- T_infinityFunction describing far-field temperature
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Function describing far-field temperature
- boundaryThe list of boundary IDs from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundary IDs from the mesh where this object applies
- coefficientFunction describing heat transfer coefficient
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Function describing heat transfer coefficient
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
ConvectiveFluxFunction
Determines boundary value by fluid heat transfer coefficient and far-field temperature
Description
The ConvectiveFluxFunction boundary condition is used to prescribe the following convective flux to a boundary of a thermal model: where is the heat transfer coefficient, is the temperature at a location , where is the location of a given quadrature point on the surface where this boundary condition is applied, and is the far-field temperature of the fluid that the boundary is exposed to.
The far-field temperature is specified using the T_infinity parameter, which is a MOOSE Function. This can be provided as the name of a function, using a parsed function, or a constant value. Likewise, the heat transfer coefficient is specified using the coefficient parameter, which is also a MOOSE Function, and the same options for how to prescribe T_infinity also apply for this parameter. By default, the heat transfer coefficient function is defined in terms of position and time (the standard usage of MOOSE Functions). If the optional coefficient_function_type parameter is set to TEMPERATURE, the coefficient is instead a function of the temperature. If a Function such as PiecewiseLinear were used to define this coefficient, the values on the x-axis of that function would be interpreted as temperature values. If a parsed function were used for this purpose, the t variable in a parsed equation would be used for the temperature, rather than for the time.
Input Parameters
- coefficient_function_typeTIME_AND_POSITIONType of function for heat transfer coefficient provided in 'coefficient' parameter
Default:TIME_AND_POSITION
C++ Type:MooseEnum
Unit:(no unit assumed)
Options:TIME_AND_POSITION, TEMPERATURE
Controllable:No
Description:Type of function for heat transfer coefficient provided in 'coefficient' parameter
- displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
- 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
Unit:(no unit assumed)
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.
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Unit:(no unit assumed)
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Unit:(no unit assumed)
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Tagging Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- diag_save_inThe name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- save_inThe name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Unit:(no unit assumed)
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
Input Files
- (modules/heat_transfer/test/tests/convective_flux_function/convective_flux_function.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_sphere3D.i)
- (modules/combined/test/tests/optimization/invOpt_bc_convective/adjoint.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_sphere.i)
- (modules/heat_transfer/test/tests/sideset_heat_transfer/cfem_gap.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_rz_cylinder.i)
- (modules/combined/test/tests/optimization/invOpt_bc_convective/forward.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_rz_cylinder_mortar.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_sphere3D_mortar.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder_mortar.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder.i)
- (modules/combined/test/tests/heat_convection/heat_convection_function.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere_mortar_error.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder_mortar_error.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_rz_cylinder.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_3D_mortar.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere_mortar.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_cylinder.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_3D.i)
(modules/heat_transfer/test/tests/convective_flux_function/convective_flux_function.i)
# This is a test of the ConvectiveFluxFunction BC.
# There is a single 1x1 element with a prescribed temperature
# on the left side and a convective flux BC on the right side.
# The temperature on the left is 100, and the far-field temp is 200.
# The conductance of the body (conductivity * length) is 10
#
# If the conductance in the BC is also 10, the temperature on the
# right side of the solid element should be 150 because half of the
# temperature drop should occur over the body and half in the BC.
#
# The integrated flux is deltaT * conductance, or -50 * 10 = -500.
# The negative sign indicates that heat is going into the body.
#
# The conductance is defined multiple ways using this input, and
# as long as it evaluates to 10, the result described above will
# be obtained.
[Mesh]
type = GeneratedMesh
dim = 2
nx = 1
ny = 1
[]
[Problem]
extra_tag_vectors = 'bcs'
[]
[Variables]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[flux]
[]
[]
[AuxKernels]
[flux]
type = TagVectorAux
variable = flux
v = temp
vector_tag = 'bcs'
execute_on = timestep_end
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 10.0
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temp
boundary = left
value = 100.0
[]
[right]
type = ConvectiveFluxFunction
variable = temp
boundary = right
T_infinity = 200.0
coefficient = 10.0 #This will behave as described in the header of this file if this evaluates to 10
extra_vector_tags = 'bcs'
[]
[]
[Postprocessors]
[integrated_flux]
type = NodalSum
variable = flux
boundary = right
[]
[]
[Executioner]
type = Transient
start_time = 0.0
end_time = 1.0
dt = 1.0
nl_rel_tol=1e-12
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_sphere3D.i)
sphere_outer_htc = 10 # W/m^2/K
sphere_outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
file = sphere3D.e
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[power_density]
block = 'fuel'
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
[]
[heat_source]
type = CoupledForce
variable = temp
block = 'fuel'
v = power_density
[]
[]
[AuxKernels]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 5
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = '4' # outer RPV
coefficient = ${sphere_outer_htc}
T_infinity = ${sphere_outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-7
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 'fuel'
[]
[sphere_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = '4' # outer RVP
T_fluid = ${sphere_outer_Tinf}
htc = ${sphere_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(sphere_convective_out - ptot) / ptot'
pp_names = 'sphere_convective_out ptot'
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = '2 3'
variable = temp
[]
[]
(modules/combined/test/tests/optimization/invOpt_bc_convective/adjoint.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 20
xmax = 1
ymax = 2
[]
[]
[AuxVariables]
[temperature_forward]
[]
[T2]
[]
[]
[AuxKernels]
[TT]
type = ParsedAux
args = 'temperature temperature_forward'
variable = T2
function = 'temperature*(100-temperature_forward)'
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[heat_conduction]
type = ADHeatConduction
variable = temperature
[]
[]
[DiracKernels]
[pt]
type = ReporterPointSource
variable = temperature
x_coord_name = misfit/measurement_xcoord
y_coord_name = misfit/measurement_ycoord
z_coord_name = misfit/measurement_zcoord
value_name = misfit/misfit_values
[]
[]
[Reporters]
[misfit]
type = OptimizationData
[]
[params]
type = ConstantReporter
real_vector_names = 'vals'
real_vector_values = '0' # Dummy value
[]
[]
[BCs]
[left]
type = ConvectiveFluxFunction
variable = temperature
boundary = 'left'
T_infinity = 0.0
coefficient = function1
[]
[right]
type = NeumannBC
variable = temperature
boundary = right
value = 0
[]
[bottom]
type = DirichletBC
variable = temperature
boundary = bottom
value = 0
[]
[top]
type = DirichletBC
variable = temperature
boundary = top
value = 0
[]
[]
[Materials]
[steel]
type = ADGenericConstantMaterial
prop_names = thermal_conductivity
prop_values = 5
[]
[]
[Executioner]
type = Steady
solve_type = PJFNK
nl_abs_tol = 1e-6
nl_rel_tol = 1e-8
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
[]
[Functions]
[function1]
type = ParsedOptimizationFunction
expression = 'a'
param_symbol_names = 'a'
param_vector_name = 'params/vals'
[]
[]
[VectorPostprocessors]
[adjoint_pt]
type = SideOptimizationNeumannFunctionInnerProduct
variable = T2
function = function1
boundary = left
[]
[]
[Outputs]
console = false
exodus = false
file_base = 'adjoint'
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_sphere.i)
sphere_outer_htc = 10 # W/m^2/K
sphere_outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
coord_type = RZ
[]
[Mesh]
[file]
type = FileMeshGenerator
file = cyl2D.e
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[power_density]
block = 'fuel'
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
[]
[heat_source]
type = CoupledForce
variable = temp
block = 'fuel'
v = power_density
[]
[]
[AuxKernels]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0.8
emissivity_secondary = 0.8
gap_conductivity = 0.1
quadrature = true
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = '4' # outer RPV
coefficient = ${sphere_outer_htc}
T_infinity = ${sphere_outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-7
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Outputs]
exodus = false
csv = true
[Console]
type = Console
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 'fuel'
[]
[sphere_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = '4' # outer RVP
T_fluid = ${sphere_outer_Tinf}
htc = ${sphere_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(sphere_convective_out - ptot) / ptot'
pp_names = 'sphere_convective_out ptot'
[]
[]
(modules/heat_transfer/test/tests/sideset_heat_transfer/cfem_gap.i)
[Mesh]
# Build 2-by-2 mesh
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 2
xmax = 2
ny = 2
ymax = 2
[]
# Create blocs 0, 1, 2, 3
[block_1]
type = SubdomainBoundingBoxGenerator
input = mesh
block_id = 1
bottom_left = '1 0 0'
top_right = '2 1 0'
[]
[block_2]
type = SubdomainBoundingBoxGenerator
input = block_1
block_id = 2
bottom_left = '0 1 0'
top_right = '1 2 0'
[]
[block_3]
type = SubdomainBoundingBoxGenerator
input = block_2
block_id = 3
bottom_left = '1 1 0'
top_right = '2 2 0'
[]
# Create inner sidesets
[interface_01]
type = SideSetsBetweenSubdomainsGenerator
input = block_3
primary_block = 0
paired_block = 1
new_boundary = 'interface_01'
[]
[interface_13]
type = SideSetsBetweenSubdomainsGenerator
input = interface_01
primary_block = 1
paired_block = 3
new_boundary = 'interface_13'
[]
[interface_32]
type = SideSetsBetweenSubdomainsGenerator
input = interface_13
primary_block = 3
paired_block = 2
new_boundary = 'interface_32'
[]
[interface_20]
type = SideSetsBetweenSubdomainsGenerator
input = interface_32
primary_block = 2
paired_block = 0
new_boundary = 'interface_20'
[]
# Create outer boundaries
[boundary_left_0]
type = SideSetsAroundSubdomainGenerator
input = interface_20
block = 0
normal = '-1 0 0'
new_boundary = 'left_0'
[]
[boundary_bot_0]
type = SideSetsAroundSubdomainGenerator
input = boundary_left_0
block = 0
normal = '0 -1 0'
new_boundary = 'bot_0'
[]
[boundary_bot_1]
type = SideSetsAroundSubdomainGenerator
input = boundary_bot_0
block = 1
normal = '0 -1 0'
new_boundary = 'bot_1'
[]
[boundary_right_1]
type = SideSetsAroundSubdomainGenerator
input = boundary_bot_1
block = 1
normal = '1 0 0'
new_boundary = 'right_1'
[]
[boundary_right_3]
type = SideSetsAroundSubdomainGenerator
input = boundary_right_1
block = 3
normal = '1 0 0'
new_boundary = 'right_3'
[]
[boundary_top_3]
type = SideSetsAroundSubdomainGenerator
input = boundary_right_3
block = 3
normal = '0 1 0'
new_boundary = 'top_3'
[]
[boundary_top_2]
type = SideSetsAroundSubdomainGenerator
input = boundary_top_3
block = 2
normal = '0 1 0'
new_boundary = 'top_2'
[]
[boundary_left_2]
type = SideSetsAroundSubdomainGenerator
input = boundary_top_2
block = 2
normal = '-1 0 0'
new_boundary = 'left_2'
[]
uniform_refine = 4
[]
[Variables]
# Need to have variable for each block to allow discontinuity
[T0]
block = 0
[]
[T1]
block = 1
[]
[T2]
block = 2
[]
[T3]
block = 3
[]
[]
[Kernels]
# Diffusion kernel for each block's variable
[diff_0]
type = MatDiffusion
variable = T0
diffusivity = conductivity
block = 0
[]
[diff_1]
type = MatDiffusion
variable = T1
diffusivity = conductivity
block = 1
[]
[diff_2]
type = MatDiffusion
variable = T2
diffusivity = conductivity
block = 2
[]
[diff_3]
type = MatDiffusion
variable = T3
diffusivity = conductivity
block = 3
[]
# Source for two of the blocks
[source_0]
type = BodyForce
variable = T0
value = 5e5
block = '0'
[]
[source_3]
type = BodyForce
variable = T3
value = 5e5
block = '3'
[]
[]
[InterfaceKernels]
# Side set kernel to represent heat transfer across blocks
# Automatically uses the materials defined in SideSetHeatTransferMaterial
[gap_01]
type = SideSetHeatTransferKernel
# This variable defined on a given block must match the primary_block given when the side set was generated
variable = T0
# This variable defined on a given block must match the paired_block given when the side set was generated
neighbor_var = T1
boundary = 'interface_01'
[]
[gap_13]
type = SideSetHeatTransferKernel
variable = T1
neighbor_var = T3
boundary = 'interface_13'
[]
[gap_32]
type = SideSetHeatTransferKernel
variable = T3
neighbor_var = T2
boundary = 'interface_32'
[]
[gap_20]
type = SideSetHeatTransferKernel
variable = T2
neighbor_var = T0
boundary = 'interface_20'
[]
[]
# Creating auxiliary variable to combine block restricted solutions
# Ignores discontinuity though
[AuxVariables]
[T]
[]
[]
[AuxKernels]
[temp_0]
type = NormalizationAux
variable = T
source_variable = T0
block = 0
[]
[temp_1]
type = NormalizationAux
variable = T
source_variable = T1
block = 1
[]
[temp_2]
type = NormalizationAux
variable = T
source_variable = T2
block = 2
[]
[temp_3]
type = NormalizationAux
variable = T
source_variable = T3
block = 3
[]
[]
[BCs]
# Boundary condition for each block's outer surface
[bc_left_2]
type = DirichletBC
boundary = 'left_2'
variable = T2
value = 300.0
[]
[bc_left_0]
type = DirichletBC
boundary = 'left_0'
variable = T0
value = 300.0
[]
[bc_bot_0]
type = DirichletBC
boundary = 'bot_0'
variable = T0
value = 300.0
[]
[bc_bot_1]
type = DirichletBC
boundary = 'bot_1'
variable = T1
value = 300.0
[]
[./bc_top_2]
type = ConvectiveFluxFunction # (Robin BC)
variable = T2
boundary = 'top_2'
coefficient = 1e3 # W/K/m^2
T_infinity = 600.0
[../]
[./bc_top_3]
type = ConvectiveFluxFunction # (Robin BC)
variable = T3
boundary = 'top_3'
coefficient = 1e3 # W/K/m^2
T_infinity = 600.0
[../]
[./bc_right_3]
type = ConvectiveFluxFunction # (Robin BC)
variable = T3
boundary = 'right_3'
coefficient = 1e3 # W/K/m^2
T_infinity = 600.0
[../]
[./bc_right_1]
type = ConvectiveFluxFunction # (Robin BC)
variable = T1
boundary = 'right_1'
coefficient = 1e3 # W/K/m^2
T_infinity = 600.0
[../]
[]
[Materials]
[fuel]
type = GenericConstantMaterial
prop_names = 'conductivity'
prop_values = 75
block = '0 3'
[]
[mod]
type = GenericConstantMaterial
prop_names = 'conductivity'
prop_values = 7.5
block = '1 2'
[]
# Interface material used for SideSetHeatTransferKernel
# Heat transfer meachnisms ignored if certain properties are not supplied
[gap_mat]
type = SideSetHeatTransferMaterial
boundary = 'interface_01 interface_13 interface_32 interface_20'
conductivity = 0.41
gap_length = 0.002
Tbulk = 750
h_primary = 3000
h_neighbor = 3000
emissivity_primary = 0.85
emissivity_neighbor = 0.85
[]
[]
[Executioner]
type = Steady
nl_rel_tol = 1e-12
l_tol = 1e-8
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 50'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_rz_cylinder.i)
rpv_core_gap_size = 0.2
core_outer_radius = 2
rpv_inner_radius = '${fparse 2 + rpv_core_gap_size}'
rpv_outer_radius = '${fparse 2.5 + rpv_core_gap_size}'
rpv_width = '${fparse rpv_outer_radius - rpv_inner_radius}'
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[gmg]
type = CartesianMeshGenerator
dim = 2
dx = '${core_outer_radius} ${rpv_core_gap_size} ${rpv_width}'
ix = '400 1 100'
dy = 1
iy = '5'
[]
[set_block_id1]
type = SubdomainBoundingBoxGenerator
input = gmg
bottom_left = '0 0 0'
top_right = '${core_outer_radius} 1 0'
block_id = 1
location = INSIDE
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = set_block_id1
primary_block = 1
paired_block = 0
new_boundary = 'core_outer'
[]
[set_block_id3]
type = SubdomainBoundingBoxGenerator
input = rename_core_bdy
bottom_left = '${rpv_inner_radius} 0 0'
top_right = '${rpv_outer_radius} 1 0'
block_id = 3
location = INSIDE
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = set_block_id3
primary_block = 3
paired_block = 0
new_boundary = 'rpv_inner'
[]
# comment out for test without gap
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 0
[]
allow_renumbering = false
[]
[Problem]
coord_type = RZ
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'right' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[ThermalContact]
[RPV_gap]
type = GapHeatTransfer
gap_geometry_type = 'CYLINDER'
emissivity_primary = 0.8
emissivity_secondary = 0.8
variable = Tsolid
primary = 'core_outer'
secondary = 'rpv_inner'
gap_conductivity = 0.1
quadrature = true
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'right' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[flux_from_core] # converges to ptot as the mesh is refined
type = SideDiffusiveFluxIntegral
variable = Tsolid
boundary = core_outer
diffusivity = thermal_conductivity
[]
[flux_into_rpv] # converges to rpv_convective_out as the mesh is refined
type = SideDiffusiveFluxIntegral
variable = Tsolid
boundary = rpv_inner
diffusivity = thermal_conductivity
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'rpv_inner core_outer'
variable = Tsolid
[]
[]
[Executioner]
type = Steady
automatic_scaling = true
compute_scaling_once = false
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart '
petsc_options_value = 'hypre boomeramg 100'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
[Quadrature]
# order = fifth
side_order = seventh
[]
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/combined/test/tests/optimization/invOpt_bc_convective/forward.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 20
xmax = 1
ymax = 2
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[heat_conduction]
type = ADHeatConduction
variable = temperature
[]
[]
[BCs]
[left]
type = ConvectiveFluxFunction
variable = temperature
boundary = 'left'
T_infinity = 100.0
coefficient = function1
[]
[right]
type = NeumannBC
variable = temperature
boundary = right
value = -100
[]
[bottom]
type = DirichletBC
variable = temperature
boundary = bottom
value = 500
[]
[top]
type = DirichletBC
variable = temperature
boundary = top
value = 600
[]
[]
[Materials]
[steel]
type = ADGenericConstantMaterial
prop_names = thermal_conductivity
prop_values = 5
[]
[]
[Executioner]
type = Steady
solve_type = PJFNK
nl_abs_tol = 1e-6
nl_rel_tol = 1e-8
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
[]
[Functions]
[function1]
type = ParsedOptimizationFunction
expression = 'a'
param_symbol_names = 'a'
param_vector_name = 'params/vals'
[]
[]
[VectorPostprocessors]
[vertical]
type = LineValueSampler
variable = 'temperature'
start_point = '0.1 0.0 0.0'
end_point = '0.1 2.0 0.0'
num_points = 21
sort_by = id
[]
[]
[Reporters]
[measure_data]
type = OptimizationData
objective_name = objective_value
variable = temperature
[]
[params]
type = ConstantReporter
real_vector_names = 'vals'
real_vector_values = '0' # Dummy value
[]
[]
[Outputs]
csv = true
exodus = false
console = false
file_base = 'forward'
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_rz_cylinder_mortar.i)
rpv_core_gap_size = 0.2
core_outer_radius = 2
rpv_inner_radius = '${fparse 2 + rpv_core_gap_size}'
rpv_outer_radius = '${fparse 2.5 + rpv_core_gap_size}'
rpv_width = '${fparse rpv_outer_radius - rpv_inner_radius}'
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[gmg]
type = CartesianMeshGenerator
dim = 2
dx = '${core_outer_radius} ${rpv_core_gap_size} ${rpv_width}'
ix = '400 1 100'
dy = 1
iy = '5'
[]
[set_block_id1]
type = SubdomainBoundingBoxGenerator
input = gmg
bottom_left = '0 0 0'
top_right = '${core_outer_radius} 1 0'
block_id = 1
location = INSIDE
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = set_block_id1
primary_block = 1
paired_block = 0
new_boundary = 'core_outer'
[]
[set_block_id3]
type = SubdomainBoundingBoxGenerator
input = rename_core_bdy
bottom_left = '${rpv_inner_radius} 0 0'
top_right = '${rpv_outer_radius} 1 0'
block_id = 3
location = INSIDE
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = set_block_id3
primary_block = 3
paired_block = 0
new_boundary = 'rpv_inner'
[]
# comment out for test without gap
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 0
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = 'rpv_inner'
new_block_id = 10001
new_block_name = 'secondary_lower'
input = 2d_mesh
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = 'core_outer'
new_block_id = 10000
new_block_name = 'primary_lower'
input = secondary
[]
allow_renumbering = false
[]
[Problem]
coord_type = RZ
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'right' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = Tsolid
boundary = 'rpv_inner'
primary_emissivity = 0.8
secondary_emissivity = 0.8
[]
[conduction]
type = GapFluxModelConduction
temperature = Tsolid
boundary = 'rpv_inner'
gap_conductivity = 0.1
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = Tsolid
primary_boundary = 'core_outer'
primary_subdomain = 10000
secondary_boundary = 'rpv_inner'
secondary_subdomain = 10001
gap_flux_models = 'radiation conduction'
gap_geometry_type = 'CYLINDER'
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'right' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[flux_from_core] # converges to ptot as the mesh is refined
type = SideDiffusiveFluxIntegral
variable = Tsolid
boundary = core_outer
diffusivity = thermal_conductivity
[]
[flux_into_rpv] # converges to rpv_convective_out as the mesh is refined
type = SideDiffusiveFluxIntegral
variable = Tsolid
boundary = rpv_inner
diffusivity = thermal_conductivity
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'rpv_inner core_outer'
variable = Tsolid
[]
[]
[Executioner]
type = Steady
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = ' lu superlu_dist 1e-5 NONZERO '
'1e-15'
snesmf_reuse_base = false
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_sphere3D_mortar.i)
sphere_outer_htc = 10 # W/m^2/K
sphere_outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
kernel_coverage_check = false
material_coverage_check = false
[]
[Mesh]
[file]
type = FileMeshGenerator
file = sphere3D.e
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = '2'
new_block_id = 10001
new_block_name = 'secondary_lower'
input = file
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = '3'
new_block_id = 10000
new_block_name = 'primary_lower'
input = secondary
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[AuxVariables]
# [gap_conductance]
# order = CONSTANT
# family = MONOMIAL
# []
[power_density]
block = 'fuel'
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
block = '1 2'
[]
[heat_source]
type = CoupledForce
variable = temp
block = 'fuel'
v = power_density
[]
[]
# [AuxKernels]
# [gap_cond]
# type = MaterialRealAux
# property = gap_conductance
# variable = gap_conductance
# boundary = 2
# []
# []
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = temp
boundary = 2
primary_emissivity = 0.0
secondary_emissivity = 0.0
[]
[conduction]
type = GapFluxModelConduction
temperature = temp
boundary = 2
gap_conductivity = 5.0
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = temp
primary_boundary = 3
primary_subdomain = 10000
secondary_boundary = 2
secondary_subdomain = 10001
gap_flux_models = 'radiation conduction'
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = '4' # outer RPV
coefficient = ${sphere_outer_htc}
T_infinity = ${sphere_outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-7
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 'fuel'
[]
[sphere_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = '4' # outer RVP
T_fluid = ${sphere_outer_Tinf}
htc = ${sphere_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(sphere_convective_out - ptot) / ptot'
pp_names = 'sphere_convective_out ptot'
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = '2 3'
variable = temp
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder_mortar.i)
rpv_core_gap_size = 0.15
core_outer_radius = 2
rpv_inner_radius = '${fparse 2 + rpv_core_gap_size}'
rpv_outer_radius = '${fparse 2.5 + rpv_core_gap_size}'
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[core_gap_rpv]
type = ConcentricCircleMeshGenerator
num_sectors = 10
radii = '${core_outer_radius} ${rpv_inner_radius} ${rpv_outer_radius}'
rings = '2 1 2'
has_outer_square = false
preserve_volumes = true
portion = full
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = core_gap_rpv
primary_block = 1
paired_block = 2
new_boundary = 'core_outer'
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = rename_core_bdy
primary_block = 3
paired_block = 2
new_boundary = 'rpv_inner'
[]
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 2
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = 'rpv_inner'
new_block_id = 10001
new_block_name = 'secondary_lower'
input = 2d_mesh
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = 'core_outer'
new_block_id = 10000
new_block_name = 'primary_lower'
input = secondary
[]
allow_renumbering = false
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'outer' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = Tsolid
boundary = 'rpv_inner'
primary_emissivity = 0.8
secondary_emissivity = 0.8
[]
[conduction]
type = GapFluxModelConduction
temperature = Tsolid
boundary = 'rpv_inner'
gap_conductivity = 0.1
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = Tsolid
primary_boundary = 'core_outer'
primary_subdomain = 10000
secondary_boundary = 'rpv_inner'
secondary_subdomain = 10001
gap_flux_models = 'radiation conduction'
gap_geometry_type = 'CYLINDER'
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'outer' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'rpv_inner core_outer'
variable = 'Tsolid'
[]
[]
[Executioner]
type = Steady
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = ' lu superlu_dist 1e-5 NONZERO 1e-15'
snesmf_reuse_base = false
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder.i)
rpv_core_gap_size = 0.15
core_outer_radius = 2
rpv_inner_radius = '${fparse 2 + rpv_core_gap_size}'
rpv_outer_radius = '${fparse 2.5 + rpv_core_gap_size}'
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[core_gap_rpv]
type = ConcentricCircleMeshGenerator
num_sectors = 10
radii = '${core_outer_radius} ${rpv_inner_radius} ${rpv_outer_radius}'
rings = '2 1 2'
has_outer_square = false
preserve_volumes = true
portion = full
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = core_gap_rpv
primary_block = 1
paired_block = 2
new_boundary = 'core_outer'
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = rename_core_bdy
primary_block = 3
paired_block = 2
new_boundary = 'rpv_inner'
[]
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 2
[]
allow_renumbering = false
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'outer' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[ThermalContact]
[RPV_gap]
type = GapHeatTransfer
gap_geometry_type = 'CYLINDER'
emissivity_primary = 0.8
emissivity_secondary = 0.8
variable = Tsolid
primary = 'core_outer'
secondary = 'rpv_inner'
gap_conductivity = 0.1
quadrature = true
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 5'
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'outer' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'rpv_inner core_outer'
variable = Tsolid
[]
[]
[Executioner]
type = Steady
automatic_scaling = true
compute_scaling_once = false
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart '
petsc_options_value = 'hypre boomeramg 100'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
[Quadrature]
side_order = seventh
[]
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/combined/test/tests/heat_convection/heat_convection_function.i)
[Mesh] # Mesh Start
file = patch_3d.e
#
[] # Mesh END
[Functions]
[./t_infinity]
type = ParsedFunction
expression = '300'
[../]
[./htc]
type = ParsedFunction
expression = 10.0*5.7 # convective heat transfer coefficient (w/m^2-K)[50 BTU/hr-ft^2-F]
[../]
[]
[Variables] # Variables Start
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 294.26
[../]
[] # Variables END
[Kernels] # Kernels Start
[./heat]
type = HeatConduction
variable = temp
[../]
[] # Kernels END
[BCs] # Boundary Conditions Start
# Heat transfer coefficient on outer parallelpiped radius and ends
[./convective_clad_surface] # Convective Start
type = ConvectiveFluxFunction # Convective flux, e.g. q'' = h*(Tw - Tf)
boundary = 12
variable = temp
coefficient = htc
T_infinity = t_infinity
[../] # Convective End
[./fixed]
type = DirichletBC
variable = temp
boundary = 10
value = 100
[../]
[] # BCs END
[Materials] # Materials Start
[./thermal]
type = HeatConductionMaterial
block = '1 2 3 4 5 6 7'
specific_heat = 826.4
thermal_conductivity = 57
[../]
[./density]
type = Density
block = '1 2 3 4 5 6 7'
density = 2405.28
[../]
[] # Materials END
[Executioner] # Executioner Start
type = Transient
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew '
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type'
petsc_options_value = '70 hypre boomeramg'
l_max_its = 60
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-5
start_time = 0.0
dt = 1
num_steps = 1
[] # Executioner END
[Outputs] # Output Start
# Output Start
exodus = true
[] # Output END
# # Input file END
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere_mortar_error.i)
sphere_outer_htc = 10 # W/m^2/K
sphere_outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
coord_type = RZ
kernel_coverage_check = false
material_coverage_check = false
[]
[Mesh]
[file]
type = FileMeshGenerator
file = cyl2D.e
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = '2'
new_block_id = 10001
new_block_name = 'secondary_lower'
input = file
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = '3'
new_block_id = 10000
new_block_name = 'primary_lower'
input = secondary
[]
allow_renumbering = false
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[lm]
order = SECOND
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[AuxVariables]
[power_density]
block = 'fuel'
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
block = '1 2'
[]
[heat_source]
type = CoupledForce
variable = temp
block = 'fuel'
v = power_density
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = temp
boundary = 2
primary_emissivity = 0.0
secondary_emissivity = 0.0
[]
[conduction]
type = GapFluxModelConduction
temperature = temp
boundary = 2
gap_conductivity = 5.0
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = temp
primary_boundary = 3
primary_subdomain = 10000
secondary_boundary = 2
secondary_subdomain = 10001
gap_flux_models = 'radiation conduction'
gap_geometry_type = SPHERE
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = '4' # outer RPV
coefficient = ${sphere_outer_htc}
T_infinity = ${sphere_outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-7
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = '2 3'
variable = temp
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 'fuel'
[]
[sphere_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = '4' # outer RVP
T_fluid = ${sphere_outer_Tinf}
htc = ${sphere_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(sphere_convective_out - ptot) / ptot'
pp_names = 'sphere_convective_out ptot'
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder_mortar_error.i)
rpv_core_gap_size = 0.15
core_outer_radius = 2
rpv_inner_radius = ${fparse 2 + rpv_core_gap_size}
rpv_outer_radius = ${fparse 2.5 + rpv_core_gap_size}
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[core_gap_rpv]
type = ConcentricCircleMeshGenerator
num_sectors = 10
radii = '${core_outer_radius} ${rpv_inner_radius} ${rpv_outer_radius}'
rings = '2 1 2'
has_outer_square = false
preserve_volumes = true
portion = full
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = core_gap_rpv
primary_block = 1
paired_block = 2
new_boundary = 'core_outer'
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = rename_core_bdy
primary_block = 3
paired_block = 2
new_boundary = 'rpv_inner'
[]
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 2
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = 'rpv_inner'
new_block_id = 10001
new_block_name = 'secondary_lower'
input = 2d_mesh
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = 'core_outer'
new_block_id = 10000
new_block_name = 'primary_lower'
input = secondary
[]
allow_renumbering = false
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'outer' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = Tsolid
boundary = 'rpv_inner'
primary_emissivity = 0.8
secondary_emissivity = 0.8
[]
[conduction]
type = GapFluxModelConduction
temperature = Tsolid
boundary = 'rpv_inner'
gap_conductivity = 0.1
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = Tsolid
primary_boundary = 'core_outer'
primary_subdomain = 10000
secondary_boundary = 'rpv_inner'
secondary_subdomain = 10001
gap_flux_models = 'radiation conduction'
gap_geometry_type = 'CYLINDER'
cylinder_axis_point_2 = '0 0 5'
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'outer' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'rpv_inner core_outer'
variable = 'Tsolid'
[]
[]
[Executioner]
type = Steady
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = ' lu superlu_dist 1e-5 NONZERO '
'1e-15'
snesmf_reuse_base = false
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_rz_cylinder.i)
rpv_core_gap_size = 0.2
core_outer_radius = 2
rpv_inner_radius = '${fparse 2 + rpv_core_gap_size}'
rpv_outer_radius = '${fparse 2.5 + rpv_core_gap_size}'
rpv_width = '${fparse rpv_outer_radius - rpv_inner_radius}'
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[gmg]
type = CartesianMeshGenerator
dim = 2
dx = '${core_outer_radius} ${rpv_core_gap_size} ${rpv_width}'
ix = '400 1 100'
dy = 1
iy = '5'
[]
[set_block_id1]
type = SubdomainBoundingBoxGenerator
input = gmg
bottom_left = '0 0 0'
top_right = '${core_outer_radius} 1 0'
block_id = 1
location = INSIDE
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = set_block_id1
primary_block = 1
paired_block = 0
new_boundary = 'core_outer'
[]
[set_block_id3]
type = SubdomainBoundingBoxGenerator
input = rename_core_bdy
bottom_left = '${rpv_inner_radius} 0 0'
top_right = '${rpv_outer_radius} 1 0'
block_id = 3
location = INSIDE
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = set_block_id3
primary_block = 3
paired_block = 0
new_boundary = 'rpv_inner'
[]
# comment out for test without gap
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 0
[]
[]
[Problem]
coord_type = RZ
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'right' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[ThermalContact]
[RPV_gap]
type = GapHeatTransfer
gap_geometry_type = 'CYLINDER'
emissivity_primary = 0.8
emissivity_secondary = 0.8
variable = Tsolid
primary = 'core_outer'
secondary = 'rpv_inner'
gap_conductivity = 0.1
quadrature = true
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'right' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[flux_from_core] # converges to ptot as the mesh is refined
type = SideDiffusiveFluxIntegral
variable = Tsolid
boundary = core_outer
diffusivity = thermal_conductivity
[]
[flux_into_rpv] # converges to rpv_convective_out as the mesh is refined
type = SideDiffusiveFluxIntegral
variable = Tsolid
boundary = rpv_inner
diffusivity = thermal_conductivity
[]
[]
[Executioner]
type = Steady
automatic_scaling = true
compute_scaling_once = false
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart '
petsc_options_value = 'hypre boomeramg 100'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
[Quadrature]
# order = fifth
side_order = seventh
[]
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere.i)
sphere_outer_htc = 10 # W/m^2/K
sphere_outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
coord_type = RZ
[]
[Mesh]
[file]
type = FileMeshGenerator
file = cyl2D.e
[]
allow_renumbering = false
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[power_density]
block = 'fuel'
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
[]
[heat_source]
type = CoupledForce
variable = temp
block = 'fuel'
v = power_density
[]
[]
[AuxKernels]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 2
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0.0
emissivity_secondary = 0.0
gap_conductivity = 5
# quadrature = true
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = '4' # outer RPV
coefficient = ${sphere_outer_htc}
T_infinity = ${sphere_outer_Tinf}
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = '2 3'
variable = temp
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-7
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 'fuel'
[]
[sphere_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = '4' # outer RVP
T_fluid = ${sphere_outer_Tinf}
htc = ${sphere_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(sphere_convective_out - ptot) / ptot'
pp_names = 'sphere_convective_out ptot'
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_3D_mortar.i)
outer_htc = 10 # W/m^2/K
outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
kernel_coverage_check = false
material_coverage_check = false
[]
[Mesh]
[left_block]
type = GeneratedMeshGenerator
dim = 3
nx = 3
ny = 6
nz = 6
xmin = -1
xmax = -0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
elem_type = HEX27
[]
[left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3 4 5'
new_boundary = 'left_bottom left_back left_right left_front left_left left_top'
[]
[left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[]
[right_block]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 8
nz = 8
xmin = 0.5
xmax = 1
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
elem_type = HEX27
[]
[right_block_sidesets]
type = RenameBoundaryGenerator
input = right_block
old_boundary = '0 1 2 3 4 5'
# new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
new_boundary = '100 101 102 103 104 105'
[]
[right_block_sidesets_rename]
type = RenameBoundaryGenerator
input = right_block_sidesets
old_boundary = '100 101 102 103 104 105'
new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
[]
[right_block_id]
type = SubdomainIDGenerator
input = right_block_sidesets_rename
subdomain_id = 2
[]
[combined_mesh]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_id'
[]
[left_lower]
type = LowerDBlockFromSidesetGenerator
input = combined_mesh
sidesets = 'left_right'
new_block_id = '10001'
new_block_name = 'secondary_lower'
[]
[right_lower]
type = LowerDBlockFromSidesetGenerator
input = left_lower
sidesets = 'right_left'
new_block_id = '10000'
new_block_name = 'primary_lower'
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[lm]
order = SECOND
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[AuxVariables]
[power_density]
block = 1
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
block = '1 2'
[]
[heat_source]
type = CoupledForce
variable = temp
block = '1'
v = power_density
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = temp
boundary = 'left_right'
primary_emissivity = 0.0
secondary_emissivity = 0.0
[]
[conduction]
type = GapFluxModelConduction
temperature = temp
boundary = 'left_right'
gap_conductivity = 5.0
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = temp
primary_boundary = 'right_left'
primary_subdomain = 'primary_lower'
secondary_boundary = 'left_right'
secondary_subdomain = 'secondary_lower'
gap_flux_models = 'radiation conduction'
gap_geometry_type = PLATE
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = 'right_right' # outer RPV
coefficient = ${outer_htc}
T_infinity = ${outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-8
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 'left_right'
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 'right_left'
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 'left_right'
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 'right_left'
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 1
[]
[convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = 'right_right' # outer RVP
T_fluid = ${outer_Tinf}
htc = ${outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(convective_out - ptot) / ptot'
pp_names = 'convective_out ptot'
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'left_right right_left'
variable = temp
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere_mortar.i)
sphere_outer_htc = 10 # W/m^2/K
sphere_outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
coord_type = RZ
kernel_coverage_check = false
material_coverage_check = false
[]
[Mesh]
[file]
type = FileMeshGenerator
file = cyl2D.e
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = '2'
new_block_id = 10001
new_block_name = 'secondary_lower'
input = file
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = '3'
new_block_id = 10000
new_block_name = 'primary_lower'
input = secondary
[]
allow_renumbering = false
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[lm]
order = SECOND
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[AuxVariables]
[power_density]
block = 'fuel'
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
block = '1 2'
[]
[heat_source]
type = CoupledForce
variable = temp
block = 'fuel'
v = power_density
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
temperature = temp
boundary = 2
primary_emissivity = 0.0
secondary_emissivity = 0.0
[]
[conduction]
type = GapFluxModelConduction
temperature = temp
boundary = 2
gap_conductivity = 5.0
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = temp
primary_boundary = 3
primary_subdomain = 10000
secondary_boundary = 2
secondary_subdomain = 10001
gap_flux_models = 'radiation conduction'
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = '4' # outer RPV
coefficient = ${sphere_outer_htc}
T_infinity = ${sphere_outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-7
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = '2 3'
variable = temp
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 'fuel'
[]
[sphere_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = '4' # outer RVP
T_fluid = ${sphere_outer_Tinf}
htc = ${sphere_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(sphere_convective_out - ptot) / ptot'
pp_names = 'sphere_convective_out ptot'
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_cylinder.i)
rpv_core_gap_size = 0.15
core_outer_radius = 2
rpv_inner_radius = ${fparse 2 + rpv_core_gap_size}
rpv_outer_radius = ${fparse 2.5 + rpv_core_gap_size}
rpv_outer_htc = 10 # W/m^2/K
rpv_outer_Tinf = 300 # K
core_blocks = '1'
rpv_blocks = '3'
[Mesh]
[core_gap_rpv]
type = ConcentricCircleMeshGenerator
num_sectors = 10
radii = '${core_outer_radius} ${rpv_inner_radius} ${rpv_outer_radius}'
rings = '2 1 2'
has_outer_square = false
preserve_volumes = true
portion = full
[]
[rename_core_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = core_gap_rpv
primary_block = 1
paired_block = 2
new_boundary = 'core_outer'
[]
[rename_inner_rpv_bdy]
type = SideSetsBetweenSubdomainsGenerator
input = rename_core_bdy
primary_block = 3
paired_block = 2
new_boundary = 'rpv_inner'
[]
[2d_mesh]
type = BlockDeletionGenerator
input = rename_inner_rpv_bdy
block = 2
[]
[]
[Variables]
[Tsolid]
initial_condition = 500
[]
[]
[Kernels]
[heat_source]
type = CoupledForce
variable = Tsolid
block = '${core_blocks}'
v = power_density
[]
[heat_conduction]
type = HeatConduction
variable = Tsolid
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = Tsolid
boundary = 'outer' # outer RPV
coefficient = ${rpv_outer_htc}
T_infinity = ${rpv_outer_Tinf}
[]
[]
[ThermalContact]
[RPV_gap]
type = GapHeatTransfer
gap_geometry_type = 'CYLINDER'
emissivity_primary = 0.8
emissivity_secondary = 0.8
variable = Tsolid
primary = 'core_outer'
secondary = 'rpv_inner'
gap_conductivity = 0.1
quadrature = true
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 5'
[]
[]
[AuxVariables]
[power_density]
block = '${core_blocks}'
initial_condition = 50e3
[]
[]
[Materials]
[simple_mat]
type = HeatConductionMaterial
thermal_conductivity = 34.6 # W/m/K
[]
[]
[Postprocessors]
[Tcore_avg]
type = ElementAverageValue
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${core_blocks}'
[]
[Tcore_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${core_blocks}'
[]
[Trpv_avg]
type = ElementAverageValue
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_max]
type = ElementExtremeValue
value_type = max
variable = Tsolid
block = '${rpv_blocks}'
[]
[Trpv_min]
type = ElementExtremeValue
value_type = min
variable = Tsolid
block = '${rpv_blocks}'
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = '${core_blocks}'
[]
[rpv_convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = Tsolid
boundary = 'outer' # outer RVP
T_fluid = ${rpv_outer_Tinf}
htc = ${rpv_outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(rpv_convective_out - ptot) / ptot'
pp_names = 'rpv_convective_out ptot'
[]
[]
[Executioner]
type = Steady
automatic_scaling = true
compute_scaling_once = false
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart '
petsc_options_value = 'hypre boomeramg 100'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_max_its = 100
[Quadrature]
side_order = seventh
[]
line_search = none
[]
[Outputs]
exodus = false
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_3D.i)
outer_htc = 10 # W/m^2/K
outer_Tinf = 300 # K
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
[left_block]
type = GeneratedMeshGenerator
dim = 3
nx = 3
ny = 6
nz = 6
xmin = -1
xmax = -0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
elem_type = HEX27
[]
[left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3 4 5'
new_boundary = 'left_bottom left_back left_right left_front left_left left_top'
[]
[left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[]
[right_block]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 8
nz = 8
xmin = 0.5
xmax = 1
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
elem_type = HEX27
[]
[right_block_sidesets]
type = RenameBoundaryGenerator
input = right_block
old_boundary = '0 1 2 3 4 5'
# new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
new_boundary = '100 101 102 103 104 105'
[]
[right_block_sidesets_rename]
type = RenameBoundaryGenerator
input = right_block_sidesets
old_boundary = '100 101 102 103 104 105'
new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
[]
[right_block_id]
type = SubdomainIDGenerator
input = right_block_sidesets_rename
subdomain_id = 2
[]
[combined_mesh]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_id'
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[]
[]
[Variables]
[temp]
initial_condition = 500
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[power_density]
block = 1
initial_condition = 50e3
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
[]
[heat_source]
type = CoupledForce
variable = temp
block = 1
v = power_density
[]
[]
[AuxKernels]
[gap_cond]
type = MaterialRealAux
property = gap_conductance
variable = gap_conductance
boundary = 'left_right'
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 34.6
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 'right_left'
secondary = 'left_right'
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 5
gap_geometry_type = PLATE
[]
[]
[BCs]
[RPV_out_BC] # k \nabla T = h (T- T_inf) at RPV outer boundary
type = ConvectiveFluxFunction # (Robin BC)
variable = temp
boundary = 'right_right' # outer RPV
coefficient = ${outer_htc}
T_infinity = ${outer_Tinf}
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
dt = 1
dtmin = 0.01
end_time = 1
nl_rel_tol = 1e-12
nl_abs_tol = 1e-8
[Quadrature]
order = fifth
side_order = seventh
[]
[]
[Outputs]
exodus = true
csv = true
[Console]
type = Console
[]
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 'left_right'
variable = temp
[]
[temp_right]
type = SideAverageValue
boundary = 'right_left'
variable = temp
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 'left_right'
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 'right_left'
diffusivity = thermal_conductivity
[]
[ptot]
type = ElementIntegralVariablePostprocessor
variable = power_density
block = 1
[]
[convective_out]
type = ConvectiveHeatTransferSideIntegral
T_solid = temp
boundary = 'right_right' # outer RVP
T_fluid = ${outer_Tinf}
htc = ${outer_htc}
[]
[heat_balance] # should be equal to 0 upon convergence
type = ParsedPostprocessor
expression = '(convective_out - ptot) / ptot'
pp_names = 'convective_out ptot'
[]
[]
[VectorPostprocessors]
[NodalTemperature]
type = NodalValueSampler
sort_by = id
boundary = 'left_right right_left'
variable = temp
[]
[]