[]
[fission_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
execute_on = linear
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
execute_on = linear
[]
[fgr_percent]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_produced
execute_on = linear
[]
[clad_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${clad_elongation_nodeid}
[]
[fuel_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${fuel_elongation_nodeid}
[]
[upper_TC_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${upper_TC_temperature_nodeid}
[]
[lower_TC_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${lower_TC_temperature_nodeid}
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 15
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'lower_TC_temperature upper_TC_temperature fgr_percent plenum_pressure strain_clad_hoop_max'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '14.e+06 14.e+06' # 140 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_14MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM071/BFM071.i)
################################################################################
#
# Description: Calvert Cliffs BFM071
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM071_power.csv
# axial peaking factor file BFM071_axial_peaking.csv
# flux boundary condition file BFM071_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.31727
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM071_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM071_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 178956096 178956456'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 178956096 178956456'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM071_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 178956456
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_aniso.i)
# Simulation ORNL burst tests Zr2_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 400. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_1_aniso_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_ad.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = clad_outside_right
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = clad_outside_right
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = clad_outside_right
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = ADFunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.0
inlet_pressure = 101325
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 0.01118
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
thermal_conductivity = reg_thermal_conductivity
[]
[]
[Materials]
[fuel_thermal]
type = ADHeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_converter]
type = MaterialADConverter
block = pellet
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ADComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_converter]
type = MaterialADConverter
block = clad
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
block = clad
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = clad_outside_right
temperature = temperature
clad_inner_radius = 4.88e-3 #checked
clad_outer_radius = 5.59e-3 #checked
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[oxide_thickness]
type = ElementAverageValue
block = clad
variable = scale_thickness
execute_on = TIMESTEP_END
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part2_gas_communication_checkpoint2_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
# initial_moles = initial_moles
# gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
#axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
#hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'gap_layer_pressure_max < 101325.01'
execute_on = 'TIMESTEP_END'
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
equilibrium_pressure = 7.5e5
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dt = .1
end_time = 172489651 # End
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_3'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_3'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
[exodus3]
type = Exodus
file_base = IFA_650_4_gas_part3_out
execute_on = 'initial timestep_end'
[]
[checkpoint3]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_3]
type = CSV
#execute_on = 'FINAL'
#create_final_symlink = true
file_base = 'clad3/new'
[]
[outfile_temp_3]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_3]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/UFE019/UFE019.i)
################################################################################
#
# Description: Calvert Cliffs UFE019
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file UFE019_power.csv
# axial peaking factor file UFE019_axial_peaking.csv
# flux boundary condition file UFE019_fast_flux.csv
#
################################################################################
initial_fuel_density = 10396.59
[GlobalParams]
density = ${initial_fuel_density} #94.75 %TD Assume TD = 10972.65 kg/m3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.29773
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
block = '1 3'
[]
[disp_y]
block = '1 3'
[]
[temp]
initial_condition = 293
block = '1 3'
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
block = '1 3'
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = UFE019_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = UFE019_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 140582036 140582396'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 140582036 140582396'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = UFE019_fast_flux.csv
format = columns
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0398 .9602 0 0 0 0'
RPF = RPF
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = 5
secondary_boundary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
contact_pressure = mechanical_normal_lm
layer_thickness = layer_thickness_action
thermal_lm_scaling = 1.0e-2
correct_edge_dropping = true
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+14
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
correct_edge_dropping = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap = 190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
petsc_options_value = 'lu superlu_dist NONZERO 1e-15 1e-5'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 140582396
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFM070/BFM070.i)
################################################################################
#
# Description: Calvert Cliffs BFM070
#
#
#
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFM070_power.csv
# axial peaking factor file BFM070_axial_peaking.csv
# flux boundary condition file BFM070_fast_flux.csv
################################################################################
initial_fuel_density = 10386.93
[GlobalParams]
density = ${initial_fuel_density} #94.662 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.32168
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 3.85e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFM070_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFM070_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 179225682 179226042'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 179225682 179226042'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFM070_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10386.93
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 179226042
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
print_linear_residuals = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+06 1.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_01MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part1_gas_communication_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
# initial_moles = initial_moles
# gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 172489043
end_time = 172489661
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
#axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
#hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 3.0 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
exodus = true
[exodus2]
type = Exodus
file_base = IFA_650_4_gas_part2_out
execute_on = 'initial timestep_end'
[]
[checkpoint2]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_2]
type = CSV
#execute_on = 'FINAL'
#create_final_symlink = true
file_base = 'clad2/new'
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2_1p5d_fr_ffrd.i)
initial_fuel_density = 10431.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.05
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
restart_file_base = 'Studsvik_196_part1_1p5d_fr_ffrd_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 10
clad_gap_width = 80e-6
plenum_height = 0.0393576
pellet_outer_radius = 3.92e-3
clad_thickness = 0.57e-3
fuel_height = 0.2606424
# nx_c = 2
# nx_p = 11
elem_type = EDGE3
[]
patch_update_strategy = auto
patch_size = 10 # For contact algorithm
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
# Define auxilary variables
[strain_yy_0]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[creep_strain_rate]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxygen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[tangential_contact_pressure_aux]
block = fuel
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '-200 0 86400 47386400 47472800 47559200 47645600 94945600 95032000'
y = '0.0065371 1 1 1 1 1 1 1 0.0065371'
scale_factor = 15.5e6
[]
[clad_surface_temperature]
type = PiecewiseBilinear
axis = 1
data_file = clad_temperature.csv
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
block = fuel
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'fuel_thermal_eigenstrain fuel_volumetric_eigenstrain axial_relocation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = fuel_axial_pressure
layer_friction_user_object = 1DFriction_secondary
[]
[clad]
block = clad
add_variables = true
add_scalar_variables = true
strain = FINITE
out_of_plane_strain_name = strain_yy
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_xx hoop_stress creep_strain_zz strain_zz'
extra_vector_tags = 'ref'
fuel_pin_geometry = fuel_pin_geometry
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
decomposition_method = EigenSolution
temperature = temperature
out_of_plane_pressure_function = clad_axial_pressure
layer_friction_user_object = 1DFriction_primary
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
extra_vector_tags = 'ref'
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history # using the power function defined above
axial_power_profile = axial_peaking_factors # using the axial power profile function defined above
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0 # for use with dished pellets (ratio of actual volume to cylinder volume)
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.05 0.95 0 0 0 0'
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[tangential_contact_pressure_aux]
type = SpatialUserObjectAux
variable = tangential_contact_pressure_aux
user_object = 1DFriction_secondary
block = fuel
execute_on = 'TIMESTEP_END'
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[creep_strain_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_strain_rate
block = clad
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = 'fission_gas_released he_prod'
released_gas_types = 'Kr Xe;
He'
released_fractions = '0.153 0.847;
1'
quadrature = true
contact_pressure = contact_pressure
refab_gas_types = He
refab_fractions = 1
refab_time = 95032000
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '2'
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 3.44738e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = 'fission_gas_released he_prod'
output = plenum_pressure
refab_time = 95032000
refab_pressure = 8.2e6
refab_temperature = 295.0
refab_volume = 1.04e-05
cladding_failure_status = burst
equilibrium_pressure = equilibrium_pressure
additional_volumes = additional_volume
temperature_of_additional_volumes = addition_temperature
[]
[]
[clad_temp]
type = FunctionDirichletBC
function = clad_surface_temperature
variable = temperature
boundary = 2
[]
[]
[UserObjects]
[layered_average_hoop_strain]
type = LayeredAverage
block = clad
num_layers = 10
direction = y
variable = strain_zz
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[1DContactStressOOP_fuel]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = fuel
execute_on = 'LINEAR NONLINEAR'
[]
[1DContactStressOOP_cladding]
type = Layered1DContactInterfaceStress
direction = y
stress_name = stress
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
block = clad
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_secondary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = pellet_outer_radial_surface
num_layers = 10
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = true
tangential_pressure = tangential_contact_pressure_aux
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.01306
direction_max = 0.24761028
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[1DFriction_primary]
type = Layered1DFrictionalForce
force_postaux = true
contact_pressure = contact_pressure
direction = y
boundary = clad_inside_right
num_layers = 10
# If we do not provide the numbers below, it will look at the mesh, in all blocks to set the layer number. Then, it will
# be wrong because the cladding has more height and won't be able to identify layers in the fuel.
direction_min = 0.0165094
direction_max = 0.24761028
interface_oop_stress_provider_fuel = 1DContactStressOOP_fuel
interface_oop_stress_provider_cladding = 1DContactStressOOP_cladding
is_secondary_side = false
secondary_side_frictional_user_object = 1DFriction_secondary
friction_coefficient = 0.2
thickness = 0.02606424
penalty_factor = 1.0e13
scalar_var_name_base_fuel = scalar_strain_yy_fuel
scalar_num_variable_fuel = 10
scalar_var_name_base_cladding = scalar_strain_yy_clad
scalar_num_variable_cladding = 10
execute_on = 'LINEAR NONLINEAR'
[]
[terminator]
type = Terminator
expression = 'max_axial_relocation_strain > 0.25'
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
inlet_temperature = 580
inlet_pressure = 15.5e6 # Pa
inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.00914 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Materials]
[fuel_dispersal]
type = UO2Dispersal
block = fuel
axial_relocation_object = axial_relocation
layered_average_burnup = layered_average_burnup
layered_average_hoop_strain = layered_average_hoop_strain
dispersal_model = ONE_MM_TWO_PERCENT_STRAIN
[]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
block = fuel
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
rod_ave_lin_pow = power_history
temperature = temperature
axial_relocation_object = axial_relocation
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
temperature = temperature
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_eigenstrain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temperature
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temperature
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = zirlo
eigenstrain_name = clad_irradiation_eigenstrain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[]
[VectorPostprocessors]
[cladding_outer]
type = NodalValueSampler
boundary = 5
variable = disp_x
sort_by = y
[]
[]
[AxialRelocation]
[relocation]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy_0
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
mesh_generator = layered1D_mesh
# CHANGE
gap_thickness_threshold = 0.000050
[]
[]
[Postprocessors]
[volume_fuel_dispersed]
type = LayeredElementIntegralMaterialProperty
block = fuel
mat_prop = dispersed
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial timestep_end'
[]
[mass_fuel_dispersed]
type = ParsedPostprocessor
pp_names = volume_fuel_dispersed
expression = '10431 * volume_fuel_dispersed'
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
n_startup_steps = 1
end_time = 95033429.6
dtmax = 20
dtmin = 1e-6
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
timestep_limiting_function = forced_times
force_step_every_function_point = true
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
#outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_produced] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
execute_on = 'linear'
[]
[fission_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[fission_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = fuel
outputs = exodus
execute_on = 'linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = fuel
[]
[max_fuel_temp]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[max_clad_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_axial_relocation_strain]
type = ElementExtremeValue
value_type = max
variable = axial_relocation_strain
block = fuel
execute_on = 'initial timestep_end'
[]
[he_prod]
type = IFBAHeProduction
b10_load = 9.27165354e-5
b10_enrich = 0.5
burnup = average_burnup
zrb2_thick = 10e-6
fuel_out_rad = 9.32e-3
ifba_len = 0.3
u235_enrich = 0.05
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[volume_pulverized]
type = ElementIntegralMaterialProperty
mat_prop = pulverized
block = fuel
[]
[max_fuel_temp_periphery]
type = NodalExtremeValue
value_type = max
variable = temperature
boundary = 10
[]
[additional_volume]
type = FunctionValuePostprocessor
function = 8.5e-6
execute_on = 'initial linear'
[]
[addition_temperature]
type = FunctionValuePostprocessor
function = 300.0
execute_on = 'initial linear'
[]
[equilibrium_pressure]
type = FunctionValuePostprocessor
function = 101325.0
execute_on = 'initial linear'
[]
[]
[PerformanceMetricOutputs]
[]
[StandardLWRFuelRodOutputs]
temperature = temperature
layered = true
fuel_pellet_blocks = 'fuel'
fuel_pin_geometry = fuel_pin_geometry
[]
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[chkfile]
type = CSV
execute_on = FINAL
show = 'volume_pulverized'
[]
[]
(test/tests/zry_oxidation_cladding/corrosion_epri_sli.i)
################################################################################
#
# This case is prepared for testing PWR cladding waterside corrosion using
# EPRI/SLI model
#
# The test case is a plate with an axial length of 0.01 meter and
# a thickness of 0.05cm; cladding OD temperature is 650 K;
# heat flux at cladding OD is 600000 W/m^2; EOL time = 100 days.
#
# Mesh:
# Number of elements in radial direction = 5
# Number of elements in axial direction = 1
#
# Spreadsheet calc. results:
# transition time 25 day
# EOL oxide thickness 6.07 micron
#
# BISON results:
# transition time 25 days
# EOL oxide thickness 6.097 micron
#
# Created by W. Liu
#--------------------------------------------------------------------------------
[Mesh]
[mesh]
type = FileMeshGenerator
file = clad_rz_short_rev4.e
[]
[]
[AuxVariables]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300 # K, initial temperature
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
boundary = 3
factor = 1e18
execute_on = 'initial timestep_begin'
[]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 3
execute_on = timestep_end
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 3
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 3
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = 3
execute_on = 'initial linear'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[BCs]
[clad_inner_surface]
type = NeumannBC
boundary = 1
value = 600000 # cladding inner surface heat flux (W/m^2)
variable = temp
[]
[clad_outer_surface]
type = DirichletBC
boundary = 3
value = 650 # K
variable = temp
preset = false
[]
[top_clad]
type = NeumannBC
boundary = 2
value = 0
variable = temp
[]
[bottom_clad]
type = NeumannBC
boundary = 4
value = 0
variable = temp
[]
[]
[Materials]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0 # W/m-K
specific_heat = 330.0 # J/kg-K
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 6551.0 # kg/m^3
[]
[oxidation_zry]
type = ZryOxidation
boundary = 3
clad_inner_radius = 0.0
clad_outer_radius = 0.0
normal_operating_temperature_model = epri_sli
high_temperature_model = leistikow
temperature = temp
use_coolant_channel = false
fast_neutron_flux = fast_neutron_flux
lithium_concentration = 2.5 # ppm
tin_content = 1.3 # wt%
# outputs = all
# output_properties = 'scale_thickness'
[]
[]
[Executioner]
type = Transient
# PETSC options
solve_type = 'PJFNK'
# controls for linear iterations
l_max_its = 200
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
# time control
start_time = 0.0
dt = 86400
end_time = 864000
[]
# Define postprocessors
[Postprocessors]
[clad_inner_surface_flux] # area integrated heat flux at clad inner surface
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 1
diffusivity = thermal_conductivity
[]
[clad_outer_surface_flux] # area integrated heat flux at clad outer surface
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[oxide_thickness] #
type = ElementalVariableValue
variable = oxide_thickness
elementid = 4
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 4
variable = oxyconc2_scale
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 4
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = ElementalVariableValue
elementid = 4
variable = oxywtfract_metal
execute_on = 'initial timestep_end'
[]
[]
# Define output file(s)
[Outputs]
exodus = true
file_base = corrosion_epri_sli_out
[]
(assessment/LWR/validation/Super_Ramp/analysis/PK62/PK62_weighted_gap_VCP.i)
# This assessment case requires increasing the default automatic differentiation
# vector (AD size). At the time of writing, the default size is 50. This test
# requires, at least, 56. The minimum size required for a test to run can be
# specified in the 'assesment' file via "min_ad_size". To configure MOOSE
# to increase the AD vector size, one can use the command below in the MOOSE
# folder to expand this size, e.g., to 200:
#
# ./configure --with-derivative-type=sparse --with-ad-indexing-type=global --with-derivative-size=200
# physical constants
R = 8.3143 # J/mol*K -- THIS SHOULD BE EDITED TO USE PHYSICALCONSTANTS' VALUE
# fuel isotope fractions and fission energy
energy_per_fission = 3.28451e-11 # J/fission
isotope_fraction_U235 = 0.02985
isotope_fraction_U238 = 0.97015
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# rod geometry
pellet_quantity = 29 # (-)
pellet_height = 0.010862 # m
pellet_outer_radius = 4.57e-3 # m
clad_gap_width = 75.0e-6 # m
clad_thickness = 0.725e-3 # m
clad_bot_gap_height = 1.0e-3 # m
bottom_clad_height = 15.5e-3 # m
top_clad_height = 15.5e-3 # m
clad_top_gap_height = 32.5e-3 # m
fuel_volume_ratio = 1.0 # (-)
rod_input_power_scale_factor = 0.376004 # m (rod height)
# variable and kernel initial values
initial_temperature = 293.15 # K
gravity_constant = -9.81 # m/s^2
# fuel/cladding contact
c_normal = 1e+05 # (-)
jump_distance_model = 'LANNING'
roughness_primary = 2e-6 # (-)
roughness_secondary = 1e-6 # (-)
roughness_coef = 3.2 # (-)
relocation_activation1 = 5000 # W/m
max_relocation_recovery_fraction = 0.5 # (-)
relocation_scaling_factor = 1 # (-)
# plenum parameters
initial_plenum_pressure = 2.25e6 # Pa
startup_time = 0 # s
# fuel/clad material properties
initial_fuel_density = 10420.0 # kg/m^3
initial_fuel_porosity = 0.049 # (-)
initial_grain_radius = 17.16e-6 # m
fuel_cracking_stress = 1.68e8 # Pa
fuel_shear_retention_factor = 0.1 # (-)
fuel_max_stress_correction = 0 # (-)
stress_free_temperature = 293.15 # K
cladding_density = 6550.0 # kg/m^3
# numerical options
damper_max_temperature_increment = 150.0 # K (was 30 K)
l_max_its = 35
l_tol = 1e-5
nl_max_its = 30
nl_rel_tol = 2e-6
nl_abs_tol = 1e-5
start_time = 0.0 # s
n_startup_steps = 1
dtmax = 1.0e6 # s
dtmin = 1.0 # s
Timestepper_dt = 100 # s
Timestepper_optimal_iterations = 15
Timestepper_iteration_window = 3
# irradiation history
end_time = 76630068.0 # s
# data files
power_history_data_file = 'alhr_history.csv'
axial_power_factors_data_file = 'axial_lhr_factors.csv'
clad_out_temp_data_file = 'temp_outer_clad_history.csv'
axial_temp_factors_data_file = 'axial_temp_factors.csv'
coolant_pressure_data_file = 'pressure_coolant.csv'
fast_neutron_flux_data_file = 'fast_neutron_flux.csv'
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
volumetric_locking_correction = true
initial_porosity = ${initial_fuel_porosity}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 80
patch_update_strategy = iteration
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = ${pellet_quantity}
pellet_height = ${pellet_height}
pellet_outer_radius = ${pellet_outer_radius}
pellet_mesh_density = customize
nx_p = 11
ny_p = 168
clad_mesh_density = customize
nx_c = 4
ny_c = 84
clad_gap_width = ${clad_gap_width}
clad_thickness = ${clad_thickness}
clad_bot_gap_height = ${clad_bot_gap_height}
bottom_clad_height = ${bottom_clad_height}
top_clad_height = ${top_clad_height}
clad_top_gap_height = ${clad_top_gap_height}
ny_cu = 3
ny_cl = 3
elem_type = QUAD4
[]
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
block = '1 3'
[]
[disp_x]
order = FIRST
family = LAGRANGE
block = '1 3'
scaling = 1.0e3
[]
[disp_y]
order = FIRST
family = LAGRANGE
block = '1 3'
scaling = 1.0e3
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
format = columns
[]
[axial_power_factors]
type = PiecewiseBilinear
data_file = ${axial_power_factors_data_file}
axis = 1
[]
[clad_out_temp]
type = PiecewiseLinear
data_file = ${clad_out_temp_data_file}
format = columns
[]
[axial_temp_factors]
type = PiecewiseBilinear
data_file = ${axial_temp_factors_data_file}
axis = 1
[]
[clad_temp_bc]
type = CompositeFunction
functions = 'clad_out_temp axial_temp_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = ${coolant_pressure_data_file}
format = columns
[]
[fast_flux]
type = PiecewiseLinear
data_file = ${fast_neutron_flux_data_file}
format = columns
[]
[axial_power_constant]
type = ConstantFunction
value = 1
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = ${initial_grain_radius}
[]
[porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
initial_condition = ${initial_fuel_porosity}
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[gas_gen_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_grn_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_bdr_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gas_rel_3]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prs_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[prseq_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[eff_diff_coeff]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gaseous_porosity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
block = pellet
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
temperature = temperature
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
temperature = temperature
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[gravity]
type = Gravity
variable = disp_y
value = ${gravity_constant}
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = fast_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
block = clad
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[porosity]
type = PorosityAuxUO2
block = pellet
variable = porosity
execute_on = linear
[]
[pelletid]
type = PelletIdAux
block = pellet
variable = pellet_id
fuel_pin_geometry = pin_geometry
number_pellets = ${pellet_quantity}
execute_on = initial
[]
[oxi_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 2
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fggen]
type = MaterialRealAux
variable = gas_gen_3
property = gas_concentration_generated_total
[]
[fggrn]
type = MaterialRealAux
variable = gas_grn_3
property = gas_concentration_intra_total
[]
[fgbdr]
type = MaterialRealAux
variable = gas_bdr_3
property = gas_concentration_GB_bubble_volume
[]
[fgrel]
type = MaterialRealAux
variable = gas_rel_3
property = gas_concentration_release_total
[]
[nbbl2]
type = MaterialRealAux
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[prsbbl]
type = MaterialRealAux
variable = prs_bbl_bdr
property = bubble_GB_pressure
[]
[prseqbbl]
type = MaterialRealAux
variable = prseq_bbl_bdr
property = bubble_GB_pressure_equilibrium
[]
[radbbl]
type = MaterialRealAux
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[frcvrg]
type = MaterialRealAux
variable = GBCoverage
property = GBCoverage
[]
[stcvrg]
type = MaterialRealAux
variable = sat_coverage
property = sat_coverage
[]
[diffc]
type = MaterialRealAux
variable = eff_diff_coeff
property = eff_diff_coeff
[]
[dvv0bd]
type = MaterialRealAux
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[gaspor]
type = MaterialRealAux
variable = gaseous_porosity
property = gaseous_porosity
[]
[fuel_conductivity]
type = MaterialRealAux
variable = thermal_conductivity
property = thermal_conductivity
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = pellet
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = pellet
execute_on = nonlinear
[]
[]
[Burnup]
[burnup]
block = pellet
fuel_volume_ratio = ${fuel_volume_ratio}
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
num_radial = 80
num_axial = 20
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
fuel_pin_geometry = pin_geometry
[]
[]
[Contact]
[mechanical]
model = frictionless
formulation = mortar
primary = 5
secondary = 10
c_normal = ${c_normal}
[]
[]
[ThermalContactMortar]
[thermal]
secondary_variable = temperature
primary_boundary = 5
secondary_boundary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = ${jump_distance_model}
plenum_pressure = plenum_pressure
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
contact_pressure = mechanical_normal_lm
layer_thickness = layer_thickness_action
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = 5
outer_surfaces = 10
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 1020
value = 0.0
[]
[temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temperature
function = clad_temp_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${R}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temperature
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet
density = ${initial_fuel_density}
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet
temperature = temperature
burnup_function = burnup
initial_grain_radius = ${initial_grain_radius}
[]
[fuel_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = ${fuel_cracking_stress}
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = ${fuel_shear_retention_factor}
max_stress_correction = ${fuel_max_stress_correction}
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[exponential_softening]
type = ExponentialSoftening
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
relocation_activation1 = ${relocation_activation1}
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
model_relocation_recovery = true
max_relocation_recovery_fraction = ${max_relocation_recovery_fraction}
relocation_scaling_factor = ${relocation_scaling_factor}
volumetric_swelling_increment = vol_swell_increment
layered_average_contact_pressure = layered_average_contact_pressure
outputs = all
output_properties = 'relocation_strain recovered_relocation_strain'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
hydrostatic_stress = hydrostatic_stress
diff_coeff_option = TURNBULL_D1_4D2_D3
transient_option = MICROCRACKING_BURNUP
res_param_option = HETEROGENEOUS_WHITE
ig_bubble_model = NUCLEATION_RESOLUTION
ig_diff_algorithm = polypole2
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_power_factors
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
temperature = temperature
matpro_youngs_modulus = true
matpro_poissons_ratio = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temperature
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${cladding_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
fuel_pin_geometry = pin_geometry
[]
[]
#### This is the part where VCP is set up
[Preconditioning]
[vcp]
type = VCP
full = true
# condense out the normal LM from mechanical contact and the LM from thermal contact
lm_variable = 'mechanical_normal_lm thermal_thermal_lm'
primary_variable = 'disp_x temperature'
# we use LU to solve the system after condensation
# AMG and other solver types have shown convergence for simpler mechanical/thermo-mechanical contact problems but has not luck with this one
preconditioner = 'LU'
is_lm_coupling_diagonal = true
adaptive_condensation = true
[]
[]
[Dampers]
[maxincrement]
type = MaxIncrement
max_increment = ${damper_max_temperature_increment}
variable = temperature
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
# IMPORTANT: we should not specify the pc_type below, otherwise the VCP setting will be overriden
petsc_options_iname = ' -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ' 1e-5 NONZERO 1e-15'
snesmf_reuse_base = false
line_search = 'none'
verbose = true
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
n_startup_steps = ${n_startup_steps}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${Timestepper_dt}
optimal_iterations = ${Timestepper_optimal_iterations}
iteration_window = ${Timestepper_iteration_window}
timestep_limiting_function = power_history
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = SideAverageValue
boundary = 10
variable = gap_cond
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[total_rod_integral_power]
type = ElementIntegralPower
variable = temperature
burnup_function = burnup
block = pellet
[]
[total_rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = ${rod_input_power_scale_factor}
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 10
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[contact_dof]
type = ContactDOFSetSize
variable = 'mechanical_normal_lm'
subdomain = 'secondary_lower'
execute_on = 'nonlinear timestep_end'
[]
[nl_its]
type = NumNonlinearIterations
[]
[total_nl_its]
type = CumulativeValuePostprocessor
postprocessor = nl_its
[]
[l_its]
type = NumLinearIterations
[]
[total_l_its]
type = CumulativeValuePostprocessor
postprocessor = l_its
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
[]
[Outputs]
perf_graph = true
csv = true
exodus = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'average_burnup fission_gas_released_percentage'
execute_on = 'FINAL'
[]
[]
[VectorPostprocessors]
[temperature_post]
type = NodalValueSampler
variable = temperature
boundary = '10'
sort_by = y
[]
[contact_post]
type = NodalValueSampler
variable = mechanical_normal_lm
boundary = '10'
sort_by = y
[]
[disp_x]
type = NodalValueSampler
variable = disp_x
boundary = '10'
sort_by = y
[]
[disp_y]
type = NodalValueSampler
variable = disp_y
boundary = '10'
sort_by = y
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[pbz]
type = PelletBrittleZone
block = pellet
pellet_id = pellet_id
temperature = temperature
fuel_pin_geometry = pin_geometry
number_pellets = ${pellet_quantity}
execute_on = 'initial linear'
[]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = mechanical_normal_lm
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 10
[]
[]
(test/tests/xfem/level_set_xfem_oxidation/ls_xfem_zry_oxidation_default.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 8
ny = 4
xmin = 0.0
xmax = 575.0e-6 # A typical zircaloy cladding thickness
ymin = 0.0
ymax = 1200.0e-6 # A representative section of cladding length
elem_type = QUAD4
[]
[]
[XFEM]
qrule = moment_fitting
output_cut_plane = true
[]
[UserObjects]
[level_set_cut_uo]
type = LevelSetCutUserObject
level_set_var = phi
heal_always = true
[]
[]
[Constraints]
[xfem_u_constraint]
type = XFEMSingleVariableConstraint
variable = temp
geometric_cut_userobject = 'level_set_cut_uo'
use_penalty = true
alpha = 1e5
[]
[xfem_phi_constraint]
type = XFEMSingleVariableConstraint
variable = phi
geometric_cut_userobject = 'level_set_cut_uo'
use_penalty = true
alpha = 1e5
[]
[]
[Variables]
[temp]
[]
[phi]
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = FIRST
family = LAGRANGE
initial_condition = 1.0e17
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[ls_vel]
family = MONOMIAL_VEC
[]
[]
[Kernels]
[heat_diff]
type = HeatConduction
variable = temp
[]
[heat_time]
type = HeatConductionTimeDerivative
variable = temp
[]
[phi_advection]
type = LevelSetAdvection
variable = phi
velocity = ls_vel
[]
[phi_time]
type = TimeDerivative
variable = phi
[]
[]
[AuxKernels]
[fnflux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
function = fnflux_func
execute_on = timestep_begin
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
[]
[coupled_phi_vel]
type = VectorMaterialRealVectorValueAux
variable = ls_vel
property = oxide_growth_rate_components
execute_on = timestep_end
[]
[]
[Functions]
[left_temp_func]
type = PiecewiseBilinear
axis = 1
x = '0.0 300.0e-6 600.0e-6 900.0e-6 1200.0e-6'
y = '0.0 100.0'
z = '620.0 619.8 619.5 619.05 618.35
620.0 619.8 619.5 619.05 618.35'
[]
[temp_ic_func]
type = PiecewiseLinear
x = '0.0 300.0e-6 600.0e-6 900.0e-6 1200.0e-6'
y = '620.0 619.8 619.5 619.05 618.35'
[]
[phi_ic_func]
type = ParsedFunction
expression = '(470e-6 - x)'
[]
[fnflux_func]
type = PiecewiseLinear
x = '0. 200.'
y = '1.e+17 1.e+17'
[]
[]
[Materials]
[density_Zry]
type = ParsedMaterial
property_name = Zry_density
expression = 6550.0
[]
[thermal_Zry]
type = ZryThermal
temperature = temp
base_name = Zry
[]
[density_ZrO2]
type = ParsedMaterial
property_name = ZrO2_density
expression = 5680.0
[]
[thermal_ZrO2]
type = ZrO2Thermal
temperature = temp
base_name = ZrO2
[]
[combined_density]
type = XFEMCutSwitchingMaterialReal
geometric_cut_userobject = level_set_cut_uo
cut_subdomain_ids = '0 1'
base_names = 'ZrO2 Zry'
prop_name = density
[]
[combined_thermal_conductivity]
type = XFEMCutSwitchingMaterialReal
geometric_cut_userobject = level_set_cut_uo
cut_subdomain_ids = '0 1'
base_names = 'ZrO2 Zry'
prop_name = thermal_conductivity
[]
[combined_thermal_conductivity_dT]
type = XFEMCutSwitchingMaterialReal
geometric_cut_userobject = level_set_cut_uo
cut_subdomain_ids = '0 1'
base_names = 'ZrO2 Zry'
prop_name = thermal_conductivity_dT
[]
[combined_specific_heat]
type = XFEMCutSwitchingMaterialReal
geometric_cut_userobject = level_set_cut_uo
cut_subdomain_ids = '0 1'
base_names = 'ZrO2 Zry'
prop_name = specific_heat
[]
[oxidation_growth_rate_components]
type = ZryOxidation
temperature = temp
ls_function = phi
fast_neutron_flux = fast_neutron_flux
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
clad_inner_radius = 0
clad_outer_radius = 575.0e-6
[]
[]
[BCs]
[left_temp]
type = FunctionDirichletBC
variable = temp
function = left_temp_func
boundary = 'left'
[]
[right_temp]
type = DirichletBC
variable = temp
value = 580.0
boundary = 'right'
[]
[]
[ICs]
[temp_ic]
type = FunctionIC
variable = temp
function = temp_ic_func
[]
[phi_ic]
type = FunctionIC
variable = phi
function = phi_ic_func
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -bc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_tol = 1.0e-05
nl_abs_tol = 1.0e-06
nl_rel_tol = 1.0e-06
start_time = 0.0
end_time = 50.0
dt = 25.0
max_xfem_update = 2
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[temp]
type = NodalVariableValue
variable = temp
nodeid = 0
execute_on = 'initial timestep_end'
[]
[phi]
type = NodalVariableValue
variable = phi
nodeid = 1
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
time_step_interval = 1
exodus = true
[console]
type = Console
output_linear = true
[]
[]
(assessment/LWR/validation/RIA_CABRI_REP_Na4/analysis/REP_Na_4/RIA/REP_Na_4_RIA.i)
# REP Na 4 RIA
initial_fuel_density = 10476.35
[GlobalParams]
density = ${initial_fuel_density} # assumed TD = 10970
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
coord_type = RZ
type = AugmentedLagrangianContactProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
maximum_lagrangian_update_iterations = 200
acceptable_iterations = 30
acceptable_multiplier = 10
[]
[Mesh]
patch_size = 40
#patch_update_strategy = auto
#partitioner = centroid
#centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = REP_Na4.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_inner_wall = 5
clad_outer_wall = 2
clad_top = 3
clad_bottom = 1
pellet_exteriors = 8
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = 'clad'
[]
[fast_neutron_fluence]
block = 'clad'
[]
[grain_radius]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[fuel_cond]
order = CONSTANT
family = MONOMIAL
[]
[swelling_strain]
order = CONSTANT
family = MONOMIAL
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[hoop_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_plastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_axial_strain]
order = CONSTANT
family = MONOMIAL
[]
[hoop_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[axial_elastic_strain]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_flux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_hmode]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_htype]
order = CONSTANT
family = MONOMIAL
[]
[critical_heat_flux]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_mag]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[SED]
order = CONSTANT
family = MONOMIAL
block = 'clad'
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = REPNa4_power_history_Full.csv
format = columns
scale_factor = 1
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = REPNa4_axial_peaking_Full.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # inlet coolant pressure evolution
type = PiecewiseLinear
format = columns
scale_factor = 1.0
xy_data = '0 101325
8640 15499970
124675200 15499970
124718400 101325
125193600 101325
125193610 101325
125193650 500008
125193700 500008
125193900 500008
125194000 101325
125194100 101325'
[]
[temp_ramp] # inlet coolant temp evolution
type = PiecewiseLinear
format = columns
scale_factor = 1.0
xy_data = '0 293.15
8640 591
20476800 591
21859200 600
47692800 600
51840000 593
72144000 593
73440000 586
96940800 586
99360000 583
124675200.0 583
124761600.0 293.150
125193600.0 293.150
125193650.0 553.150
125193900.0 553.150
125194000.0 293.150
125194100.0 293.150'
[]
[burnup_GWd]
type = ParsedFunction
expression = bu*950
symbol_names = 'bu'
symbol_values = 'average_burnup'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_strain
fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz axial_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = 'clad'
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz plastic_strain_xx plastic_strain_yy plastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx
elastic_strain_yy elastic_strain_zz hoop_stress axial_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source_fuel] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
a_upper = 0.5678974
a_lower = 0.0045
fuel_inner_radius = 0
fuel_outer_radius = 0.0040959
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0449 0.9551 0 0 0 0'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_profile
factor = 3e13 #n/m2-s
block = 'clad'
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
block = 'clad'
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = grain_radius
temperature = temp
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[fuel_conductance]
type = MaterialRealAux
property = thermal_conductivity
variable = fuel_cond
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[swelling_strain]
type = MaterialRealAux
property = volumetric_swelling_strain
variable = swelling_strain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[vonmises_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises_stress
scalar_type = VonMisesStress
execute_on = timestep_end
[]
[hoop_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = hoop_creep_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_creep_strain]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = axial_creep_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = hoop_plastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_plastic_strain]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = axial_plastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[total_axial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_axial_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[hoop_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = hoop_elastic_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = 'clad'
[]
[axial_elastic_strain]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = axial_elastic_strain
index_i = 1
index_j = 1
execute_on = timestep_end
block = 'clad'
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[plastic_strain_mag]
type = MaterialRealAux
property = effective_plastic_strain
variable = plastic_strain_mag
block = clad
execute_on = timestep_end
[]
[clad_coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = clad_coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[clad_coolant_flux]
type = MaterialRealAux
property = output_heat_flux
variable = clad_coolant_flux
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
property = critical_heat_flux
variable = critical_heat_flux
boundary = 2
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[SED]
type = MaterialRealAux
variable = SED
property = strain_energy_density
execute_on = timestep_end
[]
[ofract_total]
type = MaterialRealAux
property = current_oxygen_weight_frac_total
variable = oxywtfract_total
execute_on = timestep_end
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
property = oxygen_weight_frac_gained_total
variable = oxywtfgain_total
execute_on = timestep_end
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
property = fract_beta_phase
variable = fract_beta_phase
block = 'clad'
[]
[]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 210 #10
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.3
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[pellet_clad_mechanical_2]
primary = 5
secondary = 410
penalty = 1e9
model = coulomb
formulation = augmented_lagrange
friction_coefficient = 0.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
al_penetration_tolerance = 1e-6
al_incremental_slip_tolerance = 1e-6
al_frictional_force_tolerance = 5e-2
[]
[]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fis_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 0.1e-6 #2.0e-6
roughness_secondary = 0.1e-6 #0.5e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
emissivity_primary = 0.800 #Emissivity for fuel
emissivity_secondary = 0.325 #Emissivity for clad
refab_time = 125107200
refab_gas_types = He
refab_fractions = 1
contact_coef = 20 #10 default
[]
[]
[BCs]
# pin pellets and clad along axis of symmetry (y)
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
# pin clad bottom in the axial direction (y)
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[]
# pin fuel bottom in the axial direction (y)
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = 20
value = 0.0
[]
[Pressure]
# apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
factor = 1
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
# apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_temperature = 293.15
initial_pressure = 2.60e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ave_temp_interior #plenumTemp
volume = gas_volume # coupling to post processor to get gas volume
material_input = fis_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
displacements = 'disp_x disp_y'
# extra_vector_tags = 'ref'
refab_time = 125107200
refab_pressure = 0.301e6
refab_temperature = 293.15
refab_volume = 2.0e-6
[]
[]
[]
[CoolantChannel]
# [convective_clad_surface_water] # apply convective boundary to clad outer surface
# boundary = '1 2 3'
# variable = temp
# inlet_temperature = temp_ramp # K
# inlet_pressure = pressure_ramp # Pa
# inlet_massflux = 3244.044104 # kg/m^2-sec
# rod_diameter = 0.00951 # m
# rod_pitch = 1.26e-2 # m
# coolant_material = 'water'
# compute_enthalpy = true
# oxide_thickness = oxide_thickness # coupled oxide_thickness
# number_axial_zone = 50
# []
#
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp # K
inlet_pressure = pressure_ramp # Pa
inlet_massflux = 3533 # kg/m^2-sec Based on flow rate provided and flow area and estimated density of 885.1 kg/m^3
flow_area = 8.74855e-5 #m^2
heated_diameter = 1.172526e-2 #m
hydraulic_diameter = 4.7e-3 #m
heated_perimeter = 2.984513e-2 #m
coolant_material = 'sodium'
compute_enthalpy = true
heat_transfer_mode = 0
oxide_thickness = oxide_thickness # coupled oxide_thickness
number_axial_zone = 50
rod_diameter = 0.0095 # m
htc_correlation_type = 2
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
#density = 10476.35
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
thermal_conductivity_model = NFIR
initial_porosity = 0.045
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
matpro_poissons_ratio = 1
matpro_youngs_modulus = 1
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
burnup_function = burnup
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
relocation_activation1 = 5000
burnup_relocation_stop = 0.0 #0.0208
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = 'pin_geometry'
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
burnup_function = burnup
initial_fuel_density = 10476.35
total_densification = 0.00675
initial_porosity = 0.045
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
fission_rate = fission_rate
burnup_function = burnup
initial_porosity = 0.045
grain_radius_const = 5.0e-6
gbs_model = false
transient_option = MICROCRACKING_BURNUP
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
strain_free_density = 6550
[]
[clad_thermal]
type = ZryThermal
block = 'clad'
temperature = temp
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
temperature = temp
matpro_poissons_ratio = true
matpro_youngs_modulus = true
cold_work_factor = 0.5
fast_neutron_fluence = fast_neutron_fluence
block = 'clad'
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
#inelastic_models = 'clad_zrycreep clad_zryplasticity'
inelastic_models = 'clad_zryplasticity'
block = 'clad'
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = 'clad'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
#creeprate_scale_factor = 1
model_irradiation_creep = 1
model_primary_creep = 1
model_thermal_creep = 1
max_inelastic_increment = 0.0001
creeprate_scale_factor = 0
enable = 0
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = 'clad'
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = 0.5
plasticity_model_type = MATPRO
zircaloy_alloy_type = 4
max_inelastic_increment = 0.0001
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = 'clad'
temperature = temp
stress_free_temperature = 293.15
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = 'clad'
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
compute = 0
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.00417789
clad_outer_radius = 0.00475615
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
oxygen_weight_fraction_initial = 0.0012
[]
[phase]
type = ZrPhase
block = 'clad'
numerical_method = 2
temperature = temp
[]
[StrainEnergyDensity]
type = StrainEnergyDensity
block = 'clad'
incremental = 1
[]
[]
[Dampers]
[BoundingValueNodalDamper]
type = BoundingValueNodalDamper
max_value = 3200 # The maximum permissible iterative value for the variable.
min_value = 200 # The minimum permissible iterative value for the variable.
variable = temp # The name of the variable that this damper operates on
[]
[contact_slip]
type = ContactSlipDamper
primary = 5
secondary = 10
min_damping_factor = 0.05
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'contact'
contact_line_search_allowed_lambda_cuts = 0
contact_line_search_ltol = 0.5
verbose = true
l_max_its = 100
l_tol = 1e-3
nl_max_its = 40
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = 0
end_time = 125194100 #125193600 #125194100 is the end time for the RIA
dtmax = 10
dtmin = 1e-7
[TimeStepper]
type = IterationAdaptiveDT
dt = 10
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = power_profile
max_function_change = 5e5
force_step_every_function_point = true
timestep_limiting_postprocessor = material_timestep
time_t = '125193610 125193620 125193630 125193640 125193650 125193660 125193670 125193680'
time_dt = '10 10 10 10 10 10 10 10'
[]
[Quadrature]
order = FIFTH #SEVENTH
side_order = SEVENTH #Comment out if order = SEVENTH
[]
[]
[Postprocessors]
# [ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
# type = SideAverageValue
# boundary = 9 #For RIA the node number is ##***8479***##
# variable = temp
# execute_on = 'initial linear'
# []
[ave_temp_interior]
type = NodalVariableValue
variable = temp
nodeid = 8479
execute_on = 'initial linear'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = 'clad'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = 'clad'
value_type = min
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_generated]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
outputs = exodus
[]
[gas_volume] # gas volume
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[1_rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[3_burnup_GWd]
type = FunctionValuePostprocessor
function = burnup_GWd
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_generated
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = 'clad'
variable = vonmises_stress
[]
[z_average_RPF]
type = ElementAverageValue
block = 'pellet_type_1 pellet_type_2 pellet_type_3'
variable = RPF
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = 'clad'
[]
## Nodal values
[FCT] #fuel centerline temperature
type = NodalVariableValue
variable = temp
nodeid = 3866 #(0, 0.303375, 0)
[]
[FST] #fuel surface temperature
type = NodalVariableValue
variable = temp
nodeid = 3823 #(0.0040959, 0.303375, 0)
[]
[CIST] #clad inner surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9557 #(0.0041779, 0.305106, 0)
[]
[COST] #clad outer surface temperature
type = NodalVariableValue
variable = temp
nodeid = 9547 #(0.00475615, 0.305106, 0)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 3823 #(0.0040959, 0.303375, 0)
use_displaced_mesh = true
[]
#######################################
[qpoint_penetration] #FOCE
type = ElementalVariableValue
variable = qpoint_penetration
elementid = 1200
use_displaced_mesh = 1
[]
[penetration] #FOCN
type = NodalVariableValue
variable = penetration
nodeid = 3823
use_displaced_mesh = 1
[]
[contact_pressure] #FOCN
type = NodalVariableValue
variable = contact_pressure
nodeid = 3823
use_displaced_mesh = 1
[]
[gap_cond] #FOCE
type = ElementalVariableValue
variable = gap_cond
elementid = 1200
use_displaced_mesh = 1
[]
[creep_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_creep_strain
elementid = 2981
use_displaced_mesh = 1
[]
[elastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_elastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[plastic_hoop_strain] #COCE
type = ElementalVariableValue
variable = hoop_plastic_strain
elementid = 2981
use_displaced_mesh = 1
[]
[total_hoop_strain] #COCE
type = ElementalVariableValue
variable = total_hoop_strain
elementid = 2981
use_displaced_mesh = 1
[]
[clad_hoop_stress] #COCE
type = ElementalVariableValue
variable = hoop_stress
elementid = 2981
use_displaced_mesh = 1
[]
[clad_axial_elongation] #COTN
type = NodalVariableValue
variable = disp_y
nodeid = 10755
use_displaced_mesh = 1
[]
[clad_oxide_thickness] #COCE
type = ElementalVariableValue
variable = oxide_thickness
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_htc] #COCE
type = ElementalVariableValue
variable = clad_coolant_htc
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_temp] #COCE
type = ElementalVariableValue
variable = coolant_temp
elementid = 2981
use_displaced_mesh = 1
[]
[clad_coolant_flux] #COCE
type = ElementalVariableValue
variable = clad_coolant_flux
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_hmode] #COCE
type = ElementalVariableValue
variable = coolant_channel_hmode
elementid = 2981
use_displaced_mesh = 1
[]
[coolant_channel_htype] #COCE
type = ElementalVariableValue
variable = coolant_channel_htype
elementid = 2981
use_displaced_mesh = 1
[]
[critical_heat_flux] #COCE
type = ElementalVariableValue
variable = critical_heat_flux
elementid = 2981
use_displaced_mesh = 1
[]
[fuel_centerline_temp] #FICN
type = NodalVariableValue
variable = temp
nodeid = 3866
[]
[fuel_surface_temp] #FOCN
type = NodalVariableValue
variable = temp
nodeid = 3823
[]
[clad_inner_surface_temp] #CICN
type = NodalVariableValue
variable = temp
nodeid = 9557
[]
[clad_outer_surface_temp] #COCN
type = NodalVariableValue
variable = temp
nodeid = 9547
[]
[fuel_axial_elongation] #FOTN
type = NodalVariableValue
variable = disp_y
nodeid = 7739
[]
[clad_radial_elongation] #COCN
type = NodalVariableValue
variable = disp_x
nodeid = 9547
[]
[fuel_radial_elongation] #FOCN
type = NodalVariableValue
variable = disp_x
nodeid = 3823
[]
[SED_PPN_O] #COCE
type = ElementalVariableValue
variable = SED
elementid = 2981
use_displaced_mesh = 1
[]
[SED_PPN_I] #CICE
type = ElementalVariableValue
variable = SED
elementid = 2984
use_displaced_mesh = 1
[]
[zz_OFract_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfract_total
elementid = 2981
use_displaced_mesh = 1
[]
[zz_OGain_PPN_O] #COCE
type = ElementalVariableValue
variable = oxywtfgain_total
elementid = 2981
use_displaced_mesh = 1
[]
#######################################
[max_clad_SED]
type = ElementExtremeValue
block = 'clad'
variable = SED
value_type = max
[]
#Post processor to calculate radial average enthalpy. This postprocessor isnt available yet in BISON
[z_RAE]
type = RadialAverageEnthalpy
vector_postprocessor = rad_temp
radial_direction = x
axial_direction = y
axial_position = 0.3
temperature_name = temp
[]
[peak_RAE]
type = TimeExtremeValue
postprocessor = z_RAE
[]
[]
[VectorPostprocessors]
[clad_dia]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_clad_diameter'
[]
[pellet_dia]
type = NodalValueSampler
variable = disp_x
boundary = 10
sort_by = y
outputs = 'outfile_pellet_diameter'
[]
#Location of peak power node at appoximately 0.3 m in mesh
[rad_temp]
type = NodalValueSampler
block = 3
sort_by = y
variable = temp
execute_on = timestep_end
outputs = 'outfile_radial_temp'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 'pellet_type_1 pellet_type_2 pellet_type_3'
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
time_step_interval = 1
csv = true
#exodus = true
color = false
[outfile_clad_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_pellet_diameter]
type = CSV
sync_times = '125194100'
sync_only = true
[]
[outfile_radial_temp]
type = CSV
end_time = -100000
[]
[console]
type = Console
output_linear = true
max_rows = 10
[]
[checkpoint]
type = Checkpoint
num_files = 2
file_base = recover_files
[]
[chkfile]
type = CSV
show = 'ave_temp_interior fis_gas_released FCT average_burnup peak_RAE'
execute_on = 'FINAL'
[]
[exodus]
type = Exodus
time_step_interval = 4
end_time = 125193700
[]
[exodus_RIA]
type = Exodus
time_step_interval = 3
start_time = 125193695
[]
[checkpoint_RIA]
type = Checkpoint
file_base = recover_files_RIA
sync_times = '124761600 125107200 125193600 125193650 125193700 125193700.06 125193700.07 125193700.08 125193700.09 125193700.10 125193700.20 125193700.30 125193700.40 125193700.50 125193700.60 125193700.70 125193700.80 125193700.90 125193701.00 125193701.25 125193701.50 125193701.75 125193702.00 125193702.25 125193702.50 125193702.75 125193703.00 125193704.00 125193705.00'
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
show_material_props = true
[]
(assessment/LWR/validation/RIA_CABRI_REP_Na/analysis/REP_Na_Base.i)
# Base input file
# Problem parameters
acceptable_iterations = 30
acceptable_multiplier = 10
# Neutronics, power, and isotope fractions
energy_per_fission = 3.2e-11 # J/fission
fast_neutron_flux_factor = 3e13 # n/m^2-s
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Function data
Fuel_CTE_function_xy_data = ' 0 1.000E-05
300 1.000E-05
350 1.000E-05
400 1.000E-05
450 1.000E-05
500 1.001E-05
550 1.002E-05
600 1.003E-05
650 1.005E-05
700 1.008E-05
750 1.011E-05
800 1.015E-05
850 1.020E-05
900 1.026E-05
950 1.032E-05
1000 1.039E-05
1050 1.046E-05
1100 1.053E-05
1150 1.061E-05
1200 1.069E-05
1250 1.077E-05
1300 1.085E-05
1350 1.094E-05
1400 1.102E-05
1450 1.111E-05
1500 1.119E-05
1550 1.127E-05
1600 1.135E-05
1650 1.143E-05
1700 1.151E-05
1750 1.158E-05
1800 1.166E-05
1850 1.173E-05
1900 1.180E-05
1950 1.187E-05
2000 1.193E-05
2050 1.199E-05
2100 1.205E-05
2150 1.211E-05
2200 1.217E-05
2250 1.222E-05
2300 1.227E-05
2350 1.232E-05
2400 1.237E-05
2450 1.242E-05
2500 1.246E-05
2550 1.250E-05
2600 1.254E-05
2650 1.258E-05
2700 1.262E-05
2750 1.265E-05
2800 1.268E-05
2850 1.271E-05
2900 1.274E-05
2950 1.277E-05
3000 1.280E-05
3050 1.282E-05
3100 1.285E-05'
# Cladding material properties
cladding_density = 6550 # kg/m^3
# Rod geometry
num_radial = 80
a_lower = 0.0045 # m
fuel_inner_radius = 0 # m
fuel_volume_ratio = 1 # (-)
# Contact
roughness_coef = 3.2
# Relocation
relocation_activation1 = 5000 # W/m
# Plenum parameters
startup_time = 0 # s
refab_temperature = 293.15 # K
# Temperature conditions
stress_free_temperature = 293.15 # K
initial_temperature = 293.15 # K
# Physical constants
ideal_gas_constant = 8.3143 # J/mol-K
# Numerical options
slip_min_damping_factor = 0.05 # (-)
l_max_its = 100
l_tol = 1e-3
nl_max_its = 40
nl_rel_tol = 1e-4
dtmin = 1e-7 # s
TimeStepper_iteration_window = 4
TimeStepper_linear_iteration_ratio = 100
[GlobalParams]
displacements = ${displacements_option}
temperature = temperature
order = SECOND
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_iterations = ${acceptable_iterations}
acceptable_multiplier = ${acceptable_multiplier}
[]
[Mesh]
coord_type = RZ
[]
[Variables]
[temperature]
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = ${clad_block_name}
[]
[fast_neutron_fluence]
block = ${clad_block_name}
[]
[grain_radius]
block = ${fuel_block_name}
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[fuel_cond]
order = CONSTANT
family = MONOMIAL
[]
[swelling_strain]
order = CONSTANT
family = MONOMIAL
block = ${fuel_block_name}
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[total_axial_strain]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temperature]
order = CONSTANT
family = MONOMIAL
[]
[clad_coolant_flux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_hmode]
order = CONSTANT
family = MONOMIAL
[]
[coolant_channel_htype]
order = CONSTANT
family = MONOMIAL
[]
[critical_heat_flux]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_profile]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = ${power_history_data_file}
format = columns
[]
[axial_peaking_factors] # reads and interpolates an input file containing the axial power profile vs time
type = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
axis = 1
[]
[pressure_ramp] # inlet coolant pressure evolution
type = PiecewiseLinear
xy_data = ${pressure_ramp_xy_data}
[]
[temperature_ramp] # inlet coolant temperature evolution
type = PiecewiseLinear
xy_data = ${temperature_ramp_xy_data}
[]
[Fuel_CTE_function] #Fuel CTE as a function of temperature from MATPRO data
type = PiecewiseLinear
xy_data = ${Fuel_CTE_function_xy_data}
[]
[burnup_GWd]
type = ParsedFunction
expression = bu*950
symbol_names = 'bu'
symbol_values = ${burnup_symbol_values}
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source_fuel] # source term in heat conduction equation
type = NeutronHeatSource
variable = temperature
block = ${fuel_block_name}
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = ${fuel_block_name}
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
num_radial = ${num_radial}
num_axial = ${BU_num_axial}
a_upper = ${a_upper}
a_lower = ${a_lower}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
RPF = RPF
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = ${clad_block_name}
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_profile
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
block = ${clad_block_name}
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = ${fuel_block_name}
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[gap_conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[fuel_conductance]
type = MaterialRealAux
property = thermal_conductivity
variable = fuel_cond
block = ${fuel_block_name}
[]
[swelling_strain]
type = MaterialRealAux
property = volumetric_swelling_strain
variable = swelling_strain
block = ${fuel_block_name}
[]
[clad_coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = clad_coolant_htc
boundary = 2
[]
[coolant_temperature]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temperature
boundary = 2
[]
[clad_coolant_flux]
type = MaterialRealAux
property = output_heat_flux
variable = clad_coolant_flux
boundary = 2
[]
[coolant_channel_hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = coolant_channel_hmode
boundary = 2
[]
[coolant_channel_htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = coolant_channel_htype
boundary = 2
[]
[critical_heat_flux]
type = MaterialRealAux
property = critical_heat_flux
variable = critical_heat_flux
boundary = 2
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = timestep_end
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = timestep_end
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = ${clad_block_name}
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = ${contact_penalty}
formulation = penalty
normalize_penalty = ${normalize_contact_penalty_option}
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = fission_gas_released # coupling to a postprocessor which supplies the fission gas addition
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = ${roughness_primary}
roughness_secondary = ${roughness_secondary}
roughness_coef = ${roughness_coef}
quadrature = true
emissivity_primary = ${emissivity_primary} # Emissivity for fuel
emissivity_secondary = ${emissivity_secondary} # Emissivity for clad
refab_time = ${refab_time}
refab_gas_types = He
refab_fractions = 1
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = ${coolantPressure_boundary}
function = pressure_ramp # use the pressure_ramp function defined above
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_temperature = ${initial_temperature}
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles # coupling to post processor to get initial fill gas mass
temperature = ${PP_temperature} #plenumtemperature
volume = ${PP_volume} # coupling to post processor to get gas volume
material_input = fission_gas_released # coupling to post processor to get fission gas added
output = plenum_pressure # coupling to post processor to output plenum/gap pressure
refab_time = ${refab_time}
refab_pressure = ${refab_pressure}
refab_temperature = ${refab_temperature}
refab_volume = ${refab_volume}
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = ${convective_clad_surface_boundary}
variable = temperature
inlet_temperature = temperature_ramp # K
inlet_pressure = pressure_ramp # Pa
coolant_material = ${coolant_material}
compute_enthalpy = true
[]
[]
[Materials]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = ${fuel_block_name}
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
total_densification = ${total_densification}
initial_porosity = ${initial_fuel_porosity}
eigenstrain_name = ${fuel_volumetric_swelling_eigenstrain_name}
[]
[fuel_density]
type = StrainAdjustedDensity
block = ${fuel_block_name}
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = ${fuel_block_name}
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
initial_porosity = ${initial_fuel_porosity}
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = ${fuel_block_name}
[]
[fuel_elasticity_tensor]
type = ${fuel_elasticity_tensor_type}
block = ${fuel_block_name}
[]
[fuel_thermal_expansion]
type = ComputeInstantaneousThermalExpansionFunctionEigenstrain
block = ${fuel_block_name}
stress_free_temperature = ${stress_free_temperature}
thermal_expansion_function = Fuel_CTE_function
eigenstrain_name = ${fuel_thermal_expansion_eigenstrain_name}
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = ${fuel_block_name}
burnup_function = burnup
diameter = ${fuel_diameter}
rod_ave_lin_pow = power_profile
axial_power_profile = axial_peaking_factors
diametral_gap = ${diametral_gap}
burnup_relocation_stop = ${burnup_relocation_stop}
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = ${fuel_relocation_eigenstrain_name}
[]
[fission_gas_release]
type = UO2Sifgrs
block = ${fuel_block_name}
temperature = temperature
burnup_function = burnup
initial_porosity = ${initial_fuel_porosity}
gbs_model = ${gbs_model_option}
[]
[clad_density]
type = StrainAdjustedDensity
block = ${clad_block_name}
strain_free_density = ${cladding_density}
[]
[clad_thermal]
type = ZryThermal
block = ${clad_block_name}
temperature = temperature
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = ${clad_block_name}
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
max_inelastic_increment = ${max_inelastic_increment}
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = ${clad_block_name}
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_inelastic_stress]
type = ComputeMultipleInelasticStress
block = ${clad_block_name}
tangent_operator = elastic
inelastic_models = ${clad_inelastic_models_type}
[]
[clad_irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = ${clad_block_name}
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = ${clad_irradiation_swelling_eigenstrain_name}
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = ${clad_block_name}
cold_work_factor = 0.5
fast_neutron_fluence = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
plasticity_model_type = MATPRO
max_inelastic_increment = ${max_inelastic_increment}
[]
[clad_thermal_expansion] # thermoelasticity, plasticity, and thermal and irradiation creep for Zr4
type = ZryThermalExpansionMATPROEigenstrain
block = ${clad_block_name}
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = ${clad_thermal_expansion_eigenstrain_name}
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
use_coolant_channel = true
fast_neutron_flux = fast_neutron_flux
[]
[phase]
type = ZrPhase
block = ${clad_block_name}
numerical_method = 2
[]
[]
[Dampers]
[contact_slip]
type = ContactSlipDamper
primary = 5
secondary = 10
min_damping_factor = ${slip_min_damping_factor}
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its =${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
end_time = ${end_time}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
optimal_iterations = ${TimeStepper_optimal_iterations}
iteration_window = ${TimeStepper_iteration_window}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
timestep_limiting_function = power_profile
max_function_change = ${TimeStepper_max_function_change}
force_step_every_function_point = true
timestep_limiting_postprocessor = material_timestep_control
time_t = ${time_t}
time_dt = ${time_dt}
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[fis_gas_grain]
type = ${fis_gas_grain_type}
block = ${fuel_block_name}
outputs = exodus
[]
[fis_gas_boundary]
type = ${fis_gas_boundary_type}
block = ${fuel_block_name}
outputs = exodus
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_profile
[]
[burnup_GWd]
type = FunctionValuePostprocessor
function = burnup_GWd
[]
#######################################
[penetration]
type = NodalVariableValue
variable = penetration
nodeid = ${penetration_nodeid}
use_displaced_mesh = 1
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = ${contact_pressure_nodeid}
use_displaced_mesh = 1
[]
[fuel_centerline_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${fuel_centerline_temperature_nodeid}
[]
[fuel_surface_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${fuel_surface_temperature_nodeid}
[]
[clad_inner_surface_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${clad_inner_surface_temperature_nodeid}
[]
[clad_outer_surface_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${clad_outer_surface_temperature_nodeid}
[]
#######################################
[max_fuel_temperature]
type = NodalExtremeValue
block = ${fuel_block_name}
variable = temperature
[]
[max_clad_temperature]
type = NodalExtremeValue
block = ${clad_block_name}
variable = temperature
[]
[material_timestep_control]
type = MaterialTimeStepPostprocessor
block = ${clad_block_name}
[]
[]
[VectorPostprocessors]
[ox_thick]
type = SideValueSampler
variable = oxide_thickness
boundary = 2
sort_by = y
outputs = 'outfile_oxide_thickness'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
color = ${color_option}
[console]
type = Console
output_linear = true
max_rows = 10
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = ${chkfile_show}
execute_on = 'FINAL'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
time_step_interval = 4
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso_hunt.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.956 0.240 0.304 1.0 1.0 1.0"
# function_names = "F G H L M N"
# temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_aniso_hunt_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BFJ027/BFJ027.i)
################################################################################
#
# Description: Calvert Cliffs BFJ027
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BFJ027_power.csv
# axial peaking factor file BFJ027_axial_peaking.csv
# flux boundary condition file BFJ027_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07
[GlobalParams]
density = ${initial_fuel_density} #94.882 %TD Assume TD = 10972.65 kg/cm3
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.28943
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BFJ027_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BFJ027_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177688931 177689291'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177688931 177689291'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BFJ027_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = 1
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155 # m
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0366 .9634 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177689291
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
execute_on = 'FINAL'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/OxideEnergyDeposition/matpro_test.i)
#This test is a complete run with ZryOxidation feeding incremental oxide thickness to OxideEnergyDeposition
#which then calculates energy and applies it to the cladding. The model is 2D cladlet of outer radius
#6.25e-3 m, inner radius of 5.525e-3 m and length of 0.2 m. There are 4 linear elements axially and 1 radially.
#
#The options for the ZryOxidation model are as follows:
#
# This case is prepared for testing PWR cladding waterside corrosion using
# EPRI/KWU/CE model
#
#The mesh has a PiecewiseLinear temperature function applied to the outer cladding surface, while the other
#surfaces have no flux boundary conditions. The temperature is increased from 300 K to 1800 K over 15 sec
#at 100 K incremnts. This test was used to validate OxideEnergyDeposition against MATPRO. More information
#is available in the BISON documentation.
#
#As a secondary function this test also tests the oxide_scale_thickness_increment variable that was
#added to ZryOxidation, by virture of using it for OxideEnergyDeposition.
#--------------------------------------------------------------------------------
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.005525
xmax = 0.00625
ymin = 0
ymax = 0.2
nx = 1
ny = 4
elem_type = QUAD4
[]
[]
[Functions]
[outer_cladding_surface]
type = PiecewiseLinear
x = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15'
y = '300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800'
[]
[]
[AuxVariables]
[fast_neutron_flux]
order = CONSTANT
family= MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_metal] # Oxygen weight fraction in metal (/)
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness_increment] # incremental oxide thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
boundary = right
factor = 1.0e18
execute_on = 'initial timestep_begin'
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = right
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = right
[]
[ofract_metal]
type = MaterialRealAux
variable = oxywtfract_metal
property = current_oxygen_weight_frac_metal_wall
boundary = right
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = right
execute_on = timestep_end
[]
[oxide_increment_increment]
type = MaterialRealAux
property = oxide_scale_thickness_increment
variable = oxide_thickness_increment
boundary = right
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[OxideEnergyDeposition]
type = OxideEnergyDeposition
variable = temp
clad_inner_radius = 0.005525
clad_outer_radius = 0.00625 # 0.000725 m thick
scale_thickness_increment = oxide_thickness_increment
n_radial = 1
[]
[]
[BCs]
[clad_inner_surface]
type = NeumannBC
boundary = left
value = 0
variable = temp
[]
[clad_outer_surface]
type = FunctionDirichletBC
boundary = right
function = outer_cladding_surface
variable = temp
[]
[top_clad]
type = NeumannBC
boundary = top
value = 0
variable = temp
[]
[bottom_clad]
type = NeumannBC
boundary = bottom
value = 0
variable = temp
[]
[]
[Materials]
[clad_thermal]
type = HeatConductionMaterial
block = 0
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[density]
type = ParsedMaterial
block = 0
property_name = density
expression = 6551.0
[]
[oxidation_zry]
type = ZryOxidation
boundary = right
clad_inner_radius = 0.005525
clad_outer_radius = 0.00625 # 0.000725 m thick
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
temperature = temp
use_coolant_channel = false
fast_neutron_flux = fast_neutron_flux
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
l_max_its = 200
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-5
nl_abs_tol = 1e-10
start_time = 0.0
end_time = 15
dt = 1.0
[]
[Postprocessors]
[clad_inner_surface_flux]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = left
diffusivity = thermal_conductivity
[]
[clad_outer_surface_flux]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = right
diffusivity = thermal_conductivity
[]
[oxyconc2_scale]
type = SideAverageValue
boundary = right
variable = oxyconc2_scale
[]
[oxyconc2_total]
type = SideAverageValue
boundary = right
variable = oxyconc2_total
[]
[oxywtfract_metal]
type = SideAverageValue
boundary = right
variable = oxywtfract_metal
execute_on = 'initial timestep_end'
[]
[oxide_thickness]
type = SideAverageValue
boundary = right
variable = oxide_thickness
execute_on = 'initial linear'
[]
[ave_oxide_thickness_increment]
type = SideAverageValue
boundary = right
variable = oxide_thickness_increment
execute_on = 'initial linear'
[]
[ave_temp]
type = ElementAverageValue
variable = temp
block = 0
[]
[function_temp]
type = FunctionValuePostprocessor
function = outer_cladding_surface
[]
[dt]
type = TimestepSize
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_2/IFA_650_2.i)
initial_fuel_density = 10412
[GlobalParams]
density = ${initial_fuel_density} # 0.95TD UO2, TD=10960
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ife6502_medium2.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
initial_condition = 5.e-06 # !! assumption
[]
[max_fission_rate]
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[average_linear_heat_rate]
type = PiecewiseLinear
data_file = linear_heat_rate_av.csv
format = columns
scale_factor = 1
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors_lhr.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_clad_outer_temperature]
type = PiecewiseLinear
data_file = temperature_clad_outer_av.csv
format = columns
scale_factor = 1
[]
[axial_temperature_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors_ctemp.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_outer_temperature]
type = CompositeFunction
functions = 'average_clad_outer_temperature axial_temperature_peaking_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = pressure_rig.csv
format = columns
scale_factor = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[uo2nat]
block = 'pellet_type_1 pellet_type_3'
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'uo2nat_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[fuel]
block = pellet_type_2
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
#extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
#extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
#extra_vector_tags = 'ref'
block = pellet_type_2
fission_rate = fission_rate
decay_heat_function = decay_heat_function # Couple to postprocessor which defines the decay heat function
max_fission_rate = max_fission_rate # Couple to auxvariable which defines maximum fission rate over irradiation
[]
[]
[Burnup]
[burnup]
block = pellet_type_2
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 28.5e-03 # mesh dependent
a_upper = 528.5e-03 # mesh dependent
fuel_inner_radius = 0.
fuel_outer_radius = 4.145e-03
fuel_volume_ratio = 1. # for use with dished pellets (ratio of actual volume to cylinder volume)
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3.e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_2
variable = grain_radius
temperature = temp
execute_on = linear
[]
[max_fission_rate]
type = MaxFissionRateAux
variable = max_fission_rate
block = pellet_type_2
fission_rate = fission_rate
execute_on = timestep_begin
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = clad
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_cond
[]
[nbbl2]
type = MaterialRealAux
block = pellet_type_2
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[radbbl]
type = MaterialRealAux
block = pellet_type_2
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[stcvrg]
type = MaterialRealAux
block = pellet_type_2
variable = sat_coverage
property = sat_coverage
[]
[frcvrg]
type = MaterialRealAux
block = pellet_type_2
variable = GBCoverage
property = GBCoverage
[]
[dvv0bd]
type = MaterialRealAux
block = pellet_type_2
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temperature]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 4.e+06
startup_time = -200
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_2
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_2
thermal_conductivity_model = FINK_LUCUTA
temperature = temp
burnup_function = burnup
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_2
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_2
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_2
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_2
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_2
burnup_function = burnup
diameter = 0.00829
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =70.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_2
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temp
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 3.e-03
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_3'
thermal_conductivity = 3. # !! assumption
specific_heat = 300. # !! assumption
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_3'
strain_free_density = ${initial_fuel_density}
[]
[uo2nat_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_3'
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = uo2nat_thermal_strain
[]
[uo2nat_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_3'
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_3'
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1.e-02
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200
n_startup_steps = 1
end_time = 229440
dtmax = 2700. #1000.
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
dt = 200.
#optimal_iterations = 4
#iteration_window = 2
#linear_iteration_ratio = 100
timestep_limiting_function = average_clad_outer_temperature
max_function_change = 10
timestep_limiting_postprocessor = material_timestep
time_t = '-200. 0. 3.5e+04 216000. 218700. 219180. 219240. 219799. 219819. 219821. 219999.'
time_dt = ' 200. 900. 2700. 2700. 60. 60. 20. 20.
10. 10. 2.'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[decay_heat_function]
type = DecayHeatFunction
time_at_shutdown = 100000001.
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = clad
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = pellet_type_2
execute_on = 'initial timestep_end'
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temp
nodeid = 54 # Global node ID = 55 !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = 'initial linear'
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = 'initial linear'
[]
[alhr_input]
type = FunctionValuePostprocessor
function = average_linear_heat_rate
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_oxygen_fgain]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
block = clad
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_2
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
print_linear_residuals = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[out_vector_pp]
execute_vector_postprocessors_on = 'timestep_end'
type = CSV
[]
[]
(test/tests/zry_oxidation_cladding/oxide_coolant_couple.i)
################################################################################
#
# This case is prepared to test coupling coolant channel model with Zry Oxide
# corrosion model
#
# The test case is a segment of fuel clad with an axial length of 0.3 meter and
# a diameter of 1.10 cm; rod-to-rod pitch is 1.26 cm; inlet temperature is 553 K;
# heat flux at cladding OD is 578745.25 W/m^2.
#
# The geometry clad_rz_short_rev2.e has:
# Number of dimensions = 2
# Number of element blocks = 1
# Number of sidesets = 4
# Number of nodesets = 0
# Number of bc sets = 1
# Number of elements = 10
# Number of nodes = 18
#
# Number of elements in radial direction = 2
# Number of elements in axial direction = 5
#
# In considering the corrosion effects, an effective heat transfer coefficent
# is derived; when used in the CoolantChannel model, the temperature at cladding
# ID is same as the temperature in heat conduction through layered structure of
# zry and zirconium oxide.
#
# This simulation is run for 3 days, using a time step of 1 day (86400 seconds).
# The hand calculations for normal operating temperature oxide thickness and total
# gained oxygen concentration are listed below for element 9 in the mesh.
#
# Time (days) oxide thickness (m) total oxygen concentration (kg/m^2)
# 1 1.784e-8 2.632e-5
# 2 3.689e-7 5.442e-4
# 3 4.649e-7 6.859e-4
#
# Because no oxygen concentration is gained in the metal (a low temperature
# assumption in the code), the total gained oxygen concentration is equal to the
# gained oxygen concentration in the scale oxide.
#
#--------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = clad_rz_short_rev2.e
[]
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 241
[]
# Define dependent variables, element order and shape function family,
# and initial conditions
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300 # K, initial temperature
[]
[]
[AuxVariables]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_scale] # Oxygen concentration in ZrO2 scale (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_metal] # Oxygen concentration in metal (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[oxyconc2_total] # Total oxygen concentration (oxide + metal) (kg/m**2)
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = oxide_scale_thickness
boundary = 3
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 3
[]
[oconc_scale]
type = MaterialRealAux
variable = oxyconc2_scale
property = gained_oxygen_concentration_scale
boundary = 3
[]
[oconc_metal]
type = MaterialRealAux
variable = oxyconc2_metal
property = gained_oxygen_concentration_metal_wall
boundary = 3
[]
[oconc_total]
type = MaterialRealAux
variable = oxyconc2_total
property = gained_oxygen_concentration_total
boundary = 3
[]
[]
# Define boundary conditions
[BCs]
[clad_inner_surface]
type = NeumannBC
boundary = 1
value = 636619.77 # heat flux from fuel
variable = temp
[]
[top_clad]
type = NeumannBC
boundary = 2
value = 0
variable = temp
[]
[bottom_clad]
type = NeumannBC
boundary = 4
value = 0
variable = temp
[]
[]
[CoolantChannel]
# convective boundary condition at clad outer surface
[clad_outer_surface]
boundary = 3
variable = temp
inlet_temperature = 553 # K
inlet_pressure = 15.5E6 # Pa
inlet_massflux = 1000 # kg/m^2-sec
rod_diameter = 1.10e-2 # m
rod_pitch = 1.26e-2 # m
heat_flux = 578745.25 # W/m^2
heat_transfer_mode = 2 # D-B correlation
oxide_thickness = oxide_thickness # coupled oxide_thickness
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = 1
temperature = temp
[]
[density]
type = ParsedMaterial
block = 1
property_name = density
expression = 6551.0 # kg/m^3
[]
[oxidation_zry]
type = ZryOxidation
boundary = 3
clad_inner_radius = 0
clad_outer_radius = 0
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
temperature = temp
# outputs = all
# output_properties = 'oxide_scale_thickness'
[]
[]
[Executioner]
type = Transient
# PETSC options
solve_type = 'PJFNK'
# controls for linear iterations
l_max_its = 200
l_tol = 1e-6 #8e-3
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
# time control
start_time = 0.0
dt = 86400
end_time = 259200 # 3 days
[]
[Postprocessors]
[oxide_thickness] #
type = ElementalVariableValue
variable = oxide_thickness
elementid = 9
[]
[oxyconc2_scale]
type = ElementalVariableValue
elementid = 9
variable = oxyconc2_scale
[]
[oxyconc2_metal]
type = ElementalVariableValue
elementid = 9
variable = oxyconc2_metal
[]
[oxyconc2_total]
type = ElementalVariableValue
elementid = 9
variable = oxyconc2_total
[]
[]
# Define output file(s)
[Outputs]
exodus = true
file_base = oxide_coolant_coupled_out
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_ad.i)
# Simulation ORNL burst tests Zr2_2
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_2.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_2.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 2.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 2.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_2_ad_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/Calvert_Cliffs-1_PROTOTYPE/analysis/BEN013/BEN013.i)
################################################################################
#
# Description: Calvert Cliffs BEN013
#
# Boundary condition: Inlet temperature and mass flux
#
# External files:
# power history file BEN013_power.csv
# axial peaking factor file BEN013_axial_peaking.csv
# flux boundary condition file BEN013_fast_flux.csv
#
################################################################################
initial_fuel_density = 10411.07 #94.882 %TD Assume TD = 10972.65 kg/cm3
[GlobalParams]
density = ${initial_fuel_density}
displacements = 'disp_x disp_y'
order = SECOND
energy_per_fission = 3.2e-11
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 7.112e-4
pellet_mesh_density = customize
ny_p = 200
nx_c = 4
nx_p = 12
pellet_outer_radius = .00478155
ny_cu = 3
ny_c = 200
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.47218
ny_cl = 3
clad_top_gap_height = 0.28581
clad_gap_width = 9.525e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 293
[]
[]
[AuxVariables]
[gap_conductance]
block = 'mechanical_secondary_subdomain'
[]
[fast_neutron_flux]
block = 1
[]
[fast_neutron_fluence]
block = 1
[]
[grain_radius]
block = 3
initial_condition = 4.2e-6
[]
[effective_creep_strain]
block = 1
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseConstant
data_file = BEN013_power.csv
direction = right
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = BEN013_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 177922434 177922794'
y = '0.0065315 1 1 0.0065315'
[]
[temp_ramp]
type = PiecewiseLinear
x = '-100 0 177922434 177922794'
y = '293 557.15 557.15 293'
[]
[flux]
type = PiecewiseLinear
data_file = BEN013_fast_flux.csv
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = 3
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = 1
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = '1 3'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = 3
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[gap_conductance]
type = GapConductanceMortar
primary_boundary = 5
secondary_boundary = 10
primary_subdomain = 'mechanical_primary_subdomain'
secondary_subdomain = 'mechanical_secondary_subdomain'
heat_flux = thermal_contact_thermal_lm
temperature = temp
variable = gap_conductance
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = 1
axial_power_profile = axial_peaking_factors
function = flux
factor = 4.8e17 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 3
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
# temperature = temp
# fast_neutron_flux = fast_neutron_flux
variable = oxide_thickness
boundary = 2
# use_coolant_channel = true # true when oxide_thickness is coupled with coolant channel model
# oxide_scale_factor = 1.0 # a scale factor to increase oxidation rate
# model_option = 1
# lithium_concentration = 1.5 # average Li concentration
# tin_content = 1.45 # %
# execute_on = timestep_end
[]
[]
[Burnup]
[burnup]
block = 3
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.47696
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00478155
fuel_volume_ratio = 1
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0367 .9633 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[mechanical]
model = coulomb
formulation = mortar
primary = 5
secondary = 10
friction_coefficient = 0.4
c_normal = 1e+12
c_tangential = 1e+24
tangential_lm_scaling = 1.0e-16
normal_lm_scaling = 1.0e-10
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = '5'
secondary_boundary = '10'
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = mechanical_normal_lm
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
thermal_lm_scaling = 1.0e-2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.51320391e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.72342913e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temperature
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = temp_ramp
inlet_pressure = 15.51320391e6
inlet_massflux = 3682.143 # kg/m^2-sec
rod_diameter = 0.011176 # m
rod_pitch = 1.473e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = 3
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = 3
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = 3
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = 3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 3
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 3
burnup_function = burnup
diameter = 0.0095631 #Fuel pellet diameter in m
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =190.5e-6
relocation_activation1 = 5000
burnup_relocation_stop = 0.029
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 3
temperature = temp
burnup = burnup
initial_fuel_density = 10411.07
total_densification = 0.01
initial_porosity = 0.05
eigenstrain_name = fuel_volumetric_strain
[]
[ZryOxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = 0.0048768
clad_outer_radius = 0.005588
use_coolant_channel = true
temperature = temp
fast_neutron_flux = fast_neutron_flux
[]
[clad_thermal]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 293.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6551.0
[]
[fission_gas_release]
type = UO2Sifgrs
block = 3
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
burnup = burnup
transient_option = MICROCRACKING
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-12'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 8e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
start_time = -100
end_time = 177922794
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 1e2
optimal_iterations = 200
linear_iteration_ratio = 100
timestep_limiting_function = power_history
max_function_change = 3e20
force_step_every_function_point = true
[]
[]
[Postprocessors]
[avg_gap_conductance]
type = ElementAverageValue
block = 'mechanical_secondary_subdomain'
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = 3
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = 3
outputs = exodus
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[average_fission_rate]
type = ElementAverageValue
block = 3
variable = fission_rate
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = 3
fission_rate = fission_rate
variable = temp
[]
[disp_y_3023]
type = NodalVariableValue
nodeid = 3022
variable = disp_y
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = 3
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
print_linear_residuals = true
perf_graph = true
[console]
type = Console
max_rows = 40
[]
[chkfile]
type = CSV
show = 'average_centerline_fuel_temperature fission_gas_released_percentage maximum_clad_elongation maximum_fuel_elongation'
# execute_on = 'FINAL'
sync_times = '3600 7200 10800 14400 177922434 177922794'
sync_only = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/IFA_716/analysis/IFA_716_Base.i)
# This file contains all characteristics common to the entire assessment
# NOTE: This file requires information contained in subsequent files and therefore is not designed to run on its own
# Fuel material properties
total_densification = 0.0015 # (-)
# Cladding material properties
cold_work_factor = 0.2 # (-)
zircaloy_alloy_type = 4
cladding_density = 6550.0 # kg/m^3
# Cladding geometry
clad_inner_radius = 4.65e-3 # m
clad_outer_radius = 5.375e-3 # m
# Fuel geometry
num_radial = 80
num_axial = 11
a_lower = 0.001025 # m
a_upper = 0.400525 # m
fuel_inner_radius = 0 # m
fuel_outer_radius = 0.456e-02 # m
fuel_volume_ratio = 0.99140 # (-)
fuel_diameter = 9.12e-3 # m
diametral_gap = 180.0e-6 # m
# Neutronics, power, and isotope fractions
energy_per_fission = 3.28451e-11 # J/fission
fast_neutron_flux_factor = 3e13 # n/m^2-s
isotope_fraction_Pu239 = 0.0
isotope_fraction_Pu240 = 0.0
isotope_fraction_Pu241 = 0.0
isotope_fraction_Pu242 = 0.0
# Temperature conditions
initial_temperature = 293.0 # K
stress_free_temperature = 293.0 # K
# Coolant pressure ramp parameters
pressure_ramp_x = '-200 0'
pressure_ramp_y = '0 1'
coolant_pressure_ramp_factor = 3.4e6 # (-)
# Physical constants
graviational_acceleration_constant = -9.81 # m/s^2
# Plenum parameters
initial_plenum_pressure = 1.0e6 # Pa
startup_time = -200 # s
# Coolant channel parameters
inlet_pressure = 3.4e+06 # Pa
inlet_massflux = 450.0 # kg/m^2-s
rod_diameter = 10.75e-03 # m
rod_pitch = 46.e-03 # m
htc_correlation_type = 2
# Relocation
relocation_activation1 = 5000 # W/m
# Numerical options
l_max_its = 50
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -200 # s
n_startup_steps = 1
end_time = 60025104 # s
num_steps = 50000
dtmax = 5e5 # s
dtmin = 0.1 # s
TimeStepper_dt = 2e2 # s
TimeStepper_iteration_window = 2
TimeStepper_growth_factor = 2
TimeStepper_cutback_factor = .5
# Postprocessor parameters
burnup_scaling_factor = 950.0 # GWd/tUO2 per FIMA
time_days_scale_factor = 1.157407407e-5 # days/s
clad_elongation_nodeid = 1085
fuel_elongation_nodeid = 689
upper_TC_temperature_nodeid = 886
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = ${initial_fuel_porosity}
temperature = temperature
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = ${energy_per_fission}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_update_strategy = auto
patch_size = 10
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = ${rod_mesh_file}
[]
[]
[Variables]
[temperature]
initial_condition = ${initial_temperature}
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
block = 'pellet_type_1 pellet_type_2'
initial_condition = ${initial_grain_radius}
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = ${power_history_data_file}
scale_factor = 1e3
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = ${axial_peaking_data_file}
scale_factor = 1
axis = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = ${pressure_ramp_x}
y = ${pressure_ramp_y}
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors'
[]
[coolant_inlet_temperature]
type = PiecewiseLinear
data_file = ${coolant_inlet_temperature_data_file}
scale_factor = 1
format = columns
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = ${add_variables_option}
strain = FINITE
[pellets]
block = 'pellet_type_1 pellet_type_2'
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_eigenstrain fuel_volumetric_strain'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = ${graviational_acceleration_constant}
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = 'pellet_type_1 pellet_type_2'
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = 'pellet_type_1 pellet_type_2'
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = ${num_radial}
num_axial = ${num_axial}
a_lower = ${a_lower}
a_upper = ${a_upper}
fuel_inner_radius = ${fuel_inner_radius}
fuel_outer_radius = ${fuel_outer_radius}
fuel_volume_ratio = ${fuel_volume_ratio}
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '${isotope_fraction_U235} ${isotope_fraction_U238} ${isotope_fraction_Pu239} ${isotope_fraction_Pu240} ${isotope_fraction_Pu241} ${isotope_fraction_Pu242}'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = ${fast_neutron_flux_factor}
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = 'pellet_type_1 pellet_type_2'
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[oxide]
type = MaterialRealAux
property = oxide_scale_thickness
variable = oxide_thickness
boundary = 2
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = ${plenum_temperature_inner_surfaces}
outer_surfaces = ${plenum_temperature_outer_surfaces}
temperature = temperature
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = ${no_y_clad_bottom_boundary}
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = ${no_y_fuel_bottom_boundary}
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = ${coolant_pressure_ramp_factor}
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = ${PlenumPressure_boundary}
initial_pressure = ${initial_plenum_pressure}
startup_time = ${startup_time}
R = ${ideal_gas_constant}
output_initial_moles = initial_moles
temperature = plenum_temp
volume = gas_volume
material_input = fission_gas_released
output = plenum_pressure
displacements = 'disp_x disp_y'
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temperature
inlet_temperature = coolant_inlet_temperature
inlet_pressure = ${inlet_pressure}
inlet_massflux = ${inlet_massflux}
rod_diameter = ${rod_diameter}
rod_pitch = ${rod_pitch}
htc_correlation_type = ${htc_correlation_type}
compute_enthalpy = true
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = 'pellet_type_1 pellet_type_2'
thermal_conductivity_model = HALDEN
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ${fuel_elasticity_tensor_type}
block = 'pellet_type_1 pellet_type_2'
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
block = 'pellet_type_1 pellet_type_2'
burnup_function = burnup
total_densification = ${total_densification}
initial_fuel_density = ${initial_fuel_density}
gas_swelling_model_type = SIFGRS
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_creep]
type = UO2CreepUpdate
block = 'pellet_type_1 pellet_type_2'
fission_rate = fission_rate
oxygen_to_metal_ratio = ${oxygen_to_metal_ratio}
[]
[fuel_thermal_expansion]
type = ${fuel_thermal_expansion_type}
block = 'pellet_type_1 pellet_type_2'
temperature = temperature
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = fuel_thermal_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = 'pellet_type_1 pellet_type_2'
relocation_model = ESCORE_modified
burnup_function = burnup
diameter = ${fuel_diameter}
diametral_gap = ${diametral_gap}
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
relocation_activation1 = ${relocation_activation1}
eigenstrain_name = ${fuel_relocation_eigenstrain_name}
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = 'pellet_type_1 pellet_type_2'
tangent_operator = elastic
inelastic_models = 'fuel_creep'
[]
[fuel_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_2'
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = 'pellet_type_1 pellet_type_2'
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
ig_bubble_model = NUCLEATION_RESOLUTION
diff_coeff_option = TURNBULL_D1_4D2_4D3
doping_type = CR2O3_DOPED
cr_doped_option = BEST_ESTIMATE_1773
[]
[clad_thermal]
type = ${clad_thermal_type}
block = clad
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep clad_zryplasticity'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLimbackHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_primary_creep = true
model_thermal_creep = true
model_irradiation_creep = true
zircaloy_material_type = stress_relief_annealed
[]
[clad_zryplasticity]
type = ZryPlasticityUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
cold_work_factor = ${cold_work_factor}
zircaloy_alloy_type = ${zircaloy_alloy_type}
plasticity_model_type = ${plasticity_model_type}
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = ${stress_free_temperature}
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = ${cladding_density}
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
clad_inner_radius = ${clad_inner_radius}
clad_outer_radius = ${clad_outer_radius}
use_coolant_channel = true
temperature = temperature
fast_neutron_flux = fast_neutron_flux
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = ${solve_type}
petsc_options = '-snes_ksp_ew'
petsc_options_iname = ${petsc_options_iname}
petsc_options_value = ${petsc_options_value}
line_search = ${line_search}
l_max_its = ${l_max_its}
l_tol = ${l_tol}
nl_max_its = ${nl_max_its}
nl_rel_tol = ${nl_rel_tol}
nl_abs_tol = ${nl_abs_tol}
start_time = ${start_time}
n_startup_steps = ${n_startup_steps}
end_time = ${end_time}
num_steps = ${num_steps}
dtmax = ${dtmax}
dtmin = ${dtmin}
[TimeStepper]
type = IterationAdaptiveDT
dt = ${TimeStepper_dt}
timestep_limiting_function = power_history
max_function_change = ${TimeStepper_max_function_change}
linear_iteration_ratio = ${TimeStepper_linear_iteration_ratio}
optimal_iterations = ${TimeStepper_optimal_iterations}
iteration_window = ${TimeStepper_iteration_window}
growth_factor = ${TimeStepper_growth_factor}
cutback_factor = ${TimeStepper_cutback_factor}
force_step_every_function_point = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = power_history
execute_on = 'initial timestep_end'
[]
[temperature_fuel_max]
type = NodalExtremeValue
variable = temperature
block = 'pellet_type_1 pellet_type_2'
execute_on = 'initial timestep_end'
[]
[burnup_ave]
type = RodAverageBurnup
burnup_function = burnup
[]
[burnup_ave_MWdkgU]
type = ScalePostprocessor
value = burnup_ave
scaling_factor = ${burnup_scaling_factor}
[]
[temperature_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[gas_volume]
type = InternalVolume
boundary = '9'
execute_on = 'initial linear'
[]
[fission_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = 'pellet_type_1 pellet_type_2'
execute_on = linear
[]
[fission_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = 'pellet_type_1 pellet_type_2'
execute_on = linear
[]
[fgr_percent]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_produced
execute_on = linear
[]
[_dt]
type = TimestepSize
execute_on = linear
[]
[nonlinear_its]
type = NumNonlinearIterations
execute_on = linear
[]
[clad_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${clad_elongation_nodeid}
[]
[fuel_elongation]
type = NodalVariableValue
variable = disp_y
nodeid = ${fuel_elongation_nodeid}
[]
[upper_TC_temperature]
type = NodalVariableValue
variable = temperature
nodeid = ${upper_TC_temperature_nodeid}
[]
[time_days]
type = FunctionValuePostprocessor
function = t
scale_factor = ${time_days_scale_factor}
[]
[]
[Outputs]
perf_graph = true
color = false
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
file_base = '${id}_chkfile'
show = 'upper_TC_temperature fgr_percent plenum_pressure strain_clad_hoop_max'
execute_on = 'FINAL'
[]
[csv]
type = CSV
file_base = '${id}_csv'
[]
[exodus]
type = Exodus
file_base = '${id}_exodus'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_ad.i)
# Simulation ORNL burst tests Zr2_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 400. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_1_ad_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '2.e+06 2.e+06' # 20 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_02MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]