- densityInitial fuel density
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Initial fuel density
- temperatureCoupled temperature
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled temperature
UO2CreepUpdate
Computes the secondary thermal and irradiation creep for UO2 LWR fuel. This material must be run in conjunction with ComputeMultipleInelasticStress.
Description
A model for combined secondary thermal creep and irradiation creep of UO fuel is available, with the creep rate modeled as a function of time, temperature, effective stress, density, grain size, fission rate, and oxygen-to-metal ratio (O/M). The constitutive relation is taken from the MATPRO FCREEP material model (Allison et al., 1993) and given as (1) where is the creep rate (1/s), is the effective (von Mises) stress (Pa), is the temperature (K), is the fuel density (percent of theoretical), is the grain size (, is the volumetric fission rate (fissions/-s), are the activation energies (J/mol), and is the universal gas constant (8.3145 J/mol-K).
The first term in Eq. (1) represents diffusional thermal creep and is applicable to low stress and low temperature conditions. The second term in Eq. (1) represents thermal dislocation or power-law creep and is applicable to high stress and high temperature conditions. Note that irradiation creep is included in both the first and third terms, as both are functions of the fission rate (). Irradiation enhances normal diffusional thermal creep (at elevated temperatures) as indicated in the first term. Irradiation creep also occurs at lower temperatures where thermal creep is not active, and is accounted for by the third term in Eq. (1). Material constants for the thermal creep terms are listed in Table 1.
Table 1: Parameters used in the UO Thermal Creep Model (Allison et al., 1993)
| Parameter | Value | Parameter | Value |
|---|---|---|---|
The activation energies for the thermal creep terms (Q and Q) are strongly dependent upon the fuel oxygen to metal ratio and, in MATPRO, are defined using the Arrhenius type relations where the energies are given in J/mole and (2) This function, Eq. (2), is plotted in Figure 1.
Figure 1: The function defining the dependence of the activation energies for thermal creep on the UO oxygen to metal ratio.
Transitional Stress
In MATPRO, a transition stress is defined to govern the transition between the first (low stress) and second (high stress) regions. When the applied stress is larger than the transition stress, the applied stress is used in the power-law relation and the transition stress is used in the linear creep relation. When the applied stress is lower than the transition stress, the applied stress is used in the linear relation and the power-law contribution is zero. Mai et al. (2010) investigated the MATPRO transition approach in comparison to experimental data and concluded that a better fit to the data could be achieved by simply ignoring the transition stress and applying both the low and high stress terms in all cases. This approach has been adopted in BISON.
MATPRO-Halden Creep Model
The low temperature irradiation creep (third term in Eq. (1)) requires further discussion. As the equation indicates, the original MATPRO formulation included exponential temperature dependence in this term. After a careful review of the MATPRO documentation and supporting literature, it is clear that this temperature dependency was based on a single experimental study (Brucklacher et al., 1973) involving only a very limited number of experiments. Additionally, this early study specified a relatively narrow applicability range for the correlation (523 K 773 K), which was not enforced in the MATPRO implementation. Several other studies, both early (Brucklacher and Dienst, 1972; Perrin, 1972; Solomon, 1973; Dienst, 1977) and more recent (Sakai et al., 2011; Sakai, 2013; Szoke and Tverberg, 2014), did not observe temperature dependency for low temperature irradiation creep, but reported creep rate variation as a function of only stress and fission rate. The most extensive data for irradiation creep of UO has been generated at the Halden Research Reactor, resulting in the following correlation (Sakai, 2013): (3) where A = .
The default model in BISON, which is referred to as the MATPRO-Halden model, replaces the third term in Eq. (1) with Eq. (3), thus removing temperature dependency. Note that the temperature dependent formulation can still be specified simply by providing the original MATPRO material constants (given in the table below) as input parameters.
Table 2: Irradiation creep material parameters for the original MATPRO model which included temperature dependence
| Parameter | Value |
|---|---|
| 1/K |
Example Input Syntax
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[creep]
type = UO2CreepUpdate<<<{"description": "Computes the secondary thermal and irradiation creep for UO2 LWR fuel. This material must be run in conjunction with ComputeMultipleInelasticStress.", "href": "UO2CreepUpdate.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 1
temperature<<<{"description": "Coupled temperature"}>>> = temp
fission_rate<<<{"description": "Coupled fission rate"}>>> = fission_rate
initial_grain_radius<<<{"description": "Fuel grain radius (m)"}>>> = 10.0e-6
oxygen_to_metal_ratio<<<{"description": "Oxygen to metal ratio"}>>> = 2.0
[]
[]UO2CreepUpdate must be run in conjunction with the inelastic strain return mapping stress calculator as shown below:
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[radial_return_stress]
type = ComputeMultipleInelasticStress<<<{"description": "Compute state (stress and internal parameters such as plastic strains and internal parameters) using an iterative process. Combinations of creep models and plastic models may be used.", "href": "../ComputeMultipleInelasticStress.html"}>>>
tangent_operator<<<{"description": "Type of tangent operator to return. 'elastic': return the elasticity tensor. 'nonlinear': return the full, general consistent tangent operator."}>>> = elastic
inelastic_models<<<{"description": "The material objects to use to calculate stress and inelastic strains. Note: specify creep models first and plasticity models second."}>>> = 'creep'
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = 1
[]
[]Input Parameters
- a77.78e-37Coefficient on irradiation creep term
Default:7.78e-37
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Coefficient on irradiation creep term
- absolute_tolerance1e-11Absolute convergence tolerance for Newton iteration
Default:1e-11
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Absolute convergence tolerance for Newton iteration
- acceptable_multiplier10Factor applied to relative and absolute tolerance for acceptable convergence if iterations are no longer making progress
Default:10
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Factor applied to relative and absolute tolerance for acceptable convergence if iterations are no longer making progress
- adaptive_substeppingFalseUse adaptive substepping, where the number of substeps is successively doubled until the return mapping model successfully converges or the maximum number of substeps is reached.
Default:False
C++ Type:bool
Controllable:No
Description:Use adaptive substepping, where the number of substeps is successively doubled until the return mapping model successfully converges or the maximum number of substeps is reached.
- automatic_differentiation_return_mappingFalseWhether to use automatic differentiation to compute the derivative.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use automatic differentiation to compute the derivative.
- base_nameOptional parameter that defines a prefix for all material properties related to this stress update model. This allows for multiple models of the same type to be used without naming conflicts.
C++ Type:std::string
Controllable:No
Description:Optional parameter that defines a prefix for all material properties related to this stress update model. This allows for multiple models of the same type to be used without naming conflicts.
- 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
- burnup_functionBurnup function
C++ Type:BurnupFunctionName
Unit:(no unit assumed)
Controllable:No
Description:Burnup function
- 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.
- fission_rateCoupled fission rate
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled fission rate
- initial_grain_radius1e-05Fuel grain radius (m)
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Fuel grain radius (m)
- max_inelastic_increment0.0001The maximum inelastic strain increment allowed in a time step
Default:0.0001
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The maximum inelastic strain increment allowed in a time step
- maximum_number_substeps25The maximum number of substeps allowed before cutting the time step.
Default:25
C++ Type:unsigned int
Controllable:No
Description:The maximum number of substeps allowed before cutting the time step.
- oxygen_to_metal_ratio2Oxygen to metal ratio
Default:2
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Oxygen to metal ratio
- po2_fraction0Weight fraction of PO2
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Weight fraction of PO2
- q30Activation energy for irradiation creep, divided by gas constant (1/K)
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Activation energy for irradiation creep, divided by gas constant (1/K)
- relative_tolerance1e-08Relative convergence tolerance for Newton iteration
Default:1e-08
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Relative convergence tolerance for Newton iteration
- use_substep_integration_errorFalseIf true, it establishes a substep size that will yield, at most,the creep numerical integration error given by substep_strain_tolerance.
Default:False
C++ Type:bool
Controllable:No
Description:If true, it establishes a substep size that will yield, at most,the creep numerical integration error given by substep_strain_tolerance.
- use_substeppingNONEWhether and how to use substepping
Default:NONE
C++ Type:MooseEnum
Options:NONE, ERROR_BASED, INCREMENT_BASED
Controllable:No
Description:Whether and how to use substepping
Optional Parameters
- apply_strainTrueFlag to apply strain. Used for testing.
Default:True
C++ Type:bool
Controllable:No
Description:Flag to apply strain. Used for testing.
- 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.
- effective_inelastic_strain_nameeffective_creep_strainName of the material property that stores the effective inelastic strain
Default:effective_creep_strain
C++ Type:std::string
Controllable:No
Description:Name of the material property that stores the effective inelastic strain
- 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
- substep_strain_tolerance0.1Maximum ratio of the initial elastic strain increment at start of the return mapping solve to the maximum inelastic strain allowable in a single substep. Reduce this value to increase the number of substeps
Default:0.1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Maximum ratio of the initial elastic strain increment at start of the return mapping solve to the maximum inelastic strain allowable in a single substep. Reduce this value to increase the number of substeps
- 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
- internal_solve_full_iteration_historyFalseSet true to output full internal Newton iteration history at times determined by `internal_solve_output_on`. If false, only a summary is output.
Default:False
C++ Type:bool
Controllable:No
Description:Set true to output full internal Newton iteration history at times determined by `internal_solve_output_on`. If false, only a summary is output.
- internal_solve_output_onon_errorWhen to output internal Newton solve information
Default:on_error
C++ Type:MooseEnum
Options:never, on_error, always
Controllable:No
Description:When to output internal Newton solve information
Debug 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/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
- (test/tests/solid_mechanics/uo2_mechanics/uo2_creep_matpro_pr.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2_1p5d_fr_ffrd.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
- (test/tests/solid_mechanics/uo2_creep/adUo2_creep_smeared_cracking.i)
- (assessment/LWR/validation/Super_Ramp/analysis/Super_Ramp_Base.i)
- (test/tests/solid_mechanics/uo2_creep/uo2_creep_rate.i)
- (assessment/LWR/validation/Super_Ramp/analysis/PK62/PK62_weighted_gap_VCP.i)
- (examples/2D_plane_strain_fretting_wear/fretting-wear-initial.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
- (test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_fuel_rod.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
- (test/tests/solid_mechanics/uo2_mechanics/uo2_creep_matpro_none.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2_1p5d_fr_frd.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_cracking/SmearedCracking.i)
- (examples/2D-RZ_rodlet_10pellets/smeared_cracking/ADSmearedCracking.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1.i)
- (test/tests/solid_mechanics/uo2_creep/adUo2_creep.i)
- (test/tests/solid_mechanics/uo2_creep/uo2_creep.i)
- (examples/accident_tolerant_fuel/uo2_coated_zircaloy/uo2_coated_zircaloy.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part1_1p5d_fr_ffrd.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
- (test/tests/solid_mechanics/uo2_creep/adUo2_creep_rate.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part1_1p5d_fr_frd.i)
- (examples/2D_plane_strain_rod/planestrain.i)
- (test/tests/solid_mechanics/uo2_creep/uo2_creep_x01.i)
- (assessment/LWR/validation/IFA_677/analysis/IFA_677_Base.i)
- (test/tests/solid_mechanics/uo2_creep/uo2_creep_irradiation.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
- (assessment/LWR/validation/IFA_716/analysis/IFA_716_Base.i)
- (examples/accident_tolerant_fuel/uo2_fecral/uo2_fecral.i)
- (examples/2D_plane_strain_fretting_wear/fretting-wear-initial-dyn-exc.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_196/Studsvik_196_part2.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
- (assessment/LWR/validation/LOCA_Studsvik/analysis/rod_191/Studsvik_191_part2.i)
- (test/tests/solid_mechanics/uo2_creep/adUo2_creep_rz.i)
- (test/tests/solid_mechanics/uo2_hotpressing/hotpressing_creep_plasticity.i)
- (test/tests/solid_mechanics/uo2_mechanics/uo2_creep_matpro_ym.i)
- (test/tests/solid_mechanics/uo2_hotpressing/creep_plasticity.i)
- (test/tests/solid_mechanics/uo2_creep/uo2_creep_smeared_cracking.i)
- (assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/cracking/TSQ002_cracking.i)
- (assessment/LWR/validation/Riso_GE7_ZX115/analysis/cracking_creep/Riso_GE7_smeared_cracking_creep.i)
- (test/tests/solid_mechanics/uo2_creep/uo2_creep_rz.i)
Child Objects
References
- C. M. Allison, G. A. Berna, R. Chambers, E. W. Coryell, K. L. Davis, D. L. Hagrman, D. T. Hagrman, N. L. Hampton, J. K. Hohorst, R. E. Mason, M. L. McComas, K. A. McNeil, R. L. Miller, C. S. Olsen, G. A. Reymann, and L. J. Siefken.
SCDAP/RELAP5/MOD3.1 code manual, volume IV: MATPRO-A library of materials properties for light-water-reactor accident analysis.
Technical Report NUREG/CR-6150, EGG-2720, Idaho National Engineering Laboratory, 1993.[BibTeX]
@TECHREPORT{hagrman93, author = "Allison, C. M. and Berna, G. A. and Chambers, R. and Coryell, E. W. and Davis, K. L. and Hagrman, D. L. and Hagrman, D. T. and Hampton, N. L. and Hohorst, J. K. and Mason, R. E. and McComas, M. L. and McNeil, K. A. and Miller, R. L. and Olsen, C. S. and Reymann, G. A. and Siefken, L. J.", editor = "Hagrman, D. T.", title = "{SCDAP/RELAP5/MOD3.1} Code Manual, Volume {IV}: {MATPRO}-{A} Library of Materials Properties for Light-Water-Reactor Accident Analysis", institution = "Idaho National Engineering Laboratory", year = "1993", number = "NUREG/CR-6150, EGG-2720" } - D. Brucklacher and W. Dienst.
Creep behavior of ceramic nuclear fuels under neutron irradiation.
Journal of Nuclear Materials, 42(3):285–296, 1972.
doi:10.1016/0022-3115(72)90079-7.[BibTeX]
@article{brucklacher_et_al_1972, author = "Brucklacher, D. and Dienst, W.", title = "Creep behavior of ceramic nuclear fuels under neutron irradiation", journal = "Journal of Nuclear Materials", year = "1972", volume = "42", number = "3", pages = "285-296", doi = "10.1016/0022-3115(72)90079-7" } - D. Brucklacher, W. Dienst, and F. Thummler.
Creep behavior of oxide fuels under neutron irradiation, Paper 251.
In Proceedings REAKTORTAGUNG 1973 des Deutschen Atomforums/KTG held in Karlsruhe, 413–416. Apr 10-13 1973.[BibTeX]
@INPROCEEDINGS{brucklacher_et_al_1973, author = "Brucklacher, D. and Dienst, W. and Thummler, F.", title = "Creep Behavior of Oxide Fuels Under Neutron Irradiation, {P}aper 251", booktitle = "Proceedings {REAKTORTAGUNG} 1973 des Deutschen Atomforums/{KTG} held in Karlsruhe", year = "1973", month = "Apr 10-13", pages = "413-416" } - W. Dienst.
Irradiation induced creep of ceramic materials.
Journal of Nuclear Materials, 65:1–8, 1977.
doi:10.1016/0022-3115(77)90035-6.[BibTeX]
@article{dienst_1977, author = "Dienst, W.", title = "Irradiation induced creep of ceramic materials", journal = "Journal of Nuclear Materials", year = "1977", volume = "65", pages = "1-8", doi = "10.1016/0022-3115(77)90035-6" } - A. T. Mai, W. F. Lyon, R. O. Montgomery, and R. S. Dunham.
An evaluation of the MATPRO fuel creep model using the FALCON fuel analysis code.
Trans. Am. Nucl. Soc., 102:888–889, 2010.[BibTeX]
@ARTICLE{mai2010, author = "Mai, A. T. and Lyon, W. F. and Montgomery, R. O. and Dunham, R. S.", title = "An Evaluation of the {MATPRO} Fuel Creep Model Using the {FALCON} Fuel Analysis Code", journal = "Trans. Am. Nucl. Soc.", year = "2010", volume = "102", pages = "888-889" } - J. S. Perrin.
Effect of irradiation on creep of UO_2-PuO_2.
Journal of Nuclear Materials, 42:101–104, 1972.[BibTeX]
@article{perrin_1972, author = "Perrin, J. S.", title = "Effect of irradiation on creep of {UO}\_2-{P}u{O}\_2", journal = "Journal of Nuclear Materials", year = "1972", volume = "42", pages = "101-104" } - K. Sakai.
The fuel creep test IFA-701: results after four irradiation cycles.
Technical Report HWR-1039, OECD Halden Reactor Project, 2013.[BibTeX]
@TECHREPORT{hwr-1039, author = "Sakai, K.", title = "The fuel creep test {IFA}-701: results after four irradiation cycles", institution = "OECD Halden Reactor Project", year = "2013", number = "HWR-1039" } - K. Sakai, H. Hanakawa, and T. Tverberg.
Investigation of fission induced creep of UO2 and Cr-doped fuel in IFA-701.
Technical Report HWR-1006, OECD Halden Reactor Project, 2011.[BibTeX]
@TECHREPORT{hwr-1006, author = "Sakai, K. and Hanakawa, H. and Tverberg, T.", title = "Investigation of fission induced creep of {UO2} and {C}r-doped fuel in {IFA}-701", institution = "OECD Halden Reactor Project", year = "2011", number = "HWR-1006" } - A. A. Solomon.
Radiation induced creep of UO_2.
American Ceramic Society, 56(3):164–171, 1973.
doi:10.1111/j.1151-2916.1973.tb15435.x.[BibTeX]
@article{solomon_1973, author = "Solomon, A. A.", title = "Radiation induced creep of {UO}\_2", journal = "American Ceramic Society", year = "1973", volume = "56", number = "3", doi = "10.1111/j.1151-2916.1973.tb15435.x", pages = "164-171" } - R. Szoke and T. Tverberg.
Update on in-pile results from the fuel creep test IFA-701.
Technical Report HWR-1092, OECD Halden Reactor Project, 2014.[BibTeX]
@TECHREPORT{hwr-1092, author = "Szoke, R. and Tverberg, T.", title = "Update on in-pile results from the fuel creep test {IFA}-701", institution = "OECD Halden Reactor Project", year = "2014", number = "HWR-1092" }
(test/tests/solid_mechanics/uo2_creep/uo2_creep_irradiation.i)
# Tests material model CreepUO2, which computes the combined thermal and
# irradiation creep for UO2 fuel. This test is specifically designed
# to verify the non temperature dependent irradiation creep option, which
# differs from the original MATPRO correlation (which included temperature
# dependence via an exponential term). The material parameters for the irradiation
# creep term (code defaults) are:
#
# A7 = 7.78e-37
# Q3 = 0
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e6 Pa. The temperature and fission rate within the cube
# are uniform and constant at 600 K and 2e19 fissios/m**3-s. The total time is
# 1e6, which is solved in 10 equal steps of 1e5.
# The small-strain anaytical solution for the total y displacement at time=1e6s is:
# y_disp = elastic_component + irradiation_creep_component + thermal_creep_component
# = (uniaxial_stress/elastic_modulus)*cube_height + (A7*mises_stress*fission_rate)*time + negligible
# = (5e6/2e11)*1 + (7.78e-37*5e6*2e19)*1e6
# = 1.02800e-4.
#
# BISON gets 1.02805e-4 using large deformation solid mechanics. The difference in the two solutions is 0.005%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 600.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e19
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 5
factor = -5e6
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_bottom_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 600.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 100000
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep_irradiation.i)
# Tests material model CreepUO2, which computes the combined thermal and
# irradiation creep for UO2 fuel. This test is specifically designed
# to verify the non temperature dependent irradiation creep option, which
# differs from the original MATPRO correlation (which included temperature
# dependence via an exponential term). The material parameters for the irradiation
# creep term (code defaults) are:
#
# A7 = 7.78e-37
# Q3 = 0
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e6 Pa. The temperature and fission rate within the cube
# are uniform and constant at 600 K and 2e19 fissios/m**3-s. The total time is
# 1e6, which is solved in 10 equal steps of 1e5.
# The small-strain anaytical solution for the total y displacement at time=1e6s is:
# y_disp = elastic_component + irradiation_creep_component + thermal_creep_component
# = (uniaxial_stress/elastic_modulus)*cube_height + (A7*mises_stress*fission_rate)*time + negligible
# = (5e6/2e11)*1 + (7.78e-37*5e6*2e19)*1e6
# = 1.02800e-4.
#
# BISON gets 1.02805e-4 using large deformation solid mechanics. The difference in the two solutions is 0.005%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 600.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e19
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 5
factor = -5e6
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_bottom_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 600.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 100000
[]
[Outputs]
exodus = true
[]
(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_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
[]
[]
(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'
[]
[]
(test/tests/solid_mechanics/uo2_mechanics/uo2_creep_matpro_pr.i)
# Tests material model UO2CreepUpdate, which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e5 Pa. The temperature is ramped up and the fission
# rate within the cube is constant.
# MATPRO is used to calculate Poisson's ratio.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = patch.e
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300.0
scaling = 1e7
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[power]
type = ParsedFunction
expression = 2.5e4
[]
[temp]
type = ParsedFunction
expression = 300+1.2e3*t
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
block = '1 2 3 4 5 6 7'
add_variables = true
strain = FINITE
generate_output = 'stress_yy'
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[Burnup]
[burnup]
block = '1 2 3 4 5 6 7'
order = FIRST
family = LAGRANGE
rod_ave_lin_pow = power
num_radial = 11
num_axial = 2
a_lower = 0
a_upper = .00041
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 1
rpf_active = false
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 11
factor = -0.5e6
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 9
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 10
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 14
value = 0.0
[]
[temp]
type = FunctionDirichletBC
variable = temp
boundary = '9 11'
function = temp
[]
[]
[Materials]
[elasticity_tensor]
type = UO2ElasticityTensor
block = '1 2 3 4 5 6 7'
temperature = temp
matpro_youngs_modulus = false
matpro_poissons_ratio = true
[]
[creep]
type = UO2CreepUpdate
block = '1 2 3 4 5 6 7'
temperature = temp
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
burnup_function = burnup
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = '1 2 3 4 5 6 7'
[]
[thermal]
type = HeatConductionMaterial
block = '1 2 3 4 5 6 7'
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = '1 2 3 4 5 6 7'
strain_free_density = 10431.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-6
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
end_time = 1
dt = 1e-1
[]
[Outputs]
exodus = true
[]
(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'
[]
[]
(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/'
[]
[]
(test/tests/solid_mechanics/uo2_creep/adUo2_creep_smeared_cracking.i)
# Tests material model CreepUO2, which computes the combined thermal
# and irradiation creep for UO2 fuel, in conjunction with smeared cracking
#
# This test is based on uo2_creep.i. It is a single element unit cube which
# is pulled in the y direction using the displacement history obtained from the
# response of uo2_creep_test.i under a pressure of 50 MPa. During this phase,
# the recovered stress is almost exactly 50 MPa. Starting at time 100000, the
# displacement is rapidly increased, resulting in cracking. At that point,
# the creep model is de-activated. The creep strains are frozen, and the model
# follows the softening law of the smeared cracking model.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[temp]
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[crack_flags3]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
xy_data = '0.0000000E+000 0.0000000E+000
1.0000000E+004 2.6631798E-004
2.0000000E+004 2.8260494E-004
3.0000000E+004 2.9889218E-004
4.0000000E+004 3.1517967E-004
5.0000000E+004 3.3146743E-004
6.0000000E+004 3.4775546E-004
7.0000000E+004 3.6404375E-004
8.0000000E+004 3.8033231E-004
9.0000000E+004 3.9662113E-004
1.0000000E+005 4.1291022E-004
1.0004000E+005 12.1291022E-004'
[]
[time_function]
type = PiecewiseLinear
x = '0 100000 100001 200000'
y = '10000 10000 1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic/system]
add_variables = true
strain = FINITE
use_automatic_differentiation = true
generate_output = 'stress_yy'
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temp
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[effective_creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
[]
[crack_3]
type = ADMaterialRealVectorValueAux
property = crack_flags
variable = crack_flags3
component = 2
[]
[]
[BCs]
[u_top_pull]
type = ADFunctionDirichletBC
variable = disp_y
boundary = 5
function = top_pull
[]
[u_bottom_fix]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = ADDirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = ADDirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_fix]
type = ADDirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = ADUO2CreepUpdate
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[fuel_stress]
type = ADComputeSmearedCrackingStress
cracking_stress = 130e6
shear_retention_factor = 0.05
# max_stress_correction = 0.0
inelastic_models = 'creep'
softening_models = exponential_softening
cracked_elasticity_type = DIAGONAL
[]
[exponential_softening]
type = ADExponentialSoftening
[]
# [radial_return_stress]
# type = ComputeMultipleInelasticStress
# tangent_operator = elastic
# inelastic_models = 'creep'
# block = 1
# []
[thermal]
type = ADHeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = ADStrainAdjustedDensity
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-4
l_tol = 1e-5
start_time = 0.0
dt = 10000
end_time = 100040
[TimeStepper]
type = FunctionDT
function = time_function
[]
[]
[Outputs]
exodus = true
[]
(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
[]
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep_rate.i)
# Tests material model CreepUO2 which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature and fission rate within the cube
# are uniform and constant at 1500 K and 2e18 fissios/m**3-s. The total time is
# 1e5, which is solved in 10 equal steps of 1e4.
# The small-strain anaytical solution for the total y displacement (elastic + thermal
# creep + irradiation creep) is 4.12825e-4. BISON gets 4.12910e-4 using large
# deformation solid mechanics. The difference in the two solutions is 0.021%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain
execute_on = 'TIMESTEP_END'
[]
[creep_rate]
type = MaterialRealAux
property = creep_rate
variable = creep_rate
execute_on = 'TIMESTEP_END'
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 5
factor = -0.5e8
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Postprocessors]
[creep_strain]
type = ElementAverageValue
variable = creep_strain
[]
[creep_rate]
type = ElementAverageValue
variable = creep_rate
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 10000
[]
[Outputs]
csv = true
[]
(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
[]
[]
(examples/2D_plane_strain_fretting_wear/fretting-wear-initial.i)
initial_fuel_density = 10431.0
[GlobalParams]
temperature = temp
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = refined_excitation_better_mesh.e
[]
construct_node_list_from_side_list = true
patch_size = 100 # For contact algorithm
[]
[Variables]
[temp]
initial_condition = 580.0 # set initial temp to ambient
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y '
converge_on = 'disp_x disp_y temp'
material_coverage_check = false
kernel_coverage_check = false
# restart_file_base = planestrain_grid_aux_vars_out_cp/LATEST
[]
[AuxVariables]
[fission_rate]
block = pellet_type_1
[]
[burnup]
block = pellet_type_1
[]
[fast_neutron_flux]
block = 'clad grid'
[]
[fast_neutron_fluence]
block = 'clad grid'
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[worn_depth]
order = FIRST
family = LAGRANGE
block = 'spacer_clad_mechanical_secondary_subdomain'
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[pressure_var] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '0 1e4'
y = '0 1'
[]
[pressure_var_variable] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = ParsedFunction
expression = 'if(t < 1e4, 1, 1 + sin((t-1e4)*pi/10.0) * (t-1e4))'
[]
[]
[Physics/SolidMechanics/Dynamic]
[pellets]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = pellet_type_1
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[clad]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = clad
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[grid]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = grid
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'grid_thermal_eigenstrain grid_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
block = 'pellet_type_1 clad grid'
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
block = 'pellet_type_1 clad'
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[spacer_clad_mechanical]
formulation = mortar
model = coulomb
primary = 101
secondary = 102
c_normal = 1e+16 # 1e+7
c_tangential = 1e+20
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
generate_mortar_mesh = true
wear_depth = worn_depth
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical_real]
formulation = mortar
model = frictionless
primary = 7
secondary = 8
c_normal = 1e+16 #
c_tangential = 1e+16
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
generate_mortar_mesh = true
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = 7
secondary_boundary = 8
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
[]
[]
[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 = 21
axial_axis = 2
density = ${initial_fuel_density}
a_lower = -1e-3 # mesh dependent!
a_upper = 1e-3 # 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)
#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
RPF = RPF
[]
[]
[AuxKernels]
[worn_depth]
type = MortarArchardsLawAux
variable = worn_depth
primary_boundary = 101
secondary_boundary = 102
primary_subdomain = 'spacer_clad_mechanical_primary_subdomain'
secondary_subdomain = 'spacer_clad_mechanical_secondary_subdomain'
displacements = 'disp_x disp_y'
friction_coefficient = 0.5
energy_wear_coefficient = 0.1e-9
normal_pressure = spacer_clad_mechanical_normal_lm
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
[]
[relocation_strain]
type = MaterialRealAux
property = relocation_strain
variable = relocation_strain
block = pellet_type_1
execute_on = timestep_end
[]
[]
[BCs]
# Define boundary conditions
[no_y_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_y
boundary = 15
value = 0.0
[]
[no_x_all] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = 16
value = 0.0
[]
[no_y_all_grid] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = disp_y
boundary = '112'
function = 'if(t < 1.0e4,1.0e-4 * t/1.0e4 - 1.0e-5,0.9e-4)'
[]
[no_x_all_grid] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = '112'
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = pressure_var # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
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 = ConvectiveFluxBC
boundary = '2'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 580.0
final = 580.0
duration = 1.0e4 #duration of initial power ramp
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = pellet_type_1
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_solid_mechanics_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
temperature = temp
eigenstrain_name = 'fuel_volumetric_eigenstrain'
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
density = 10431.0
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1'
youngs_modulus = 906e6
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 1.e20
relocation_activation1 = 5000
axial_axis = 2
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[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 = ZryCreepHayesHoppeUpdate
block = 'clad'
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = 'clad'
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'clad'
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'clad_irradiation_eigenstrain'
[]
[grid_thermal]
type = HeatConductionMaterial
block = 'grid'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[grid_elasticity_tensor]
type = ZryElasticityTensor
block = 'grid'
[]
[grid_creep_model]
type = ZryCreepHayesHoppeUpdate
block = 'grid'
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[grid_stress]
type = ComputeMultipleInelasticStress
block = 'grid'
tangent_operator = elastic
inelastic_models = 'grid_creep_model'
[]
[grid_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'grid'
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'grid_thermal_eigenstrain'
[]
[grid_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = grid
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'grid_irradiation_eigenstrain'
[]
[fission_gas_release] # Forsberg-Massih fission gas release mode
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = 10.0e-6
#external_pressure = 40e6
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431.0
[]
[grid]
type = StrainAdjustedDensity
block = grid
density = 6560
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
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-6 NONZERO 1e-10'
snesmf_reuse_base = true
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 45
nl_rel_tol = 1e-10 # was -7 and nl 25. Tightening tangential contact forces.
nl_abs_tol = 1e-12
[TimeIntegrator]
type = NewmarkBeta
beta = 0.25
gamma = 0.5
[]
start_time = 0.0
end_time = 1.0e5
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
time_t = '1e4 1e5 1e6'
time_dt = '2e2 1e4 1e5'
growth_factor = 1.4
iteration_window = 5.0
optimal_iterations = 35
[]
dtmax = 2e5 # Larger causes instabilities 2e6
dtmin = 1
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[average_interior_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[average_centerline_fuel_temperature] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial timestep_end'
[]
[plenum_volume] # gas volume
type = InternalVolume
boundary = 9
addition = 1.3e-5 #rough guess of plenum volume/unit length of fuel
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_generated] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = linear
[]
[fission_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
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
execute_on = timestep_end
[]
[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
fission_rate = fission_rate
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_generated
[]
[]
[VectorPostprocessors]
[contact_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_normal_lm
boundary = 102
[]
[frictional_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_tangential_lm
boundary = 102
[]
[worn_depth]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = worn_depth
boundary = 102
execute_on = TIMESTEP_END
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
max_rows = 25
[]
checkpoint = true
[]
(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
[]
[]
(test/tests/solid_mechanics/uo2_eigenstrains/uo2_relocation/relo_recov_fuel_rod.i)
#
# Simple fuel rod example for relocation recovery.
#
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
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
pellet_mesh_density = customize
ny_p = 1
nx_p = 1
nx_c = 1
ny_cu = 1
ny_c = 1
ny_cl = 1
pellet_quantity = 1
pellet_height = 0.01
pellet_outer_radius = 4.1e-3
clad_gap_width = 160.0e-6
clad_thickness = 0.56e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 1.0e-2
elem_type = QUAD8
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
patch_size = 20
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[layered_average_contact_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
order = CONSTANT
family = MONOMIAL
[]
[volumetric_strain]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_xx]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[creep_strain_zz]
order = CONSTANT
family = MONOMIAL
block = 1
[]
[volumetric_swelling_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 6.327640e+07 6.33628e7 6.34492e7 1.0e08'
y = '0 2.5e4 2.5e4 0 2.5e4 2.5e4'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
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'
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'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
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
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
RPF = RPF
fuel_volume_ratio = 1
fuel_pin_geometry = pin_geometry
[]
[]
[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
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[layered_average_contact_pressure]
type = SpatialUserObjectAux
block = pellet
variable = layered_average_contact_pressure
execute_on = nonlinear
user_object = layered_average_contact_pressure
[]
[gas_swell]
type = MaterialRealAux
block = pellet
variable = gas_swell
property = gas_swelling
execute_on = nonlinear
[]
[volumetric_strain]
type = RankTwoScalarAux
block = pellet
rank_two_tensor = total_strain
variable = volumetric_strain
scalar_type = VolumetricStrain
execute_on = nonlinear
[]
[elastic_strain_rr]
type = RankTwoAux
variable = elastic_strain_rr
rank_two_tensor = elastic_strain
index_i = 0
index_j = 0
execute_on = nonlinear
[]
[total_strain_rr]
type = RankTwoAux
variable = total_strain_rr
rank_two_tensor = total_strain
index_i = 0
index_j = 0
execute_on = nonlinear
[]
[stress_rr]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
execute_on = nonlinear
[]
[elastic_strain_yy]
type = RankTwoAux
variable = elastic_strain_yy
rank_two_tensor = elastic_strain
index_i = 2
index_j = 2
execute_on = nonlinear
[]
[total_strain_yy]
type = RankTwoAux
variable = total_strain_yy
rank_two_tensor = total_strain
index_i = 2
index_j = 2
execute_on = nonlinear
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 2
index_j = 2
execute_on = nonlinear
[]
[elastic_strain_zz]
type = RankTwoAux
variable = elastic_strain_zz
rank_two_tensor = elastic_strain
index_i = 1
index_j = 1
execute_on = nonlinear
[]
[total_strain_zz]
type = RankTwoAux
variable = total_strain_zz
rank_two_tensor = total_strain
index_i = 1
index_j = 1
execute_on = nonlinear
[]
[stress_zz]
type = RankTwoAux
variable = stress_zz
rank_two_tensor = stress
index_i = 1
index_j = 1
execute_on = nonlinear
[]
[volumetric_swelling_strain]
type = MaterialRealAux
variable = volumetric_swelling_strain
property = volumetric_swelling_strain
block = pellet
execute_on = nonlinear
[]
[creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
block = clad
execute_on = nonlinear
[]
[creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
block = clad
execute_on = nonlinear
[]
[creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
block = clad
execute_on = nonlinear
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
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]
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 = 15.5e6
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 0.5e6
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
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
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_creep]
type = UO2CreepUpdate
block = pellet
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 1e12
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_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup_function = burnup
initial_fuel_density = ${initial_fuel_density}
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
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
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
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
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
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[]
[]
[UserObjects]
[layered_average_contact_pressure]
type = LayeredSideAverage
variable = contact_pressure
direction = y
num_layers = 1
execute_on = timestep_end
boundary = 10
[]
# [avg_gap]
# type = LayeredAverage
# block = pellet
# variable= penetration
# direction = y
# num_layers = 1
# execute_on = 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'
verbose = false
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
n_startup_steps = 1
end_time = 1.0e8
dtmax = 2e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
time_t = '0 1.0e4 6.327640e+07 6.33628e7 6.34492e7 1.0e08'
time_dt = '2e2 1e3 1e3 1e3 1e3 1e3'
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[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
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[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
[]
[reloc_strain]
type = ElementAverageValue
variable = relocation_strain
block = pellet
execute_on = timestep_end
[]
[contact_pressure]
type = ElementAverageValue
variable = contact_pressure
block = pellet
execute_on = nonlinear
[]
[average_contact_pressure]
type = ElementAverageValue
variable = layered_average_contact_pressure
block = pellet
execute_on = timestep_end
[]
[clad_crp_zz]
type = SideAverageValue
boundary = 5
variable = creep_strain_zz
execute_on = timestep_end
[]
[clad_crp_xx]
type = SideAverageValue
boundary = 5
variable = creep_strain_xx
execute_on = timestep_end
[]
[clad_creep_increment]
type = SideAverageIncrementTensorComponent
boundary = 5
variable = creep_strain_zz
execute_on = timestep_end
[]
[ave_burnup]
type = ElementAverageValue
variable = burnup
block = pellet
execute_on = timestep_end
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = pellet
execute_on = timestep_end
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = pellet
execute_on = timestep_end
[]
[elastic_strain_rr]
type = ElementAverageValue
variable = elastic_strain_rr
block = pellet
execute_on = nonlinear
[]
[total_strain_rr]
type = ElementAverageValue
variable = total_strain_rr
block = pellet
execute_on = nonlinear
[]
[stress_rr]
type = ElementAverageValue
variable = stress_rr
block = pellet
execute_on = timestep_end
[]
[elastic_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
block = pellet
execute_on = nonlinear
[]
[total_strain_yy]
type = ElementAverageValue
variable = total_strain_yy
block = pellet
execute_on = nonlinear
[]
[stress_yy]
type = ElementAverageValue
variable = stress_yy
block = pellet
execute_on = timestep_end
[]
[elastic_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
block = pellet
execute_on = nonlinear
[]
[total_strain_zz]
type = ElementAverageValue
variable = total_strain_zz
block = pellet
execute_on = timestep_end
[]
[stress_zz]
type = ElementAverageValue
variable = stress_zz
block = pellet
execute_on = timestep_end
[]
[thermal_strain_rr]
type = DifferencePostprocessor
value1 = total_strain_rr
value2 = elastic_strain_rr
execute_on = timestep_end
[]
[thermal_strain_yy]
type = DifferencePostprocessor
value1 = total_strain_yy
value2 = elastic_strain_yy
execute_on = timestep_end
[]
[thermal_strain_zz]
type = DifferencePostprocessor
value1 = total_strain_zz
value2 = elastic_strain_zz
execute_on = timestep_end
[]
[vol_swell_increment]
type = SideAverageIncrementTensorComponent
boundary = 10
variable = volumetric_swelling_strain
execute_on = nonlinear
[]
[recov_strain]
type = ElementAverageValue
variable = recovered_relocation_strain
block = pellet
execute_on = timestep_end
[]
[]
# [VectorPostprocessors]
# [clad]
# type = NodalValueSampler
# variable = disp_x
# boundary = 2
# sort_by = y
# outputs = 'outfile_clad_radial_displacement'
# []
# [pellet]
# type = NodalValueSampler
# variable = disp_x
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_radial_displacement'
# []
# []
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
[chkfile]
type = CSV
show = 'reloc_strain recov_strain'
execute_on = 'FINAL'
[]
# [outfile_clad_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
# [outfile_fuel_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
[]
(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/solid_mechanics/uo2_mechanics/uo2_creep_matpro_none.i)
# Tests material model UO2CreepUpdate, which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature is ramped up and the fission
# rate within the cube is constant.
# MATPRO is used to calculate neither Young's modulus nor Poisson's ratio;
# therefore, the displacements should be equal throughout the test.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = patch.e
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300.0
scaling = 1e7
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[power]
type = ParsedFunction
expression = 2.5e4
[]
[temp]
type = ParsedFunction
expression = 300+1.2e3*t
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[all]
strain = FINITE
incremental = true
add_variables = true
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[Burnup]
[burnup]
block = '1 2 3 4 5 6 7'
order = FIRST
family = LAGRANGE
rod_ave_lin_pow = power
num_radial = 11
num_axial = 2
a_lower = 0
a_upper = .00041
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 1
rpf_active = false
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 11
factor = -0.5e8
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 9
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 10
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 14
value = 0.0
[]
[temp]
type = FunctionDirichletBC
variable = temp
boundary = '9 11'
function = temp
[]
[]
[Materials]
[elasticity_tensor]
type = UO2ElasticityTensor
block = '1 2 3 4 5 6 7'
temperature = temp
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[creep]
type = UO2CreepUpdate
block = '1 2 3 4 5 6 7'
temperature = temp
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
burnup_function = burnup
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = '1 2 3 4 5 6 7'
[]
[thermal]
type = HeatConductionMaterial
block = '1 2 3 4 5 6 7'
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = '1 2 3 4 5 6 7'
strain_free_density = 10431.0
[]
[]
[Dampers]
[maxY]
type = MaxIncrement
variable = disp_y
max_increment = 1e-4
[]
[maxTemp]
type = MaxIncrement
variable = temp
max_increment = 120.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 100
nl_max_its = 10
nl_rel_tol = 1e-6
nl_abs_tol = 1e-10
l_tol = 1e-6
start_time = 0.0
num_steps = 2
dt = 1e-1
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[disp_x]
type = AverageNodalVariableValue
variable = disp_x
[]
[disp_y]
type = AverageNodalVariableValue
variable = disp_y
[]
[disp_z]
type = AverageNodalVariableValue
variable = disp_z
[]
[]
(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'
[]
[]
(examples/2D-RZ_rodlet_10pellets/smeared_cracking/SmearedCracking.i)
# This model is a higher order, smeared 10 pellet fuel stack (pellet).
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
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 = 10
pellet_height = 0.01186
pellet_outer_radius = 4.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
clad_gap_width = 160.0e-6
clad_thickness = 0.56e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 2.6e-2
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e08'
y = '0 2.5e4 2.5e04'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
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'
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'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[gravity]
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
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[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
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
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]
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 = 15.5e6
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
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
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_creep]
type = UO2CreepUpdate
block = pellet
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
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
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
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
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
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
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
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y 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'
verbose = false
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
n_startup_steps = 1
end_time = 1.0e8
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[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
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[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
[]
[]
# [VectorPostprocessors]
# [clad]
# type = NodalValueSampler
# variable = disp_x
# boundary = 2
# sort_by = y
# outputs = 'outfile_clad_radial_displacement'
# []
# [pellet]
# type = NodalValueSampler
# variable = disp_x
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_radial_displacement'
# []
# []
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
# [outfile_clad_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
# [outfile_fuel_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
[]
(examples/2D-RZ_rodlet_10pellets/smeared_cracking/ADSmearedCracking.i)
# This model is a higher order, smeared 10 pellet fuel stack (pellet).
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
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 = 10
pellet_height = 0.01186
pellet_outer_radius = 4.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
clad_gap_width = 160.0e-6
clad_thickness = 0.56e-3
clad_bot_gap_height = 1.0e-3
bottom_clad_height = 2.24e-3
top_clad_height = 2.24e-3
clad_top_gap_height = 2.6e-2
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[Variables]
[temp]
initial_condition = 293.0
[]
[]
[AuxVariables]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[radial_strain]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[crack_x]
order = CONSTANT
family = MONOMIAL
[]
[crack_y]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 1.0e4 1.0e08'
y = '0 2.5e4 2.5e04'
scale_factor = 1
[]
[axial_peaking_factors]
type = ParsedFunction
expression = 1
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-200 0'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
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'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[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'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
variable = disp_y
value = -9.81
[]
[heat]
type = ADHeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADNeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet
burnup_function = burnup
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
RPF = RPF
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
[]
[]
[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
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[radial_strain]
type = ADRankTwoAux
rank_two_tensor = total_strain
variable = radial_strain
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[effective_creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
execute_on = 'linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'linear'
[]
[crack_x]
type = ADMaterialRealVectorValueAux
variable = crack_x
property = crack_damage
component = 0
block = pellet
[]
[crack_y]
type = ADMaterialRealVectorValueAux
variable = crack_y
property = crack_damage
component = 1
block = pellet
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = kinematic
model = frictionless
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
use_automatic_differentiation = true
[]
[]
[BCs]
[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]
[coolantPressure]
boundary = '1 2 3'
factor = 15.5e6
function = pressure_ramp
use_automatic_differentiation = true
[]
[]
[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
use_automatic_differentiation = true
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = '1 2 3'
variable = temp
inlet_temperature = 580
inlet_pressure = 15.5e6
inlet_massflux = 3800
rod_diameter = 0.948e-2
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
use_ad = true
[]
[]
[Materials]
[fuel_thermal]
type = ADUO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ADComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = exponential_softening
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
[]
[exponential_softening]
type = ADExponentialSoftening
[]
[fuel_creep]
type = ADUO2CreepUpdate
block = pellet
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = ADUO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
burnup_relocation_stop = 0.035
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
fuel_pin_geometry = pin_geometry
[]
[fuel_volumetric_swelling]
type = ADUO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = ADHeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ADZryCreepLimbackHoppeUpdate
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
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = ADZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[fission_gas_release]
type = ADUO2Sifgrs
block = pellet
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y 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'
verbose = false
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
n_startup_steps = 1
end_time = 1.0e8
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2e2
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2
cutback_factor = .5
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[clad_inner_vol]
type = InternalVolume
boundary = 7
execute_on = 'initial timestep_end'
[]
[pellet_volume]
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_produced]
type = ADElementIntegralFisGasGeneratedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_released]
type = ADElementIntegralFisGasReleasedSifgrs
block = pellet
execute_on = 'linear'
[]
[fis_gas_grain]
type = ADElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[fis_gas_boundary]
type = ADElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = 'linear'
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[flux_from_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
burnup_function = burnup
block = pellet
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
[]
[average_vonMises_fuel]
type = ElementAverageValue
variable = vonmises_stress
block = pellet
[]
[average_vonMises_clad]
type = ElementAverageValue
variable = vonmises_stress
block = clad
[]
[average_strain_rr_fuel]
type = ElementAverageValue
variable = radial_strain
block = pellet
[]
[average_strain_rr_clad]
type = ElementAverageValue
variable = radial_strain
block = clad
[]
[average_creep_strain_clad]
type = ElementAverageValue
variable = effective_creep_strain
block = clad
[]
[center_penetration_fuel]
type = NodalVariableValue
variable = penetration
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[center_contact_pressure_fuel]
type = NodalVariableValue
variable = contact_pressure
nodeid = 2579 # mesh dependent, at (0.0041, 0.0744)
[]
[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
[]
[]
# [VectorPostprocessors]
# [clad]
# type = NodalValueSampler
# variable = disp_x
# boundary = 2
# sort_by = y
# outputs = 'outfile_clad_radial_displacement'
# []
# [pellet]
# type = NodalValueSampler
# variable = disp_x
# boundary = 10
# sort_by = y
# outputs = 'outfile_fuel_radial_displacement'
# []
# []
[Outputs]
perf_graph = true
exodus = true
color = false
csv = true
[console]
type = Console
max_rows = 25
[]
# [outfile_clad_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
# [outfile_fuel_radial_displacement]
# type = CSV
# execute_on = 'FINAL'
# []
[]
[PerformanceMetricOutputs]
[]
(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/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'
[]
[]
(test/tests/solid_mechanics/uo2_creep/adUo2_creep.i)
# Tests material model CreepUO2 which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature and fission rate within the cube
# are uniform and constant at 1500 K and 2e18 fissios/m**3-s. The total time is
# 1e5, which is solved in 10 equal steps of 1e4.
# The small-strain anaytical solution for the total y displacement (elastic + thermal
# creep + irradiation creep) is 4.12825e-4. BISON gets 4.12910e-4 using large
# deformation solid mechanics. The difference in the two solutions is 0.021%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[temp]
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '-0.5e8 -0.5e8'
[]
[]
[Physics/SolidMechanics/QuasiStatic/system]
add_variables = true
strain = FINITE
use_automatic_differentiation = true
generate_output = 'stress_yy'
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temp
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = ADPressure
variable = disp_y
boundary = 5
function = top_pull
[]
[u_bottom_fix]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = ADDirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = ADDirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_fix]
type = ADDirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = ADUO2CreepUpdate
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'creep'
[]
[thermal]
type = ADHeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = ADStrainAdjustedDensity
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 10000
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep.i)
# Tests material model CreepUO2 which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature and fission rate within the cube
# are uniform and constant at 1500 K and 2e18 fissios/m**3-s. The total time is
# 1e5, which is solved in 10 equal steps of 1e4.
# The small-strain anaytical solution for the total y displacement (elastic + thermal
# creep + irradiation creep) is 4.12825e-4. BISON gets 4.12910e-4 using large
# deformation solid mechanics. The difference in the two solutions is 0.021%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 5
factor = -0.5e8
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 10000
[]
[Outputs]
exodus = true
[]
(examples/accident_tolerant_fuel/uo2_coated_zircaloy/uo2_coated_zircaloy.i)
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_top_gap_height = 0.026
pellet_height = 0.1186
pellet_quantity = 1
clad_bot_gap_height = 0
pellet_outer_radius = 4.1e-3
clad_gap_width = 80e-6
clad_thickness = 0.57e-3
coating_thickness = 40e-6
clad_mesh_density = customize
pellet_mesh_density = customize
nx_c = 3
ny_c = 40
nx_p = 11
ny_p = 40
nx_coating = 2
elem_type = QUAD8
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
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]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
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.'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain 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'
[]
[coating]
block = coating
strain = FINITE
eigenstrain_names = 'coating_thermal_eigenstrain'
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 = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = pellet
burnup_function = burnup
extra_vector_tags = 'ref'
[]
[]
[Burnup]
[burnup]
block = pellet
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
[]
[]
[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
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
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
[]
[total_hoop_strain]
type = RankTwoScalarAux
rank_two_tensor = total_strain
variable = total_hoop_strain
scalar_type = HoopStress
execute_on = timestep_end
[]
[creep_strain_hoop]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
scalar_type = HoopStress
block = clad
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
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
normal_smoothing_distance = 0.1
penalty = 1e7
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
contact_pressure = contact_pressure
quadrature = 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'
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 = temperature
inlet_temperature = 580
inlet_pressure = pressure_ramp
inlet_massflux = mass_flux_func
rod_diameter = 9.54e-3
rod_pitch = 1.26e-2
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
# Fuel
[fuel_thermal]
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temperature
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet
cracking_stress = 1.68e8
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_creep]
type = UO2CreepUpdate
block = pellet
burnup_function = burnup
temperature = temperature
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = 'pin_geometry'
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet
temperature = temperature
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[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_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = ${initial_fuel_density}
[]
# Clad
[clad_thermal]
type = ZryThermal
temperature = temperature
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'
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
max_inelastic_increment = 1e-4
zircaloy_material_type = stress_relief_annealed
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
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 = temperature
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
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6511.0
[]
# Coating
[coat_thermal]
type = ChromiumThermal
block = coating
temperature = temperature
[]
[coating_elasticity_tensor]
type = ChromiumElasticityTensor
temperature = temperature
block = coating
[]
[coat_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'coat_creep coat_plasticity'
block = coating
[]
[coat_creep]
type = ChromiumCreepUpdate
temperature = temperature
block = coating
[]
[coat_plasticity]
type = ChromiumPlasticityUpdate
temperature = temperature
block = coating
fast_neutron_fluence = 0.0
hardening_constant = 2e9
[]
[coat_thermal_expansion]
type = ChromiumThermalExpansionEigenstrain
block = coating
temperature = temperature
stress_free_temperature = 293.0
eigenstrain_name = coating_thermal_eigenstrain
[]
[density_coat]
type = StrainAdjustedDensity
block = coating
strain_free_density = 7190.0
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200.0
min_value = 293.0
variable = temperature
[]
[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 = 5e7
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 5e5
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2.0
timestep_limiting_postprocessor = material_timestep
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = SideAverageValue
boundary = 7
variable = temperature
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[_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 = temperature
burnup_function = burnup
block = pellet
[]
[alhr_input]
type = FunctionValuePostprocessor
function = power_history
[]
[average_burnup]
type = ElementAverageValue
block = pellet
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
csv = true
print_linear_residuals = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
(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'
[]
[]
(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
[]
[]
(test/tests/solid_mechanics/uo2_creep/adUo2_creep_rate.i)
# Tests material model CreepUO2 which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature and fission rate within the cube
# are uniform and constant at 1500 K and 2e18 fissios/m**3-s. The total time is
# 1e5, which is solved in 10 equal steps of 1e4.
# The small-strain anaytical solution for the total y displacement (elastic + thermal
# creep + irradiation creep) is 4.12825e-4. BISON gets 4.12910e-4 using large
# deformation solid mechanics. The difference in the two solutions is 0.021%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[temp]
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic/system]
add_variables = true
strain = FINITE
use_automatic_differentiation = true
generate_output = 'stress_yy'
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temp
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain
execute_on = 'TIMESTEP_END'
[]
[creep_rate]
type = ADMaterialRealAux
property = creep_rate
variable = creep_rate
execute_on = 'TIMESTEP_END'
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 5
factor = -0.5e8
function = top_pull
[]
[u_bottom_fix]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = ADDirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = ADDirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_fix]
type = ADDirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = ADUO2CreepUpdate
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ADComputeMultipleInelasticStress
## ** ## tangent_operator = elastic
inelastic_models = 'creep'
[]
[thermal]
type = ADHeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = ADStrainAdjustedDensity
strain_free_density = 10431.0
[]
[]
[Postprocessors]
[creep_strain]
type = ElementAverageValue
variable = creep_strain
[]
[creep_rate]
type = ElementAverageValue
variable = creep_rate
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 10000
[]
[Outputs]
csv = true
[]
(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'
[]
[]
(examples/2D_plane_strain_rod/planestrain.i)
initial_fuel_density = 10431.0
[GlobalParams]
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
[]
[Mesh]
patch_size = 100 # For contact algorithm
[mesh]
type = FileMeshGenerator
file = planestrain.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 580.0 # set initial temp to ambient
[]
[]
[AuxVariables]
[fission_rate]
block = pellet_type_1
[]
[burnup]
block = pellet_type_1
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '0 1e4'
y = '0 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
[]
[clad]
block = clad
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[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]
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 = 21
axial_direction = z
density = ${initial_fuel_density}
a_lower = -1e-3 # mesh dependent!
a_upper = 1e-3 # 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)
#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
RPF = RPF
[]
[]
[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
[]
[relocation_strain]
type = MaterialRealAux
property = relocation_strain
variable = relocation_strain
block = pellet_type_1
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 8
execute_on = linear
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 7
secondary = 8
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
[]
[]
[BCs]
# Define boundary conditions
[no_y_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_y
boundary = 15
value = 0.0
[]
[no_x_all] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = 16
value = 0.0
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
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_pressure = 2.0e6
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 = ConvectiveFluxBC
boundary = '2'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 580.0
final = 580.0
duration = 1.0e4 #duration of initial power ramp
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = pellet_type_1
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_solid_mechanics_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
temperature = temp
eigenstrain_name = 'fuel_volumetric_eigenstrain'
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
density = 10431.0
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 1.e20
relocation_activation1 = 5000
axial_direction = z
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[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 = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'clad_irradiation_eigenstrain'
[]
[fission_gas_release] # Forsberg-Massih fission gas release mode
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = 10.0e-6
#external_pressure = 40e6
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = 10431.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.0
variable = temp
[]
[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 = '-ksp_gmres_modifiedgramschmidt'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_composite_pcs -sub_0_pc_hypre_type -sub_0_pc_hypre_boomeramg_max_iter -sub_0_pc_hypre_boomeramg_grid_sweeps_all -sub_1_sub_pc_type -pc_composite_type -ksp_type -mat_mffd_type'
petsc_options_value = '201 composite hypre,asm boomeramg 2 2 lu multiplicative fgmres ds'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = 0.0
end_time = 1.0e6
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
time_t = '1e4 1e5 1e6'
time_dt = '1e3 1e4 1e5'
[]
dtmax = 2e6
dtmin = 1
# optimal_iterations = 6
# iteration_window = 2
# linear_iteration_ratio = 100
[Quadrature]
order = THIRD
[]
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[average_interior_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[average_centerline_fuel_temperature] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial timestep_end'
[]
[plenum_volume] # gas volume
type = InternalVolume
boundary = 9
addition = 1.3e-5 #rough guess of plenum volume/unit length of fuel
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_generated] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = linear
[]
[fission_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
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
execute_on = timestep_end
[]
[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
fission_rate = fission_rate
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_generated
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
max_rows = 25
[]
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep_x01.i)
# Tests material model CreepUO2 which computes the combined thermal
# and irradiation creep for non-stoichiometric UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature and fission rate within the cube
# are uniform and constant at 1500 K and 2e18 fissios/m**3-s. The oxygen to
# metal ratio, which strongly influences the activation energies, is set to 2.01.
# The total time is 1e3, which is solved in 10 equal steps of 1e2.
# The small-strain anaytical solution for the total y displacement (elastic + thermal
# creep + irradiation creep) is 4.620188e-4. BISON gets 4.62126e-4 using large
# deformation solid mechanics. The difference in the two solutions is 0.023%.
#
[GlobalParams]
density = 10431.0
displacements = 'x_disp y_disp z_disp'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
block = 1
add_variables = true
strain = FINITE
generate_output = 'stress_yy'
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = y_disp
boundary = 5
factor = -0.5e8
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = y_disp
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = x_disp
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = z_disp
boundary = 2
value = 0.0
[]
[temp_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.01
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 100
[]
[Outputs]
exodus = true
[]
(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'
[]
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep_irradiation.i)
# Tests material model CreepUO2, which computes the combined thermal and
# irradiation creep for UO2 fuel. This test is specifically designed
# to verify the non temperature dependent irradiation creep option, which
# differs from the original MATPRO correlation (which included temperature
# dependence via an exponential term). The material parameters for the irradiation
# creep term (code defaults) are:
#
# A7 = 7.78e-37
# Q3 = 0
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e6 Pa. The temperature and fission rate within the cube
# are uniform and constant at 600 K and 2e19 fissios/m**3-s. The total time is
# 1e6, which is solved in 10 equal steps of 1e5.
# The small-strain anaytical solution for the total y displacement at time=1e6s is:
# y_disp = elastic_component + irradiation_creep_component + thermal_creep_component
# = (uniaxial_stress/elastic_modulus)*cube_height + (A7*mises_stress*fission_rate)*time + negligible
# = (5e6/2e11)*1 + (7.78e-37*5e6*2e19)*1e6
# = 1.02800e-4.
#
# BISON gets 1.02805e-4 using large deformation solid mechanics. The difference in the two solutions is 0.005%.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 600.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e19
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 5
factor = -5e6
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_bottom_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 600.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 100000
[]
[Outputs]
exodus = true
[]
(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/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'
[]
[]
(examples/accident_tolerant_fuel/uo2_fecral/uo2_fecral.i)
initial_fuel_density = 10431.0
[GlobalParams]
# Set initial fuel density, other global parameters
density = ${initial_fuel_density}
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
displacements = 'disp_x disp_y'
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = uo2_fecral_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]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet_type_1
initial_condition = 10e-6
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_hoop]
order = CONSTANT
family = MONOMIAL
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[mass_gain]
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.'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
strain = FINITE
eigenstrain_names = 'fuel_relocation_strain fuel_thermal_strain fuel_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[clad]
block = clad
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain clad_volumetric_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
extra_vector_tags = 'ref'
temperature = temp
[]
[]
[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
[]
[]
[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
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[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
[]
[creep_strain_hoop]
type = RankTwoScalarAux
rank_two_tensor = creep_strain
variable = creep_strain_hoop
scalar_type = HoopStress
block = clad
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
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
block = clad
[]
[oxide]
type = MaterialRealAux
variable = oxide_thickness
property = scale_thickness
boundary = 2
[]
[mass_gain]
type = MaterialRealAux
variable = mass_gain
property = oxide_mass_gain
boundary = 2
[]
[]
[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]
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 = 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 = 9.5e-3 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
oxide_thickness = oxide_thickness
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet_type_1
cracking_stress = 1.68e8
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_creep]
type = UO2CreepUpdate
block = pellet_type_1
burnup_function = burnup
temperature = temp
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = 'pin_geometry'
relocation_activation1 = 5000
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_expansion]
type = UO2ThermalExpansionMATPROEigenstrain
block = pellet_type_1
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[clad_thermal]
type = FeCrAlThermal
material = C35M
block = clad
temperature = temp
[]
[clad_elasticity_tensor] # isotropic elasticity tensor for Zry cladding
type = FeCrAlElasticityTensor
temperature = temp
fecral_material_type = C35M
block = clad
[]
[clad_stress] # stress update class to govern the return mapping algorithm for creep
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_creep clad_plasticity'
block = clad
[]
[clad_creep]
type = FeCrAlCreepUpdate
block = clad
temperature = temp
fecral_material_type = C35M
fast_neutron_flux = fast_neutron_flux
model_irradiation_creep = true
model_thermal_creep = true
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = FeCrAlThermalExpansionEigenstrain
block = clad
temperature = temp
fecral_material_type = C35M
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[irradiation_swelling]
type = FeCrAlVolumetricSwellingEigenstrain
block = clad
temperature = temp
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_volumetric_strain
[]
[clad_plasticity]
type = FeCrAlPlasticityUpdate
block = clad
hardening_constant = 2.5e9
temperature = temp
yield_stress = 500.0
[]
[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 = 7250.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[failure_criterion]
type = FeCrAlCladdingFailure
boundary = '2 5'
hoop_stress = hoop_stress
failure_criterion = UTS
temperature = temp
[]
[oxidation]
type = FeCrAlOxidation
reactor_type = PWR
boundary = 2
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
max_value = 3200.0
min_value = 293.0
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 = 1e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
force_step_every_function_point = true
timestep_limiting_function = power_history
max_function_change = 5e5
optimal_iterations = 10
iteration_window = 2
linear_iteration_ratio = 100
growth_factor = 2.0
timestep_limiting_postprocessor = material_timestep
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[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'
[]
[_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
[]
[alhr_input]
type = FunctionValuePostprocessor
function = power_history
[]
[average_burnup]
type = ElementAverageValue
block = pellet_type_1
variable = burnup
[]
[oxide_thickness]
type = ElementExtremeValue
block = clad
variable = oxide_thickness
[]
[mass_gain]
type = ElementExtremeValue
block = clad
variable = mass_gain
[]
[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
csv = true
print_linear_residuals = true
color = false
[console]
type = Console
max_rows = 25
[]
[]
(examples/2D_plane_strain_fretting_wear/fretting-wear-initial-dyn-exc.i)
user_start_time = 1.0e5
user_end_time = 1.000002e5
end_dynamic_excitation = 1.000002e5
time_step_dynamics = 2.0e-3
step_number = 1
initial_fuel_density = 10431.0
[GlobalParams]
temperature = temp
displacements = 'disp_x disp_y'
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
[file]
type = FileMeshGenerator
file = fretting-wear-initial_out_cp/LATEST
skip_partitioning = true
allow_renumbering = false
[]
patch_size = 100 # For contact algorithm
[]
[Variables]
[temp]
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y '
converge_on = 'disp_x disp_y temp'
restart_file_base = ./fretting-wear-initial_out_cp/LATEST
material_coverage_check = false
kernel_coverage_check = false
[]
[AuxVariables]
[fission_rate]
block = pellet_type_1
[]
[burnup]
block = pellet_type_1
[]
[fast_neutron_flux]
block = 'clad grid'
[]
[fast_neutron_fluence]
block = 'clad grid'
[]
[relocation_strain]
order = CONSTANT
family = MONOMIAL
[]
[worn_depth]
order = FIRST
family = LAGRANGE
block = 'spacer_clad_mechanical_secondary_subdomain'
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear # reads and interpolates an input file containing rod average linear power vs time
data_file = powerhistory.csv
scale_factor = 1
[]
[axial_peaking_factors]
type = ConstantFunction
value = 1
[]
[pressure_var] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = PiecewiseLinear
x = '0 1e4'
y = '0 1'
[]
[pressure_var_variable] # reads and interpolates input data defining amplitude curve for fill gas pressure
type = ParsedFunction
expression = 'if(t < 1e4, 1, 1 + sin((t-1e4)*pi/10.0) * (t-1e4))'
[]
[]
[Physics/SolidMechanics/Dynamic]
[pellets]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = pellet_type_1
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'fuel_relocation_eigenstrain fuel_thermal_eigenstrain
fuel_volumetric_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[clad]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = clad
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'clad_thermal_eigenstrain clad_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[grid]
add_variables = true
newmark_beta = 0.25
newmark_gamma = 0.5
block = grid
strain = FINITE
planar_formulation = PLANE_STRAIN
eigenstrain_names = 'grid_thermal_eigenstrain grid_irradiation_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz'
decomposition_method = EigenSolution
temperature = temp
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
block = 'pellet_type_1 clad grid'
extra_vector_tags = 'ref'
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
block = 'pellet_type_1 clad'
extra_vector_tags = 'ref'
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[spacer_clad_mechanical]
formulation = mortar
model = coulomb
primary = 101
secondary = 102
c_normal = 1e+12 # 5e13
c_tangential = 1e+18
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
normal_lm_scaling = 1.0e-6
tangential_lm_scaling = 1.0e-6
generate_mortar_mesh = false
wear_depth = worn_depth
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical_real]
formulation = mortar
model = frictionless
primary = 7
secondary = 8
c_normal = 1e+16 #
c_tangential = 1e+16
friction_coefficient = 0.4
# Do not apply dynamic stabilization
newmark_beta = 0.0001
newmark_gamma = 0.5
capture_tolerance = 0.0
mortar_dynamics = true
interpolate_normals = false
generate_mortar_mesh = false
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temp
primary_boundary = 7
secondary_boundary = 8
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
primary_subdomain = 'pellet_clad_mechanical_real_primary_subdomain'
secondary_subdomain = 'pellet_clad_mechanical_real_secondary_subdomain'
[]
[]
[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 = 21
axial_axis = 2
density = ${initial_fuel_density}
a_lower = -1e-3 # mesh dependent!
a_upper = 1e-3 # 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)
#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
RPF = RPF
[]
[]
[AuxKernels]
# Define auxilliary kernels for each of the aux variables
[worn_depth]
type = MortarArchardsLawAux
variable = worn_depth
primary_boundary = 101
secondary_boundary = 102
primary_subdomain = 'spacer_clad_mechanical_primary_subdomain'
secondary_subdomain = 'spacer_clad_mechanical_secondary_subdomain'
displacements = 'disp_x disp_y'
friction_coefficient = 0.5
energy_wear_coefficient = 0.1e-9
normal_pressure = spacer_clad_mechanical_normal_lm
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
[]
[relocation_strain]
type = MaterialRealAux
property = relocation_strain
variable = relocation_strain
block = pellet_type_1
execute_on = timestep_end
[]
[]
[BCs]
# Define boundary conditions
[no_y_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_y
boundary = 15
value = 0.0
[]
[no_x_all] # pin pellets and clad along axis of symmetry (x)
type = DirichletBC
variable = disp_x
boundary = 16
value = 0.0
[]
# Flow-induced vibrations refined_excitation
[vibration_x] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = disp_x
boundary = '112'
expression = 'if(t < ${end_dynamic_excitation}, 10.0*1.0e-6*sin(2*3.1415926535*20* (t - ${user_start_time})) + 2.0*1.0e-6*sin(2*3.1415926535*35*(t - ${user_start_time})), 0)'
#expression = '0'
[]
[vibration_y] # pin pellets and clad along axis of symmetry (y)
type = FunctionDirichletBC
variable = disp_y
boundary = '112'
expression = 'if(t < ${end_dynamic_excitation}, 10.0*1.0e-6*sin(2*3.1415926535*20*(t-${user_start_time})) + 2.0*1.0e-6*sin(2*3.1415926535*35*(t-${user_start_time})) + 0.9e-4, 0.9e-4)'
#expression = '5.9e-4'
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '2'
factor = 15.5e6
function = pressure_var # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
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 = ConvectiveFluxBC
boundary = '2'
variable = temp
rate = 38200.0 #convection coefficient (h)
initial = 580.0
final = 580.0
duration = 1.0e4 #duration of initial power ramp
[]
[]
[Materials]
# Define material behavior models and input material property data
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2 (BISON kernel)
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = pellet_type_1
temperature = temp
burnup = burnup
initial_porosity = 0.0
[]
[fuel_solid_mechanics_swelling] # free expansion strains (swelling and densification) for UO2 (BISON kernel)
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = MATPRO
block = pellet_type_1
burnup = burnup
initial_fuel_density = 10431.0
temperature = temp
eigenstrain_name = 'fuel_volumetric_eigenstrain'
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
density = 10431.0
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'pellet_type_1'
youngs_modulus = 906e6
poissons_ratio = 0.345
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'fuel_thermal_eigenstrain'
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.0082
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =160e-6
burnup_relocation_stop = 1.e20
relocation_activation1 = 5000
axial_axis = 2
eigenstrain_name = 'fuel_relocation_eigenstrain'
[]
[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 = ZryCreepHayesHoppeUpdate
block = clad
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[clad_stress]
type = ComputeMultipleInelasticStress
block = clad
tangent_operator = elastic
inelastic_models = 'clad_creep_model'
[]
[clad_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[clad_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'clad_irradiation_eigenstrain'
[]
[grid_thermal]
type = HeatConductionMaterial
block = 'grid'
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[grid_elasticity_tensor]
type = ZryElasticityTensor
block = 'grid'
[]
[grid_creep_model]
type = ZryCreepHayesHoppeUpdate
block = 'grid'
fast_neutron_flux = fast_neutron_flux
temperature = temp
zircaloy_material_type = stress_relief_annealed
model_irradiation_creep = true
model_thermal_creep = true
[]
[grid_stress]
type = ComputeMultipleInelasticStress
block = 'grid'
tangent_operator = elastic
inelastic_models = 'grid_creep_model'
[]
[grid_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'grid'
thermal_expansion_coeff = 5.0e-6
temperature = temp
stress_free_temperature = 580.0
eigenstrain_name = 'grid_thermal_eigenstrain'
[]
[grid_irrgrowth]
type = ZryIrradiationGrowthEigenstrain
block = grid
fast_neutron_fluence = fast_neutron_fluence
axial_direction = 2
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = 'grid_irradiation_eigenstrain'
[]
[fission_gas_release] # Forsberg-Massih fission gas release mode
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
grain_radius = 10.0e-6
#external_pressure = 40e6
[]
[clad_density]
type = StrainAdjustedDensity
block = 'clad'
density = 6551.0
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431.0
[]
[grid]
type = StrainAdjustedDensity
block = grid
density = 6560
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
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-6 NONZERO 1e-14'
snesmf_reuse_base = true
line_search = 'basic'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 35
nl_rel_tol = 1e-7
nl_abs_tol = 1e-11
[TimeIntegrator]
type = NewmarkBeta
beta = 0.25
gamma = 0.5
[]
start_time = '${user_start_time}'
end_time = '${user_end_time}'
timestep_tolerance = 1e-8
[TimeStepper]
type = IterationAdaptiveDT
dt = '${time_step_dynamics}'
time_t = '${end_dynamic_excitation}'
time_dt = '${time_step_dynamics}'
growth_factor = 1.2
cutback_factor = 0.75
[]
dtmax = 3e-2
[]
[Postprocessors]
# Define postprocessors (some are required as specified above; others are optional; many others are available)
[average_interior_clad_temperature] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[average_centerline_fuel_temperature] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[plenum_temperature]
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial timestep_end'
[]
[plenum_volume] # gas volume
type = InternalVolume
boundary = 9
addition = 1.3e-5 #rough guess of plenum volume/unit length of fuel
execute_on = 'initial linear'
[]
[pellet_volume] # fuel pellet total volume
type = InternalVolume
boundary = 8
execute_on = 'initial timestep_end'
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
outputs = exodus
execute_on = 'initial timestep_end'
[]
[fission_gas_generated] # fission gas produced (moles)
type = ElementIntegralFisGasGeneratedSifgrs
block = pellet_type_1
execute_on = linear
[]
[fission_gas_released] # fission gas released to plenum (moles)
type = ElementIntegralFisGasReleasedSifgrs
block = pellet_type_1
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
execute_on = timestep_end
[]
[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
fission_rate = fission_rate
block = pellet_type_1
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.1186 # rod height
execute_on = timestep_end
[]
[fission_gas_released_percentage]
type = FGRPercent
fission_gas_released = fission_gas_released
fission_gas_generated = fission_gas_generated
[]
[]
[VectorPostprocessors]
[contact_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_normal_lm
boundary = 102
[]
[frictional_pressure]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = spacer_clad_mechanical_tangential_lm
boundary = 102
[]
[worn_depth]
type = NodalValueSampler
sort_by = x
use_displaced_mesh = true
variable = worn_depth
boundary = 102
execute_on = TIMESTEP_END
[]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
execute_on = 'FINAL'
[console]
type = Console
max_rows = 25
[]
checkpoint = true
file_base = 'step_${step_number}'
[]
(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'
[]
[]
(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/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'
[]
[]
(test/tests/solid_mechanics/uo2_creep/adUo2_creep_rz.i)
# Tests material model CreepUO2RZ which computes the combined thermal
# and irradiation creep for UO2 fuel for an axisymmetric geometry.
#
# The test is a single unit element with an initial inner radius of 1. The element
# is pulled along the symmetric axis (y) with a pressure of 5.0e7 Pa. The
# temperature and fission rate are uniform and constant at 1500 K and 2e18
# fissios/m**3-s. The total time is 1e5, which is solved in 10 equal steps of 1e4.
# The small-strain anaytical solution for the total axial displacement (elastic + thermal
# creep + irradiation creep) is 4.12825e-4. BISON also gets 4.12825e-4 since, for this
# test, small-strain mechanics was used.
#
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = FileMeshGenerator
file = 1x1_rz.e
[]
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '-0.5e8 -0.5e8'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
incremental = true
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temp
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[strain_xx]
type = ADRankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
[]
[strain_yy]
type = ADRankTwoAux
rank_two_tensor = total_strain
variable = strain_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[Pressure]
[u_top_pull]
boundary = 4
function = top_pull
[]
[]
[u_bottom_fix]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[temp_fix]
type = ADDirichletBC
variable = temp
boundary = 3
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = ADUO2CreepUpdate
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'creep'
[]
[thermal]
type = ADHeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = ADStrainAdjustedDensity
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 10000
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/uo2_hotpressing/hotpressing_creep_plasticity.i)
#=============================================================================================
# This case is prepared for testing hotpressing driven by combined creep and plasticity for UO2
#
#
# The test is a single element with an initial inner radius of 1, outer radius of 2,
# and a height of 1 under RZ coordinate system.
#
# Input condition
# ===============
#
# Fission density = 2e18 fissios/m**3-s
# Const. temperature = 1500 K
#
# Material property
# =================
# Fuel density = 95% TD
# Fuel grain radius = 10 micron
#
# B.C.
# ====
# Top surface of the element is compressed.
# Roller at the bottom with zero axial displacement.
#
#
# Results:
#
#
# Analytical BISON
# --------------------------------------------------------
# Axial creep strain -5.40e-4 -5.4024e-4
# Axial elastic strain -4.9088e-4 -4.90915e-4
# Axial plastic strain -4.46912e-3 -4.467369e-3
# Axial stress (Pa) -9.8176e7 -9.8183e7
# Plastic volumetric strain 1.61e76e-3 -1.611369e-3
#
# Notes: uniaxial load, sigma_y = sigma_y/sqrt(1+3*alpha)
# ep_v / (ep_y - ep_v/3) = 1.5*sqrt(6*alpha)
# sigma_y --> ec, ee
# ep = et - ec - ee
#
#==============================================================================================
[GlobalParams]
density = 10431.0
displacements = 'disp_r disp_z'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = FileMeshGenerator
file = 1x1_rz_rev1.e
[]
[]
[Variables]
[disp_r]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[yield_stress]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 100000'
y = '-0.5e-3 -5.5e-3'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
incremental = true
strain = small
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[yield_stress]
type = MaterialRealAux
variable = yield_stress
property = yield_stress
[]
[plastic_strain_xx]
type = RankTwoAux
variable = plastic_strain_xx
rank_two_tensor = plastic_strain
index_i = 0
index_j = 0
[]
[plastic_strain_yy]
type = RankTwoAux
variable = plastic_strain_yy
rank_two_tensor = plastic_strain
index_i = 1
index_j = 1
[]
[plastic_strain_zz]
type = RankTwoAux
variable = plastic_strain_zz
rank_two_tensor = plastic_strain
index_i = 2
index_j = 2
[]
[plastic_strain_xy]
type = RankTwoAux
variable = plastic_strain_xy
rank_two_tensor = plastic_strain
index_i = 0
index_j = 1
[]
[plastic_strain_yz]
type = RankTwoAux
variable = plastic_strain_yz
rank_two_tensor = plastic_strain
index_i = 1
index_j = 2
[]
[plastic_strain_zx]
type = RankTwoAux
variable = plastic_strain_zx
rank_two_tensor = plastic_strain
index_i = 2
index_j = 0
[]
[creep_strain_yy]
type = RankTwoAux
variable = creep_strain_yy
rank_two_tensor = creep_strain
index_i = 1
index_j = 1
[]
[elastic_strain_yy]
type = RankTwoAux
variable = elastic_strain_yy
rank_two_tensor = elastic_strain
index_i = 1
index_j = 1
[]
[total_strain_yy]
type = RankTwoAux
variable = total_strain_yy
rank_two_tensor = total_strain
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = FunctionDirichletBC
variable = disp_z
boundary = '2 3'
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_z
boundary = '1 4'
value = 0.0
[]
[temp_fix]
type = DirichletBC
variable = temp
boundary = '1 2 3 4'
value = 1500.0
[]
[]
[Materials]
[plasticity]
type = UO2HotPressingPlasticityUpdate
block = 1
input_yield_stress = 100e6
input_hardening_modulus = 0
input_hotpressing = true
hotpressing_alpha = 0.0125
model_hotpressing = true
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[hotpressing]
type = UO2HotPressingCreepUpdate
block = 1
base_name = hp
temperature = temp
input_hotpressing = true
hotpressing_nu = 0.01
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep hotpressing plasticity'
block = 1
max_iterations = 30
relative_tolerance = 1e-7
absolute_tolerance = 1e-7
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2.0e11
poissons_ratio = 0.319
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550
[]
[]
[Postprocessors]
[elem_yield_stress]
type = ElementalVariableValue
variable = yield_stress
elementid = 0
[]
[elem_stress_yy]
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[elem_plastic_strain_xx]
type = ElementalVariableValue
variable = plastic_strain_xx
elementid = 0
[]
[elem_plastic_strain_yy]
type = ElementalVariableValue
variable = plastic_strain_yy
elementid = 0
[]
[elem_creep_strain_yy]
type = ElementalVariableValue
variable = creep_strain_yy
elementid = 0
[]
[elem_total_strain_yy]
type = ElementalVariableValue
variable = total_strain_yy
elementid = 0
[]
[elem_elastic_strain_yy]
type = ElementalVariableValue
variable = elastic_strain_yy
elementid = 0
[]
[elem_plastic_strain_zz]
type = ElementalVariableValue
variable = plastic_strain_zz
elementid = 0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 20
nl_rel_tol = 1e-16
nl_abs_tol = 1e-5
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dtmin = 10000
dt = 10000
[]
[Outputs]
csv = true
[out]
type = Exodus
[]
[]
(test/tests/solid_mechanics/uo2_mechanics/uo2_creep_matpro_ym.i)
# Tests material model UO2CreepUpdate, which computes the combined thermal
# and irradiation creep for UO2 fuel.
#
# The test is a single element unit cube which is pulled in the y direction
# with a pressure of 5.0e7 Pa. The temperature is ramped up and the fission
# rate within the cube is constant.
# MATPRO is used to calculate Young's modulus. Young's modulus decreases with
# temperature, and the displacements increase accordingly.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = patch.e
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 300.0
scaling = 1e7
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[power]
type = ParsedFunction
expression = 2.5e4
[]
[temp]
type = ParsedFunction
expression = 300+1.2e3*t
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[all]
strain = FINITE
incremental = true
add_variables = true
generate_output = 'stress_yy'
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[Burnup]
[burnup]
block = '1 2 3 4 5 6 7'
order = FIRST
family = LAGRANGE
rod_ave_lin_pow = power
num_radial = 11
num_axial = 2
a_lower = 0
a_upper = .00041
fuel_inner_radius = 0
fuel_outer_radius = .0041
fuel_volume_ratio = 1
rpf_active = false
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = 11
factor = -0.5e8
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 9
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 10
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 14
value = 0.0
[]
[temp]
type = FunctionDirichletBC
variable = temp
boundary = '9 11'
function = temp
[]
[]
[Materials]
[elasticity_tensor]
type = UO2ElasticityTensor
block = '1 2 3 4 5 6 7'
temperature = temp
matpro_youngs_modulus = true
matpro_poissons_ratio = false
[]
[creep]
type = UO2CreepUpdate
block = '1 2 3 4 5 6 7'
temperature = temp
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
burnup_function = burnup
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = '1 2 3 4 5 6 7'
[]
[thermal]
type = HeatConductionMaterial
block = '1 2 3 4 5 6 7'
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = '1 2 3 4 5 6 7'
strain_free_density = 10431.0
[]
[]
[Dampers]
[maxY]
type = MaxIncrement
variable = disp_y
max_increment = 1e-4
[]
[maxTemp]
type = MaxIncrement
variable = temp
max_increment = 120.0
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
l_max_its = 100
nl_max_its = 10
nl_rel_tol = 1e-6
l_tol = 1e-5
start_time = 0.0
end_time = 1
dt = 1e-1
[Predictor]
type = SimplePredictor
scale = 1.0
[]
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/uo2_hotpressing/creep_plasticity.i)
#===========================================================================================
# This case is prepared for testing combined creep and plasticity for UO2.
#
# The test is a single element with an initial inner radius of 1, outer radius of 2,
# and a height of 1 under RZ coordinate system.
#
# Input condition
# ===============
#
# Fission density = 2e18 fissios/m**3-s
# Const. temperature = 1500 K
#
# Material property
# =================
# Fuel density = 95% TD
# Fuel grain radius = 10 micron
#
# B.C.
# ====
# Top surface of the element is pulled.
# Roller at the bottom with zero axial displacement.
#
#
# Results:
#
#
# Analytical BISON
# -------------------------------------------------
# Creep strain 5.67e-4 5.666737e-4
# Elastic strain 5.0e-4 5.000000e-4
# Plastic strain 4.43e-3 4.433326e-4
#
#
#============================================================================================
[GlobalParams]
density = 10431.0
displacements = 'disp_r disp_z'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = FileMeshGenerator
file = 1x1_rz_rev1.e
[]
[]
[Variables]
[disp_r]
order = FIRST
family = LAGRANGE
[]
[disp_z]
order = FIRST
family = LAGRANGE
[]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[yield_stress]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[plastic_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 100000'
y = '0.5e-3 5.5e-3'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
incremental = true
strain = small
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[yield_stress]
type = MaterialRealAux
variable = yield_stress
property = yield_stress
[]
[plastic_strain_xx]
type = RankTwoAux
variable = plastic_strain_xx
rank_two_tensor = plastic_strain
index_i = 0
index_j = 0
[]
[plastic_strain_yy]
type = RankTwoAux
variable = plastic_strain_yy
rank_two_tensor = plastic_strain
index_i = 1
index_j = 1
[]
[plastic_strain_zz]
type = RankTwoAux
variable = plastic_strain_zz
rank_two_tensor = plastic_strain
index_i = 2
index_j = 2
[]
[plastic_strain_xy]
type = RankTwoAux
variable = plastic_strain_xy
rank_two_tensor = plastic_strain
index_i = 0
index_j = 1
[]
[plastic_strain_yz]
type = RankTwoAux
variable = plastic_strain_yz
rank_two_tensor = plastic_strain
index_i = 1
index_j = 2
[]
[plastic_strain_zx]
type = RankTwoAux
variable = plastic_strain_zx
rank_two_tensor = plastic_strain
index_i = 2
index_j = 0
[]
[creep_strain_yy]
type = RankTwoAux
variable = creep_strain_yy
rank_two_tensor = creep_strain
index_i = 1
index_j = 1
[]
[elastic_strain_yy]
type = RankTwoAux
variable = elastic_strain_yy
rank_two_tensor = elastic_strain
index_i = 1
index_j = 1
[]
[total_strain_yy]
type = RankTwoAux
variable = total_strain_yy
rank_two_tensor = total_strain
index_i = 1
index_j = 1
[]
[]
[BCs]
[u_top_pull]
type = FunctionDirichletBC
variable = disp_z
boundary = '2 3'
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_z
boundary = '1 4'
value = 0.0
[]
[temp_fix]
type = DirichletBC
variable = temp
boundary = '1 2 3 4'
value = 1500.0
[]
[]
[Materials]
[plasticity]
type = UO2HotPressingPlasticityUpdate
block = 1
input_yield_stress = 100e6
input_hardening_modulus = 0
model_hotpressing = false
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep plasticity'
block = 1
relative_tolerance = 1e-7
absolute_tolerance = 1e-7
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2.0e11
poissons_ratio = 0.3
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550
[]
[]
[Postprocessors]
[elem_yield_stress]
type = ElementalVariableValue
variable = yield_stress
elementid = 0
[]
[elem_stress_yy]
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[elem_plastic_strain_xx]
type = ElementalVariableValue
variable = plastic_strain_xx
elementid = 0
[]
[elem_plastic_strain_yy]
type = ElementalVariableValue
variable = plastic_strain_yy
elementid = 0
[]
[elem_creep_strain_yy]
type = ElementalVariableValue
variable = creep_strain_yy
elementid = 0
[]
[elem_total_strain_yy]
type = ElementalVariableValue
variable = total_strain_yy
elementid = 0
[]
[elem_elastic_strain_yy]
type = ElementalVariableValue
variable = elastic_strain_yy
elementid = 0
[]
[elem_plastic_strain_zz]
type = ElementalVariableValue
variable = plastic_strain_zz
elementid = 0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 20
nl_rel_tol = 1e-16
nl_abs_tol = 1e-5
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dtmin = 10000
dt = 10000
[]
[Outputs]
csv = true
[out]
type = Exodus
[]
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep_smeared_cracking.i)
# Tests material model CreepUO2, which computes the combined thermal
# and irradiation creep for UO2 fuel, in conjunction with smeared cracking
#
# This test is based on uo2_creep.i. It is a single element unit cube which
# is pulled in the y direction using the displacement history obtained from the
# response of uo2_creep_test.i under a pressure of 50 MPa. During this phase,
# the recovered stress is almost exactly 50 MPa. Starting at time 100000, the
# displacement is rapidly increased, resulting in cracking. At that point,
# the creep model is de-activated. The creep strains are frozen, and the model
# follows the softening law of the smeared cracking model.
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
[]
[Mesh]
[mesh]
type = FileMeshGenerator
file = 1x1x1_cube.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[crack_flags3]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
xy_data = '0.0000000E+000 0.0000000E+000
1.0000000E+004 2.6631798E-004
2.0000000E+004 2.8260494E-004
3.0000000E+004 2.9889218E-004
4.0000000E+004 3.1517967E-004
5.0000000E+004 3.3146743E-004
6.0000000E+004 3.4775546E-004
7.0000000E+004 3.6404375E-004
8.0000000E+004 3.8033231E-004
9.0000000E+004 3.9662113E-004
1.0000000E+005 4.1291022E-004
1.0004000E+005 12.1291022E-004'
[]
[time_function]
type = PiecewiseLinear
x = '0 100000 100001 200000'
y = '10000 10000 1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = finite
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
[]
[crack_3]
type = MaterialRealVectorValueAux
property = crack_flags
variable = crack_flags3
component = 2
[]
[]
[BCs]
[u_top_pull]
type = FunctionDirichletBC
variable = disp_y
boundary = 5
function = top_pull
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[]
[u_xy_fix]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0.0
[]
[temp_top_fix]
type = DirichletBC
variable = temp
boundary = '3 5'
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[fuel_stress]
type = ComputeSmearedCrackingStress
cracking_stress = 130e6
shear_retention_factor = 0.05
# max_stress_correction = 0.0
inelastic_models = 'creep'
block = 1
softening_models = exponential_softening
cracked_elasticity_type = DIAGONAL
[]
[exponential_softening]
type = ExponentialSoftening
[]
# [radial_return_stress]
# type = ComputeMultipleInelasticStress
# tangent_operator = elastic
# inelastic_models = 'creep'
# block = 1
# []
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-4
l_tol = 1e-5
start_time = 0.0
dt = 10000
end_time = 100040
[TimeStepper]
type = FunctionDT
function = time_function
[]
[]
[Outputs]
exodus = true
[]
(assessment/LWR/validation/US_PWR_16_x_16/analysis/TSQ002/cracking/TSQ002_cracking.i)
initial_fuel_density = 10431
[GlobalParams]
density = ${initial_fuel_density} #95% of TD (TD assumed to be 10980)
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = tsq002_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.0
[]
[]
[AuxVariables]
[grain_radius]
block = pellet_type_1
initial_condition = 8.7945e-6 # ((11.6+11.2+11.2+11.1)/4)/2*1.56
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = TSQ002_alhr.csv
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = TSQ002_alhr_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[pressure_ramp]
type = PiecewiseLinear
x = '-100 0 141798626 141802226' # -100 @ 101326 Pa, 0 to 141798626 @ 15.517 MPa, 141802226 @ 101326 Pa
y = '.00653 1 1 .00653'
[]
[flux]
type = PiecewiseLinear
data_file = TSQ002_fast_flux.csv
format = columns
[]
[clad_wall_temp]
type = PiecewiseLinear
data_file = TSQ002_clad_temp.csv
format = columns
[]
[axial_clad_peaking]
type = PiecewiseBilinear
data_file = TSQ002_clad_peaking.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_bc]
type = CompositeFunction
functions = 'clad_wall_temp axial_clad_peaking'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet_type_1
add_variables = false
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
add_variables = false
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'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
extra_vector_tags = 'ref'
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
block = pellet_type_1
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
a_lower = 0.00324
a_upper = 3.81705
fuel_outer_radius = 0.0041275
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0348 0.9652 0 0 0 0'
RPF = RPF
[]
[]
[AuxKernels]
[GrainRadiusAux]
block = pellet_type_1
execute_on = linear
temperature = temp
type = GrainRadiusAux
variable = grain_radius
[]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
function = flux
factor = 1
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
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
formulation = penalty
penalty = 1e9
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
secondary = 10
initial_moles = initial_moles
primary = 5
gas_released = fission_gas_released
variable = temp
tangential_tolerance = 1e-6
roughness_coef = 3.2
roughness_secondary = 1e-6
roughness_primary = 2e-6
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[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
[]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temp
boundary = '1 2 3'
function = clad_bc
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 15.517e6
function = pressure_ramp
displacements = 'disp_x disp_y'
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.62e6
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'
[]
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
temperature = temp
burnup = burnup
thermal_conductivity_model = NFIR
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet_type_1
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[elastic_stress]
type = ComputeSmearedCrackingStress
block = pellet_type_1
cracking_stress = 1.68e8
inelastic_models = 'fuel_creep'
softening_models = 'power_law_softening'
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
prescribed_crack_directions = 'x y z'
output_properties = crack_damage
outputs = exodus
[]
[power_law_softening]
type = PowerLawSoftening
stiffness_reduction = 0.3333
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 8.7945e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup = burnup
diameter = 0.008255
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
diametral_gap =0.0001778 #diameteral gap
relocation_activation1 = 5000
burnup_relocation_stop = 0.024
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0
eigenstrain_name = fuel_volumetric_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
initial_porosity = 0.05
burnup = burnup
gbs_model = true
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
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 = 300.0
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 = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 20.0
variable = temp
[]
[jacobian]
type = ElementJacobianDamper
max_increment = 0.1
min_damping = 0
[]
[]
[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-4
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
start_time = -100
end_time = 141802226 #141798626+3600
dtmax = 1e6
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 100
iteration_window = 2
optimal_iterations = 10
linear_iteration_ratio = 100
[]
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Postprocessors]
[max_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[min_fuel_temp]
type = NodalExtremeValue
block = pellet_type_1
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
outputs = exodus
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet_type_1
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
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = pellet_type_1
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.81381 # rod height
[]
[average_fission_rate]
type = ElementAverageValue
variable = fission_rate
block = pellet_type_1
[]
[FCT]
type = NodalVariableValue
nodeid = 30330 #coords (0.0, 2.10133)
variable = temp
execute_on = 'initial timestep_end'
[]
[FCT_slice4]
type = NodalVariableValue
nodeid = 37085 #coords (0.0, 1.71896)
variable = temp
execute_on = 'initial timestep_end'
[]
[vonmises_stress_fuel]
type = ElementAverageValue
block = pellet_type_1
variable = vonmises_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
## Nodal comparison values
[gap_slice6]
type = NodalVariableValue
variable = penetration
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[gap]
type = NodalVariableValue
variable = penetration
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[gap_slice4]
type = NodalVariableValue
variable = penetration
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[contact_pressure_slice6]
type = NodalVariableValue
variable = contact_pressure
nodeid = 23579 #coords (0.0041275, 2.48172)
[]
[contact_pressure]
type = NodalVariableValue
variable = contact_pressure
nodeid = 30299 #coords (0.0041275, 2.10133)
[]
[contact_pressure_slice4]
type = NodalVariableValue
variable = contact_pressure
nodeid = 37054 #coords (0.0041275, 1.71896)
[]
[]
[StandardLWRFuelRodOutputs]
temperature = temp
fuel_pellet_blocks = pellet_type_1
[]
[PerformanceMetricOutputs]
[]
[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 FCT rod_total_power'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/Riso_GE7_ZX115/analysis/cracking_creep/Riso_GE7_smeared_cracking_creep.i)
!include ../Riso_GE7_smeared.i
[Materials]
active = 'fuel_thermal fuel_elastic_stress power_law_softening fuel_creep fuel_elasticity_tensor fuel_thermal_eigenstrain fuel_swelling fuel_relocation fission_gas_release fuel_density clad_elasticity_tensor clad_inelastic_stress clad_creep clad_thermal_eigenstrain clad_irradiation_growth_eigenstrain clad_density clad_thermal'
[fuel_elastic_stress]
type = ComputeSmearedCrackingStress
block = ${blocks_fuel}
cracking_stress = 1.5e8
inelastic_models = 'fuel_creep'
softening_models = 'power_law_softening'
shear_retention_factor = 0.1
max_stress_correction = 0
cracked_elasticity_type = DIAGONAL
output_properties = crack_damage
outputs = exodus
[]
[power_law_softening]
type = PowerLawSoftening
stiffness_reduction = 0.3333
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
burnup_function = burnup
temperature = temperature
initial_grain_radius = ${initial_grain_radius}
oxygen_to_metal_ratio = 2.0
[]
[]
(test/tests/solid_mechanics/uo2_creep/uo2_creep_rz.i)
# Tests material model CreepUO2RZ which computes the combined thermal
# and irradiation creep for UO2 fuel for an axisymmetric geometry.
#
# The test is a single unit element with an initial inner radius of 1. The element
# is pulled along the symmetric axis (y) with a pressure of 5.0e7 Pa. The
# temperature and fission rate are uniform and constant at 1500 K and 2e18
# fissios/m**3-s. The total time is 1e5, which is solved in 10 equal steps of 1e4.
# The small-strain anaytical solution for the total axial displacement (elastic + thermal
# creep + irradiation creep) is 4.12825e-4. BISON also gets 4.12825e-4 since, for this
# test, small-strain mechanics was used.
#
[GlobalParams]
density = 10431.0
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
use_displaced_mesh = false
[mesh]
type = FileMeshGenerator
file = 1x1_rz.e
[]
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 1500.0
[]
[]
[AuxVariables]
[fission_rate]
order = FIRST
family = LAGRANGE
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[top_pull]
type = PiecewiseLinear
x = '0 1'
y = '1 1'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = small
incremental = true
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[]
[AuxKernels]
[fissionrate]
type = FissionRateGeneral
fission_rate_formulation = GENERIC
variable = fission_rate
value = 2.0e18
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yy
index_i = 1
index_j = 1
[]
[]
[BCs]
[Pressure]
[u_top_pull]
boundary = 4
factor = -0.5e8
function = top_pull
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[]
[temp_fix]
type = DirichletBC
variable = temp
boundary = 3
value = 1500.0
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 2e11
poissons_ratio = 0.3
[]
[creep]
type = UO2CreepUpdate
block = 1
temperature = temp
fission_rate = fission_rate
initial_grain_radius = 10.0e-6
oxygen_to_metal_ratio = 2.0
a7 = 3.72264e-35
q3 = 2617
[]
[radial_return_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'creep'
block = 1
[]
[thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 10431.0
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
num_steps = 10
dt = 10000
[]
[Outputs]
exodus = true
[]
(include/materials/solid_mechanics/UO2HotPressingCreepUpdate.h)
/*************************************************/
/* DO NOT MODIFY THIS HEADER */
/* */
/* BISON */
/* */
/* (c) 2015 Battelle Energy Alliance, LLC */
/* ALL RIGHTS RESERVED */
/* */
/* Prepared by Battelle Energy Alliance, LLC */
/* Under Contract No. DE-AC07-05ID14517 */
/* With the U. S. Department of Energy */
/* */
/* See COPYRIGHT for full restrictions */
/*************************************************/
#pragma once
#include "UO2CreepUpdate.h"
class UO2HotPressingCreepUpdate : public UO2CreepUpdate
{
public:
static InputParameters validParams();
UO2HotPressingCreepUpdate(const InputParameters & params);
protected:
Real _hotpressing_nu;
const bool _has_input_hotpressing_parameter;
const bool _dbg_output;
const Real _abs_error;
const Real _rel_error;
const int _max_iteration;
const MaterialProperty<Real> * _hotpressing_strain_old;
MaterialProperty<Real> & _hydrostatic_pressure;
//////////////////////////////////////////////////////////////////////
// Real EDOTI(Real stress, Real& dedot_ds)
//
// EDOTI computes irradiation induced creep rate of UO2 as a function
// of stress.
//
// stress (input), stress (Pa)
// dedot_ds (output), derivative of creep rate with respect to stress
// (/Pa-sec)
// return value, creep rate (/sec)
//
//////////////////////////////////////////////////////////////////////
inline Real EDOTI(Real stress, Real & dedot_ds)
{
const Real c3 = _a7 * _fission_rate[_qp];
const Real activation_term3 = std::exp(-_q3 / _temperature[_qp]);
Real edot = c3 * activation_term3 * stress;
dedot_ds = c3 * activation_term3;
return edot;
}
//////////////////////////////////////////////////////////////////////
// Real EDOTTH1(Real stress, Real, density, Real& dedot_ds)
//
// EDOTTH1 computes diffusional thermal creep rate of UO2 as a function
// of stress and density.
//
// stress (input), stress (Pa)
// density (input), density of UO2 (percent)
// dedot_ds (output), derivative of creep rate with respect to stress
// (/Pa-sec)
// return value, creep rate (/sec)
//
//////////////////////////////////////////////////////////////////////
inline Real EDOTTH1(Real stress, Real density, Real & dedot_ds)
{
const Real c1 =
(_a1 + _a2 * _fission_rate[_qp]) / ((_a3 + density) * _grain_size * _grain_size);
const Real activation_term1 = std::exp(-_q1 / _temperature[_qp]);
Real edot = c1 * activation_term1 * stress;
dedot_ds = c1 * activation_term1;
return edot;
}
//////////////////////////////////////////////////////////////////////
// Real EDOTTH2(Real stress, Real, density, Real& dedot_ds)
//
// EDOTTH2 computes dislocation controlled thermal creep rate of UO2 as
// a function of stress and density.
//
// stress (input), stress (Pa)
// density (input), density of UO2 (percent)
// dedot_ds (output), derivative of creep rate with respect to stress
// (/Pa-sec)
// return value, creep rate (/sec)
//
//////////////////////////////////////////////////////////////////////
inline Real EDOTTH2(Real stress, Real density, Real & dedot_ds)
{
Real edot(0.0);
const Real n1(4.5);
const Real c2 = _a4 / (_a6 + density);
const Real activation_term2 = std::exp(-_q2 / _temperature[_qp]);
if (stress < 0)
{
edot = -std::pow(-stress, n1) * c2 * activation_term2;
dedot_ds = -n1 * std::pow(-stress, n1 - 1) * c2 * activation_term2;
}
else if (stress > 0)
{
edot = std::pow(stress, n1) * c2 * activation_term2;
dedot_ds = n1 * std::pow(stress, n1 - 1) * c2 * activation_term2;
}
else
{
edot = 0.0;
dedot_ds = 0.0;
}
return edot;
}
////////////////////////////////////////////////////////////////////////////////
// Real ParrameterNu(Real n, Real frac_density)
//
// n, exponent in the power law (dimensionless)
// frac_density, fractional density (dimensionless)
//
// This function returns hot pressing parameter due to creep.
// The creep law should be in a power law type i.e.,
// creep_rate = A * stress^n
//
// Ref. Y. R. Rashid, H.T. Tang and E. B. Johansson, "Mathematical Treatment
// of Hot Pressing of Reactor Fuel," Nuclear Engineering and Design,
// Vol 29, No. 1, Nov 1974
////////////////////////////////////////////////////////////////////////////////
inline Real parameterNu(Real n, Real frac_density)
{
mooseAssert(n > 0.0, "UO2HotPressingCreepUpdate: Exponent must be greater than zero.");
if (frac_density > 0.99)
frac_density = 0.99;
Real x1 = std::pow((3.0 / (2.0 * n)), n);
Real x2 = std::pow(0.74 / (1.0 - frac_density), 1 / n);
Real x3 = std::pow(1.0 / (x2 - 1.0), n);
return 0.25 * x1 * x3;
}
virtual Real computeHotPressingStrain(Real pH, Real & dedot_ds);
virtual void initQpStatefulProperties() override;
using StressUpdateBase::updateState;
virtual void updateState(RankTwoTensor & strain_increment,
RankTwoTensor & inelastic_strain_increment,
const RankTwoTensor & rotation_increment,
RankTwoTensor & stress_new,
const RankTwoTensor & stress_old,
const RankFourTensor & elasticity_tensor,
const RankTwoTensor & elastic_strain_old,
bool compute_full_tangent_operator,
RankFourTensor & tangent_operator) override;
};