- 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
HeatConduction
buildconstruction:Undocumented Class
The HeatConduction has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
Computes residual/Jacobian contribution for term.
Overview
Example Input File Syntax
Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- diffusion_coefficientthermal_conductivityProperty name of the diffusivity
Default:thermal_conductivity
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Property name of the diffusivity
- diffusion_coefficient_dTthermal_conductivity_dTProperty name of the derivative of the diffusivity with respect to the variable (Default: thermal_conductivity_dT)
Default:thermal_conductivity_dT
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Property name of the derivative of the diffusivity with respect to the variable (Default: thermal_conductivity_dT)
- 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 Kernel'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 Kernel'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 Kernel'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 Kernel'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_meshTrueWhether 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:True
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/combined/test/tests/elastic_thermal_patch/elastic_thermal_jacobian_rz_smp.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no4.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_sphere3D.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/thermal_test.i)
- (modules/combined/test/tests/reference_residual/reference_residual.i)
- (modules/combined/test/tests/break_mesh_interface_contact/break_mesh_interface_contact.i)
- (modules/heat_transfer/test/tests/multiple_radiation_cavities/multiple_radiation_cavities.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/ref.i)
- (modules/heat_transfer/test/tests/transient_heat/transient_heat.i)
- (modules/heat_transfer/test/tests/truss_heat_conduction/block_w_line.i)
- (modules/heat_transfer/test/tests/radiative_bcs/function_radiative_bc.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/gap_conductivity_property.i)
- (modules/functional_expansion_tools/examples/3D_volumetric_Cartesian/main.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_rz_cylinder.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfect.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_rz_cylinder_mortar.i)
- (modules/combined/test/tests/reference_residual/reference_residual_perfgraph.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_syntax.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/modular_gap_heat_transfer_mortar.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no5.i)
- (modules/heat_transfer/test/tests/thin_layer_heat_transfer/steady_3d.i)
- (modules/combined/examples/optimization/thermomechanical/thermal_sub.i)
- (modules/heat_transfer/test/tests/convective_heat_flux/flux.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder.i)
- (modules/functional_expansion_tools/examples/2D_volumetric_Cartesian/main.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D.i)
- (modules/combined/test/tests/umat/gap_heat_transfer_umat.i)
- (modules/combined/test/tests/restart-transient-from-ss-with-stateful/parent_ss.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfectQ9.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_rz_cylinder.i)
- (modules/heat_transfer/test/tests/truss_heat_conduction/line.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_radiation/sphere.i)
- (modules/combined/test/tests/heat_convection/heat_convection_rz_test.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_xy.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_3D_mortar.i)
- (modules/heat_transfer/test/tests/laser_bc_flux/test.i)
- (modules/combined/test/tests/heat_convection/heat_convection_3d_test.i)
- (modules/combined/test/tests/thermo_mech/thermo_mech.i)
- (modules/functional_expansion_tools/examples/3D_volumetric_Cartesian_different_submesh/main.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_yz.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no2.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_rz_test.i)
- (modules/heat_transfer/test/tests/radiation_transfer_action/cavity_with_pillar_vf.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no3.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_rspherical.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_3D.i)
- (modules/functional_expansion_tools/examples/3D_volumetric_cylindrical/main.i)
- (modules/heat_transfer/test/tests/semiconductor_linear_conductivity/steinhart-hart_linear.i)
- (modules/heat_transfer/test/tests/convective_flux_function/convective_flux_function.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfectQ8.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_radiation/gap_heat_transfer_radiation_test.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_xz.i)
- (modules/combined/test/tests/restart-transient-from-ss-with-stateful/parent_tr.i)
- (modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch.i)
- (modules/combined/test/tests/stateful_mortar_constraints/stateful_mortar_npr.i)
- (modules/combined/examples/thermomechanics/circle_thermal_expansion_stress.i)
- (modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_rz_quad8.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfect_split.i)
- (modules/combined/test/tests/fdp_geometric_coupling/fdp_geometric_coupling.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/1D.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_yz.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_sphere3D_mortar.i)
- (modules/combined/tutorials/introduction/thermal_mechanical_contact/thermomech_cont_step02.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_cylinder_mortar.i)
- (modules/combined/test/tests/elastic_thermal_patch/ad_elastic_thermal_weak_plane_stress_jacobian.i)
- (modules/heat_transfer/test/tests/homogenization/homogenize_tc_hex.i)
- (modules/combined/test/tests/thermal_conductivity_temperature_function_test/thermal_conductivity_temperature_function_test.i)
- (modules/heat_transfer/test/tests/gray_lambert_radiator/coupled_heat_conduction.i)
- (modules/combined/test/tests/combined_plasticity_temperature/plasticity_temperature_dep_yield.i)
- (modules/combined/test/tests/heat_conduction_xfem/heat.i)
- (modules/heat_transfer/test/tests/thin_layer_heat_transfer/transient_2d.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no1.i)
- (modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_no_action.i)
- (modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_gap_thermal_contact_constant_conductance.i)
- (modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/three_materials_thermal.i)
- (tutorials/tutorial03_verification/app/test/tests/step03_analytical/1d_analytical.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_it_plot_test.i)
- (modules/combined/test/tests/axisymmetric_2d3d_solution_function/2d.i)
- (modules/heat_transfer/test/tests/heat_conduction/min_gap/min_gap.i)
- (modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action_external_boundary.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no2.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no4.i)
- (modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_change_restart1.i)
- (modules/combined/tutorials/introduction/thermal_mechanical_contact/thermomech_cont_step01.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_cylinder.i)
- (modules/combined/test/tests/inelastic_strain/creep/creep_nl1.i)
- (modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch_rz.i)
- (modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_gap_thermal_contact.i)
- (modules/heat_transfer/test/tests/radiation_transfer_symmetry/cavity_with_pillars.i)
- (modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/moving.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl3D.i)
- (modules/heat_transfer/test/tests/homogenization/heatConduction2D.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/second_order.i)
- (modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_quad_template.i)
- (modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_change.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_mortar.i)
- (modules/functional_expansion_tools/examples/2D_interface_different_submesh/main.i)
- (modules/combined/test/tests/heat_convection/heat_convection_rz_tf_test.i)
- (modules/combined/test/tests/gap_heat_transfer_convex/gap_heat_transfer_convex_gap_offsets.i)
- (modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action_external_boundary_ray_tracing.i)
- (modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_annulus_thermal_contact.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/nonmatching.i)
- (modules/combined/test/tests/thermal_strain/thermal_strain.i)
- (modules/combined/test/tests/optimization/thermal_sensitivity/2d_root.i)
- (modules/heat_transfer/tutorials/introduction/therm_step03.i)
- (modules/functional_expansion_tools/examples/3D_volumetric_Cartesian_direct/main.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/sphere3D.i)
- (modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_change_restart2.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_htonly/sphere2DRZ.i)
- (modules/heat_transfer/test/tests/heat_source_bar/heat_source_bar.i)
- (modules/functional_expansion_tools/examples/2D_interface/main.i)
- (modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/nonmatching.i)
- (modules/functional_expansion_tools/examples/1D_volumetric_Cartesian/main.i)
- (modules/heat_transfer/test/tests/truss_heat_conduction/strip.i)
- (modules/combined/examples/xfem/xfem_thermomechanics_stress_growth.i)
- (modules/heat_transfer/test/tests/multiple_contact_pairs/multiple_contact_pairs.i)
- (modules/combined/test/tests/nodal_patch_recovery/npr_with_lower_domains.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no2.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no1.i)
- (modules/combined/examples/stochastic/graphite_ring_thermomechanics.i)
- (modules/functional_expansion_tools/examples/2D_interface/sub.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no5.i)
- (modules/heat_transfer/tutorials/introduction/therm_step02a.i)
- (modules/heat_transfer/test/tests/postprocessors/convective_ht_side_integral.i)
- (modules/heat_transfer/test/tests/truss_heat_conduction/rectangle_w_line.i)
- (modules/heat_transfer/tutorials/introduction/therm_step02.i)
- (modules/combined/test/tests/gap_heat_transfer_convex/gap_heat_transfer_convex.i)
- (modules/combined/test/tests/generalized_plane_strain_tm_contact/generalized_plane_strain_tm_contact.i)
- (modules/combined/test/tests/thermo_mech/thermo_mech_smp.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_xz.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no3.i)
- (modules/heat_transfer/test/tests/recover/recover.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no1.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_balance/large_gap_heat_transfer_test_sphere.i)
- (modules/combined/test/tests/heat_convection/heat_convection_3d_tf_test.i)
- (modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_weak_plane_stress_jacobian.i)
- (modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch_rz_smp.i)
- (modules/heat_transfer/tutorials/introduction/therm_step01.i)
- (modules/heat_transfer/tutorials/introduction/therm_step03a.i)
- (tutorials/tutorial03_verification/app/test/tests/step04_mms/2d_main.i)
- (modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_hex_template.i)
- (python/peacock/tests/common/transient_heat_test.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no3.i)
- (modules/heat_transfer/test/tests/convective_heat_flux/t_inf.i)
- (modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/second.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no5.i)
- (modules/heat_transfer/test/tests/verify_against_analytical/2d_steady_state.i)
- (modules/combined/test/tests/heat_convection/heat_convection_function.i)
- (modules/combined/tutorials/introduction/thermal_mechanical/thermomech_step01.i)
- (modules/heat_transfer/test/tests/radiation_transfer_symmetry/cavity_with_pillars_symmetry_bc.i)
- (modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/moving.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_test.i)
- (modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_hex20.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_mortar/ref-displaced.i)
- (modules/functional_expansion_tools/examples/2D_interface_different_submesh/sub.i)
- (modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_force_step.i)
- (modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_rz.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_radiation_test.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere.i)
- (modules/heat_transfer/test/tests/truss_heat_conduction/rectangle_w_strip.i)
- (modules/heat_transfer/test/tests/parallel_element_pps_test/parallel_element_pps_test.i)
- (modules/heat_transfer/test/tests/verify_against_analytical/1D_transient.i)
- (modules/heat_transfer/test/tests/joule_heating/transient_jouleheating.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_radiation/cylinder.i)
- (modules/heat_transfer/test/tests/transient_heat/transient_heat_derivatives.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_mortar/large_gap_heat_transfer_test_sphere_mortar.i)
- (modules/functional_expansion_tools/examples/3D_volumetric_cylindrical_subapp_mesh_refine/main.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no4.i)
- (modules/heat_transfer/test/tests/thin_layer_heat_transfer/transient_3d.i)
- (modules/heat_transfer/test/tests/radiative_bcs/radiative_bc_cyl.i)
- (modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_edge_template.i)
- (modules/heat_transfer/test/tests/gap_heat_transfer_htonly/corner_wrap.i)
- (modules/combined/examples/effective_properties/effective_th_cond.i)
- (modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action.i)
- (modules/heat_transfer/test/tests/thin_layer_heat_transfer/steady_2d.i)
- (modules/heat_transfer/test/tests/truss_heat_conduction/block_w_bar.i)
(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_jacobian_rz_smp.i)
# This problem is intended to exercise the Jacobian for coupled RZ
# problems. Only two iterations should be needed.
[GlobalParams]
temperature = temp
volumetric_locking_correction = true
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = elastic_thermal_patch_rz_test.e
[]
[Functions]
[./ur]
type = ParsedFunction
expression = '0'
[../]
[./uz]
type = ParsedFunction
expression = '0'
[../]
[./body]
type = ParsedFunction
expression = '-400/x'
[../]
[./temp]
type = ParsedFunction
expression = '117.56+100*t'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./temp]
initial_condition = 117.56
[../]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
displacements = 'disp_x disp_y'
[All]
displacements = 'disp_x disp_y'
add_variables = true
strain = SMALL
incremental = true
eigenstrain_names = eigenstrain
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[../]
[../]
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./ur]
type = FunctionDirichletBC
variable = disp_x
boundary = 1
function = ur
[../]
[./uz]
type = FunctionDirichletBC
variable = disp_y
boundary = 2
function = uz
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temp
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e6
poissons_ratio = 0.25
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeStrainIncrementBasedStress
[../]
[./heat]
type = HeatConductionMaterial
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[./density]
type = Density
density = 0.283
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_abs_tol = 1e-9
nl_rel_tol = 1e-12
l_max_its = 20
start_time = 0.0
dt = 1.0
num_steps = 1
end_time = 1.0
[]
[Outputs]
file_base = elastic_thermal_jacobian_rz_smp_out
[./exodus]
type = Exodus
execute_on = 'initial timestep_end nonlinear'
nonlinear_residual_dt_divisor = 100
[../]
[]
(modules/heat_transfer/test/tests/code_verification/cartesian_test_no4.i)
# Problem I.4
#
# An infinite plate with constant thermal conductivity k and internal
# heat generation q. The left boundary is exposed to a constant heat flux q0.
# The right boundary is exposed to a fluid with constant temperature uf and
# heat transfer coefficient h, which results in the convective boundary condition.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 1
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'q q0 k L uf h'
symbol_values = '1200 200 1 1 100 10.0'
expression = 'uf + (q0 + L * q)/h + 0.5 * ( 2 * q0 + q * (L + x)) * (L-x) / k'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./ui]
type = NeumannBC
boundary = left
variable = u
value = 200
[../]
[./uo]
type = CoupledConvectiveHeatFluxBC
boundary = right
variable = u
htc = 10.0
T_infinity = 100
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 1.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[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/compliance_sensitivity/thermal_test.i)
vol_frac = 0.4
cost_frac = 10.0
power = 2.0
E0 = 1.0e-6
E1 = 1.0
rho0 = 0.0
rho1 = 1.0
C0 = 1.0e-6
C1 = 1.0
TC0 = 1.0e-16
TC1 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '16 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '24 0 0'
[]
[extra]
type = SideSetsFromBoundingBoxGenerator
input = push_center
bottom_left = '-0.01 17.999 0'
top_right = '5 22.001 0'
boundary_new = n1
included_boundaries = left
[]
[dirichlet_bc]
type = SideSetsFromNodeSetsGenerator
input = extra
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Tc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = FIRST
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = thermal_cond
[]
[heat_source]
type = HeatSource
value = 1e-2 # W/m^3
variable = temp
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[left_n1]
type = DirichletBC
variable = temp
boundary = n1
value = 0.0
[]
[top]
type = NeumannBC
variable = temp
boundary = top
value = 0
[]
[bottom]
type = NeumannBC
variable = temp
boundary = bottom
value = 0
[]
[right]
type = NeumannBC
variable = temp
boundary = right
value = 0
[]
[left]
type = NeumannBC
variable = temp
boundary = left
value = 0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = 0.0 # -1e-8
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = 0.0 # -1e-8
mass = 1
[]
[]
[Materials]
[thermal_cond]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${TC0}-${TC1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${TC0}-A1*${rho0}^${power}; TC1:=A1*mat_den^${power}+B1; TC1"
coupled_variables = 'mat_den'
property_name = thermal_cond
outputs = 'exodus'
[]
[thermal_compliance]
type = ThermalCompliance
temperature = temp
thermal_conductivity = thermal_cond
outputs = 'exodus'
[]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; E1"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; C1"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[tc]
type = ThermalSensitivity
design_density = mat_den
thermal_conductivity = thermal_cond
temperature = temp
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_thermal]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e12 # 100
use_thermal_compliance = true
thermal_sensitivity = Tc
weight_mechanical_thermal = '0 1'
relative_tolerance = 1.0e-12
bisection_move = 0.015
adaptive_move = false
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Tc
[calc_sense_thermal]
type = SensitivityFilter
density_sensitivity = Tc
design_density = mat_den
filter_UO = rad_avg_thermal
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-12
dt = 1.0
num_steps = 5
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/combined/test/tests/reference_residual/reference_residual.i)
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
type = GeneratedMesh
dim = 3
nx = 4
ny = 4
nz = 4
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[./disp_z]
order = FIRST
family = LAGRANGE
[../]
[./temp]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./saved_x]
[../]
[./saved_y]
[../]
[./saved_z]
[../]
[./saved_t]
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
volumetric_locking_correction = true
incremental = true
save_in = 'saved_x saved_y saved_z'
eigenstrain_names = thermal_expansion
strain = FINITE
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
save_in = saved_t
extra_vector_tags = 'ref'
[../]
[]
[Functions]
[./pull]
type = PiecewiseLinear
x = '0 1 2'
y = '0 1 1'
scale_factor = 0.1
[../]
[]
[BCs]
[./bottom_x]
type = DirichletBC
variable = disp_x
boundary = bottom
value = 0.0
[../]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0.0
[../]
[./top_x]
type = DirichletBC
variable = disp_x
boundary = top
value = 0.0
[../]
[./top_y]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = pull
[../]
[./top_z]
type = DirichletBC
variable = disp_z
boundary = top
value = 0.0
[../]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = bottom
value = 10.0
[../]
[./top_temp]
type = DirichletBC
variable = temp
boundary = top
value = 20.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1.0
poissons_ratio = 0.3
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
block = 0
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 0
eigenstrain_name = thermal_expansion
temperature = temp
thermal_expansion_coeff = 1e-5
stress_free_temperature = 0.0
[../]
[./heat1]
type = HeatConductionMaterial
block = 0
specific_heat = 1.0
thermal_conductivity = 1e-3 #Tuned to give temperature reference resid close to that of solidmech
[../]
[./density]
type = Density
block = 0
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
l_tol = 1e-3
l_max_its = 100
dt = 1.0
end_time = 2.0
[]
[Postprocessors]
[./ref_resid_x]
type = NodalL2Norm
execute_on = timestep_end
variable = saved_x
[../]
[./ref_resid_y]
type = NodalL2Norm
execute_on = timestep_end
variable = saved_y
[../]
[./ref_resid_z]
type = NodalL2Norm
execute_on = timestep_end
variable = saved_z
[../]
[./ref_resid_t]
type = NodalL2Norm
execute_on = timestep_end
variable = saved_t
[../]
[./nonlinear_its]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/break_mesh_interface_contact/break_mesh_interface_contact.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
volumetric_locking_correction = true
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 5
ny = 5
dim = 2
[]
[block1]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 0'
top_right = '0.5 1 0'
input = gen
[]
[block2]
type = SubdomainBoundingBoxGenerator
block_id = 2
bottom_left = '0.5 0 0'
top_right = '1 1 0'
input = block1
[]
[breakmesh]
input = block2
type = BreakMeshByBlockGenerator
block_pairs = '1 2'
split_interface = true
add_interface_on_two_sides = true
[]
[]
[Variables]
[temperature]
[]
[disp_x]
[]
[disp_y]
[]
[]
[Kernels]
[thermal_cond]
type = HeatConduction
variable = temperature
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy strain_xx strain_yy'
add_variables = true
strain = FINITE
incremental = true
[block1]
block = 1
[]
[block2]
block = 2
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temperature
primary = Block1_Block2
secondary = Block2_Block1
emissivity_primary = 0
emissivity_secondary = 0
quadrature = true
gap_conductivity = 1
[]
[]
[Contact]
[mechanical]
primary = Block1_Block2
secondary = Block2_Block1
penalty = 1000
model = coulomb
friction_coefficient = 0.5
formulation = tangential_penalty
tangential_tolerance = 0.1
[]
[]
[BCs]
[left_temp]
type = DirichletBC
value = 100
variable = temperature
boundary = left
[]
[right_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = right
[]
[left_disp_x]
type = FunctionDirichletBC
variable = disp_x
boundary = left
function = 0
[]
[left_disp_y]
type = DirichletBC
variable = disp_y
boundary = left
value = 0.0
[]
[right_disp_x]
type = FunctionDirichletBC
variable = disp_x
boundary = right
function = '-t'
[]
[right_disp_y]
type = FunctionDirichletBC
variable = disp_y
boundary = right
function = '0'
[]
[]
[Materials]
[thermal_cond]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = 1
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 100
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Dampers]
[contact_slip]
type = ContactSlipDamper
secondary = Block1_Block2
primary = Block2_Block1
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_rel_tol = 1e-9
nl_abs_tol = 1e-9
l_tol = 1e-4
l_max_its = 50
nl_max_its = 20
start_time = 0.0
num_steps = 2
dtmin = 1e-8
dt = 1e-2
automatic_scaling = true
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
perf_graph = false
exodus = true
[]
(modules/heat_transfer/test/tests/multiple_radiation_cavities/multiple_radiation_cavities.i)
[Problem]
kernel_coverage_check = false
material_coverage_check = false
[]
[Mesh]
[cartesian]
type = CartesianMeshGenerator
dim = 2
dx = '0.5 4 1 4 0.5'
ix = '2 2 2 2 2'
dy = '0.3 10 1'
iy = '2 2 2'
subdomain_id = '1 2 3 4 5
6 7 8 9 10
11 12 13 14 15'
[]
[add_side_left_left]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 6
paired_block = 7
new_boundary = left_left
input = cartesian
[]
[add_side_left_bottom]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 7
new_boundary = left_bottom
input = add_side_left_left
[]
[add_side_left_right]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 8
paired_block = 7
new_boundary = left_right
input = add_side_left_bottom
[]
[add_side_left_top]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 12
paired_block = 7
new_boundary = left_top
input = add_side_left_right
[]
[add_side_right_left]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 8
paired_block = 9
new_boundary = right_left
input = add_side_left_top
[]
[add_side_right_bottom]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 4
paired_block = 9
new_boundary = right_bottom
input = add_side_right_left
[]
[add_side_right_right]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 10
paired_block = 9
new_boundary = right_right
input = add_side_right_bottom
[]
[add_side_right_top]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 14
paired_block = 9
new_boundary = right_top
input = add_side_right_right
[]
[]
[GrayDiffuseRadiation]
[left]
boundary = 'left_left left_right left_bottom left_top'
emissivity = '0.8 0.8 0.9 0.5'
n_patches = '2 2 2 2'
temperature = temperature
ray_tracing_face_order = SECOND
[]
[right]
boundary = 'right_left right_right right_bottom right_top'
emissivity = '0.8 0.8 0.9 0.5'
n_patches = '2 2 2 2'
temperature = temperature
ray_tracing_face_order = SECOND
[]
[]
[Variables]
[temperature]
block = '1 2 3 4 5 6 8 10 11 12 13 14 15'
initial_condition = 300
[]
[]
[Kernels]
[conduction]
type = HeatConduction
variable = temperature
diffusion_coefficient = 10
block = '1 2 3 4 5 6 8 10 11 12 13 14 15'
[]
[]
[BCs]
[bottom]
type = DirichletBC
variable = temperature
value = 300
boundary = bottom
[]
[top]
type = DirichletBC
variable = temperature
value = 400
boundary = top
[]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/ref.i)
[Mesh]
file = 3blk.e
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
block = '1 2 3'
[../]
[]
[Materials]
[./left]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 1000
specific_heat = 1
[../]
[./right]
type = HeatConductionMaterial
block = 2
thermal_conductivity = 500
specific_heat = 1
[../]
[./middle]
type = HeatConductionMaterial
block = 3
thermal_conductivity = 100
specific_heat = 1
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
use_displaced_mesh = false
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = 'left'
value = 1
[../]
[./right]
type = DirichletBC
variable = temp
boundary = 'right'
value = 0
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-11
l_tol = 1e-11
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/transient_heat/transient_heat.i)
[Mesh]
file = cube.e
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./ie]
type = SpecificHeatConductionTimeDerivative
variable = u
[../]
[]
[BCs]
[./bottom]
type = DirichletBC
variable = u
boundary = 1
value = 0.0
[../]
[./top]
type = DirichletBC
variable = u
boundary = 2
value = 1.0
[../]
[]
[Materials]
[./constant]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 1
specific_heat = 1
[../]
[./density]
type = GenericConstantMaterial
block = 1
prop_names = density
prop_values = 1
[../]
[]
[Executioner]
type = Transient
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 5
dt = .1
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/truss_heat_conduction/block_w_line.i)
[Mesh]
parallel_type = 'replicated'
[block]
type = GeneratedMeshGenerator
dim = 3
nx = 3
ny = 50
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -1.25
ymax = 1.25
zmin = -0.04
zmax = 0.04
boundary_name_prefix = block
[]
[block_id]
type = SubdomainIDGenerator
input = block
subdomain_id = 1
[]
[line]
type = GeneratedMeshGenerator
dim = 1
xmin = -0.5
xmax = 0.5
nx = 10
boundary_name_prefix = line
boundary_id_offset = 10
[]
[line_id]
type = SubdomainIDGenerator
input = line
subdomain_id = 2
[]
[combined]
type = MeshCollectionGenerator
inputs = 'block_id line_id'
[]
[line_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'block line'
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time_derivative]
type = HeatConductionTimeDerivative
variable = temperature
block = 'block'
[]
[heat_conduction]
type = HeatConduction
variable = temperature
block = 'block'
[]
[time_derivative_line]
type = TrussHeatConductionTimeDerivative
variable = temperature
area = area
block = 'line'
[]
[heat_conduction_line]
type = TrussHeatConduction
variable = temperature
area = area
block = 'line'
[]
[]
[AuxVariables]
[area]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[area]
type = ConstantAux
variable = area
value = 0.008
execute_on = 'initial timestep_begin'
[]
[]
[Constraints]
[equalvalue]
type = EqualValueEmbeddedConstraint
secondary = 'line'
primary = 'block'
penalty = 1e6
formulation = kinematic
primary_variable = temperature
variable = temperature
[]
[]
[Materials]
[block]
type = GenericConstantMaterial
block = 'block'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[line]
type = GenericConstantMaterial
block = 'line'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '10.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[]
[BCs]
[right]
type = FunctionDirichletBC
variable = temperature
boundary = 'block_right line_right'
function = '10*t'
[]
[]
[VectorPostprocessors]
[x_n0_25]
type = LineValueSampler
start_point = '-0.25 0 0'
end_point = '-0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[x_0_25]
type = LineValueSampler
start_point = '0.25 0 0'
end_point = '0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[]
[Executioner]
type = Transient
start_time = 0
dt = 1
end_time = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = 'csv/block_w_line'
time_data = true
[]
[]
(modules/heat_transfer/test/tests/radiative_bcs/function_radiative_bc.i)
#
# If we assume that epsilon*sigma*(T_inf^4-T_s^4) is approximately equal to
# epsilon*sigma*4*T_inf^3*(T_inf-T_s), that form is equivalent to
# h*(T_inf-T_s), the convective flux bc. So, the radiative and convective
# flux bcs should give nearly the same answer if the leading terms are equal.
#
[Mesh]
[top]
type = GeneratedMeshGenerator
dim = 3
nx = 10
bias_x = 0.8
ymin = 1.2
ymax = 2.2
boundary_name_prefix = top
[]
[bottom]
type = GeneratedMeshGenerator
dim = 3
nx = 10
bias_x = 0.8
boundary_name_prefix = bot
boundary_id_offset = 6
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'top bottom'
[]
[]
[Variables]
[temp]
initial_condition = 600.0
[]
[]
[Kernels]
[heat_dt]
type = TimeDerivative
variable = temp
[]
[heat_conduction]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[./top_right]
type = ConvectiveHeatFluxBC
variable = temp
boundary = top_right
T_infinity = 300.0
heat_transfer_coefficient = 3.0
heat_transfer_coefficient_dT = 0
[../]
[./bot_right]
type = FunctionRadiativeBC
variable = temp
boundary = bot_right
# htc/(stefan-boltzmann*4*T_inf^3)
emissivity_function = '3/(5.670367e-8*4*300*300*300)'
[../]
[]
[Materials]
[./thermal]
type = GenericConstantMaterial
prop_names = 'density thermal_conductivity specific_heat'
prop_values = '1 10 100'
[../]
[]
[Postprocessors]
[./top_left_temp]
type = SideAverageValue
variable = temp
boundary = top_left
execute_on = 'TIMESTEP_END initial'
[../]
[./bot_left_temp]
type = SideAverageValue
variable = temp
boundary = bot_left
execute_on = 'TIMESTEP_END initial'
[../]
[./top_right_temp]
type = SideAverageValue
variable = temp
boundary = top_right
[../]
[./bot_right_temp]
type = SideAverageValue
variable = temp
boundary = bot_right
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 1e1
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/gap_conductivity_property.i)
[Mesh]
file = perfect.e
[]
[Variables]
[./temp]
[../]
[]
[AuxVariables]
[./gap_conductivity]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[AuxKernels]
[./gap_conductivity]
type = MaterialRealAux
boundary = leftright
property = gap_conductivity
variable = gap_conductivity
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 300
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
type = GapHeatTransfer
gap_conductivity = 3.0
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
exodus = true
[]
(modules/functional_expansion_tools/examples/3D_volumetric_Cartesian/main.i)
# Basic example coupling a master and sub app in a 3D Cartesian volume.
#
# The master app provides field values to the sub app via Functional Expansions, which then performs
# its calculations. The sub app's solution field values are then transferred back to the master app
# and coupled into the solution of the master app solution.
#
# This example couples Functional Expansions via AuxVariable.
#
# Note: this problem is not light, and may take a few minutes to solve.
[Mesh]
type = GeneratedMesh
dim = 3
xmin = 0.0
xmax = 10.0
nx = 15
ymin = 1.0
ymax = 11.0
ny = 25
zmin = 2.0
zmax = 12.0
nz = 35
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./s_in]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = CoupledForce
variable = m
v = s_in
[../]
[]
[AuxKernels]
[./reconstruct_s_in]
type = FunctionSeriesToAux
variable = s_in
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'top bottom left right front back'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '3 4 5'
physical_bounds = '0.0 10.0 1.0 11.0 2.0 12.0'
x = Legendre
y = Legendre
z = Legendre
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(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/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfect.i)
[Mesh]
file = perfect.e
[]
[Variables]
[./temp]
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 300
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
type = GapHeatTransfer
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
exodus = true
[]
(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/combined/test/tests/reference_residual/reference_residual_perfgraph.i)
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
type = GeneratedMesh
dim = 3
nx = 4
ny = 4
nz = 4
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[./disp_z]
order = FIRST
family = LAGRANGE
[../]
[./temp]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./saved_x]
[../]
[./saved_y]
[../]
[./saved_z]
[../]
[./saved_t]
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
volumetric_locking_correction = true
incremental = true
save_in = 'saved_x saved_y saved_z'
eigenstrain_names = thermal_expansion
strain = FINITE
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
save_in = saved_t
extra_vector_tags = 'ref'
[../]
[]
[Functions]
[./pull]
type = PiecewiseLinear
x = '0 1 2'
y = '0 1 1'
scale_factor = 0.1
[../]
[]
[BCs]
[./bottom_x]
type = DirichletBC
variable = disp_x
boundary = bottom
value = 0.0
[../]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0.0
[../]
[./top_x]
type = DirichletBC
variable = disp_x
boundary = top
value = 0.0
[../]
[./top_y]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = pull
[../]
[./top_z]
type = DirichletBC
variable = disp_z
boundary = top
value = 0.0
[../]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = bottom
value = 10.0
[../]
[./top_temp]
type = DirichletBC
variable = temp
boundary = top
value = 20.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1.0
poissons_ratio = 0.3
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
block = 0
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 0
eigenstrain_name = thermal_expansion
temperature = temp
thermal_expansion_coeff = 1e-5
stress_free_temperature = 0.0
[../]
[./heat1]
type = HeatConductionMaterial
block = 0
specific_heat = 1.0
thermal_conductivity = 1e-3 #Tuned to give temperature reference resid close to that of solidmech
[../]
[./density]
type = Density
block = 0
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
l_tol = 1e-3
l_max_its = 100
dt = 1.0
end_time = 2.0
[]
[Postprocessors]
[./res_calls]
type = PerfGraphData
section_name = "ReferenceResidualProblem::computeResidualInternal"
data_type = calls
[../]
[./elapsed]
type = PerfGraphData
section_name = "Root"
data_type = total
[../]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_syntax.i)
#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each. Each
# element is a unit cube. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit. The temperature of the far right
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
#
# The heat flux across the gap at time = 1 is then:
#
# Flux(2) = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors
#
# This test has been augmented with a second scalar field that solves nearly
# the same problem. The conductivity has been changed to 10. Thus, the
# flux for the second field is 1000.
#
[Mesh]
file = gap_heat_transfer_htonly_test.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[Modules/HeatTransfer/ThermalContact/BC]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[./awesomium_contact]
type = GapHeatTransfer
variable = awesomium
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 10
appended_property_name = _awesomium
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[./awesomium]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[./gap_cond_awesomium]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./awe]
type = HeatConduction
variable = awesomium
[../]
[]
[BCs]
[./temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[./awesomium_far_left]
type = FunctionDirichletBC
boundary = 1
variable = awesomium
function = temp
[../]
[./awesomium_far_right]
type = DirichletBC
boundary = 4
variable = awesomium
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[./conductance_awe]
type = MaterialRealAux
property = gap_conductance_awesomium
variable = gap_cond_awesomium
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-12
l_tol = 1e-3
l_max_its = 100
dt = 1e-1
end_time = 1.0
[]
[Postprocessors]
[./temp_left]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_right]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./awe_left]
type = SideAverageValue
boundary = 2
variable = awesomium
execute_on = 'initial timestep_end'
[../]
[./awe_right]
type = SideAverageValue
boundary = 3
variable = awesomium
execute_on = 'initial timestep_end'
[../]
[./awe_flux_left]
type = SideDiffusiveFluxIntegral
variable = awesomium
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./awe_flux_right]
type = SideDiffusiveFluxIntegral
variable = awesomium
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/modular_gap_heat_transfer_mortar.i)
[Mesh]
[file]
type = FileMeshGenerator
file = 2blk-gap.e
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = '101'
new_block_id = '10001'
new_block_name = 'secondary_lower'
input = file
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = '100'
new_block_id = '10000'
new_block_name = 'primary_lower'
input = secondary
[]
[]
[Problem]
kernel_coverage_check = false
material_coverage_check = false
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
block = '1 2'
[]
[lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
[]
[]
[Materials]
[left]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 1000
specific_heat = 1
[]
[right]
type = HeatConductionMaterial
block = 2
thermal_conductivity = 500
specific_heat = 1
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temp
use_displaced_mesh = false
block = '1 2'
[]
[]
[UserObjects]
[simple]
type = GapFluxModelSimple
k = 100
temperature = temp
boundary = 100
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = temp
primary_boundary = 100
primary_subdomain = 10000
secondary_boundary = 101
secondary_subdomain = 10001
gap_flux_models = simple
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temp
boundary = 'left'
value = 1
[]
[right]
type = DirichletBC
variable = temp
boundary = 'right'
value = 0
[]
[]
[Preconditioning]
[fmp]
type = SMP
full = true
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-11
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/spherical_test_no5.i)
# Problem III.5
#
# A solid sphere has a spatially dependent internal heating. It has a constant thermal
# conductivity. It is exposed to a constant temperature on its boundary.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RSPHERICAL
[]
[Functions]
[./volumetric_heat]
type = ParsedFunction
symbol_names = 'q ro beta'
symbol_values = '1200 1 0.1'
expression = 'q * (1-beta*(x/ro)^2)'
[../]
[./exact]
type = ParsedFunction
symbol_names = 'uf q k ro beta'
symbol_values = '300 1200 1 1 0.1'
expression = 'uf + (q*ro^2/(6*k)) * ( (1-(x/ro)^2) - 0.3*beta*(1-(x/ro)^4) )'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = volumetric_heat
variable = u
[../]
[]
[BCs]
[./uo]
type = DirichletBC
boundary = 'right'
variable = u
value = 300
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 1.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/thin_layer_heat_transfer/steady_3d.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 10
ny = 10
nz = 2
zmax = 0.2
dim = 3
[]
[block1]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 0'
top_right = '0.5 1 0.2'
input = gen
[]
[block2]
type = SubdomainBoundingBoxGenerator
block_id = 2
bottom_left = '0.5 0 0'
top_right = '1 1 0.2'
input = block1
[]
[breakmesh]
input = block2
type = BreakMeshByBlockGenerator
block_pairs = '1 2'
split_interface = true
add_interface_on_two_sides = true
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[thermal_cond]
type = HeatConduction
variable = temperature
[]
[]
[InterfaceKernels]
[thin_layer]
type = ThinLayerHeatTransfer
thermal_conductivity = thermal_conductivity_layer
thickness = 0.01
variable = temperature
neighbor_var = temperature
boundary = Block1_Block2
[]
[]
[BCs]
[left_temp]
type = DirichletBC
value = 100
variable = temperature
boundary = left
[]
[right_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = right
[]
[]
[Materials]
[thermal_cond]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '1'
[]
[thermal_cond_layer]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity_layer'
prop_values = '0.05'
boundary = Block1_Block2
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
dt = 0.05
num_steps = 1
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/combined/examples/optimization/thermomechanical/thermal_sub.i)
vol_frac = 0.4
power = 2.0
E0 = 1.0e-6
E1 = 1.0
rho0 = 0.0
rho1 = 1.0
C0 = 1.0e-6
C1 = 1.0
TC0 = 1.0e-16
TC1 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 40
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '16 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '24 0 0'
[]
[extra]
type = SideSetsFromBoundingBoxGenerator
input = push_center
bottom_left = '-0.01 17.999 0'
top_right = '5 22.001 0'
boundary_new = n1
boundaries_old = left
[]
[dirichlet_bc]
type = SideSetsFromNodeSetsGenerator
input = extra
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Tc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = FIRST
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = thermal_cond
[]
[heat_source]
type = HeatSource
value = 1e-2 # W/m^3
variable = temp
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[left_n1]
type = DirichletBC
variable = temp
boundary = n1
value = 0.0
[]
[top]
type = NeumannBC
variable = temp
boundary = top
value = 0
[]
[bottom]
type = NeumannBC
variable = temp
boundary = bottom
value = 0
[]
[right]
type = NeumannBC
variable = temp
boundary = right
value = 0
[]
[left]
type = NeumannBC
variable = temp
boundary = left
value = 0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = 0.0 # -1e-8
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = 0.0 # -1e-8
mass = 1
[]
[]
[Materials]
[thermal_cond]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${TC0}-${TC1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${TC0}-A1*${rho0}^${power}; TC1:=A1*mat_den^${power}+B1; TC1"
coupled_variables = 'mat_den'
property_name = thermal_cond
outputs = 'exodus'
[]
[thermal_compliance]
type = ThermalCompliance
temperature = temp
thermal_conductivity = thermal_cond
outputs = 'exodus'
[]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; E1"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; C1"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[tc]
type = ThermalSensitivity
design_density = mat_den
thermal_conductivity = thermal_cond
temperature = temp
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_thermal]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Tc
[calc_sense_thermal]
type = SensitivityFilter
density_sensitivity = Tc
design_density = mat_den
filter_UO = rad_avg_thermal
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-12
dt = 1.0
num_steps = 500
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/heat_transfer/test/tests/convective_heat_flux/flux.i)
# This is a test of the ConvectiveHeatFluxBC.
# 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.
[Mesh]
type = GeneratedMesh
dim = 2
[]
[Problem]
extra_tag_vectors = 'bcs'
[]
[Variables]
[./temp]
initial_condition = 100.0
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = 10
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = left
value = 100.0
[../]
[./right]
type = ConvectiveHeatFluxBC
variable = temp
boundary = right
T_infinity = 200.0
heat_transfer_coefficient = 10
heat_transfer_coefficient_dT = 0
[../]
[]
[Postprocessors]
[./right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[../]
[]
[Executioner]
type = Transient
num_steps = 1.0
nl_rel_tol = 1e-12
[]
[Outputs]
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/functional_expansion_tools/examples/2D_volumetric_Cartesian/main.i)
# Basic example coupling a master and sub app in a 2D Cartesian volume.
#
# The master app provides field values to the sub app via Functional Expansions, which then performs
# its calculations. The sub app's solution field values are then transferred back to the master app
# and coupled into the solution of the master app solution.
#
# This example couples Functional Expansions via AuxVariable.
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0.0
xmax = 10.0
nx = 15
ymin = 1.0
ymax = 11.0
ny = 25
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./s_in]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = CoupledForce
variable = m
v = s_in
[../]
[]
[AuxKernels]
[./reconstruct_s_in]
type = FunctionSeriesToAux
variable = s_in
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'top bottom left right'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '3 4'
physical_bounds = '0.0 10.0 1.0 11.0'
x = Legendre
y = Legendre
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D.i)
#
# 2D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2 in the x-y plane. In other words,
# the gap between them is 1 radial unit in length.
#
# The conductivity of both cylinders is set very large to achieve a uniform
# temperature in each cylinder. The temperature of the center node of the
# inner cylinder is ramped from 100 to 200 over one time unit. The temperature
# of the outside of the outer, hollow cylinder is held fixed at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer cylinders:
#
# Integrated Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 2 * pi * h * r, where h is the height of the cylinder.
#
# The integrated heat flux across the gap at time 1 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*1*100/(ln(2/1)) = 906.5 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/4 of the cylinders is meshed
# As such, the integrated flux from the post processors is 1/4 of the total,
# or 226.6 watts.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
# Note that the 2D and 3D results are the same.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
# -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
file = cyl2D.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[../]
[]
[Variables]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
[../]
[]
[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 = 1000000.0
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 1
quadrature = true
gap_geometry_type = CYLINDER
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 0 1'
[../]
[]
[BCs]
[./mid]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[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
[./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
[../]
[]
(modules/combined/test/tests/umat/gap_heat_transfer_umat.i)
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
temperature = temp
[]
[Mesh]
file = gap_heat_transfer_mesh.e
[]
[Functions]
[disp]
type = PiecewiseLinear
x = '0 2.0'
y = '0 1.0'
[]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '273 2000'
[]
[pressure_function]
type = PiecewiseLinear
x = '0 1'
y = '0 200'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temp]
initial_condition = 273
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 2
secondary = 3
emissivity_primary = 0
emissivity_secondary = 0
[]
[]
[Physics/SolidMechanics/QuasiStatic/All]
volumetric_locking_correction = true
strain = FINITE
generate_output = 'strain_yy stress_yy'
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[move_right]
type = FunctionDirichletBC
boundary = '3'
variable = disp_x
function = disp
[]
[fixed_x]
type = DirichletBC
boundary = '1'
variable = disp_x
value = 0
[]
[fixed_y]
type = DirichletBC
boundary = '1 2 4'
variable = disp_y
value = 0
[]
[fixed_z]
type = DirichletBC
boundary = '1 2 3 4'
variable = disp_z
value = 0
[]
[temp_bottom]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[]
[temp_top]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[]
[Pressure]
[example]
boundary = 3
function = pressure_function
[]
[]
[]
[Materials]
# 1. Active for umat calculation
[umat]
type = AbaqusUMATStress
constant_properties = '1.0e6 0.3'
plugin = '../../../../solid_mechanics/test/plugins/elastic_temperature'
num_state_vars = 0
temperature = temp
use_one_based_indexing = true
[]
# 2. Active for reference MOOSE computations
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = '1 2'
base_name = 'base'
youngs_modulus = 1e6
poissons_ratio = 0.3
[]
[temp_dependent_elasticity_tensor]
type = CompositeElasticityTensor
block = '1 2'
args = temp
tensors = 'base'
weights = 'prefactor_material'
[]
[prefactor_material_block]
type = DerivativeParsedMaterial
block = '1 2'
property_name = prefactor_material
coupled_variables = temp
expression = '273/(temp)'
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = '1 2'
[]
[heat]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 1.0
[]
[density]
type = Density
block = '1 2'
density = 1.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
dt = 0.1
end_time = 2.0
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/restart-transient-from-ss-with-stateful/parent_ss.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 8
ny = 8
xmin = -82.627
xmax = 82.627
ymin = -82.627
ymax = 82.627
dim = 2
[]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 500
[../]
[]
[AuxVariables]
[./power]
order = FIRST
family = L2_LAGRANGE
initial_condition = 350
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_source_fuel]
type = CoupledForce
variable = temp
v = 'power'
[../]
[]
[BCs]
[./all]
type = DirichletBC
variable = temp
boundary = 'bottom top left right'
value = 300
[../]
[]
[Materials]
[./heat_material]
type = HeatConductionMaterial
temp = temp
specific_heat = 1000
thermal_conductivity = 500
[../]
[./density]
type = Density
density = 2000
[../]
[]
[Postprocessors]
[./avg_temp]
type = ElementAverageValue
variable = temp
execute_on = 'initial timestep_end'
[../]
[./avg_power]
type = ElementAverageValue
variable = power
[../]
[]
[Executioner]
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 300'
line_search = 'none'
l_tol = 1e-05
nl_rel_tol = 1e-12
nl_abs_tol = 1e-9
l_max_its = 50
nl_max_its = 25
[]
[Outputs]
perf_graph = true
color = true
exodus = true
[checkpoint]
type = Checkpoint
num_files = 2
additional_execute_on = 'FINAL' # seems to be a necessary to avoid a Checkpoint bug
[]
[]
[MultiApps]
[./bison]
type = FullSolveMultiApp
positions = '0 0 0'
input_files = 'sub_ss.i'
execute_on = 'timestep_end'
[../]
[]
[Transfers]
[./to_bison_mechanics]
type = MultiAppProjectionTransfer
to_multi_app = bison
variable = temp
source_variable = temp
execute_on = 'timestep_end'
[../]
[]
(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfectQ9.i)
[GlobalParams]
order = SECOND
[]
[Mesh]
file = perfectQ9.e
[]
[Variables]
[./temp]
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 300
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
type = GapHeatTransfer
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
[./Quadrature]
order = THIRD
[../]
[]
[Outputs]
exodus = 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/truss_heat_conduction/line.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 10
xmax = 0.5
xmin = -0.5
[]
[left_line]
type = SubdomainBoundingBoxGenerator
input = gmg
bottom_left = '-0.5 0 0'
top_right = '0 0 0'
block_id = 1
block_name = 'left_line'
location = INSIDE
[]
[right_line]
type = SubdomainBoundingBoxGenerator
input = left_line
bottom_left = '0 0 0'
top_right = '0.5 0 0'
block_id = 2
block_name = 'right_line'
location = INSIDE
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time_derivative]
# type = HeatConductionTimeDerivative
type = TrussHeatConductionTimeDerivative
variable = temperature
area = area
[]
[heat_conduction]
# type = HeatConduction
type = TrussHeatConduction
variable = temperature
area = area
[]
[]
[AuxVariables]
[area]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[area]
type = ConstantAux
variable = area
value = 0.1
execute_on = 'initial timestep_begin'
[]
[]
[Materials]
[left_line]
type = GenericConstantMaterial
block = 'left_line'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '0.1 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[right_line]
type = GenericConstantMaterial
block = 'right_line'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '5.0e-3 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[]
[BCs]
[right]
type = FunctionDirichletBC
variable = temperature
boundary = 'right'
function = '10*t'
[]
[]
[VectorPostprocessors]
[center]
type = LineValueSampler
start_point = '-0.5 0 0'
end_point = '0.5 0 0'
num_points = 40
variable = 'temperature'
sort_by = id
[]
[]
[Executioner]
type = Transient
start_time = 0
dt = 1
end_time = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = 'csv/line'
time_data = true
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_radiation/sphere.i)
#
# This problem is one of radiation boundary conditions between two
# spherical surfaces.
#
# S(T1^4 - T2^4) R1^2
# flux1 = - ---------------- and flux2 = -flux1 * ----
# 1 1 - e2 R1^2 R2^2
# -- + ------ * ----
# e1 e2 R2^2
#
# where S is the Stefan Boltzmann constant 5.67e-8 W/m^2/K^4
# T1 is the temperature on the left surface 278 K
# T2 is the temperature on the right surface 333 K
# e1 is the emissivity for the left surface 0.8
# e2 is the emissivity for the left surface 0.9
# R1 is the radius of the inner surface 0.1 m
# R2 is the radius of the outer surface 0.11 m
#
# Flux1:
# Exact Code
# ------------- -------------
# -267.21 W/m^2 -267.02 W/m^2
#
# Flux2:
# Exact Code
# ------------- -------------
# 220.83 W/m^2 220.70 W/m^2
#
thick = 0.01
R1 = 0.1
R2 = 0.11
[GlobalParams]
order = second
family = lagrange
[]
[Mesh]
coord_type = RSPHERICAL
[mesh1]
type = GeneratedMeshGenerator
dim = 1
elem_type = edge3
nx = 4
xmin = '${fparse R1 - thick}'
xmax = '${R1}'
boundary_name_prefix = left
[]
[mesh2]
type = GeneratedMeshGenerator
dim = 1
elem_type = edge3
nx = 4
ny = 1
xmin = '${R2}'
xmax = '${fparse R2 + thick}'
boundary_id_offset = 4
boundary_name_prefix = right
[]
[final]
type = CombinerGenerator
inputs = 'mesh1 mesh2'
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temperature
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temperature
boundary = left_left
value = 278
[]
[right]
type = DirichletBC
variable = temperature
boundary = right_right
value = 333
[]
[]
[Materials]
[heat]
type = HeatConductionMaterial
thermal_conductivity = 200 # W/m/K
specific_heat = 4.2e5
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temperature
primary = left_right
secondary = right_left
emissivity_primary = 0.8
emissivity_secondary = 0.9
quadrature = true
gap_conductivity = 1e-40 # requires a positive value
gap_geometry_type = sphere
[]
[]
[Functions]
[analytic_flux_1]
type = ParsedFunction
symbol_names = 'S T1 T2 e1 e2 R1 R2'
symbol_values = '5.67e-8 278 333 0.8 0.9 ${R1} ${R2}'
expression = 'T14 := T1*T1*T1*T1;
T24 := T2*T2*T2*T2;
S*(T14-T24)/(1/e1+(1-e2)/e2*R1*R1/R2/R2)'
[]
[analytic_flux_2]
type = ParsedFunction
symbol_names = 'S T1 T2 e1 e2 R1 R2'
symbol_values = '5.67e-8 278 333 0.8 0.9 ${R1} ${R2}'
expression = 'T14 := T1*T1*T1*T1;
T24 := T2*T2*T2*T2;
-S*(T14-T24)/(1/e1+(1-e2)/e2*R1*R1/R2/R2)*R1*R1/R2/R2'
[]
[]
[Postprocessors]
[code_flux_1]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = left_right
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[analytic_flux_1]
type = FunctionValuePostprocessor
function = analytic_flux_1
execute_on = 'initial timestep_end'
[]
[error_1]
type = ParsedPostprocessor
pp_names = 'code_flux_1 analytic_flux_1'
expression = '(analytic_flux_1 - code_flux_1)/analytic_flux_1*100'
execute_on = 'initial timestep_end'
[]
[code_flux_2]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = right_left
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[analytic_flux_2]
type = FunctionValuePostprocessor
function = analytic_flux_2
execute_on = 'initial timestep_end'
[]
[error_2]
type = ParsedPostprocessor
pp_names = 'code_flux_2 analytic_flux_2'
expression = '(analytic_flux_2 - code_flux_2)/analytic_flux_2*100'
execute_on = 'initial timestep_end'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = newton
num_steps = 1
dt = 1
end_time = 1
nl_abs_tol = 1e-12
nl_rel_tol = 1e-10
[]
[Outputs]
csv = true
[]
(modules/combined/test/tests/heat_convection/heat_convection_rz_test.i)
# Test cases for convective boundary conditions. TKLarson, 11/01/11, rev. 0.
# Input file for htc_2dtest1
# TKLarson
# 11/01/11
# Revision 0
#
# Goals of this test are:
# 1) show that expected results ensue from application of convective boundary conditions
# Convective boundary condition:
# q = h*A*(Tw - Tf)
# where
# q - heat transfer rate (w)
# h - heat transfer coefficient (w/m^2-K)
# A - surface area (m^2)
# Tw - surface temperature (K)
# Tf - fluid temperature adjacent to the surface (K)
# The heat transfer coefficient (h) is input as a variable called 'rate'
# Tf is a two valued function specified by 'initial' and 'final' along with a variable
# called 'duration,' the length of time in seconds that it takes initial to linearly ramp
# to 'final.'
# The mesh for this test case is based on an ASTM standard for the so-called Brazillian Cylinder test
# (ASTM International, Standard Test Method for Splitting Tensile Strength of Cylindrical Concrete
# Specimens, C 496/C 496M-04, 2004) (because I already had a version of the model). While the
# Brazillian Cylinder test is for dynamic tensile testing of concrete, the model works for the present
# purposes. The model is 2-d RZ coordinates.
#
# Brazillian Cylinder sample dimensions:
# L = 20.3 cm, 0.203 m, (8 in)
# r = 5.08 cm, 0.0508 m, (2 in)
# Material properties are:
# density = 2405.28 km/m^3
# specific heat = 826.4 J/kg-K
# thermal conductivity 1.937 w/m-K
# alpha (thermal conductivity/(density*specific heat) is then 9.74e-7 m^2/s
#
# Initial cylinder temperature is room temperature 294.26 K (70 F)
# The initial fluid temperature is room temperature. We will ramp it to 477.6 K (400 F) in 10 minutes.
# We will use a natural convection h (284 w/m^2-K (50 BTU/hr-ft^2-F)) on all faces of the cylinder.
# This is akin to putting the cylinder in an oven (nonconvection type) and turning the oven on.
# What we expect for this problem:
# 1) Use of h = 284 should cause the cylinder to slowly warm up
# 2) The fluid temperature should rise from initial (294 K) to final (477 K) in 600 s.
# 3) 1) and 2) should cause the cylinder to become soaked at 477.6 K after sufficient time(i.e. ~ 1/2 hr).
# This is a simple thermal soak problem.
[Problem]
coord_type = RZ
[]
[Mesh] # Mesh Start
# 10cm x 20cm cylinder not so detailed mesh, 2 radial, 6 axial nodes
# Only one block (Block 1), all concrete
# Sideset 1 - top of cylinder, Sideset 2 - length of cylinder, Sideset 3 - bottom of cylinder
file = heat_convection_rz_mesh.e
[] # Mesh END
[Variables] # Variables Start
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 294.26 # Initial cylinder temperature
[../]
[] # Variables END
[Kernels] # Kernels Start
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[] # Kernels END
[BCs] # Boundary Conditions Start
# Heat transfer coefficient on outer cylinder radius and ends
[./convective_clad_surface] # Convective Start
type = ConvectiveFluxBC # Convective flux, e.g. q'' = h*(Tw - Tf)
boundary = '1 2 3' # BC applied on top, along length, and bottom
variable = temp
rate = 284. # (w/m^2-K)[50 BTU/hr/-ft^2-F]
# the above h is a reasonable natural convection value
initial = 294.26 # initial ambient (lab or oven) temperature (K)
final = 477.6 # final ambient (lab or oven) temperature (K)
duration = 600. # length of time in seconds that it takes the ambient
# temperature to ramp from initial to final
[../] # Convective End
[] # BCs END
[Materials] # Materials Start
[./thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 826.4
# thermal_conductivity = 1.937 # this makes alpha 9.74e-7 m^2/s
# thermal_conductivity = 19.37 # this makes alpha 9.74e-6 m^2/s
# thermal conductivity arbitrarily increased by a decade to
# make the cylinder thermally soak faster (only for the purposes
# of this test problem
thermal_conductivity = 193.7 # this makes alpha 9.74e-5 m^2/s
# thermal conductivity arbitrarily increased by 2 decade to
# make the cylinder thermally soak faster (only for the purposes
# of this test problem
[../]
[./density]
type = Density
block = 1
density = 2405.28
[../]
[] # Materials END
[Executioner] # Executioner Start
type = Transient
# type = Steady
#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 = 60.
num_steps = 20 # Total run time 1200 s
[] # Executioner END
[Outputs] # Output Start
# Output Start
file_base = out_rz
exodus = true
[] # Output END
# # Input file END
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_xy.i)
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks in the x-y plane. Each element block
# is a square. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far bottom boundary
# is ramped from 100 to 200 over one time unit. The temperature of the far top
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
# The heat flux across the gap at time = 1 is then:
#
# Flux = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors. These results
# are the same as for the unit 1-D gap heat transfer between two unit cubes.
[Mesh]
file = simple_2D.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./temp_far_bottom]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_top]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-14
l_tol = 1e-3
l_max_its = 100
dt = 1e-1
end_time = 1.0
[]
[Postprocessors]
[./temp_bottom]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_top]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_bottom]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./flux_top]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
exodus = true
[]
(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/laser_bc_flux/test.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 20
ny = 10
ymax = 0.5
dim = 2
[]
[]
[Variables]
[temperature]
initial_condition = 1
[]
[]
[Kernels]
[conduction]
type = HeatConduction
variable = temperature
diffusion_coefficient = 1
[]
[]
[BCs]
[radiation_flux]
type = FunctionRadiativeBC
variable = temperature
boundary = 'top'
emissivity_function = '1'
Tinfinity = 0
stefan_boltzmann_constant = 1
[]
[weld_flux]
type = GaussianEnergyFluxBC
variable = temperature
boundary = 'top'
P0 = 0.06283185307179587
R = 0.18257418583505539
x_beam_coord = 0.5
y_beam_coord = 0.5
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Postprocessors]
[average]
type = ElementAverageValue
variable = temperature
[]
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/heat_convection/heat_convection_3d_test.i)
# Test cases for convective boundary conditions.
# Input file for htc_3dtest1
# TKLarson
# 11/02/11
# Revision 0
#
# Goals of this test are:
# 1) show that the 'fluid' temperature for convective boundary condition
# is behaving as expected/desired
# 2) show that expected results ensue from application of convective boundary conditions
# Convective boundary condition:
# q = h*A*(Tw - Tf)
# where
# q - heat transfer rate (w)
# h - heat transfer coefficient (w/m^2-K)
# A - surface area (m^2)
# Tw - surface temperature (K)
# Tf - fluid temperature adjacent to the surface (K)
# The heat transfer coefficient (h) is input as a variable called 'rate'
# Tf is a two valued function specified by 'initial' and 'final' along with a variable
# called 'duration,' the length of time in seconds that it takes initial to linearly ramp
# to 'final.'
# The mesh for this test case is concocted from an ASTM standard for the so-called Brazillian Cylinder test
# (ASTM International, Standard Test Method for Splitting Tensile Strength of Cylindrical Concrete
# Specimens, C 496/C 496M-04, 2004). I turned a cylinder model into a rectangular parallelpiped,
# because I already had the cylinder model.
# The model is 3-d xyz coordinates.
#
# Brazillian Parallelpiped sample dimensions:
# z = 10.3 cm, 0.103 m, (4 in)
# y = 5.08 cm, 0.0508 m, (2 in)
# x = 5.08 cm, 0.0508 m, (2 in)
# Material properties are:
# density = 2405.28 km/m^3
# specific heat = 826.4 J/kg-K
# thermal conductivity 1.937 w/m-K
# alpha (thermal conductivity/(density*specific heat) is then 9.74e-7 m^2/s
#
# Initial parallelpiped temperature is room temperature 294.26 K (70 F)
# The initial fluid temperature is room temperature. We will ramp it to 477.6 K (400 F) in 10 minutes.
# We will use an h representative of natural convection conditions as the boundary condition for all sides
# on the parallelpiped. Akin to putting the object in an oven and turning the oven on.
# This is essentially a thermal soak.
#
# What we expect for this problem:
# 1) Use of h = 284 w/m^2-K (50 BTU/hr-ft^2-F) should cause the parallelpiped to slowly heat up to 477K.
# 2) The fluid temperature should rise from initial (294.26 K) to final (477.6 K) in 600 s.
# 3) 1) and 2) should show the convective BC is working as desired.
#
[Mesh] # Mesh Start
# 5cm x 5cm x 10cm parallelpiped not so detailed mesh, 4 elements each end, 8 elements each long face
# Only one block (Block 1), all concrete
# Sideset definitions:
# 1 - xy plane at z=0,
# 2 - xy plane at z=-0.103,
# 3 - xz plane at y=0,
# 4 - yz plane at x=0,
# 5 - xz plane at y=0.0508,
# 6 - yz plane at x=0.0508
file = heat_convection_3d_mesh.e
#
[] # Mesh END
[Variables] # Variables Start
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 294.26 # Initial parallelpiped temperature
[../]
[] # Variables END
[Kernels] # Kernels Start
[./heat]
# type = HeatConductionRZ
type = HeatConduction
variable = temp
[../]
[./heat_ie]
# type = HeatConductionTimeDerivativeRZ
type = HeatConductionTimeDerivative
variable = temp
[../]
[] # Kernels END
[BCs] # Boundary Conditions Start
# Heat transfer coefficient on outer parallelpiped radius and ends
[./convective_clad_surface] # Convective Start
# type = ConvectiveFluxRZ # Convective flux, e.g. q'' = h*(Tw - Tf)
type = ConvectiveFluxBC # Convective flux, e.g. q'' = h*(Tw - Tf)
boundary = '1 2 3 4 5 6' # BC applied on top, along length, and bottom
variable = temp
rate = 284. # convective heat transfer coefficient (w/m^2-K)[50 BTU/hr-ft^2-F]
initial = 294.26 # initial ambient (lab or oven) temperature (K)
final = 477.6 # final ambient (lab or oven) temperature (K)
duration = 600. # length of time in seconds that it takes the ambient
# temperature to ramp from initial to final
[../] # Convective End
[] # BCs END
[Materials] # Materials Start
[./thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 826.4
#thermal_conductivity = 1.937 # this makes alpha 9.74e-7 m^2/s
thermal_conductivity = 193.7 # this makes alpha 9.74e-5 m^2/s
# above conductivity arbitrarily increased by 2 decades to make the
# object soak faster for the present purposes
[../]
[./density]
type = Density
block = 1
density = 2405.28
[../]
[] # Materials END
[Executioner] # Executioner Start
type = Transient
# type = Steady
#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 = 60.
num_steps = 20 # Total run time 1200 s
[] # Executioner END
[Outputs] # Output Start
# Output Start
file_base = out_3d
exodus = true
[] # Output END
# # Input file END
(modules/combined/test/tests/thermo_mech/thermo_mech.i)
#Run with 4 procs
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
temperature = temp
volumetric_locking_correction = true
[]
[Mesh]
file = cube.e
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
[../]
[]
[Kernels]
[./TensorMechanics]
[../]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./bottom_x]
type = DirichletBC
variable = disp_x
boundary = 1
value = 0.0
[../]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = 1
value = 0.0
[../]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 10.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.0
poissons_ratio = 0.3
[../]
[./strain]
type = ComputeSmallStrain
eigenstrain_names = eigenstrain
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 0.0
thermal_expansion_coeff = 1e-5
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./heat]
type = HeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_rel_tol = 1e-14
l_tol = 1e-3
l_max_its = 100
dt = 1.0
end_time = 1.0
[]
[Outputs]
exodus = true
[]
(modules/functional_expansion_tools/examples/3D_volumetric_Cartesian_different_submesh/main.i)
# Derived from the example '3D_volumetric_Cartesian' with the following differences:
#
# 1) The number of x and y divisions in the sub app is not the same as the master app
# 2) The subapp mesh is skewed in x and z
[Mesh]
type = GeneratedMesh
dim = 3
xmin = 0.0
xmax = 10.0
nx = 15
ymin = 1.0
ymax = 11.0
ny = 25
zmin = 2.0
zmax = 12.0
nz = 35
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./s_in]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = CoupledForce
variable = m
v = s_in
[../]
[]
[AuxKernels]
[./reconstruct_s_in]
type = FunctionSeriesToAux
variable = s_in
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'top bottom left right front back'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '3 4 5'
physical_bounds = '0.0 10.0 1.0 11.0 2.0 12.0'
x = Legendre
y = Legendre
z = Legendre
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_yz.i)
#
# 2D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2 in the y-z plane. In other words,
# the gap between them is 1 radial unit in length.
#
# The calculated results are the same as for the cyl2D.i case in the x-y plane.
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
[file]
type = FileMeshGenerator
file = cyl2D.e
[]
[./rotate]
type = TransformGenerator
transform = ROTATE
vector_value = '0 90 90'
input = file
[../]
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[../]
[]
[Variables]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
[../]
[]
[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 = 1000000.0
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 1
quadrature = true
gap_geometry_type = CYLINDER
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '1 0 0'
[../]
[]
[BCs]
[./mid]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[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
[]
[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
[../]
[]
(modules/heat_transfer/test/tests/code_verification/cartesian_test_no2.i)
# Problem I.2
#
# An infinite plate with a thermal conductivity that varies linearly with
# temperature. Each boundary is exposed to a constant temperature.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 1
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'L beta ki ko ui uo'
symbol_values = '1 1e-3 5.3 5 300 0'
expression = 'uo+(ko/beta)* ( (1 + L*beta*(ki+ko)*(ui-uo)*((L-x)/(ko*L)^2) )^0.5 - 1)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[]
[BCs]
[./ui]
type = DirichletBC
boundary = left
variable = u
value = 300
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat'
prop_values = '1.0 1.0'
[../]
[./thermal_conductivity]
type = ParsedMaterial
property_name = 'thermal_conductivity'
coupled_variables = u
expression = '5 + 1e-3 * (u-0)'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_rz_test.i)
#
# 2-D RZ Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each. Each
# element is a unit cube. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit, and then held fixed for an additional
# time unit. The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks, or cylinders in the case of RZ.:
#
# Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1)))
#
# For gapK = 1 (default value)
#
# The integrated heat flux across the gap at time 2 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*1*100/(ln(2/1)) = 906.5 watts
#
# For comparison, see results from the flux post processors.
#
# As a second test, use the rectilinear (parallel plate) form of the gap heat transfer.
#
# Flux = (T_left - T_right) * (gapK/gapL)
#
# For gapK = 1 (default value)
#
# The integrated heat flux across the gap at time 2 is then:
#
# 2*pi*h*k*delta_T/(1)
# 2*pi*1*1*100/(1) = 628.3 watts
#
# For comparison, see results from the flux post processors.
#
[Problem]
coord_type = RZ
rz_coord_axis = Y # this is modified through CLI args to test Z-R as opposed to R-Z
[]
[Mesh]
active = 'file'
[file]
type = FileMeshGenerator
file = gap_heat_transfer_htonly_rz_test.e
[]
[rotate]
type = TransformGenerator
transform = ROTATE
vector_value = '90 0 0'
input = file
[]
[]
[Functions]
[./ramp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[./thermal_contact2]
type = GapHeatTransfer
variable = temp2
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_geometry_type = PLATE
appended_property_name = 2
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[./temp2]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[./gap_cond2]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat2]
type = HeatConduction
variable = temp2
[../]
[]
[BCs]
[./temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = ramp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[./temp_far_left2]
type = FunctionDirichletBC
boundary = 1
variable = temp2
function = ramp
[../]
[./temp_far_right2]
type = DirichletBC
boundary = 4
variable = temp2
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[./conductance2]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond2
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 1e6
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
# petsc_options = '-snes_mf_operator -ksp_monitor -snes_ksp_ew'
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
# petsc_options_iname = '-snes_type -snes_ls -snes_linesearch_type -ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
# petsc_options_value = 'ls basic basic 201 hypre boomeramg 4'
# petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
# petsc_options_value = '201 hypre boomeramg 4'
nl_abs_tol = 1e-3
nl_rel_tol = 1e-8
l_tol = 1e-6
l_max_its = 100
start_time = 0.0
dt = 1e-1
dtmin = 1e-1
end_time = 2.0
[]
[Postprocessors]
[./temp_left]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_right]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[../]
[./flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[../]
[./temp_left2]
type = SideAverageValue
boundary = 2
variable = temp2
execute_on = 'initial timestep_end'
[../]
[./temp_right2]
type = SideAverageValue
boundary = 3
variable = temp2
execute_on = 'initial timestep_end'
[../]
[./flux_left2]
type = SideDiffusiveFluxIntegral
variable = temp2
boundary = 2
diffusivity = thermal_conductivity
[../]
[./flux_right2]
type = SideDiffusiveFluxIntegral
variable = temp2
boundary = 3
diffusivity = thermal_conductivity
[../]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/radiation_transfer_action/cavity_with_pillar_vf.i)
[Mesh]
[cartesian]
type = CartesianMeshGenerator
dim = 3
dx = '0.1 0.3 0.4 0.3 0.1'
ix = ' 1 3 4 3 1'
dy = '0.1 0.3 0.4 0.3 0.1'
iy = ' 1 3 4 3 1'
dz = '0.1 0.8 0.2 0.1'
iz = ' 1 8 2 1'
subdomain_id = '1 1 1 1 1
1 15 15 15 1
1 15 1 15 1
1 15 15 15 1
1 1 1 1 1
1 12 12 12 1
11 0 103 0 14
11 104 2 102 14
11 0 101 0 14
1 13 13 13 1
1 12 12 12 1
11 0 0 0 14
11 0 105 0 14
11 0 0 0 14
1 13 13 13 1
1 1 1 1 1
1 16 16 16 1
1 16 16 16 1
1 16 16 16 1
1 1 1 1 1'
[]
[left_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 11
paired_block = '0 101 102 103 104 105'
new_boundary = left_interior_wall
input = cartesian
[]
[right_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 14
paired_block = '0 101 102 103 104 105'
new_boundary = right_interior_wall
input = left_interior
[]
[bottom_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 12
paired_block = '0 101 102 103 104 105'
new_boundary = bottom_interior_wall
input = right_interior
[]
[top_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 13
paired_block = '0 101 102 103 104 105'
new_boundary = top_interior_wall
input = bottom_interior
[]
[front_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 15
paired_block = '0 101 102 103 104 105'
new_boundary = front_interior_wall
input = top_interior
[]
[back_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 16
paired_block = '0 101 102 103 104 105'
new_boundary = back_interior_wall
input = front_interior
[]
[pillar_left]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 104
new_boundary = pillar_left
input = 'back_interior'
[]
[pillar_right]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 102
new_boundary = pillar_right
input = 'pillar_left'
[]
[pillar_bottom]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 103
new_boundary = pillar_bottom
input = 'pillar_right'
[]
[pillar_top]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 101
new_boundary = pillar_top
input = 'pillar_bottom'
[]
[pillar_back]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 105
new_boundary = pillar_back
input = 'pillar_top'
[]
[rename_block]
type = RenameBlockGenerator
old_block = '2 11 12 13 14 15 16 101 102 103 104 105'
new_block = '2 1 1 1 1 1 1 0 0 0 0 0'
input = 'pillar_back'
[]
[]
[GrayDiffuseRadiation]
[cavity]
sidesets = '6 7 8 9 10 11 12 13 14 15 16'
emissivity = '0.8 0.8 0.8 0.8 0.8 eps_fn 0.8 0.8 0.8 0.8 0.8'
n_patches = '5 5 5 5 5 5 5 5 5 5 5'
partitioners = 'metis metis metis metis metis metis metis metis metis metis metis'
temperature = temperature
ray_tracing_face_order = SECOND
[]
[]
[Functions]
[eps_fn]
type = ConstantFunction
value = 0.8
[]
[]
[Variables]
[temperature]
initial_condition = 300
block = '1 2'
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temperature
block = '1 2'
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temperature
boundary = left
value = 500
[]
[front]
type = DirichletBC
variable = temperature
boundary = front
value = 300
[]
[]
[Materials]
[hcmat]
type = HeatConductionMaterial
thermal_conductivity = 25.0
specific_heat = 490.0
block = '1 2'
[]
[density]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = '80'
block = '1 2'
[]
[]
[Executioner]
type = Steady
nl_abs_tol = 1e-8
nl_rel_tol = 1e-8
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/cartesian_test_no3.i)
# Problem I.3
#
# The thermal conductivity of an infinite plate varies linearly with
# temperature: k = ko(1+beta*u). It has a constant internal heat generation q,
# and has the boundary conditions du/dx = 0 at x= L and u(L) = uo.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'q L beta uo ko'
symbol_values = '1200 1 1e-3 0 1'
expression = 'uo+(1/beta)*( ( 1 + (1-(x/L)^2) * (beta*q*L^2) / ko )^0.5 - 1)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./ui]
type = NeumannBC
boundary = left
variable = u
value = 0
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat'
prop_values = '1.0 1.0'
[../]
[./thermal_conductivity]
type = ParsedMaterial
property_name = 'thermal_conductivity'
coupled_variables = u
expression = '1 * (1 + 1e-3*u)'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_rspherical.i)
#
# 1-D spherical Gap Heat Transfer Test
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two "blocks" with a mesh biased toward the gap
# between them. Each block is unit length. The gap between them is one
# unit in length.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit, and then held fixed for an additional
# time unit. The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks, or spheres in the case of RSPHERICAL.:
#
# Flux = (T_left - T_right) * (gapK/(r^2*((1/r1)-(1/r2))))
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 4 * pi * 1 * 1
#
# The integrated heat flux across the gap at time 2 is then:
#
# 4*pi*k*delta_T/((1/r1)-(1/r2))
# 4*pi*1*100/((1/1) - (1/2)) = 2513.3 watts
#
# For comparison, see results from the flux post processors.
#
#
[Problem]
coord_type = RSPHERICAL
[]
[Mesh]
file = gap_heat_transfer_htonly_rspherical.e
construct_side_list_from_node_list = true
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_geometry_type = sphere
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 1e6
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
# I don't know enough about this test to say why it needs such a
# loose nl_abs_tol... after timestep 10 the residual basically can't
# be reduced much beyond the initial residual. The test probably
# needs to be revisited to determine why.
nl_abs_tol = 1e-3
nl_rel_tol = 1e-10
l_tol = 1e-6
l_max_its = 100
line_search = 'none'
nl_max_its = 10
dt = 1e-1
dtmin = 1e-1
end_time = 2.0
[]
[Postprocessors]
[./temp_left]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_right]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[../]
[./flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[../]
[]
[Outputs]
exodus = 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
[]
[]
(modules/functional_expansion_tools/examples/3D_volumetric_cylindrical/main.i)
# Basic example coupling a master and sub app in a 3D cylindrical mesh from an input file
#
# The master app provides field values to the sub app via Functional Expansions, which then performs
# its calculations. The sub app's solution field values are then transferred back to the master app
# and coupled into the solution of the master app solution.
#
# This example couples Functional Expansions via AuxVariable, the recommended approach.
#
# Note: this problem is not light, and may take a few minutes to solve.
[Mesh]
type = FileMesh
file = cyl-tet.e
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./s_in]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = CoupledForce
variable = m
v = s_in
[../]
[]
[AuxKernels]
[./reconstruct_s_in]
type = FunctionSeriesToAux
variable = s_in
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'top bottom outside'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = CylindricalDuo
orders = '5 3' # Axial first, then (r, t) FX
physical_bounds = '-2.5 2.5 0 0 1' # z_min z_max x_center y_center radius
z = Legendre # Axial in z
disc = Zernike # (r, t) default to unit disc in x-y plane
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/semiconductor_linear_conductivity/steinhart-hart_linear.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 1.0
ymax = 1.0
[]
[Variables]
[./T]
initial_condition = 400.0 # unit in Kelvin only!!
[../]
[]
[AuxVariables]
[./elec_conduct]
order = FIRST
family = MONOMIAL
[../]
[]
[Kernels]
[./diff]
type = HeatConduction
variable = T
[../]
[]
[AuxKernels]
[./elec_conduct]
type = MaterialRealAux
variable = elec_conduct
property = electrical_conductivity
execute_on = timestep_end
[../]
[]
[BCs]
[./inlet]
type = DirichletBC
variable = T
boundary = left
value = 1000 # K
[../]
[./outlet]
type = DirichletBC
variable = T
boundary = right
value = 400 # K
[../]
[]
[Materials]
[./k]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '10' # in W/mK
[../]
[./sigma]
type = SemiconductorLinearConductivity
temp = T
sh_coeff_A = 0.002
sh_coeff_B = 0.001
[../]
[]
[VectorPostprocessors]
[./line_sample]
type = LineValueSampler
warn_discontinuous_face_values = false
variable = 'T elec_conduct'
start_point = '0 0. 0'
end_point = '1.0 0. 0'
num_points = 11
sort_by = id
[../]
[]
[Executioner]
type = Steady
solve_type = PJFNK
nl_rel_tol = 1e-12
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
execute_on = 'initial timestep_end'
[]
(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/heat_conduction/2d_quadrature_gap_heat_transfer/perfectQ8.i)
[GlobalParams]
order = SECOND
[]
[Mesh]
file = perfectQ8.e
[]
[Variables]
[./temp]
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 300
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
type = GapHeatTransfer
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[./Quadrature]
order = THIRD
[../]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_radiation/gap_heat_transfer_radiation_test.i)
#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a helium-filled gap including radiation.
#
# The mesh consists of two element blocks containing one element each. Each
# element is a unit cube. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit, and then held fixed for an additional
# time unit. The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * h_gap
#
# where h_gap = h_gas + h_cont + h_rad
#
# By setting the contact pressure, roughnesses, and jump distances to zero, the gap
# conductance simplifies to:
#
# h_gap = gapK/d_gap + sigma*Fe*(T_left^2 + T_right^2)*(T_left + T_right)
#
# where Fe = 1/(1/eps_left + 1/eps_right - 1)
# eps = emissivity
#
# For pure helium, BISON computes the gas conductivity as:
#
# gapK(Tavg) = 2.639e-3*Tavg^0.7085
#
# For the test, the final (t=2) average gas temperature is (200 +100)/2 = 150,
# giving gapK(150) = 0.09187557
#
# Assuming ems_left = ems_right = 0.5, Fe = 1/3
#
# The heat flux across the gap at that time is then:
#
# Flux(2) = 100 * ((0.09187557/1.0) + (5.669e-8/3)*(200^2 + 100^2)*(200 + 100))
# = 37.532557
#
# The flux post processors give 37.53255
#
[Mesh]
file = gap_heat_transfer_radiation_test.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '200 200'
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[ThermalContact]
[./gap]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
gap_conductivity = 0.09187557
emissivity_primary = 0.5
emissivity_secondary = 0.5
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 10000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_abs_tol = 1e-6
nl_rel_tol = 1e-10
l_tol = 1e-3
l_max_its = 100
start_time = 0.0
dt = 1
end_time = 1.0
[]
[Postprocessors]
[./temp_left]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_right]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[../]
[./flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[../]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_xz.i)
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks in the x-z plane. Each element block
# is a square. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far bottom boundary
# is ramped from 100 to 200 over one time unit. The temperature of the far top
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
# The heat flux across the gap at time = 1 is then:
#
# Flux = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors. These results
# are the same as for the unit 1-D gap heat transfer between two unit cubes.
[Mesh]
[file]
type = FileMeshGenerator
file = simple_2D.e
[]
[./rotate]
type = TransformGenerator
transform = ROTATE
vector_value = '0 90 0'
input = file
[../]
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./temp_far_bottom]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_top]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-12
l_tol = 1e-3
l_max_its = 100
dt = 1e-1
end_time = 1.0
[]
[Postprocessors]
[./temp_bottom]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_top]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_bottom]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./flux_top]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/restart-transient-from-ss-with-stateful/parent_tr.i)
[Problem]
restart_file_base = parent_ss_checkpoint_cp/LATEST
force_restart = true
# The auxiliary field has an initial condition
allow_initial_conditions_with_restart = true
[]
[Mesh]
file = parent_ss_checkpoint_cp/LATEST
[]
[Variables]
[temp]
# no initial condition for restart.
[]
[]
[AuxVariables]
[power]
order = FIRST
family = L2_LAGRANGE
initial_condition = 350
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source_fuel]
type = CoupledForce
variable = temp
v = 'power'
[]
[]
[BCs]
[all]
type = DirichletBC
variable = temp
boundary = 'bottom top left right'
value = 300
[]
[]
[Materials]
[heat_material]
type = HeatConductionMaterial
temp = temp
specific_heat = 1000
thermal_conductivity = 500
[]
[density]
type = Density
density = 2000
[]
[]
[Postprocessors]
[avg_temp]
type = ElementAverageValue
variable = temp
execute_on = 'timestep_end'
[]
[avg_power]
type = ElementAverageValue
variable = power
execute_on = 'timestep_end'
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 300'
line_search = 'none'
l_tol = 1e-02
nl_rel_tol = 5e-05
nl_abs_tol = 5e-05
l_max_its = 50
nl_max_its = 25
start_time = 0
end_time = 40
dt = 10
[]
[Outputs]
print_linear_residuals = false
perf_graph = true
color = true
exodus = true
[]
[MultiApps]
[bison]
type = TransientMultiApp
positions = '0 0 0'
input_files = 'sub_tr.i'
execute_on = 'timestep_end'
[]
[]
[Transfers]
[to_bison_mechanics]
type = MultiAppProjectionTransfer
to_multi_app = bison
variable = temp
source_variable = temp
execute_on = 'timestep_end'
[]
[]
(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch.i)
# Patch Test
# This test is designed to compute constant xx, yy, zz, xy, yz, and zx
# stress on a set of irregular hexes. The mesh is composed of one
# block with seven elements. The elements form a unit cube with one
# internal element. There is a nodeset for each exterior node.
# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
# The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
# zx). This gives a uniform strain/stress state for all six unique
# tensor components.
# With Young's modulus at 1e6 and Poisson's ratio at 0, the shear
# modulus is 5e5 (G=E/2/(1+nu)). Therefore, for the mechanical strain,
#
# stress xx = 1e6 * 1e-6 = 1
# stress yy = 1e6 * 2e-6 = 2
# stress zz = 1e6 * 3e-6 = 3
# stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
# (2 * G * gamma_xy / 2 = 2 * G * epsilon_xy)
# stress yz = 2 * 5e5 * 2e-6 / 2 = 1
# stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5
# However, we must also consider the thermal strain.
# The temperature moves 100 degrees, and the coefficient of thermal
# expansion is 1e-8. Therefore, the thermal strain (and the displacement
# since this is a unit cube) is 1e-6.
# Therefore, the overall effect is (at time 1, with a 50 degree delta):
#
# stress xx = 1e6 * (1e-6-0.5e-6) = 0.5
# stress yy = 1e6 * (2e-6-0.5e-6) = 1.5
# stress zz = 1e6 * (3e-6-0.5e-6) = 2.5
# stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
# (2 * G * gamma_xy / 2 = 2 * G * epsilon_xy)
# stress yz = 2 * 5e5 * 2e-6 / 2 = 1
# stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5
#
# At time 2:
#
# stress xx = 1e6 * (1e-6-1e-6) = 0
# stress yy = 1e6 * (2e-6-1e-6) = 1
# stress zz = 1e6 * (3e-6-1e-6) = 2
# stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
# (2 * G * gamma_xy / 2 = 2 * G * epsilon_xy)
# stress yz = 2 * 5e5 * 2e-6 / 2 = 1
# stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
temperature = temp
[]
[Mesh]
file = elastic_thermal_patch_test.e
[]
[Functions]
[./rampConstant1]
type = PiecewiseLinear
x = '0. 1. 2.'
y = '0. 1. 1.'
scale_factor = 1e-6
[../]
[./rampConstant2]
type = PiecewiseLinear
x = '0. 1. 2.'
y = '0. 1. 1.'
scale_factor = 2e-6
[../]
[./rampConstant3]
type = PiecewiseLinear
x = '0. 1. 2.'
y = '0. 1. 1.'
scale_factor = 3e-6
[../]
[./rampConstant4]
type = PiecewiseLinear
x = '0. 1. 2.'
y = '0. 1. 1.'
scale_factor = 4e-6
[../]
[./rampConstant6]
type = PiecewiseLinear
x = '0. 1. 2.'
y = '0. 1. 1.'
scale_factor = 6e-6
[../]
[./tempFunc]
type = PiecewiseLinear
x = '0. 2.'
y = '117.56 217.56'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 117.56
[../]
[]
[Physics/SolidMechanics/QuasiStatic/All]
add_variables = true
strain = FINITE
eigenstrain_names = eigenstrain
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./node1_x]
type = DirichletBC
variable = disp_x
boundary = 1
value = 0.0
[../]
[./node1_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 1
function = rampConstant2
[../]
[./node1_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 1
function = rampConstant3
[../]
[./node2_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 2
function = rampConstant1
[../]
[./node2_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 2
function = rampConstant2
[../]
[./node2_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 2
function = rampConstant6
[../]
[./node3_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 3
function = rampConstant1
[../]
[./node3_y]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.0
[../]
[./node3_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 3
function = rampConstant3
[../]
[./node4_x]
type = DirichletBC
variable = disp_x
boundary = 4
value = 0.0
[../]
[./node4_y]
type = DirichletBC
variable = disp_y
boundary = 4
value = 0.0
[../]
[./node4_z]
type = DirichletBC
variable = disp_z
boundary = 4
value = 0.0
[../]
[./node5_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 5
function = rampConstant1
[../]
[./node5_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 5
function = rampConstant4
[../]
[./node5_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 5
function = rampConstant3
[../]
[./node6_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 6
function = rampConstant2
[../]
[./node6_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 6
function = rampConstant4
[../]
[./node6_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 6
function = rampConstant6
[../]
[./node7_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 7
function = rampConstant2
[../]
[./node7_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 7
function = rampConstant2
[../]
[./node7_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 7
function = rampConstant3
[../]
[./node8_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 8
function = rampConstant1
[../]
[./node8_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 8
function = rampConstant2
[../]
[./node8_z]
type = DirichletBC
variable = disp_z
boundary = 8
value = 0.0
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
boundary = '10 12'
function = tempFunc
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
bulk_modulus = 0.333333333333333e6
shear_modulus = 0.5e6
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-8
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./heat]
type = HeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_rel_tol = 1e-12
l_max_its = 20
start_time = 0.0
dt = 1.0
num_steps = 2
end_time = 2.0
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/stateful_mortar_constraints/stateful_mortar_npr.i)
E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
[Mesh]
patch_size = 80
patch_update_strategy = auto
[plank]
type = GeneratedMeshGenerator
dim = 2
xmin = -0.3
xmax = 0.3
ymin = -10
ymax = 10
nx = 2
ny = 67
elem_type = ${elem}
boundary_name_prefix = plank
[]
[plank_id]
type = SubdomainIDGenerator
input = plank
subdomain_id = 1
[]
[block]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.31
xmax = 0.91
ymin = 7.7
ymax = 8.5
nx = 3
ny = 4
elem_type = ${elem}
boundary_name_prefix = block
boundary_id_offset = 10
[]
[block_id]
type = SubdomainIDGenerator
input = block
subdomain_id = 2
[]
[combined]
type = MeshCollectionGenerator
inputs = 'plank_id block_id'
[]
[block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'plank block'
[]
[secondary]
input = block_rename
type = LowerDBlockFromSidesetGenerator
sidesets = 'block_left'
new_block_id = '30'
new_block_name = 'frictionless_secondary_subdomain'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'plank_right'
new_block_id = '20'
new_block_name = 'frictionless_primary_subdomain'
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = ${order}
block = 'plank block'
scaling = '${fparse 2.0 / (E_plank + E_block)}'
[]
[disp_y]
order = ${order}
block = 'plank block'
scaling = '${fparse 2.0 / (E_plank + E_block)}'
[]
[temp]
order = ${order}
block = 'plank block'
scaling = 1e-1
[]
[thermal_lm]
order = ${order}
block = 'frictionless_secondary_subdomain'
scaling = 1e-7
[]
[frictionless_normal_lm]
order = ${order}
block = 'frictionless_secondary_subdomain'
use_dual = true
[]
[]
[AuxVariables]
[stress_xx]
order = FIRST
family = MONOMIAL
block = 'plank block'
[]
[stress_yy]
order = FIRST
family = MONOMIAL
block = 'plank block'
[]
[stress_xx_recovered]
order = FIRST
family = LAGRANGE
block = 'plank block'
[]
[stress_yy_recovered]
order = FIRST
family = LAGRANGE
block = 'plank block'
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = 'timestep_end'
block = 'plank block'
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = 'timestep_end'
block = 'plank block'
[]
[stress_xx_recovered]
type = NodalPatchRecoveryAux
variable = stress_xx_recovered
nodal_patch_recovery_uo = stress_xx_patch
execute_on = 'TIMESTEP_END'
block = 'plank block'
[]
[stress_yy_recovered]
type = NodalPatchRecoveryAux
variable = stress_yy_recovered
nodal_patch_recovery_uo = stress_yy_patch
execute_on = 'TIMESTEP_END'
block = 'plank block'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[action]
generate_output = 'stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
block = 'plank block'
use_automatic_differentiation = false
strain = FINITE
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temp
use_displaced_mesh = true
block = 'plank block'
[]
[]
[UserObjects]
[weighted_gap_uo]
type = LMWeightedGapUserObject
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
lm_variable = frictionless_normal_lm
disp_x = disp_x
disp_y = disp_y
[]
[stress_xx_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '0 0'
execute_on = 'NONLINEAR TIMESTEP_END'
block = 'plank block'
[]
[stress_yy_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '1 1'
execute_on = 'NONLINEAR TIMESTEP_END'
block = 'plank block'
[]
[]
[Constraints]
[weighted_gap_lm]
type = ComputeWeightedGapLMMechanicalContact
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
variable = frictionless_normal_lm
disp_x = disp_x
disp_y = disp_y
use_displaced_mesh = true
weighted_gap_uo = weighted_gap_uo
[]
[normal_x]
type = NormalMortarMechanicalContact
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
variable = frictionless_normal_lm
secondary_variable = disp_x
component = x
use_displaced_mesh = true
compute_lm_residuals = false
weighted_gap_uo = weighted_gap_uo
[]
[normal_y]
type = NormalMortarMechanicalContact
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
variable = frictionless_normal_lm
secondary_variable = disp_y
component = y
use_displaced_mesh = true
compute_lm_residuals = false
weighted_gap_uo = weighted_gap_uo
[]
[thermal_contact]
type = GapConductanceStatefulConstraint
variable = thermal_lm
secondary_variable = temp
k = 0.0001
use_displaced_mesh = true
primary_boundary = plank_right
primary_subdomain = frictionless_primary_subdomain
secondary_boundary = block_left
secondary_subdomain = frictionless_secondary_subdomain
displacements = 'disp_x disp_y'
stateful_variable = stress_xx_recovered
[]
[]
[BCs]
[left_temp]
type = DirichletBC
variable = temp
boundary = 'plank_left'
value = 400
[]
[right_temp]
type = DirichletBC
variable = temp
boundary = 'block_right'
value = 300
[]
[left_x]
type = DirichletBC
variable = disp_x
boundary = plank_left
value = 0.0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = plank_bottom
value = 0.0
[]
[right_x]
type = FunctionDirichletBC
variable = disp_x
boundary = block_right
function = '-0.04*sin(4*(t+1.5))+0.02'
preset = false
[]
[right_y]
type = FunctionDirichletBC
variable = disp_y
boundary = block_right
function = '-t'
preset = false
[]
[]
[Materials]
[plank]
type = ComputeIsotropicElasticityTensor
block = 'plank'
poissons_ratio = 0.3
youngs_modulus = ${E_plank}
[]
[block]
type = ComputeIsotropicElasticityTensor
block = 'block'
poissons_ratio = 0.3
youngs_modulus = ${E_block}
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 'plank block'
[]
[heat_plank]
type = HeatConductionMaterial
block = plank
thermal_conductivity = 2
specific_heat = 1
[]
[heat_block]
type = HeatConductionMaterial
block = block
thermal_conductivity = 1
specific_heat = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
petsc_options_value = 'lu NONZERO 1e-15 20'
end_time = 0.5
dt = 0.1
dtmin = 0.1
timestep_tolerance = 1e-6
line_search = 'none'
[]
[Postprocessors]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'block'
[]
[avg_temp]
type = ElementAverageValue
variable = temp
block = 'block'
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'block'
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'block'
value_type = min
[]
[avg_vonmises]
type = ElementAverageValue
variable = vonmises_stress
block = 'block'
[]
[max_vonmises]
type = ElementExtremeValue
variable = vonmises_stress
block = 'block'
[]
[min_vonmises]
type = ElementExtremeValue
variable = vonmises_stress
block = 'block'
value_type = min
[]
[stress_xx_recovered]
type = ElementExtremeValue
variable = stress_xx_recovered
block = 'block'
value_type = max
[]
[stress_yy_recovered]
type = ElementExtremeValue
variable = stress_yy_recovered
block = 'block'
value_type = max
[]
[min_temperature]
type = ElementExtremeValue
variable = temp
block = 'plank'
value_type = min
[]
[]
[Outputs]
exodus = true
[out]
type = CSV
[]
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(modules/combined/examples/thermomechanics/circle_thermal_expansion_stress.i)
# This example problem demonstrates coupling heat conduction with mechanics.
# A circular domain has as uniform heat source that increases with time
# and a fixed temperature on the outer boundary, resulting in a temperature gradient.
# This results in heterogeneous thermal expansion, where it is pinned in the center.
# Looking at the hoop stress demonstrates why fuel pellets have radial cracks
# that extend from the outer boundary to about halfway through the radius.
# The problem is run with length units of microns.
[Mesh]
#Circle mesh has a radius of 1000 units
type = FileMesh
file = circle.e
uniform_refine = 1
[]
[Variables]
# We solve for the temperature and the displacements
[./T]
initial_condition = 800
scaling = 1e7
[../]
[./disp_x]
[../]
[./disp_y]
[../]
[]
[AuxVariables]
[./radial_stress]
order = CONSTANT
family = MONOMIAL
[../]
[./hoop_stress]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
active = 'TensorMechanics htcond Q_function'
[./htcond] #Heat conduction equation
type = HeatConduction
variable = T
[../]
[./TensorMechanics] #Action that creates equations for disp_x and disp_y
displacements = 'disp_x disp_y'
[../]
[./Q_function] #Heat generation term
type = BodyForce
variable = T
value = 1
function = 0.8e-9*t
[../]
[]
[AuxKernels]
[./radial_stress] #Calculates radial stress from cartesian
type = CylindricalRankTwoAux
variable = radial_stress
rank_two_tensor = stress
index_j = 0
index_i = 0
center_point = '0 0 0'
[../]
[./hoop_stress] #Calculates hoop stress from cartesian
type = CylindricalRankTwoAux
variable = hoop_stress
rank_two_tensor = stress
index_j = 1
index_i = 1
center_point = '0 0 0'
[../]
[]
[BCs]
[./outer_T] #Temperature on outer edge is fixed at 800K
type = DirichletBC
variable = T
boundary = 1
value = 800
[../]
[./outer_x] #Displacements in the x-direction are fixed in the center
type = DirichletBC
variable = disp_x
boundary = 2
value = 0
[../]
[./outer_y] #Displacements in the y-direction are fixed in the center
type = DirichletBC
variable = disp_y
boundary = 2
value = 0
[../]
[]
[Materials]
[./thcond] #Thermal conductivity is set to 5 W/mK
type = GenericConstantMaterial
block = 1
prop_names = 'thermal_conductivity'
prop_values = '5e-6'
[../]
[./iso_C] #Sets isotropic elastic constants
type = ComputeElasticityTensor
fill_method = symmetric_isotropic
C_ijkl = '2.15e5 0.74e5'
block = 1
[../]
[./strain] #We use small deformation mechanics
type = ComputeSmallStrain
displacements = 'disp_x disp_y'
block = 1
eigenstrain_names = eigenstrain
[../]
[./stress] #We use linear elasticity
type = ComputeLinearElasticStress
block = 1
[../]
[./thermal_strain]
type= ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-6
temperature = T
stress_free_temperature = 273
block = 1
eigenstrain_name = eigenstrain
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
num_steps = 10
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 101'
l_max_its = 30
nl_max_its = 10
nl_abs_tol = 1e-9
l_tol = 1e-04
[]
[Outputs]
exodus = true
perf_graph = true
[]
(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_rz_quad8.i)
#
# This problem is taken from the Abaqus verification manual:
# "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is -2e5+200x+100y.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x y Temperature
# 1 1e3 0 0
# 2 1.00024e3 0 48
# 3 1.00018e3 3e-2 39
# 4 1.00004e3 2e-2 10
# 9 1.00008e3 8e-2 24
# 10 1e3 1.2e-1 12
# 14 1.00016e3 8e-2 40
# 17 1.00024e3 1.2e-1 60
[Problem]
coord_type = RZ
[]
[Mesh]#Comment
file = heat_conduction_patch_rz_quad8.e
[] # Mesh
[Functions]
[./temps]
type = ParsedFunction
expression ='-2e5+200*x+100*y'
[../]
[] # Functions
[Variables]
[./temp]
order = SECOND
family = LAGRANGE
[../]
[] # Variables
[Kernels]
[./heat_r]
type = HeatConduction
variable = temp
[../]
[] # Kernels
[BCs]
[./temps]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temps
[../]
[] # BCs
[Materials]
[./heat]
type = HeatConductionMaterial
block = 1
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[] # Materials
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 101'
line_search = 'none'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-10
l_max_its = 20
[./Quadrature]
order = THIRD
[../]
[] # Executioner
[Outputs]
exodus = true
[] # Outputs
(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/perfect_split.i)
[Mesh]
[fmg]
type = FileMeshGenerator
file = 'perfect.cpa.gz'
[]
parallel_type = distributed
[]
[Variables]
[temp]
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 300
[]
[right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[]
[]
[ThermalContact]
[left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
type = GapHeatTransfer
[]
[]
[Materials]
[hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/fdp_geometric_coupling/fdp_geometric_coupling.i)
[Mesh]
file = twoBlocksContactDiceSecondary2OffsetGap.e
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
volumetric_locking_correction = true
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 100.0
[../]
[]
[Functions]
[./pressure]
type = PiecewiseLinear
x = '0 1 2'
y = '0 1 1'
scale_factor = 10.0
[../]
[./tempFunc]
type = PiecewiseLinear
x = '0. 3.'
y = '100.0 440.0'
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./block1]
block = 1
volumetric_locking_correction = true
incremental = true
strain = FINITE
eigenstrain_names = 'thermal_expansion1'
decomposition_method = EigenSolution
temperature = temp
[../]
[./block2]
block = 2
volumetric_locking_correction = true
incremental = true
strain = FINITE
eigenstrain_names = 'thermal_expansion2'
decomposition_method = EigenSolution
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left_right_x]
type = DirichletBC
variable = disp_x
boundary = '1 4'
value = 0.0
[../]
[./left_right_y]
type = DirichletBC
variable = disp_y
boundary = '1 4'
value = 0.0
[../]
[./left_right_z]
type = DirichletBC
variable = disp_z
boundary = '1 4'
value = 0.0
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
boundary = '2 3'
function = tempFunc
[../]
[]
[Contact]
[./dummy_name]
primary = 2
secondary = 3
penalty = 1e8
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = '1 2'
youngs_modulus = 1e6
poissons_ratio = 0.0
[../]
[./stress1]
type = ComputeFiniteStrainElasticStress
block = '1 2'
[../]
[./thermal_expansion1]
type = ComputeThermalExpansionEigenstrain
block = 1
thermal_expansion_coeff = 1e-4
stress_free_temperature = 100.0
temperature = temp
eigenstrain_name = thermal_expansion1
[../]
[./thermal_expansion2]
type = ComputeThermalExpansionEigenstrain
block = 2
thermal_expansion_coeff = 1e-5
stress_free_temperature = 100.0
temperature = temp
eigenstrain_name = thermal_expansion2
[../]
[./heat]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
block = '1 2'
density = 1.0
[../]
[]
[Preconditioning]
[./FDP]
type = FDP
full = true
implicit_geometric_coupling = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -mat_fd_coloring_err -mat_fd_type'
petsc_options_value = 'lu 1e-8 ds'
nl_rel_tol = 1e-10
l_max_its = 5
nl_max_its = 3
dt = 5.0e-1
num_steps = 2
[]
[Outputs]
file_base = fdp_geometric_coupling_out
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/1D.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[fred]
type = GeneratedMeshGenerator
dim = 1
nx = 25
xmin = 0
xmax = 1
boundary_name_prefix = left
elem_type = edge3
[]
[wilma]
type = GeneratedMeshGenerator
dim = 1
nx = 25
xmin = 2
xmax = 3
boundary_id_offset = 10
boundary_name_prefix = right
elem_type = edge3
[]
[combine]
type = CombinerGenerator
inputs = 'fred wilma'
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[]
[]
[Variables]
[temp]
initial_condition = 100
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[temp_far_left]
type = FunctionDirichletBC
boundary = left_left
variable = temp
function = temp
[]
[temp_far_right]
type = DirichletBC
boundary = right_right
variable = temp
value = 100
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = right_left
secondary = left_right
emissivity_primary = 0
emissivity_secondary = 0
[]
[]
[Materials]
[heat]
type = HeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 1.0e6
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_abs_tol = 1e-3
nl_rel_tol = 1e-12
l_tol = 1e-8
l_max_its = 100
start_time = 0.0
dt = 2e-1
end_time = 2.0
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = left_right
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_right]
type = SideAverageValue
boundary = right_left
variable = temp
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_yz.i)
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks in the y-z plane. Each element block
# is a square. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far bottom boundary
# is ramped from 100 to 200 over one time unit. The temperature of the far top
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
# The heat flux across the gap at time = 1 is then:
#
# Flux = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors. These results
# are the same as for the unit 1-D gap heat transfer between two unit cubes.
[Mesh]
[file]
type = FileMeshGenerator
file = simple_2D.e
[]
[./rotate]
type = TransformGenerator
transform = ROTATE
vector_value = '0 90 90'
input = file
[../]
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./temp_far_bottom]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_top]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-12
l_tol = 1e-3
l_max_its = 100
dt = 1e-1
end_time = 1.0
[]
[Postprocessors]
[./temp_bottom]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_top]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_bottom]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./flux_top]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
exodus = 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/combined/tutorials/introduction/thermal_mechanical_contact/thermomech_cont_step02.i)
#
# Three shell thermo mechanical contact
# https://mooseframework.inl.gov/modules/combined/tutorials/introduction/step02.html
#
[GlobalParams]
displacements = 'disp_x disp_y'
block = '0 1 2'
[]
[Problem]
# switch to an axisymmetric coordinate system
coord_type = RZ
[]
[Mesh]
# inner cylinder
[inner]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 40
xmax = 1
ymin = -1.75
ymax = 1.75
boundary_name_prefix = inner
[]
# middle shell with subdomain ID 1
[middle_elements]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 40
xmin = 1.1
xmax = 2.1
ymin = -2.5
ymax = 2.5
boundary_name_prefix = middle
boundary_id_offset = 4
[]
[middle]
type = SubdomainIDGenerator
input = middle_elements
subdomain_id = 1
[]
# outer shell with subdomain ID 2
[outer_elements]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 48
xmin = 2.2
xmax = 3.2
ymin = -3
ymax = 3
boundary_name_prefix = outer
boundary_id_offset = 8
[]
[outer]
type = SubdomainIDGenerator
input = outer_elements
subdomain_id = 2
[]
[collect_meshes]
type = MeshCollectionGenerator
inputs = 'inner middle outer'
[]
# add set of 3 nodes to remove rigid body modes for y-translation in each block
[pin]
type = ExtraNodesetGenerator
input = collect_meshes
new_boundary = pin
coord = '0 0 0; 1.6 0 0; 2.7 0 0'
[]
patch_update_strategy = iteration
[]
[Variables]
# temperature field variable (first order Lagrange by default)
[T]
[]
# temperature lagrange multipliers
[Tlm1]
block = 'inner_gap_secondary_subdomain'
[]
[Tlm2]
block = 'outer_gap_secondary_subdomain'
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[dTdt]
type = HeatConductionTimeDerivative
variable = T
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = FINITE
eigenstrain_names = thermal
generate_output = 'vonmises_stress stress_xx strain_xx stress_yy strain_yy'
volumetric_locking_correction = true
temperature = T
[]
[]
[Contact]
[inner_gap]
primary = middle_left
secondary = inner_right
model = frictionless
formulation = mortar
c_normal = 1e+0
[]
[outer_gap]
primary = outer_left
secondary = middle_right
model = frictionless
formulation = mortar
c_normal = 1e+0
[]
[]
[Constraints]
# thermal contact constraint
[Tlm1]
type = GapConductanceConstraint
variable = Tlm1
secondary_variable = T
use_displaced_mesh = true
k = 1e-1
primary_boundary = middle_left
primary_subdomain = inner_gap_secondary_subdomain
secondary_boundary = inner_right
secondary_subdomain = inner_gap_primary_subdomain
[]
[Tlm2]
type = GapConductanceConstraint
variable = Tlm2
secondary_variable = T
use_displaced_mesh = true
k = 1e-1
primary_boundary = outer_left
primary_subdomain = outer_gap_secondary_subdomain
secondary_boundary = middle_right
secondary_subdomain = outer_gap_primary_subdomain
[]
[]
[BCs]
[center_axis_fix]
type = DirichletBC
variable = disp_x
boundary = 'inner_left'
value = 0
[]
[y_translation_fix]
type = DirichletBC
variable = disp_y
boundary = 'pin'
value = 0
[]
[heat_center]
type = FunctionDirichletBC
variable = T
boundary = 'inner_left'
function = t*40
[]
[cool_right]
type = DirichletBC
variable = T
boundary = 'outer_right'
value = 0
[]
[]
[Materials]
[eigen_strain_inner]
type = ComputeThermalExpansionEigenstrain
eigenstrain_name = thermal
temperature = T
thermal_expansion_coeff = 1e-3
stress_free_temperature = 0
block = 0
[]
[eigen_strain_middle]
type = ComputeThermalExpansionEigenstrain
eigenstrain_name = thermal
temperature = T
thermal_expansion_coeff = 2e-4
stress_free_temperature = 0
block = 1
[]
[eigen_strain_outer]
type = ComputeThermalExpansionEigenstrain
eigenstrain_name = thermal
temperature = T
thermal_expansion_coeff = 1e-5
stress_free_temperature = 0
block = 2
[]
[elasticity]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1
poissons_ratio = 0.3
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
# thermal properties
[thermal_conductivity_0]
type = HeatConductionMaterial
thermal_conductivity = 50
specific_heat = 1
block = 0
[]
[thermal_conductivity_1]
type = HeatConductionMaterial
thermal_conductivity = 5
specific_heat = 1
block = 1
[]
[thermal_conductivity_2]
type = HeatConductionMaterial
thermal_conductivity = 1
specific_heat = 1
block = 2
[]
[density]
type = Density
density = 1
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
# [Debug]
# show_var_residual_norms = true
# []
[Executioner]
type = Transient
solve_type = PJFNK
line_search = none
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu nonzero '
snesmf_reuse_base = false
end_time = 7
dt = 0.05
nl_rel_tol = 1e-08
nl_abs_tol = 1e-50
[Predictor]
type = SimplePredictor
scale = 0.5
[]
[]
[Outputs]
exodus = true
print_linear_residuals = false
perf_graph = true
[]
(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/combined/test/tests/elastic_thermal_patch/ad_elastic_thermal_weak_plane_stress_jacobian.i)
[GlobalParams]
displacements = 'disp_x disp_y'
temperature = temp
out_of_plane_strain = strain_zz
[]
[Mesh]
[./square]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./strain_zz]
[../]
[./temp]
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./plane_stress]
planar_formulation = WEAK_PLANE_STRESS
strain = SMALL
eigenstrain_names = thermal_eigenstrain
use_automatic_differentiation = true
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
use_displaced_mesh = false
[../]
[]
[Materials]
[./elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
poissons_ratio = 0.0
youngs_modulus = 1
[../]
[./thermal_strain]
type = ADComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-5
stress_free_temperature = 0
eigenstrain_name = thermal_eigenstrain
[../]
[./stress]
type = ADComputeLinearElasticStress
[../]
[./conductivity]
type = HeatConductionMaterial
thermal_conductivity = 1
use_displaced_mesh = false
[../]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-ksp_type -pc_type -snes_type'
petsc_options_value = 'bcgs bjacobi test'
end_time = 1.0
[]
(modules/heat_transfer/test/tests/homogenization/homogenize_tc_hex.i)
[Mesh]
[fmg]
type = FileMeshGenerator
file = homogenize_tc_hex.e
[]
[]
[Variables]
[chi_x]
[]
[chi_y]
[]
[chi_z]
[]
[]
[Kernels]
[conduction_x]
type = HeatConduction
variable = chi_x
[]
[conduction_y]
type = HeatConduction
variable = chi_y
[]
[conduction_z]
type = HeatConduction
variable = chi_z
[]
[rhs_hom_x]
type = HomogenizedHeatConduction
variable = chi_x
component = 0
[]
[rhs_hom_y]
type = HomogenizedHeatConduction
variable = chi_y
component = 1
[]
[rhs_hom_z]
type = HomogenizedHeatConduction
variable = chi_z
component = 2
[]
[]
[Materials]
[thermal_conductivity1]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '20'
block = 'mat1'
[]
[thermal_conductivity2]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '10'
block = 'mat2'
[]
[thermal_conductivity3]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '4'
block = 'mat3 mat4 mat5'
[]
[thermal_conductivity4]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '100'
block = 'mat6 mat7'
[]
[thermal_conductivity5]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '0.001'
block = 'mat8'
[]
[thermal_conductivity6]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '12'
block = 'mat9'
[]
[]
[BCs]
[fix_chi_x]
type = DirichletBC
variable = chi_x
value = 0
boundary = fix_chi
[]
[fix_chi_y]
type = DirichletBC
variable = chi_y
value = 0
boundary = fix_chi
[]
[fix_chi_z]
type = DirichletBC
variable = chi_z
value = 0
boundary = fix_chi
[]
[Periodic]
[pair_1]
primary = pb_1a
secondary = pb_1b
translation = '0 7 0'
[]
F2F = 7
dx = ${fparse 3 * F2F / 2 / sqrt(3)}
[pair_2]
primary = pb_2a
secondary = pb_2b
translation = '${fparse -dx} ${fparse F2F / 2} 0'
[]
[pair_3]
primary = pb_3a
secondary = pb_3b
translation = '${fparse dx} ${fparse F2F / 2} 0'
[]
[pair_4]
primary = pb_4a
secondary = pb_4b
translation = '0 0 -2'
[]
[]
[]
[Executioner]
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type -pc_hypre_boomeramg_strong_threshold -ksp_gmres_restart -pc_hypre_boomeramg_max_iter -pc_hypre_boomeramg_tol'
petsc_options_value = 'hypre boomeramg 0.7 100 30 1e-5'
[]
[Postprocessors]
[k_xx]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 0
col = 0
execute_on = 'initial timestep_end'
[]
[k_xy]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 0
col = 1
execute_on = 'initial timestep_end'
[]
[k_xz]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 0
col = 2
execute_on = 'initial timestep_end'
[]
[k_yx]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 1
col = 0
execute_on = 'initial timestep_end'
[]
[k_yy]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 1
col = 1
execute_on = 'initial timestep_end'
[]
[k_yz]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 1
col = 2
execute_on = 'initial timestep_end'
[]
[k_zx]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 2
col = 0
execute_on = 'initial timestep_end'
[]
[k_zy]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 2
col = 1
execute_on = 'initial timestep_end'
[]
[k_zz]
type = HomogenizedThermalConductivity
chi = 'chi_x chi_y chi_z'
row = 2
col = 2
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
[outp_csv]
type = CSV
# these are too small and will cause issues
hide = 'k_xz k_yz k_zx k_zy'
[]
[]
(modules/combined/test/tests/thermal_conductivity_temperature_function_test/thermal_conductivity_temperature_function_test.i)
#
# This test evaluates the capability of HeatConductionMaterial to define
# thermal conductivity as a function of temperature. The test uses the patch test
# cube mesh with a flux bc on one side and a temperature bc on the opposite side.
# The temperature bc changes as a function of time from 100 to 200. The thermal
# conductivity is a function of temperature, with k = 1 for temps = 100-199, k = 2
# for temps _>_ 200. The flux, q = 10 is constant. The Transient Executioner is used here
# although the interial kernel is omitted, so this is really a series of two steady-state
# solutions.
#
# ---------------
# | |
# | |
# q -> | k | T2
# | |
# T1 = ? | |
# ---------------
# dx = 1
#
#
# q = -k dT/dx
#
# q = -k (T1 - T2)/dx
#
# T1 = (q/-k)*dx + T2
#
# for: T2 = 100, k = 1, q = -10
#
# T1 = 110
# --------
#
# for: T2 = 200, k = 2, q = -10
#
# T1 = 205
# --------
#
[Mesh]#Comment
file = fe_patch.e
[] # Mesh
[Functions]
[./k_func]
type = PiecewiseLinear
x = '100 199 200'
y = '1 1 2'
[../]
[./c_func]
type = PiecewiseLinear
x = '100 200'
y = '0.116 0.116'
[../]
[./t_func]
type = PiecewiseLinear
x = '0 1 2'
y = '100 100 200'
[../]
[] # Functions
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[] # Variables
[Kernels]
[./heat_r]
type = HeatConduction
variable = temp
[../]
[] # Kernels
[BCs]
[./temps_function]
type = FunctionDirichletBC
variable = temp
boundary = 1000
function = t_func
[../]
[./flux_in]
type = NeumannBC
variable = temp
boundary = 100
value = 10
[../]
[] # BCs
[Materials]
[./heat]
type = HeatConductionMaterial
block = 1
temp = temp
thermal_conductivity_temperature_function = k_func
specific_heat_temperature_function = c_func
[../]
[./density]
type = Density
block = 1
density = 0.283
[../]
[] # Materials
[Executioner]
type = Transient
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 101'
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
dt = 1
end_time = 2
num_steps = 2
[] # Executioner
[Outputs]
file_base = out
exodus = true
[] # Outputs
(modules/heat_transfer/test/tests/gray_lambert_radiator/coupled_heat_conduction.i)
[Problem]
kernel_coverage_check = false
[]
[Mesh]
type = MeshGeneratorMesh
[./cartesian]
type = CartesianMeshGenerator
dim = 2
dx = '1 1 1'
ix = '2 2 2'
dy = '5'
iy = '10'
subdomain_id = '1 2 3'
[../]
[./break_sides]
type = BreakBoundaryOnSubdomainGenerator
boundaries = 'bottom top'
input = cartesian
[../]
[./left_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 1
paired_block = 2
new_boundary = left_interior
input = break_sides
[../]
[./right_interior]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 2
new_boundary = right_interior
input = left_interior
[../]
[./rename]
type = RenameBlockGenerator
input = right_interior
old_block = '1 2 3'
new_block = '1 4 3'
[../]
[]
[Variables]
[./temperature]
initial_condition = 300
block = '1 3'
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temperature
diffusion_coefficient = 1
block = '1 3'
[../]
[]
[UserObjects]
[./cavity_radiation]
type = ConstantViewFactorSurfaceRadiation
boundary = 'left_interior right_interior bottom_to_2 top_to_2'
temperature = temperature
emissivity = '0.8 0.8 0.8 0.8'
adiabatic_boundary = 'bottom_to_2 top_to_2'
# these view factors are made up to exactly balance energy
# transfer through the cavity
view_factors = '0 0.8 0.1 0.1;
0.8 0 0.1 0.1;
0.45 0.45 0 0.1;
0.45 0.45 0.1 0'
execute_on = 'INITIAL LINEAR TIMESTEP_END'
[../]
[]
[BCs]
[./bottom_left]
type = DirichletBC
preset = false
variable = temperature
boundary = bottom_to_1
value = 1500
[../]
[./top_right]
type = DirichletBC
preset = false
variable = temperature
boundary = top_to_3
value = 300
[../]
[./radiation]
type = GrayLambertNeumannBC
variable = temperature
reconstruct_emission = false
surface_radiation_object_name = cavity_radiation
boundary = 'left_interior right_interior'
[../]
[]
[Postprocessors]
[./qdot_left]
type = GrayLambertSurfaceRadiationPP
boundary = left_interior
surface_radiation_object_name = cavity_radiation
return_type = HEAT_FLUX_DENSITY
[../]
[./qdot_right]
type = GrayLambertSurfaceRadiationPP
boundary = right_interior
surface_radiation_object_name = cavity_radiation
return_type = HEAT_FLUX_DENSITY
[../]
[./qdot_top]
type = GrayLambertSurfaceRadiationPP
boundary = top_to_2
surface_radiation_object_name = cavity_radiation
return_type = HEAT_FLUX_DENSITY
[../]
[./qdot_bottom]
type = GrayLambertSurfaceRadiationPP
boundary = bottom_to_2
surface_radiation_object_name = cavity_radiation
return_type = HEAT_FLUX_DENSITY
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/combined_plasticity_temperature/plasticity_temperature_dep_yield.i)
#
# This is a test of the piece-wise linear strain hardening model using the
# small strain formulation. This test exercises the temperature-dependent
# yield stress.
#
# Test procedure:
# 1. The element is pulled to and then beyond the yield stress for a given
# temperature.
# 2. The displacement is then constant while the temperature increases and
# the yield stress decreases. This results in a lower stress with more
# plastic strain.
# 3. The temperature decreases beyond its original value giving a higher
# yield stress. The displacement increases, causing increases stress to
# the new yield stress.
# 4. The temperature and yield stress are constant with increasing
# displacement giving a constant stress and more plastic strain.
#
# Plotting total_strain_yy on the x axis and stress_yy on the y axis shows
# the stress history in a clear way.
#
# s |
# t | *****
# r | *
# e | ***** *
# s | * * *
# s | * *
# |*
# +------------------
# total strain
#
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
strain = FINITE
incremental = true
add_variables = true
generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
[../]
[]
[Functions]
[./top_pull]
type = PiecewiseLinear
x = '0 1 2 4 5 6'
y = '0 0.025 0.05 0.05 0.06 0.085'
[../]
[./yield]
type = PiecewiseLinear
x = '400 500 600'
y = '6e3 5e3 4e3'
[../]
[./temp]
type = PiecewiseLinear
x = '0 1 2 3 4'
y = '500 500 500 600 400'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./y_pull_function]
type = FunctionDirichletBC
variable = disp_y
boundary = top
function = top_pull
[../]
[./x_bot]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./y_bot]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[../]
[./z_bot]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
function = temp
boundary = left
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 2.0e5
poissons_ratio = 0.3
[../]
[./creep_plas]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
block = 0
inelastic_models = 'plasticity'
max_iterations = 50
absolute_tolerance = 1e-05
[../]
[./plasticity]
type = IsotropicPlasticityStressUpdate
block = 0
hardening_constant = 0
yield_stress_function = yield
temperature = temp
[../]
[./heat_conduction]
type = HeatConductionMaterial
block = 0
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
l_max_its = 100
nl_max_its = 100
nl_rel_tol = 1e-12
nl_abs_tol = 1e-10
l_tol = 1e-9
start_time = 0.0
end_time = 6
dt = 0.1
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/heat_conduction_xfem/heat.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 6
xmin = 0.0
xmax = 1.0
ymin = 0.0
ymax = 1.0
elem_type = QUAD4
[]
[XFEM]
geometric_cut_userobjects = 'line_seg_cut_uo'
qrule = volfrac
output_cut_plane = true
[]
[UserObjects]
[./line_seg_cut_uo]
type = LineSegmentCutUserObject
cut_data = '0.5 1.0 0.5 0.5'
time_start_cut = 0.0
time_end_cut = 0.0
[../]
[]
[Variables]
[./temp]
initial_condition = 300.0 # set initial temp to ambient
[../]
[]
[Functions]
[./temp_left]
type = PiecewiseLinear
x = '0 2'
y = '0 0.1'
[../]
[]
[Kernels]
[./heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[../]
[]
[BCs]
# Define boundary conditions
[./left_temp]
type = FunctionDirichletBC
variable = temp
boundary = 3
function = temp_left
[../]
[./right_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 0
[../]
[]
[Materials]
[./fuel_thermal]
type = HeatConductionMaterial
block = 0
temp = temp
thermal_conductivity = 5.0
specific_heat = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 8'
line_search = 'none'
l_max_its = 100
l_tol = 8e-3
nl_max_its = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
end_time = 2.0
num_steps = 2
[]
[Outputs]
# Define output file(s)
file_base = heat_out
time_step_interval = 1
execute_on = timestep_end
exodus = true
[./console]
type = Console
output_linear = true
[../]
[]
(modules/heat_transfer/test/tests/thin_layer_heat_transfer/transient_2d.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 10
ny = 10
dim = 2
[]
[block1]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 0'
top_right = '0.5 1 0'
input = gen
[]
[block2]
type = SubdomainBoundingBoxGenerator
block_id = 2
bottom_left = '0.5 0 0'
top_right = '1 1 0'
input = block1
[]
[breakmesh]
input = block2
type = BreakMeshByBlockGenerator
block_pairs = '1 2'
split_interface = true
add_interface_on_two_sides = true
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time]
type = HeatConductionTimeDerivative
variable = temperature
[]
[thermal_cond]
type = HeatConduction
variable = temperature
[]
[]
[InterfaceKernels]
[thin_layer]
type = ThinLayerHeatTransfer
thermal_conductivity = thermal_conductivity_layer
specific_heat = specific_heat_layer
density = density_layer
heat_source = heat_source_layer
thickness = 0.01
variable = temperature
neighbor_var = temperature
boundary = Block1_Block2
[]
[]
[BCs]
[left_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = left
[]
[right_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = right
[]
[]
[Materials]
[thermal_cond]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1 1 1'
[]
[thermal_cond_layer]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity_layer specific_heat_layer heat_source_layer density_layer'
prop_values = '0.05 1 10000 1'
boundary = Block1_Block2
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
dt = 0.05
num_steps = 2
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/spherical_test_no1.i)
# Problem III.1
#
# A spherical shell has a constant thermal conductivity k and internal
# heat generation q. It has inner radius ri and outer radius ro.
# Both surfaces are exposed to constant temperatures: u(ri) = ui and u(ro) = uo.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RSPHERICAL
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'ri ro ui uo'
symbol_values = '0.2 1.0 300 0'
expression = '( uo * (1/ri-1/x) - ui * (1/ro-1/x)) / (1/ri-1/ro)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[]
[BCs]
[./ui]
type = DirichletBC
boundary = left
variable = u
value = 300
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 5.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_no_action.i)
[Problem]
kernel_coverage_check = false
[]
[Mesh]
type = MeshGeneratorMesh
[./cmg]
type = CartesianMeshGenerator
dim = 2
dx = '1 1.3 1.9'
ix = '3 3 3'
dy = '2 1.2 0.9'
iy = '3 3 3'
subdomain_id = '0 1 0
4 5 2
0 3 0'
[../]
[./inner_bottom]
type = SideSetsBetweenSubdomainsGenerator
input = cmg
primary_block = 1
paired_block = 5
new_boundary = 'inner_bottom'
[../]
[./inner_left]
type = SideSetsBetweenSubdomainsGenerator
input = inner_bottom
primary_block = 4
paired_block = 5
new_boundary = 'inner_left'
[../]
[./inner_right]
type = SideSetsBetweenSubdomainsGenerator
input = inner_left
primary_block = 2
paired_block = 5
new_boundary = 'inner_right'
[../]
[./inner_top]
type = SideSetsBetweenSubdomainsGenerator
input = inner_right
primary_block = 3
paired_block = 5
new_boundary = 'inner_top'
[../]
[./rename]
type = RenameBlockGenerator
old_block = '1 2 3 4'
new_block = '0 0 0 0'
input = inner_top
[../]
[./split_inner_bottom]
type = PatchSidesetGenerator
boundary = 4
n_patches = 2
partitioner = centroid
centroid_partitioner_direction = x
input = rename
[../]
[./split_inner_left]
type = PatchSidesetGenerator
boundary = 5
n_patches = 2
partitioner = centroid
centroid_partitioner_direction = y
input = split_inner_bottom
[../]
[./split_inner_right]
type = PatchSidesetGenerator
boundary = 6
n_patches = 2
partitioner = centroid
centroid_partitioner_direction = y
input = split_inner_left
[../]
[./split_inner_top]
type = PatchSidesetGenerator
boundary = 7
n_patches = 3
partitioner = centroid
centroid_partitioner_direction = x
input = split_inner_right
[../]
[]
[Variables]
[./temperature]
block = 0
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temperature
block = 0
diffusion_coefficient = 5
[../]
[]
[UserObjects]
[./gray_lambert]
type = ViewFactorObjectSurfaceRadiation
boundary = 'inner_bottom_0 inner_bottom_1
inner_left_0 inner_left_1
inner_right_0 inner_right_1
inner_top_0 inner_top_1 inner_top_2'
fixed_temperature_boundary = 'inner_bottom_0 inner_bottom_1'
fixed_boundary_temperatures = '1200 1200'
adiabatic_boundary = 'inner_top_0 inner_top_1 inner_top_2'
emissivity = '0.9 0.9
0.8 0.8
0.4 0.4
1 1 1'
temperature = temperature
view_factor_object_name = view_factor
execute_on = 'LINEAR TIMESTEP_END'
[../]
[./view_factor]
type = UnobstructedPlanarViewFactor
boundary = 'inner_bottom_0 inner_bottom_1
inner_left_0 inner_left_1
inner_right_0 inner_right_1
inner_top_0 inner_top_1 inner_top_2'
normalize_view_factor = true
execute_on = 'INITIAL'
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temperature
boundary = left
value = 600
[../]
[./right]
type = DirichletBC
variable = temperature
boundary = right
value = 300
[../]
[./radiation]
type = GrayLambertNeumannBC
variable = temperature
surface_radiation_object_name = gray_lambert
boundary = 'inner_left_0 inner_left_1
inner_right_0 inner_right_1'
[../]
[]
[Postprocessors]
[./average_T_inner_right]
type = SideAverageValue
variable = temperature
boundary = inner_right
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_gap_thermal_contact_constant_conductance.i)
[Mesh]
[fmesh]
type = FileMeshGenerator
file = meshed_gap.e
[]
[block0]
type = SubdomainBoundingBoxGenerator
input = fmesh
bottom_left = '.5 -.5 0'
top_right = '.7 .5 0'
block_id = 4
[]
[]
[Variables]
[./temp]
block = '1 3'
initial_condition = 1.0
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
block = '1 3'
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = 1
value = 1
[../]
[./right]
type = DirichletBC
variable = temp
boundary = 4
value = 2
[../]
[]
[ThermalContact]
[./gap_conductance]
type = GapHeatTransfer
variable = temp
primary = 2
secondary = 3
emissivity_primary = 0
emissivity_secondary = 0
gap_conductance = 2.5
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = '1 3'
temp = temp
thermal_conductivity = 1
[../]
[]
[Problem]
type = FEProblem
kernel_coverage_check = false
material_coverage_check = false
[]
[Executioner]
type = Steady
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[./out]
type = Exodus
[../]
[]
(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch.i)
#
# This problem is taken from the Abaqus verification manual:
# "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is 200x+100y+200z.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x y z Temperature
# 1 1.00E+00 0.00E+00 1.00E+00 400
# 2 6.77E-01 3.05E-01 6.83E-01 302.5
# 3 3.20E-01 1.86E-01 6.43E-01 211.2
# 4 0.00E+00 0.00E+00 1.00E+00 200
# 5 1.00E+00 1.00E+00 1.00E+00 500
# 6 7.88E-01 6.93E-01 6.44E-01 355.7
# 7 1.65E-01 7.45E-01 7.02E-01 247.9
# 8 0.00E+00 1.00E+00 1.00E+00 300
# 9 1.00E+00 0.00E+00 0.00E+00 200
# 10 0.00E+00 0.00E+00 0.00E+00 0
# 11 8.26E-01 2.88E-01 2.88E-01 251.6
# 12 2.49E-01 3.42E-01 1.92E-01 122.4
# 13 2.73E-01 7.50E-01 2.30E-01 175.6
# 14 0.00E+00 1.00E+00 0.00E+00 100
# 15 8.50E-01 6.49E-01 2.63E-01 287.5
# 16 1.00E+00 1.00E+00 0.00E+00 300
[Mesh]#Comment
file = heat_conduction_patch.e
[] # Mesh
[Functions]
[./temps]
type = ParsedFunction
expression ='200*x+100*y+200*z'
[../]
[] # Functions
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
[../]
[] # Variables
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[] # Kernels
[BCs]
[./temps]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temps
[../]
[] # BCs
[Materials]
[./heat]
type = HeatConductionMaterial
block = 1
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[] # Materials
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 101'
line_search = 'none'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-10
l_max_its = 20
[] # Executioner
[Outputs]
exodus = true
[] # Output
(modules/combined/test/tests/optimization/compliance_sensitivity/three_materials_thermal.i)
vol_frac = 0.4
cost_frac = 0.4
power = 4
# Stiffness (not optimized in this test)
E0 = 1.0e-6
E1 = 0.2
E2 = 0.6
E3 = 1.0
# Densities
rho0 = 1.0e-6
rho1 = 0.4
rho2 = 0.7
rho3 = 1.0
# Costs
C0 = 1.0e-6
C1 = 0.5
C2 = 0.8
C3 = 1.0
# Thermal conductivity
TC0 = 1.0e-6
TC1 = 0.2
TC2 = 0.6
TC3 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 40
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '20 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '40 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Tc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
# [ICs]
# [mat_den]
# type = RandomIC
# seed = 4
# variable = mat_den
# max = '${fparse vol_frac+0.25}'
# min = '${fparse vol_frac-0.25}'
# []
# []
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = thermal_cond
[]
[heat_source]
type = HeatSource
value = 1e-2 # W/m^3
variable = temp
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[top]
type = DirichletBC
variable = temp
boundary = top
value = 0
[]
[bottom]
type = DirichletBC
variable = temp
boundary = bottom
value = 0
[]
[right]
type = DirichletBC
variable = temp
boundary = right
value = 0
[]
[left]
type = DirichletBC
variable = temp
boundary = left
value = 0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = -1e-6 # -3
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = -1e-6 # -3
mass = 1
[]
[]
[Materials]
[thermal_cond]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${TC0}-${TC1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${TC0}-A1*${rho0}^${power}; TC1:=A1*mat_den^${power}+B1; "
"A2:=(${TC1}-${TC2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${TC1}-A2*${rho1}^${power}; TC2:=A2*mat_den^${power}+B2; "
"A3:=(${TC2}-${TC3})/(${rho2}^${power}-${rho3}^${power}); "
"B3:=${TC2}-A3*${rho2}^${power}; TC3:=A3*mat_den^${power}+B3; "
"if(mat_den<${rho1},TC1,if(mat_den<${rho2},TC2,TC3))"
coupled_variables = 'mat_den'
property_name = thermal_cond
outputs = 'exodus'
[]
[thermal_compliance]
type = ThermalCompliance
temperature = temp
thermal_conductivity = thermal_cond
outputs = 'exodus'
[]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"A3:=(${E2}-${E3})/(${rho2}^${power}-${rho3}^${power}); "
"B3:=${E2}-A3*${rho2}^${power}; E3:=A3*mat_den^${power}+B3; "
"if(mat_den<${rho1},E1,if(mat_den<${rho2},E2,E3))"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; "
"A2:=(${C1}-${C2})/(${rho1}^(1/${power})-${rho2}^(1/${power})); "
"B2:=${C1}-A2*${rho1}^(1/${power}); C2:=A2*mat_den^(1/${power})+B2; "
"A3:=(${C2}-${C3})/(${rho2}^(1/${power})-${rho3}^(1/${power})); "
"B3:=${C2}-A3*${rho2}^(1/${power}); C3:=A3*mat_den^(1/${power})+B3; "
"if(mat_den<${rho1},C1,if(mat_den<${rho2},C2,C3))"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[tc]
type = ThermalSensitivity
design_density = mat_den
thermal_conductivity = thermal_cond
temperature = temp
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 4
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 4
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_thermal]
type = RadialAverage
radius = 4
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e12 # 100
use_thermal_compliance = true
thermal_sensitivity = Tc
# Only account for thermal optimizxation
weight_mechanical_thermal = '0 1'
relative_tolerance = 1.0e-8
bisection_move = 0.05
adaptive_move = false
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Tc
[calc_sense_thermal]
type = SensitivityFilter
density_sensitivity = Tc
design_density = mat_den
filter_UO = rad_avg_thermal
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 12
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(tutorials/tutorial03_verification/app/test/tests/step03_analytical/1d_analytical.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
xmax = 0.03
nx = 200
[]
[]
[Variables]
[T]
[]
[]
[ICs]
[T_O]
type = ConstantIC
variable = T
value = 300
[]
[]
[Kernels]
[T_time]
type = HeatConductionTimeDerivative
variable = T
density_name = 7800
specific_heat = 450
[]
[T_cond]
type = HeatConduction
variable = T
diffusion_coefficient = 80.2
[]
[]
[BCs]
[left]
type = NeumannBC
variable = T
boundary = left
value = 7e5
[]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = NEWTON
dt = 0.01
end_time = 1
[]
[Outputs]
exodus = true
csv = true
[]
[Functions]
[T_exact]
type = ParsedFunction
symbol_names = 'k rho cp T0 qs'
symbol_values = '80.2 7800 450 300 7e5'
expression = 'T0 + '
'qs/k*(2*sqrt(k/(rho*cp)*t/pi)*exp(-x^2/(4*k/(rho*cp)*(t+1e-50))) - '
'x*(1-erf(x/(2*sqrt(k/(rho*cp)*(t+1e-50))))))'
[]
[]
[Postprocessors]
[error]
type = NodalL2Error
variable = T
function = T_exact
[]
[h]
type = AverageElementSize
[]
[]
[VectorPostprocessors]
[T_exact]
type = LineFunctionSampler
functions = T_exact
start_point = '0 0 0'
end_point = '0.03 0 0'
num_points = 200
sort_by = x
execute_on = 'INITIAL TIMESTEP_END'
[]
[T_simulation]
type = LineValueSampler
variable = T
start_point = '0 0 0'
end_point = '0.03 0 0'
num_points = 200
sort_by = x
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_it_plot_test.i)
#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each. Each
# element is a unit cube. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit, and then held fixed for an additional
# time unit. The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
#
# The heat flux across the gap at time = 2 is then:
#
# Flux(2) = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors
#
[Mesh]
file = gap_heat_transfer_htonly_test.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_abs_tol = 1e-5
nl_rel_tol = 1e-12
l_tol = 1e-10
l_max_its = 100
start_time = 0.0
dt = 1e-1
end_time = 2.0
[]
[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
[../]
[]
[Outputs]
file_base = out_it_plot
[./exodus]
type = Exodus
execute_on = 'initial timestep_end nonlinear'
nonlinear_residual_dt_divisor = 100
[../]
[]
(modules/combined/test/tests/axisymmetric_2d3d_solution_function/2d.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = 2d.e
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 400
[]
[]
[AuxVariables]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_inner_func]
type = PiecewiseLinear
xy_data = '0 400
1 350'
[]
[temp_outer_func]
type = PiecewiseLinear
xy_data = '0 400
1 400'
[]
[press_func]
type = PiecewiseLinear
xy_data = '0 15
1 15'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
volumetric_locking_correction = true
add_variables = true
incremental = true
strain = FINITE
eigenstrain_names = thermal_expansion
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
temperature = temp
[]
[]
[AuxKernels]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[Pressure]
[internal_pressure]
boundary = '4'
factor = 1.e6
function = press_func
[]
[]
[t_in]
type = FunctionDirichletBC
variable = temp
boundary = '4'
function = temp_inner_func
[]
[t_out]
type = FunctionDirichletBC
variable = temp
boundary = '2'
function = temp_outer_func
[]
[]
[Constraints]
[disp_y]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = '65'
secondary = '3'
penalty = 1e18
[]
[]
[Materials]
[thermal1]
type = HeatConductionMaterial
block = '1'
thermal_conductivity = 25.0
specific_heat = 490.0
temp = temp
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 193.05e9
poissons_ratio = 0.3
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 13e-6
stress_free_temperature = 295.00
temperature = temp
eigenstrain_name = thermal_expansion
[]
[density]
type = Density
block = '1'
density = 8000.0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-ksp_snes_ew'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = ' 201 hypre boomeramg 4'
line_search = 'none'
l_max_its = 25
nl_max_its = 20
nl_rel_tol = 1e-9
l_tol = 1e-2
start_time = 0.0
dt = 1
end_time = 1
dtmin = 1
[]
[Outputs]
file_base = 2d_out
exodus = true
[console]
type = Console
max_rows = 25
[]
[]
(modules/heat_transfer/test/tests/heat_conduction/min_gap/min_gap.i)
[Mesh]
type = MeshGeneratorMesh
displacements = 'disp_x disp_y'
[./left_gen]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 3
xmin = -3
xmax = 0
ymin = -5
ymax = 5
[../]
[./right_gen]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 3
xmin = 3
xmax = 6
ymin = -5
ymax = 5
[../]
[./left_and_right]
type = MeshCollectionGenerator
inputs = 'left_gen right_gen'
[../]
[./leftleft]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = leftleft
normal = '-1 0 0'
input = left_and_right
[../]
[./leftright]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = leftright
normal = '1 0 0'
input = leftleft
[../]
[./right]
type = SubdomainBoundingBoxGenerator
top_right = '6 5 0'
bottom_left = '3 -5 0'
block_id = 1
input = leftright
[../]
[./rightleft]
type = SideSetsAroundSubdomainGenerator
block = 1
new_boundary = rightleft
normal = '-1 0 0'
input = right
[../]
[./rightright]
type = SideSetsAroundSubdomainGenerator
block = 1
new_boundary = rightright
normal = '1 0 0'
input = rightleft
[../]
[]
[Variables]
[./temp]
[../]
[]
[AuxVariables]
[./disp_x]
[../]
[./disp_y]
[../]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Functions]
[./disp_x]
type = ParsedFunction
expression = -3+t
[../]
[./left_temp]
type = ParsedFunction
expression = 1000+t
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[AuxKernels]
[./disp_x]
type = FunctionAux
block = 1
variable = disp_x
function = disp_x
execute_on = 'INITIAL TIMESTEP_END'
[../]
[./gap_conductivity]
type = MaterialRealAux
boundary = leftright
property = gap_conductance
variable = gap_conductance
execute_on = 'INITIAL TIMESTEP_END'
[../]
[]
[BCs]
[./left]
type = FunctionDirichletBC
variable = temp
boundary = leftleft
function = left_temp
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
variable = temp
min_gap = 1
min_gap_order = 1
emissivity_primary = 0
emissivity_secondary = 0
type = GapHeatTransfer
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = '0 1'
specific_heat = 1
thermal_conductivity = 1
use_displaced_mesh = true
[../]
[]
[Postprocessors]
[./gap_conductance]
type = PointValue
point = '0 0 0'
variable = gap_conductance
[../]
[]
[Executioner]
type = Transient
dt = 0.25
end_time = 3.0
solve_type = 'PJFNK'
[]
[Outputs]
csv = true
execute_on = 'TIMESTEP_END'
[]
(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action_external_boundary.i)
[Problem]
kernel_coverage_check = false
[]
[Mesh]
[./cmg]
type = CartesianMeshGenerator
dim = 2
dx = '1 1.3 1.9'
ix = '3 3 3'
dy = '6'
iy = '9'
subdomain_id = '0 1 2'
[../]
[./inner_left]
type = SideSetsBetweenSubdomainsGenerator
input = cmg
primary_block = 0
paired_block = 1
new_boundary = 'inner_left'
[../]
[./inner_right]
type = SideSetsBetweenSubdomainsGenerator
input = inner_left
primary_block = 2
paired_block = 1
new_boundary = 'inner_right'
[../]
[./inner_top]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y - 6) < 1e-10'
normal = '0 1 0'
included_subdomains = 1
new_sideset_name = 'inner_top'
input = 'inner_right'
[../]
[./inner_bottom]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y) < 1e-10'
normal = '0 -1 0'
included_subdomains = 1
new_sideset_name = 'inner_bottom'
input = 'inner_top'
[../]
[./rename]
type = RenameBlockGenerator
old_block = '2'
new_block = '0'
input = inner_bottom
[../]
[]
[Variables]
[./temperature]
block = 0
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temperature
block = 0
diffusion_coefficient = 5
[../]
[]
[GrayDiffuseRadiation]
[./cavity]
boundary = '4 5 6 7'
emissivity = '0.9 0.8 eps_fn 1'
n_patches = '2 2 2 3'
partitioners = 'centroid centroid centroid centroid'
centroid_partitioner_directions = 'x y y x'
temperature = temperature
adiabatic_boundary = '7'
fixed_temperature_boundary = '6'
fixed_boundary_temperatures = '800'
view_factor_calculator = analytical
[../]
[]
[Functions]
[eps_fn]
type = ConstantFunction
value = 0.4
[]
[]
[BCs]
[./left]
type = DirichletBC
variable = temperature
boundary = left
value = 1000
[../]
[./right]
type = DirichletBC
variable = temperature
boundary = right
value = 300
[../]
[]
[Postprocessors]
[./average_T_inner_right]
type = SideAverageValue
variable = temperature
boundary = inner_right
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/cylindrical_test_no2.i)
# Problem II.2
#
# The thermal conductivity of an infinitely long hollow tube varies
# linearly with temperature. It is exposed on the inner
# and outer surfaces to constant temperatures.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RZ
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'ri ro beta ki ko ui uo'
symbol_values = '0.2 1.0 1e-3 5.3 5 300 0'
expression = 'uo+(ko/beta)* ( ( 1 + beta*(ki+ko)*(ui-uo)*( log(x/ro) / log(ri/ro) )/(ko^2))^0.5 -1 )'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[]
[BCs]
[./ui]
type = DirichletBC
boundary = left
variable = u
value = 300
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat'
prop_values = '1.0 1.0'
[../]
[./thermal_conductivity]
type = ParsedMaterial
property_name = 'thermal_conductivity'
coupled_variables = u
expression = '5 + 1e-3 * (u-0)'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/code_verification/cylindrical_test_no4.i)
# Problem II.4
#
# An infinitely long hollow cylinder has thermal conductivity k and internal
# heat generation q. Its inner radius is ri and outer radius is ro.
# A constant heat flux is applied to the inside surface qin and
# the outside surface is exposed to a fluid temperature T and heat transfer
# coefficient h, which results in the convective boundary condition.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RZ
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'qin q k ri ro uf h'
symbol_values = '100 1200 1.0 0.2 1 100 10'
expression = 'uf+ (0.25*q/k) * ( 2*k*(ro^2-ri^2)/(h*ro) + ro^2-x^2 + 2*ri^2*log(x/ro)) + (k/(h*ro) - log(x/ro)) * qin * ri / k'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./ui]
type = NeumannBC
boundary = left
variable = u
value = 100
[../]
[./uo]
type = CoupledConvectiveHeatFluxBC
boundary = right
variable = u
htc = 10.0
T_infinity = 100
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 1.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_change_restart1.i)
# This is a test designed to evaluate the cabability of the
# IterationAdaptiveDT TimeStepper to adjust time step size according to
# a function. For example, if the power input function for a BISON
# simulation rapidly increases or decreases, the IterationAdaptiveDT
# TimeStepper should take time steps small enough to capture the
# oscillation.
[GlobalParams]
order = FIRST
family = LAGRANGE
block = 1
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
file = 1hex8_10mm_cube.e
[]
[Functions]
[./Fiss_Function]
type = PiecewiseLinear
x = '0 1e6 2e6 2.001e6 2.002e6'
y = '0 3e8 3e8 12e8 0'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 300.0
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
strain = FINITE
incremental = true
volumetric_locking_correction = true
eigenstrain_names = thermal_expansion
decomposition_method = EigenSolution
add_variables = true
generate_output = 'vonmises_stress'
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[./heat_source]
type = HeatSource
variable = temp
value = 1.0
function = Fiss_Function
[../]
[]
[BCs]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 300
[../]
[./top_bottom_disp_x]
type = DirichletBC
variable = disp_x
boundary = '1'
value = 0
[../]
[./top_bottom_disp_y]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0
[../]
[./top_bottom_disp_z]
type = DirichletBC
variable = disp_z
boundary = '1'
value = 0
[../]
[]
[Materials]
[./thermal]
type = HeatConductionMaterial
temp = temp
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 300e6
poissons_ratio = .3
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 5e-6
stress_free_temperature = 300.0
temperature = temp
eigenstrain_name = thermal_expansion
[../]
[./density]
type = Density
density = 10963.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
verbose = true
nl_abs_tol = 1e-10
start_time = 0.0
num_steps = 65
end_time = 2.002e6
[./TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = Fiss_Function
max_function_change = 3e7
dt = 1e6
[../]
[]
[Postprocessors]
[./Temperature_of_Block]
type = ElementAverageValue
variable = temp
execute_on = 'initial timestep_end'
[../]
[./vonMises]
type = ElementAverageValue
variable = vonmises_stress
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[./console]
type = Console
max_rows = 10
[../]
[./checkpoint]
type = Checkpoint
num_files = 1
[../]
[]
(modules/combined/tutorials/introduction/thermal_mechanical_contact/thermomech_cont_step01.i)
#
# A first attempt at thermo mechanical contact
# https://mooseframework.inl.gov/modules/combined/tutorials/introduction/step01.html
#
[GlobalParams]
displacements = 'disp_x disp_y'
block = 0
[]
[Mesh]
[generated1]
type = GeneratedMeshGenerator
dim = 2
nx = 5
ny = 15
xmin = -0.6
xmax = -0.1
ymax = 5
bias_y = 0.9
boundary_name_prefix = pillar1
[]
[generated2]
type = GeneratedMeshGenerator
dim = 2
nx = 6
ny = 15
xmin = 0.1
xmax = 0.6
ymax = 4.999
bias_y = 0.9
boundary_name_prefix = pillar2
boundary_id_offset = 4
[]
[collect_meshes]
type = MeshCollectionGenerator
inputs = 'generated1 generated2'
[]
patch_update_strategy = iteration
[]
[Variables]
# temperature field variable
[T]
# initialize to an average temperature
initial_condition = 50
order = FIRST
family = LAGRANGE
[]
# temperature lagrange multiplier
[Tlm]
block = 'pillars_secondary_subdomain'
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[dTdt]
type = HeatConductionTimeDerivative
variable = T
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = FINITE
generate_output = 'vonmises_stress'
[]
[]
[Contact]
[pillars]
primary = pillar1_right
secondary = pillar2_left
model = frictionless
formulation = mortar
[]
[]
[Constraints]
# thermal contact constraint
[Tlm]
type = GapConductanceConstraint
variable = Tlm
secondary_variable = T
use_displaced_mesh = true
k = 1e-1
primary_boundary = pillar1_right
primary_subdomain = pillars_primary_subdomain
secondary_boundary = pillar2_left
secondary_subdomain = pillars_secondary_subdomain
[]
[]
[BCs]
[bottom_x]
type = DirichletBC
variable = disp_x
boundary = 'pillar1_bottom pillar2_bottom'
value = 0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = 'pillar1_bottom pillar2_bottom'
value = 0
[]
[Pressure]
[sides]
boundary = 'pillar1_left pillar2_right'
function = 1e4*t^2
[]
[]
# thermal boundary conditions (pillars are heated/cooled from the bottom)
[heat_left]
type = DirichletBC
variable = T
boundary = pillar1_bottom
value = 100
[]
[cool_right]
type = DirichletBC
variable = T
boundary = pillar2_bottom
value = 0
[]
[]
[Materials]
[elasticity]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
# thermal properties
[thermal_conductivity]
type = HeatConductionMaterial
thermal_conductivity = 100
specific_heat = 1
[]
[density]
type = Density
density = 1
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
line_search = none
# we deal with the saddle point structure of the system by adding a small shift
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu nonzero'
end_time = 5
dt = 0.1
[Predictor]
type = SimplePredictor
scale = 1
[]
[]
[Outputs]
exodus = true
print_linear_residuals = false
perf_graph = true
[]
(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/combined/test/tests/inelastic_strain/creep/creep_nl1.i)
#
# Test for effective strain calculation.
# Boundary conditions from NAFEMS test NL1
#
# This is not a verification test. This is the creep analog of the same test
# in the elas_plas directory. Instead of using the IsotropicPlasticity
# material model this test uses the PowerLawCreep material model.
#
[GlobalParams]
temperature = temp
order = FIRST
family = LAGRANGE
volumetric_locking_correction = true
displacements = 'disp_x disp_y'
[]
[Mesh]
file = one_elem2.e
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./temp]
initial_condition = 600.0
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./vonmises]
order = CONSTANT
family = MONOMIAL
[../]
[./pressure]
order = CONSTANT
family = MONOMIAL
[../]
[./elastic_strain_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./elastic_strain_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./elastic_strain_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./creep_strain_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./creep_strain_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./creep_strain_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./tot_strain_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./tot_strain_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./tot_strain_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./eff_creep_strain]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./TensorMechanics]
use_displaced_mesh = true
decomposition_method = EigenSolution
[../]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[../]
[./vonmises]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = vonmises
scalar_type = VonMisesStress
execute_on = timestep_end
[../]
[./pressure]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = pressure
scalar_type = Hydrostatic
execute_on = timestep_end
[../]
[./elastic_strain_xx]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[../]
[./elastic_strain_yy]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[../]
[./elastic_strain_zz]
type = RankTwoAux
rank_two_tensor = elastic_strain
variable = elastic_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[../]
[./creep_strain_xx]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[../]
[./creep_strain_yy]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[../]
[./creep_strain_zz]
type = RankTwoAux
rank_two_tensor = creep_strain
variable = creep_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[../]
[./tot_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = tot_strain_xx
index_i = 0
index_j = 0
[../]
[./tot_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = tot_strain_yy
index_i = 1
index_j = 1
[../]
[./tot_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = tot_strain_zz
index_i = 2
index_j = 2
[../]
[./eff_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = eff_creep_strain
[../]
[]
[Functions]
[./appl_dispy]
type = PiecewiseLinear
x = '0 1.0 2.0'
y = '0.0 0.25e-4 0.50e-4'
[../]
[]
[BCs]
[./side_x]
type = DirichletBC
variable = disp_x
boundary = 101
value = 0.0
[../]
[./origin_x]
type = DirichletBC
variable = disp_x
boundary = 103
value = 0.0
[../]
[./bot_y]
type = DirichletBC
variable = disp_y
boundary = 102
value = 0.0
[../]
[./origin_y]
type = DirichletBC
variable = disp_y
boundary = 103
value = 0.0
[../]
[./top_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 1
function = appl_dispy
[../]
[./temp_fix]
type = DirichletBC
variable = temp
boundary = '1 2'
value = 600.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 250e9
poissons_ratio = 0.25
[../]
[./strain]
type = ComputePlaneFiniteStrain
block = 1
[../]
[./radial_return_stress]
type = ComputeMultipleInelasticStress
block = 1
inelastic_models = 'powerlawcrp'
[../]
[./powerlawcrp]
type = PowerLawCreepStressUpdate
block = 1
coefficient = 3.125e-14
n_exponent = 5.0
m_exponent = 0.0
activation_energy = 0.0
[../]
[./thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 100.
[../]
[./density]
type = Density
block = 1
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
l_tol = 1e-6
l_max_its = 100
nl_max_its = 20
dt = 1.0
start_time = 0.0
num_steps = 100
end_time = 2.0
[]
[Postprocessors]
[./stress_xx]
type = ElementAverageValue
variable = stress_xx
[../]
[./stress_yy]
type = ElementAverageValue
variable = stress_yy
[../]
[./stress_zz]
type = ElementAverageValue
variable = stress_zz
[../]
[./stress_xy]
type = ElementAverageValue
variable = stress_xy
[../]
[./vonmises]
type = ElementAverageValue
variable = vonmises
[../]
[./pressure]
type = ElementAverageValue
variable = pressure
[../]
[./el_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[../]
[./el_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[../]
[./el_strain_zz]
type = ElementAverageValue
variable = elastic_strain_zz
[../]
[./crp_strain_xx]
type = ElementAverageValue
variable = creep_strain_xx
[../]
[./crp_strain_yy]
type = ElementAverageValue
variable = creep_strain_yy
[../]
[./crp_strain_zz]
type = ElementAverageValue
variable = creep_strain_zz
[../]
[./eff_creep_strain]
type = ElementAverageValue
variable = eff_creep_strain
[../]
[./tot_strain_xx]
type = ElementAverageValue
variable = tot_strain_xx
[../]
[./tot_strain_yy]
type = ElementAverageValue
variable = tot_strain_yy
[../]
[./tot_strain_zz]
type = ElementAverageValue
variable = tot_strain_zz
[../]
[./disp_x1]
type = NodalVariableValue
nodeid = 0
variable = disp_x
[../]
[./disp_x4]
type = NodalVariableValue
nodeid = 3
variable = disp_x
[../]
[./disp_y1]
type = NodalVariableValue
nodeid = 0
variable = disp_y
[../]
[./disp_y4]
type = NodalVariableValue
nodeid = 3
variable = disp_y
[../]
[./_dt]
type = TimestepSize
[../]
[]
[Outputs]
exodus = true
[./console]
type = Console
output_linear = true
[../]
[]
(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch_rz.i)
#
# This problem is modified from the Abaqus verification manual:
# "1.5.4 Patch test for axisymmetric elements"
# The original stress solution is given as:
# xx = yy = zz = 2000
# xy = 400
#
# Here, E=1e6 and nu=0.25.
# However, with a +100 degree change in temperature and a coefficient
# of thermal expansion of 1e-6, the solution becomes:
# xx = yy = zz = 1800
# xy = 400
# since
# E*(1-nu)/(1+nu)/(1-2*nu)*(1+2*nu/(1-nu))*(1e-3-1e-4) = 1800
#
# Also,
#
# dSrr dSrz Srr-Stt
# ---- + ---- + ------- + br = 0
# dr dz r
#
# and
#
# dSrz Srz dSzz
# ---- + --- + ---- + bz = 0
# dr r dz
#
# where
# Srr = stress in rr
# Szz = stress in zz
# Stt = stress in theta-theta
# Srz = stress in rz
# br = body force in r direction
# bz = body force in z direction
#
[GlobalParams]
displacements = 'disp_x disp_y'
temperature = temp
volumetric_locking_correction = true
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = elastic_thermal_patch_rz_test.e
[]
[Functions]
[./ur]
type = ParsedFunction
expression = '1e-3*x'
[../]
[./uz]
type = ParsedFunction
expression = '1e-3*(x+y)'
[../]
[./body]
type = ParsedFunction
expression = '-400/x'
[../]
[./temp]
type = ParsedFunction
expression = '117.56+100*t'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./temp]
initial_condition = 117.56
[../]
[]
[Physics/SolidMechanics/QuasiStatic/All]
add_variables = true
strain = SMALL
incremental = true
eigenstrain_names = eigenstrain
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]
[Kernels]
[./body]
type = BodyForce
variable = disp_y
value = 1
function = body
[../]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./ur]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = ur
[../]
[./uz]
type = FunctionDirichletBC
variable = disp_y
boundary = 10
function = uz
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temp
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
lambda = 400000.0
poissons_ratio = 0.25
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-6
stress_free_temperature = 117.56
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeStrainIncrementBasedStress
[../]
[./heat]
type = HeatConductionMaterial
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[./density]
type = Density
density = 0.283
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-12
l_max_its = 20
start_time = 0.0
dt = 1.0
num_steps = 1
end_time = 1.0
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_gap_thermal_contact.i)
[Mesh]
[fmesh]
type = FileMeshGenerator
file = meshed_gap.e
[]
[block0]
type = SubdomainBoundingBoxGenerator
input = fmesh
bottom_left = '.5 -.5 0'
top_right = '.7 .5 0'
block_id = 4
[]
[]
[Variables]
[./temp]
block = '1 3'
initial_condition = 1.0
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
block = '1 3'
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = 1
value = 1
[../]
[./right]
type = DirichletBC
variable = temp
boundary = 4
value = 2
[../]
[]
[ThermalContact]
[./gap_conductivity]
type = GapHeatTransfer
variable = temp
primary = 2
secondary = 3
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 0.5
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = '1 3'
temp = temp
thermal_conductivity = 1
[../]
[]
[Problem]
type = FEProblem
kernel_coverage_check = false
material_coverage_check = false
[]
[Executioner]
type = Steady
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[./out]
type = Exodus
[../]
[]
(modules/heat_transfer/test/tests/radiation_transfer_symmetry/cavity_with_pillars.i)
#
# inner_left: 8
# inner_right: 9
# inner_top: 12
# inner_bottom: 11
# inner_front: 10
# back_2: 7
# obstruction: 6
#
[Mesh]
[cartesian]
type = CartesianMeshGenerator
dim = 3
dx = '0.4 0.5 0.5 0.5 0.5 0.5 0.5 0.4'
dy = '0.5 0.75 0.5'
dz = '1.5 0.5'
subdomain_id = '
3 1 1 1 1 1 1 4
3 1 2 1 1 2 1 4
3 1 1 1 1 1 1 4
3 1 1 1 1 1 1 4
3 1 1 1 1 1 1 4
3 1 1 1 1 1 1 4
'
[]
[add_obstruction]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 1
new_boundary = obstruction
input = cartesian
[]
[add_new_back]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(z) < 1e-10'
included_subdomains = '1'
normal = '0 0 -1'
new_sideset_name = back_2
input = add_obstruction
[]
[add_inner_left]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
new_boundary = inner_left
input = add_new_back
[]
[add_inner_right]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 4
paired_block = 1
new_boundary = inner_right
input = add_inner_left
[]
[add_inner_front]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(z - 2) < 1e-10'
included_subdomains = '1'
normal = '0 0 1'
new_sideset_name = inner_front
input = add_inner_right
[]
[add_inner_bottom]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y) < 1e-10'
included_subdomains = '1'
normal = '0 -1 0'
new_sideset_name = inner_bottom
input = add_inner_front
[]
[add_inner_top]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y - 1.75) < 1e-10'
included_subdomains = '1'
normal = '0 1 0'
new_sideset_name = inner_top
input = add_inner_bottom
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[temperature]
block = '2 3 4'
initial_condition = 300
[]
[]
[Kernels]
[conduction]
type = HeatConduction
variable = temperature
block = '2 3 4'
diffusion_coefficient = 1
[]
[source]
type = BodyForce
variable = temperature
value = 1000
block = '2'
[]
[]
[BCs]
[convective]
type = CoupledConvectiveHeatFluxBC
variable = temperature
T_infinity = 300
htc = 50
boundary = 'left right'
[]
[]
[GrayDiffuseRadiation]
[cavity]
boundary = '6 7 8 9 10 11 12'
emissivity = '1 1 1 1 1 1 1'
n_patches = '1 1 1 1 1 1 1'
adiabatic_boundary = '7 10 11 12'
partitioners = 'metis metis metis metis metis metis metis'
temperature = temperature
ray_tracing_face_order = SECOND
normalize_view_factor = false
[]
[]
[Postprocessors]
[Tpv]
type = PointValue
variable = temperature
point = '0.3 0.5 0.5'
[]
[volume]
type = VolumePostprocessor
[]
[]
[Executioner]
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/moving.i)
[Mesh]
file = nonmatching.e
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[temp]
[]
[]
[AuxVariables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Functions]
[disp_y]
type = ParsedFunction
expression = 0.1*t
[]
[left_temp]
type = ParsedFunction
expression = 1000+t
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[disp_y]
type = FunctionAux
variable = disp_y
function = disp_y
block = left
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[BCs]
[left]
type = FunctionDirichletBC
variable = temp
boundary = leftleft
function = left_temp
[]
[right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[]
[]
[ThermalContact]
[left_to_right]
type = GapHeatTransfer
variable = temp
primary = rightleft
secondary = leftright
emissivity_primary = 0
emissivity_secondary = 0
quadrature = true
[]
[]
[Materials]
[hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
use_displaced_mesh = true
[]
[]
[Postprocessors]
[left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = leftright
diffusivity = thermal_conductivity
[]
[right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = rightleft
diffusivity = thermal_conductivity
[]
[]
[Executioner]
type = Transient
num_steps = 9
dt = 1
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl3D.i)
#
# 3D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 3D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2. In other words, the gap between
# them is 1 radial unit in length.
#
# The conductivity of both cylinders is set very large to achieve a uniform
# temperature in each cylinder. The temperature of the center node of the
# inner cylinder is ramped from 100 to 200 over one time unit. The temperature
# of the outside of the outer, hollow cylinder is held fixed at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer cylinders:
#
# Integrated Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 2 * pi * h * r, where h is the height of the cylinder.
#
# The integrated heat flux across the gap at time 1 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*1*100/(ln(2/1)) = 906.5 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/4 of the cylinders is meshed
# As such, the integrated flux from the post processors is 1/4 of the total,
# or 226.6 watts.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
# -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
file = cyl3D.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[../]
[]
[Variables]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
[../]
[]
[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 = 1000000.0
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 1
quadrature = true
gap_geometry_type = CYLINDER
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 1 0'
[../]
[]
[BCs]
[./mid]
type = FunctionDirichletBC
boundary = 5
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[Executioner]
type = Transient
#Preconditioned JFNK (default)
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
[./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
[../]
[]
(modules/heat_transfer/test/tests/homogenization/heatConduction2D.i)
#
# Homogenization of thermal conductivity according to
# Homogenization of Temperature-Dependent Thermal Conductivity in Composite
# Materials, Journal of Thermophysics and Heat Transfer, Vol. 15, No. 1,
# January-March 2001.
#
# The problem solved here is a simple square with two blocks. The square is
# divided vertically between the blocks. One block has a thermal conductivity
# of 10. The other block's thermal conductivity is 100.
#
# The analytic solution for the homogenized thermal conductivity in the
# horizontal direction is found by summing the thermal resistance, recognizing
# that the blocks are in series:
#
# R = L/A/k = R1 + R2 = L1/A1/k1 + L2/A2/k2 = .5/1/10 + .5/1/100
# Since L = A = 1, k_xx = 18.1818.
#
# The analytic solution for the homogenized thermal conductivity in the vertical
# direction is found by summing reciprocals of resistance, recognizing that
# the blocks are in parallel:
#
# 1/R = k*A/L = 1/R1 + 1/R2 = 10*.5/1 + 100*.5/1
# Since L = A = 1, k_yy = 55.0.
#
[Mesh]
file = heatConduction2D.e
[]
[Variables]
[temp_x]
order = FIRST
family = LAGRANGE
initial_condition = 100
[]
[temp_y]
order = FIRST
family = LAGRANGE
initial_condition = 100
[]
[]
[Kernels]
[heat_x]
type = HeatConduction
variable = temp_x
[]
[heat_y]
type = HeatConduction
variable = temp_y
[]
[heat_rhs_x]
type = HomogenizedHeatConduction
variable = temp_x
component = 0
[]
[heat_rhs_y]
type = HomogenizedHeatConduction
variable = temp_y
component = 1
[]
[]
[BCs]
[Periodic]
[left_right]
primary = 10
secondary = 20
translation = '1 0 0'
[]
[bottom_top]
primary = 30
secondary = 40
translation = '0 1 0'
[]
[]
[fix_center_x]
type = DirichletBC
variable = temp_x
value = 100
boundary = 1
[]
[fix_center_y]
type = DirichletBC
variable = temp_y
value = 100
boundary = 1
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = 1
specific_heat = 0.116
thermal_conductivity = 10
[]
[heat2]
type = HeatConductionMaterial
block = 2
specific_heat = 0.116
thermal_conductivity = 100
[]
[]
[Executioner]
type = Steady
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 101'
line_search = 'none'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-10
l_max_its = 20
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[k_xx]
type = HomogenizedThermalConductivity
chi = 'temp_x temp_y'
row = 0
col = 0
execute_on = 'initial timestep_end'
[]
[k_yy]
type = HomogenizedThermalConductivity
chi = 'temp_x temp_y'
row = 1
col = 1
execute_on = 'initial timestep_end'
[]
[]
(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/second_order.i)
[Mesh]
file = nonmatching.e
second_order = true
[]
[Variables]
[./temp]
order = SECOND
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 1000
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
emissivity_primary = 0
emissivity_secondary = 0
secondary = leftright
quadrature = true
primary = rightleft
variable = temp
type = GapHeatTransfer
order = SECOND
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Postprocessors]
[./left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = leftright
diffusivity = thermal_conductivity
[../]
[./right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = rightleft
diffusivity = thermal_conductivity
[../]
[]
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_quad_template.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 1
xmin = 0.0
xmax = 0.1
ymin = 0.0
ymax = 0.01
elem_type = QUAD4
[]
[Variables]
[./temp]
initial_condition = 0.0
[../]
[]
[BCs]
[./FixedTempLeft]
type = DirichletBC
variable = temp
boundary = left
value = 0.0
[../]
[./FunctionTempRight]
type = FunctionDirichletBC
variable = temp
boundary = right
function = '100.0 * sin(pi*t/40)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./HeatTdot]
type = HeatConductionTimeDerivative
variable = temp
[../]
[]
[Materials]
[./density]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '35.0 440.5 7200.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
l_tol = 1e-5
nl_max_its = 50
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
dt = 1
end_time = 32.0
[]
[Postprocessors]
[./target_temp]
type = NodalVariableValue
variable = temp
nodeid = 9
[../]
[]
[Outputs]
csv = true
[]
(modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_change.i)
# This is a test designed to evaluate the cabability of the
# IterationAdaptiveDT TimeStepper to adjust time step size according to
# a function. For example, if the power input function for a BISON
# simulation rapidly increases or decreases, the IterationAdaptiveDT
# TimeStepper should take time steps small enough to capture the
# oscillation.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
block = 1
[]
[Mesh]
file = 1hex8_10mm_cube.e
[]
[Functions]
[./Fiss_Function]
type = PiecewiseLinear
x = '0 1e6 2e6 2.001e6 2.002e6'
y = '0 3e8 3e8 12e8 0'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 300.0
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
strain = FINITE
volumetric_locking_correction = true
incremental = true
eigenstrain_names = thermal_expansion
decomposition_method = EigenSolution
add_variables = true
generate_output = 'vonmises_stress'
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[./heat_source]
type = HeatSource
variable = temp
value = 1.0
function = Fiss_Function
[../]
[]
[BCs]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 300
[../]
[./top_bottom_disp_x]
type = DirichletBC
variable = disp_x
boundary = '1'
value = 0
[../]
[./top_bottom_disp_y]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0
[../]
[./top_bottom_disp_z]
type = DirichletBC
variable = disp_z
boundary = '1'
value = 0
[../]
[]
[Materials]
[./thermal]
type = HeatConductionMaterial
temp = temp
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 300e6
poissons_ratio = .3
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 5e-6
stress_free_temperature = 300.0
temperature = temp
eigenstrain_name = thermal_expansion
[../]
[./density]
type = Density
density = 10963.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
verbose = true
nl_abs_tol = 1e-10
start_time = 0.0
num_steps = 50000
end_time = 2.002e6
[./TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = Fiss_Function
max_function_change = 3e7
dt = 1e6
[../]
[]
[Postprocessors]
[./Temperature_of_Block]
type = ElementAverageValue
variable = temp
execute_on = 'initial timestep_end'
[../]
[./vonMises]
type = ElementAverageValue
variable = vonmises_stress
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[./console]
type = Console
max_rows = 10
[../]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_mortar.i)
[Mesh]
[file]
type = FileMeshGenerator
file = 2blk-gap.e
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = '101'
new_block_id = '10001'
new_block_name = 'secondary_lower'
input = file
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = '100'
new_block_id = '10000'
new_block_name = 'primary_lower'
input = secondary
[]
[]
[Problem]
kernel_coverage_check = false
material_coverage_check = false
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
block = '1 2'
[../]
[./lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
[../]
[]
[Materials]
[./left]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 1000
specific_heat = 1
[../]
[./right]
type = HeatConductionMaterial
block = 2
thermal_conductivity = 500
specific_heat = 1
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
use_displaced_mesh = false
block = '1 2'
[../]
[]
[Constraints]
[./ced]
type = GapConductanceConstraint
variable = lm
secondary_variable = temp
k = 100
primary_boundary = 100
primary_subdomain = 10000
secondary_boundary = 101
secondary_subdomain = 10001
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = 'left'
value = 1
[../]
[./right]
type = DirichletBC
variable = temp
boundary = 'right'
value = 0
[../]
[]
[Preconditioning]
[./fmp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-11
[]
[Outputs]
exodus = true
[]
(modules/functional_expansion_tools/examples/2D_interface_different_submesh/main.i)
# Derived from the example '2D_interface' with the following differences:
#
# 1) The number of y divisions in the sub app is not the same as the master app
# 2) The subapp mesh is skewed in y
# 3) The Functional Expansion order for the flux term was increased to 7
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0.0
xmax = 0.4
nx = 6
ymin = 0.0
ymax = 10.0
ny = 20
[]
[Variables]
[./m]
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./source_m]
type = BodyForce
variable = m
value = 100
[../]
[]
[Materials]
[./Impervium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '0.00001 50.0 100.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
value = 2
variable = m
[../]
[]
[BCs]
[./interface_value]
type = FXValueBC
variable = m
boundary = right
function = FX_Basis_Value_Main
[../]
[./interface_flux]
type = FXFluxBC
boundary = right
variable = m
function = FX_Basis_Flux_Main
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '4'
physical_bounds = '0.0 10'
y = Legendre
[../]
[./FX_Basis_Flux_Main]
type = FunctionSeries
series_type = Cartesian
orders = '7'
physical_bounds = '0.0 10'
y = Legendre
[../]
[]
[UserObjects]
[./FX_Flux_UserObject_Main]
type = FXBoundaryFluxUserObject
function = FX_Basis_Flux_Main
variable = m
boundary = right
diffusivity = thermal_conductivity
[../]
[]
[Postprocessors]
[./average_interface_value]
type = SideAverageValue
variable = m
boundary = right
[../]
[./total_flux]
type = SideDiffusiveFluxIntegral
variable = m
boundary = right
diffusivity = thermal_conductivity
[../]
[./picard_iterations]
type = NumFixedPointIterations
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 1.0
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
sub_cycling = true
[../]
[]
[Transfers]
[./FluxToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Flux_UserObject_Main
multi_app_object_name = FX_Basis_Flux_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[./FluxToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Flux_Main
multi_app_object_name = FX_Flux_UserObject_Sub
[../]
[]
(modules/combined/test/tests/heat_convection/heat_convection_rz_tf_test.i)
# Test cases for convective boundary conditions. TKLarson, 11/01/11, rev. 0.
# Input file for htc_2dtest0
# TKLarson
# 11/01/11
# Revision 0
#
# Goals of this test are:
# 1) show that the 'fluid' temperature for convective boundary condition
# is behaving as expected/desired
# 2) show that expected results ensue from application of convective boundary conditions
# Convective boundary condition:
# q = h*A*(Tw - Tf)
# where
# q - heat transfer rate (w)
# h - heat transfer coefficient (w/m^2-K)
# A - surface area (m^2)
# Tw - surface temperature (K)
# Tf - fluid temperature adjacent to the surface (K)
# The heat transfer coefficient (h) is input as a variable called 'rate'
# Tf is a two valued function specified by 'initial' and 'final' along with a variable
# called 'duration,' the length of time in seconds that it takes initial to linearly ramp
# to 'final.'
# The mesh for this test case is based on an ASTM standard for the so-called Brazillian Cylinder test
# (ASTM International, Standard Test Method for Splitting Tensile Strength of Cylindrical Concrete
# Specimens, C 496/C 496M-04, 2004) (because I already had a version of the model). While the
# Brazillian Cylinder test is for dynamic tensile testing of concrete, the model works for the present
# purposes. The model is 2-d RZ coordinates.
#
# Brazillian Cylinder sample dimensions:
# L = 20.3 cm, 0.203 m, (8 in)
# r = 5.08 cm, 0.0508 m, (2 in)
# Material properties are:
# density = 2405.28 km/m^3
# specific heat = 826.4 J/kg-K
# thermal conductivity 1.937 w/m-K
# alpha (thermal conductivity/(density*specific heat) is then 9.74e-7 m^2/s
#
# Initial cylinder temperature is room temperature 294.26 K (70 F)
# The initial fluid temperature is room temperature. We will ramp it to 477.6 K (400 F) in 10 minutes.
# We will use a very large h (1000000) to make the surface temperature mimick the fluid temperature.
# What we expect for this problem:
# 1) Use of h = 1000000 should cause the cylinder surface temperature to track the fluid temperature
# 2) The fluid temperature should rise from initial (294.26 K) to final (477.6 K) in 600 s.
# 3) 1) and 2) should prove that the Tf boundary condition is ramping as desired.
# Note, we do the above because there is no way to plot a variable that is not on a mesh node!
[Problem]
coord_type = RZ
[]
[Mesh] # Mesh Start
# 10cm x 20cm cylinder not so detailed mesh, 2 radial, 6 axial nodes
# Only one block (Block 1), all concrete
# Sideset 1 - top of cylinder, Sideset 2 - length of cylinder, Sideset 3 - bottom of cylinder
file = heat_convection_rz_mesh.e
[] # Mesh END
[Variables] # Variables Start
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 294.26 # Initial cylinder temperature
[../]
[] # Variables END
[Kernels] # Kernels Start
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[] # Kernels END
[BCs] # Boundary Conditions Start
# Heat transfer coefficient on outer cylinder radius and ends
[./convective_clad_surface] # Convective Start
type = ConvectiveFluxBC # Convective flux, e.g. q'' = h*(Tw - Tf)
boundary = '1 2 3' # BC applied on top, along length, and bottom
variable = temp
rate = 1000000. # convective heat transfer coefficient (w/m^2-K)[176000 "]
# # the above h is ~ infinity for present purposes
initial = 294.26 # initial ambient (lab or oven) temperature (K)
final = 477.6 # final ambient (lab or oven) temperature (K)
duration = 600. # length of time in seconds that it takes the ambient
# temperature to ramp from initial to final
[../] # Convective End
[] # BCs END
[Materials] # Materials Start
[./thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 826.4
thermal_conductivity = 1.937 # this makes alpha 9.74e-7 m^2/s
[../]
[./density]
type = Density
block = 1
density = 2405.28
[../]
[] # Materials END
[Executioner] # Executioner Start
type = Transient
# type = Steady
#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 = 60.
num_steps = 20 # Total run time 1200 s
[] # Executioner END
[Outputs] # Output Start
# Output Start
file_base = out_rz_tf
exodus = true
[] # Output END
# # Input file END
(modules/combined/test/tests/gap_heat_transfer_convex/gap_heat_transfer_convex_gap_offsets.i)
#The two blocks were moved apart by the value of 0.005 in the y-direction, respectively.
#This value was compensated by the gap offsets from both secondary and primary sides
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
temperature = temp
[]
[Mesh]
file = gap_heat_transfer_convex_gap_offsets.e
[]
[Functions]
[./disp]
type = PiecewiseLinear
x = '0 2.0'
y = '0 1.0'
[../]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '200 200'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./primary_gap_offset]
[../]
[./secondary_gap_offset]
[../]
[./mapped_primary_gap_offset]
[../]
[]
[AuxKernels]
[./primary_gap_offset]
type = ConstantAux
variable = primary_gap_offset
value = -0.005
boundary = 2
[../]
[./mapped_primary_gap_offset]
type = GapValueAux
variable = mapped_primary_gap_offset
paired_variable = primary_gap_offset
boundary = 3
paired_boundary = 2
[../]
[./secondary_gap_offset]
type = ConstantAux
variable = secondary_gap_offset
value = -0.005
boundary = 3
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 2
secondary = 3
emissivity_primary = 0
emissivity_secondary = 0
secondary_gap_offset = secondary_gap_offset
mapped_primary_gap_offset = mapped_primary_gap_offset
[../]
[]
[Physics/SolidMechanics/QuasiStatic/All]
volumetric_locking_correction = true
strain = FINITE
eigenstrain_names = eigenstrain
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./move_right]
type = FunctionDirichletBC
boundary = '3'
variable = disp_x
function = disp
[../]
[./fixed_x]
type = DirichletBC
boundary = '1'
variable = disp_x
value = 0
[../]
[./fixed_y]
type = DirichletBC
boundary = '1 2 3 4'
variable = disp_y
value = 0
[../]
[./fixed_z]
type = DirichletBC
boundary = '1 2 3 4'
variable = disp_z
value = 0
[../]
[./temp_bottom]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_top]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = '1 2'
youngs_modulus = 1e6
poissons_ratio = 0.3
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 100
thermal_expansion_coeff = 0
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./heat1]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./heat2]
type = HeatConductionMaterial
block = 2
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
block = '1 2'
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
dt = 0.1
end_time = 2.0
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action_external_boundary_ray_tracing.i)
[Problem]
kernel_coverage_check = false
[]
[Mesh]
[cmg]
type = CartesianMeshGenerator
dim = 2
dx = '1 1.3 1.9'
ix = '3 3 3'
dy = '6'
iy = '9'
subdomain_id = '0 1 2'
[]
[inner_left]
type = SideSetsBetweenSubdomainsGenerator
input = cmg
primary_block = 0
paired_block = 1
new_boundary = 'inner_left'
[]
[inner_right]
type = SideSetsBetweenSubdomainsGenerator
input = inner_left
primary_block = 2
paired_block = 1
new_boundary = 'inner_right'
[]
[inner_top]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y - 6) < 1e-10'
normal = '0 1 0'
included_subdomains = 1
new_sideset_name = 'inner_top'
input = 'inner_right'
[]
[inner_bottom]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y) < 1e-10'
normal = '0 -1 0'
included_subdomains = 1
new_sideset_name = 'inner_bottom'
input = 'inner_top'
[]
[rename]
type = RenameBlockGenerator
old_block = '2'
new_block = '0'
input = inner_bottom
[]
[]
[Variables]
[temperature]
block = 0
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temperature
block = 0
diffusion_coefficient = 5
[]
[]
[GrayDiffuseRadiation]
[cavity]
boundary = '4 5 6 7'
emissivity = '0.9 0.8 0.4 1'
n_patches = '2 2 2 3'
partitioners = 'centroid centroid centroid centroid'
centroid_partitioner_directions = 'x y y x'
temperature = temperature
adiabatic_boundary = '7'
fixed_temperature_boundary = '6'
fixed_boundary_temperatures = '800'
view_factor_calculator = ray_tracing
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temperature
boundary = left
value = 1000
[]
[right]
type = DirichletBC
variable = temperature
boundary = right
value = 300
[]
[]
[Postprocessors]
[average_T_inner_right]
type = SideAverageValue
variable = temperature
boundary = inner_right
[]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_annulus_thermal_contact.i)
[Mesh]
[fmesh]
type = FileMeshGenerator
file = meshed_annulus.e
[]
[rename]
type = RenameBlockGenerator
input = fmesh
old_block = '1 2 3'
new_block = '1 4 3'
[]
[]
[Variables]
[./temp]
block = '1 3'
initial_condition = 1.0
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
block = '1 3'
[../]
[./source]
type = HeatSource
variable = temp
block = 3
value = 10.0
[../]
[]
[BCs]
[./outside]
type = DirichletBC
variable = temp
boundary = 1
value = 1.0
[../]
[]
[ThermalContact]
[./gap_conductivity]
type = GapHeatTransfer
variable = temp
primary = 2
secondary = 3
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 0.5
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = '1 3'
temp = temp
thermal_conductivity = 1
[../]
[]
[Problem]
type = FEProblem
kernel_coverage_check = false
material_coverage_check = false
[]
[Executioner]
type = Steady
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[./out]
type = Exodus
[../]
[]
(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/nonmatching.i)
[Mesh]
file = nonmatching.e
[]
[Variables]
[./temp]
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 1000
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
emissivity_primary = 0
emissivity_secondary = 0
secondary = leftright
quadrature = true
primary = rightleft
variable = temp
type = GapHeatTransfer
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[./gap_conductance]
type = GenericConstantMaterial
prop_names = 'gap_conductance gap_conductance_dT'
boundary = 'leftright rightleft'
prop_values = '1 0'
[../]
[]
[Postprocessors]
[./left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = leftright
diffusivity = thermal_conductivity
[../]
[./right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = rightleft
diffusivity = thermal_conductivity
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/thermal_strain/thermal_strain.i)
# Patch Test
# This test is designed to compute displacements from a thermal strain.
# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
# The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
# zx). This gives a uniform strain/stress state for all six unique
# tensor components.
# The temperature moves 100 degrees, and the coefficient of thermal
# expansion is 1e-6. Therefore, the strain (and the displacement
# since this is a unit cube) is 1e-4.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
file = thermal_strain_test.e
[]
[Functions]
[./tempFunc]
type = PiecewiseLinear
x = '0. 1.'
y = '117.56 217.56'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 117.56
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
strain = SMALL
incremental = true
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
temperature = temp
[./block1]
eigenstrain_names = eigenstrain1
block = 1
[../]
[./block2]
eigenstrain_names = eigenstrain2
block = 2
[../]
[./block3]
eigenstrain_names = eigenstrain3
block = 3
[../]
[./block4]
eigenstrain_names = eigenstrain4
block = 4
[../]
[./block5]
eigenstrain_names = eigenstrain5
block = 5
[../]
[./block6]
eigenstrain_names = eigenstrain6
block = 6
[../]
[./block7]
eigenstrain_names = eigenstrain7
block = 7
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./no_x]
type = DirichletBC
variable = disp_x
boundary = 10
value = 0.0
[../]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = 9
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = 14
value = 0
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
boundary = '10 12'
function = tempFunc
[../]
[]
[Materials]
[./elasticity_tensor1]
type = ComputeIsotropicElasticityTensor
block = 1
bulk_modulus = 0.333333333333e6
poissons_ratio = 0.0
[../]
[./thermal_strain1]
type = ComputeThermalExpansionEigenstrain
block = 1
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain1
[../]
[./stress1]
type = ComputeStrainIncrementBasedStress
block = 1
[../]
[./elasticity_tensor2]
type = ComputeIsotropicElasticityTensor
block = 2
bulk_modulus = 0.333333333333e6
lambda = 0.0
[../]
[./thermal_strain2]
type = ComputeThermalExpansionEigenstrain
block = 2
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain2
[../]
[./stress2]
type = ComputeStrainIncrementBasedStress
block = 2
[../]
[./elasticity_tensor3]
type = ComputeIsotropicElasticityTensor
block = 3
youngs_modulus = 1e6
poissons_ratio = 0.0
[../]
[./thermal_strain3]
type = ComputeThermalExpansionEigenstrain
block = 3
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain3
[../]
[./stress3]
type = ComputeStrainIncrementBasedStress
block = 3
[../]
[./elasticity_tensor4]
type = ComputeIsotropicElasticityTensor
block = 4
youngs_modulus = 1e6
poissons_ratio = 0.0
[../]
[./thermal_strain4]
type = ComputeThermalExpansionEigenstrain
block = 4
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain4
[../]
[./stress4]
type = ComputeStrainIncrementBasedStress
block = 4
[../]
[./elasticity_tensor5]
type = ComputeIsotropicElasticityTensor
block = 5
youngs_modulus = 1e6
lambda = 0.0
[../]
[./thermal_strain5]
type = ComputeThermalExpansionEigenstrain
block = 5
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain5
[../]
[./stress5]
type = ComputeStrainIncrementBasedStress
block = 5
[../]
[./elasticity_tensor6]
type = ComputeIsotropicElasticityTensor
block = 6
youngs_modulus = 1e6
shear_modulus = 5e5
[../]
[./thermal_strain6]
type = ComputeThermalExpansionEigenstrain
block = 6
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain6
[../]
[./stress6]
type = ComputeStrainIncrementBasedStress
block = 6
[../]
[./elasticity_tensor7]
type = ComputeIsotropicElasticityTensor
block = 7
shear_modulus = 5e5
poissons_ratio = 0.0
[../]
[./thermal_strain7]
type = ComputeThermalExpansionEigenstrain
block = 7
temperature = temp
stress_free_temperature = 117.56
thermal_expansion_coeff = 1e-6
eigenstrain_name = eigenstrain7
[../]
[./stress7]
type = ComputeStrainIncrementBasedStress
block = 7
[../]
[./heat]
type = HeatConductionMaterial
block = '1 2 3 4 5 6 7'
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
block = '1 2 3 4 5 6 7'
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_abs_tol = 1e-10
l_max_its = 20
start_time = 0.0
dt = 0.5
num_steps = 2
end_time = 1.0
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/optimization/thermal_sensitivity/2d_root.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-4
power = 1
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 20
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[]
[Variables]
[T]
initial_condition = 100
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[Kernels]
[heat]
type = HeatConduction
diffusion_coefficient = k
variable = T
[]
[heat_source]
type = HeatSource
function = 1e-2
variable = T
[]
[]
[DiracKernels]
[src]
type = ConstantPointSource
variable = T
point = '0 5 0'
value = 10
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = T
boundary = 'right top bottom'
value = 0.0
[]
[]
[Materials]
[k]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = k
[]
[dc]
type = ThermalSensitivity
temperature = T
design_density = mat_den
thermal_conductivity = k
[]
#only needed for objective function output in postprocessor
[thermal_compliance]
type = ThermalCompliance
temperature = T
thermal_conductivity = k
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 3
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdate
density_sensitivity = Dc
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-8
dt = 1.0
dtmin = 1.0
num_steps = 20
[]
[Outputs]
[out]
type = CSV
execute_on = 'FINAL'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = thermal_sensitivity
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/heat_transfer/tutorials/introduction/therm_step03.i)
#
# Single block thermal input with time derivative term
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step03.html
#
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[]
[Variables]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[time_derivative]
type = HeatConductionTimeDerivative
variable = T
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
specific_heat = 0.5
[]
[density]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = 8000.0
[]
[]
[BCs]
[t_left]
type = DirichletBC
variable = T
value = 300
boundary = 'left'
[]
[t_right]
type = FunctionDirichletBC
variable = T
function = '300+5*t'
boundary = 'right'
[]
[]
[Executioner]
type = Transient
end_time = 5
dt = 1
[]
[VectorPostprocessors]
[t_sampler]
type = LineValueSampler
variable = T
start_point = '0 0.5 0'
end_point = '2 0.5 0'
num_points = 20
sort_by = x
[]
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = therm_step03_out
execute_on = final
[]
[]
(modules/functional_expansion_tools/examples/3D_volumetric_Cartesian_direct/main.i)
# Derived from the example '3D_volumetric_Cartesian' with the following differences:
#
# 1) The coupling is performed via BodyForce instead of the
# FunctionSeriesToAux+CoupledForce approach
[Mesh]
type = GeneratedMesh
dim = 3
xmin = 0.0
xmax = 10.0
nx = 15
ymin = 1.0
ymax = 11.0
ny = 25
zmin = 2.0
zmax = 12.0
nz = 35
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = BodyForce
variable = m
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'top bottom left right front back'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '3 4 5'
physical_bounds = '0.0 10.0 1.0 11.0 2.0 12.0'
x = Legendre
y = Legendre
z = Legendre
enable_cache = true
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/sphere3D.i)
#
# 3D Spherical Gap Heat Transfer Test.
#
# This test exercises 3D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid sphere of radius = 1 unit, and outer
# hollow sphere with an inner radius of 2. In other words, the gap between
# them is 1 radial unit in length.
#
# The conductivity of both spheres is set very large to achieve a uniform
# temperature in each sphere. The temperature of the center node of the
# inner sphere is ramped from 100 to 200 over one time unit. The
# temperature of the outside of the outer, hollow sphere is held fixed
# at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer spheres:
#
# Integrated Flux = (T_left - T_right) * (gapK/(r^2*((1/r1)-(1/r2)))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 4 * pi * 1^2 (4*pi*r^2)
#
# The integrated heat flux across the gap at time 1 is then:
#
# 4*pi*k*delta_T/((1/r1)-(1/r2))
# 4*pi*1*100/((1/1) - (1/2)) = 2513.3 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/8 of the spheres is meshed
# As such, the integrated flux from the post processors is 1/8 of the total,
# or 314.159 watts... i.e. 100*pi.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
# -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
file = sphere3D.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[../]
[]
[Variables]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
[../]
[]
[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 = 100000000.0
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 1
quadrature = true
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[../]
[]
[BCs]
[./mid]
type = FunctionDirichletBC
boundary = 5
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[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
[./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
[../]
[]
(modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_change_restart2.i)
# This is a test designed to evaluate the cabability of the
# IterationAdaptiveDT TimeStepper to adjust time step size according to
# a function. For example, if the power input function for a BISON
# simulation rapidly increases or decreases, the IterationAdaptiveDT
# TimeStepper should take time steps small enough to capture the
# oscillation.
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
order = FIRST
family = LAGRANGE
block = 1
[]
[Mesh]
file = 1hex8_10mm_cube.e
[]
[Functions]
[./Fiss_Function]
type = PiecewiseLinear
x = '0 1e6 2e6 2.001e6 2.002e6'
y = '0 3e8 3e8 12e8 0'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
strain = FINITE
volumetric_locking_correction = true
incremental = true
eigenstrain_names = thermal_expansion
decomposition_method = EigenSolution
add_variables = true
generate_output = 'vonmises_stress'
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[./heat_source]
type = HeatSource
variable = temp
value = 1.0
function = Fiss_Function
[../]
[]
[BCs]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 300
[../]
[./top_bottom_disp_x]
type = DirichletBC
variable = disp_x
boundary = '1'
value = 0
[../]
[./top_bottom_disp_y]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0
[../]
[./top_bottom_disp_z]
type = DirichletBC
variable = disp_z
boundary = '1'
value = 0
[../]
[]
[Materials]
[./thermal]
type = HeatConductionMaterial
temp = temp
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 300e6
poissons_ratio = .3
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 5e-6
stress_free_temperature = 300.0
temperature = temp
eigenstrain_name = thermal_expansion
[../]
[./density]
type = Density
density = 10963.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
verbose = true
nl_abs_tol = 1e-10
num_steps = 50000
end_time = 2.002e6
[./TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = Fiss_Function
max_function_change = 3e7
dt = 1e6
[../]
[]
[Postprocessors]
[./Temperature_of_Block]
type = ElementAverageValue
variable = temp
execute_on = 'timestep_end'
[../]
[./vonMises]
type = ElementAverageValue
variable = vonmises_stress
execute_on = 'timestep_end'
[../]
[]
[Outputs]
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[./console]
type = Console
max_rows = 10
[../]
[]
[Problem]
restart_file_base = adapt_tstep_function_change_restart1_checkpoint_cp/0065
[]
(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_htonly/sphere2DRZ.i)
#
# 2DRZ Spherical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid sphere of radius = 1 unit, and outer
# hollow sphere with an inner radius of 2. In other words, the gap between
# them is 1 radial unit in length.
#
# The conductivity of both spheres is set very large to achieve a uniform
# temperature in each sphere. The temperature of the center node of the
# inner sphere is ramped from 100 to 200 over one time unit. The
# temperature of the outside of the outer, hollow sphere is held fixed
# at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer spheres:
#
# Integrated Flux = (T_left - T_right) * (gapK/(r^2*((1/r1)-(1/r2)))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 4 * pi * 1^2 (4*pi*r^2)
#
# The integrated heat flux across the gap at time 1 is then:
#
# 4*pi*k*delta_T/((1/r1)-(1/r2))
# 4*pi*1*100/((1/1) - (1/2)) = 2513.3 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/2 of the spheres is meshed
# As such, the integrated flux from the post processors is 1/2 of the total,
# or 1256.6 watts... i.e. 400*pi.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
# -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = cyl2D.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[../]
[]
[Variables]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
[../]
[]
[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 = 1000000.0
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 1
quadrature = true
gap_geometry_type = SPHERE
sphere_origin = '0 0 0'
[../]
[]
[BCs]
[./mid]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[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
[./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
[../]
[]
(modules/heat_transfer/test/tests/heat_source_bar/heat_source_bar.i)
# This is a simple 1D test of the volumetric heat source with material properties
# of a representative ceramic material. A bar is uniformly heated, and a temperature
# boundary condition is applied to the left side of the bar.
# Important properties of problem:
# Length: 0.01 m
# Thermal conductivity = 3.0 W/(mK)
# Specific heat = 300.0 J/K
# density = 10431.0 kg/m^3
# Prescribed temperature on left side: 600 K
# When it has reached steady state, the temperature as a function of position is:
# T = -q/(2*k) (x^2 - 2*x*length) + 600
# or
# T = -6.3333e+7 * (x^2 - 0.02*x) + 600
# on left side: T=600, on right side, T=6933.3
[Mesh]
type = GeneratedMesh
dim = 1
xmax = 0.01
nx = 20
[]
[Variables]
[./temp]
initial_condition = 300.0
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heatsource]
type = HeatSource
function = volumetric_heat
variable = temp
[../]
[]
[BCs]
[./lefttemp]
type = DirichletBC
boundary = left
variable = temp
value = 600
[../]
[]
[Materials]
[./density]
type = GenericConstantMaterial
prop_names = 'density thermal_conductivity'
prop_values = '10431.0 3.0'
[../]
[]
[Functions]
[./volumetric_heat]
type = ParsedFunction
expression = 3.8e+8
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./right]
type = SideAverageValue
variable = temp
boundary = right
[../]
[./error]
type = NodalL2Error
function = '-3.8e+8/(2*3) * (x^2 - 2*x*0.01) + 600'
variable = temp
[../]
[]
[Outputs]
execute_on = FINAL
exodus = true
[]
(modules/functional_expansion_tools/examples/2D_interface/main.i)
# Basic example coupling a master and sub app at an interface in a 2D model.
# The master app provides a flux term to the sub app via Functional Expansions, which then performs
# its calculations. The sub app's interface conditions, both value and flux, are transferred back
# to the master app
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0.0
xmax = 0.4
nx = 6
ymin = 0.0
ymax = 10.0
ny = 20
[]
[Variables]
[./m]
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./source_m]
type = BodyForce
variable = m
value = 100
[../]
[]
[Materials]
[./Impervium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '0.00001 50.0 100.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
value = 2
variable = m
[../]
[]
[BCs]
[./interface_value]
type = FXValueBC
variable = m
boundary = right
function = FX_Basis_Value_Main
[../]
[./interface_flux]
type = FXFluxBC
boundary = right
variable = m
function = FX_Basis_Flux_Main
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '4'
physical_bounds = '0.0 10'
y = Legendre
[../]
[./FX_Basis_Flux_Main]
type = FunctionSeries
series_type = Cartesian
orders = '5'
physical_bounds = '0.0 10'
y = Legendre
[../]
[]
[UserObjects]
[./FX_Flux_UserObject_Main]
type = FXBoundaryFluxUserObject
function = FX_Basis_Flux_Main
variable = m
boundary = right
diffusivity = thermal_conductivity
[../]
[]
[Postprocessors]
[./average_interface_value]
type = SideAverageValue
variable = m
boundary = right
[../]
[./total_flux]
type = SideDiffusiveFluxIntegral
variable = m
boundary = right
diffusivity = thermal_conductivity
[../]
[./picard_iterations]
type = NumFixedPointIterations
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 1.0
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
sub_cycling = true
[../]
[]
[Transfers]
[./FluxToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Flux_UserObject_Main
multi_app_object_name = FX_Basis_Flux_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[./FluxToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Flux_Main
multi_app_object_name = FX_Flux_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/nonmatching.i)
[Mesh]
file = nonmatching.e
[]
[Variables]
[./temp]
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 1000
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
variable = temp
emissivity_primary = 0
emissivity_secondary = 0
type = GapHeatTransfer
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Postprocessors]
[./left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = leftright
diffusivity = thermal_conductivity
[../]
[./right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = rightleft
diffusivity = thermal_conductivity
[../]
[]
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/functional_expansion_tools/examples/1D_volumetric_Cartesian/main.i)
# Basic example coupling a master and sub app in a 1D Cartesian volume.
#
# The master app provides field values to the sub app via Functional Expansions, which then performs
# its calculations. The sub app's solution field values are then transferred back to the master app
# and coupled into the solution of the master app solution.
#
# This example couples Functional Expansions via AuxVariable.
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0.0
xmax = 10.0
nx = 15
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./s_in]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = CoupledForce
variable = m
v = s_in
[../]
[]
[AuxKernels]
[./reconstruct_s_in]
type = FunctionSeriesToAux
variable = s_in
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'left right'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = Cartesian
orders = '3'
physical_bounds = '0.0 10.0'
x = Legendre
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/truss_heat_conduction/strip.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 1
xmax = 0.5
xmin = -0.5
ymin = -0.05
ymax = 0.05
[]
[left_line]
type = SubdomainBoundingBoxGenerator
input = gmg
bottom_left = '-0.5 0 0'
top_right = '0 0 0'
block_id = 1
block_name = 'left_strip'
location = INSIDE
[]
[right_line]
type = SubdomainBoundingBoxGenerator
input = left_line
bottom_left = '0 0 0'
top_right = '0.5 0 0'
block_id = 2
block_name = 'right_strip'
location = INSIDE
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time_derivative]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_conduction]
type = HeatConduction
variable = temperature
[]
[]
[Materials]
[left_strip]
type = GenericConstantMaterial
block = 'left_strip'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '0.1 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[right_strip]
type = GenericConstantMaterial
block = 'right_strip'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '5.0e-3 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[]
[BCs]
[right]
type = FunctionDirichletBC
variable = temperature
boundary = 'right'
function = '10*t'
[]
[]
[VectorPostprocessors]
[center]
type = LineValueSampler
start_point = '-0.5 0 0'
end_point = '0.5 0 0'
num_points = 40
variable = 'temperature'
sort_by = id
[]
[]
[Executioner]
type = Transient
start_time = 0
dt = 1
end_time = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = 'csv/strip'
time_data = true
[]
[]
(modules/combined/examples/xfem/xfem_thermomechanics_stress_growth.i)
# This is a demonstration of a simple thermomechanics simulation using
# XFEM in which a single crack propagates based on a principal stress
# criterion.
#
# The top and bottom of the plate are fixed in the y direction, and the
# top of the plate is cooled down over time. The thermal contraction
# causes tensile stresses, which lead to crack propagation. The crack
# propagates in a curved path because of the changinging nature of
# the thermal gradient as a result of the crack. There is no heat
# conduction across the crack as soon as it forms.
[GlobalParams]
displacements = 'disp_x disp_y'
volumetric_locking_correction = true
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 11
ny = 11
xmin = 0.0
xmax = 1.0
ymin = 0.0
ymax = 1.0
elem_type = QUAD4
[]
[Variables]
# Solve for the temperature and the displacements
# Displacements are not specified because the TensorMechanics/Master Action sets them up
[./temp]
initial_condition = 300
[../]
[]
[XFEM]
geometric_cut_userobjects = 'line_seg_cut_uo'
qrule = volfrac
output_cut_plane = true
[]
[UserObjects]
[./line_seg_cut_uo]
type = LineSegmentCutUserObject
cut_data = '1.0 0.5 0.8 0.5'
time_start_cut = 0.0
time_end_cut = 0.0
[../]
[./xfem_marker_uo]
type = XFEMRankTwoTensorMarkerUserObject
execute_on = timestep_end
tensor = stress
scalar_type = MaxPrincipal
threshold = 5e+1
average = true
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
strain = FINITE
planar_formulation = plane_strain
add_variables = true
eigenstrain_names = eigenstrain
[../]
[]
[Kernels]
[./htcond]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./bottomx]
type = DirichletBC
boundary = bottom
variable = disp_x
value = 0.0
[../]
[./bottomy]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0.0
[../]
[./topx]
type = DirichletBC
boundary = top
variable = disp_x
value = 0.0
[../]
[./topy]
type = DirichletBC
boundary = top
variable = disp_y
value = 0.0
[../]
[./topt]
type = FunctionDirichletBC
boundary = top
variable = temp
function = 273-t*27.3
[../]
[./bott]
type = FunctionDirichletBC
boundary = bottom
variable = temp
function = 273
# value = 273.0
[../]
[]
[Materials]
[./thcond]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '5e-6'
[../]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e6
poissons_ratio = 0.3
[../]
[./_elastic_strain]
type = ComputeFiniteStrainElasticStress
[../]
[./thermal_strain]
type= ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 10e-6
temperature = temp
stress_free_temperature = 273
eigenstrain_name = eigenstrain
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 8'
line_search = 'none'
[./Predictor]
type = SimplePredictor
scale = 1.0
[../]
# controls for linear iterations
l_max_its = 100
l_tol = 1e-2
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-14
nl_abs_tol = 1e-9
# time control
start_time = 0.0
dt = 1.0
end_time = 10.0
max_xfem_update = 5
[]
[Outputs]
exodus = true
execute_on = timestep_end
[./console]
type = Console
output_linear = true
[../]
[]
(modules/heat_transfer/test/tests/multiple_contact_pairs/multiple_contact_pairs.i)
[Mesh]
file = 3blk.e
[]
[Functions]
[temperature]
type = PiecewiseLinear
x = '0 1 2'
y = '100 300 300'
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temperature
primary = '101 201'
secondary = '100 200'
emissivity_primary = 0
emissivity_secondary = 0
gap_conductance = 1.0e9
[]
[]
[Variables]
[temperature]
order = FIRST
family = LAGRANGE
initial_condition = 100
[]
[]
[AuxVariables]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[]
[BCs]
[temp_far_left]
type = FunctionDirichletBC
boundary = '101 201'
variable = temperature
function = temperature
[]
[temp_far_right]
type = DirichletBC
boundary = 'left right'
variable = temperature
value = 100
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 100
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2 3'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[]
[density]
type = GenericConstantMaterial
block = '1 2 3'
prop_names = 'density'
prop_values = '1.0'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-8
l_tol = 1e-3
l_max_its = 100
dt = 1e-1
end_time = 1.0
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 100
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_right]
type = SideAverageValue
boundary = 200
variable = temperature
execute_on = 'initial timestep_end'
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 100
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 200
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/combined/test/tests/nodal_patch_recovery/npr_with_lower_domains.i)
E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
[Mesh]
patch_size = 80
patch_update_strategy = auto
[plank]
type = GeneratedMeshGenerator
dim = 2
xmin = -0.3
xmax = 0.3
ymin = -10
ymax = 10
nx = 2
ny = 67
elem_type = ${elem}
boundary_name_prefix = plank
[]
[plank_id]
type = SubdomainIDGenerator
input = plank
subdomain_id = 1
[]
[block]
type = GeneratedMeshGenerator
dim = 2
xmin = 0.31
xmax = 0.91
ymin = 7.7
ymax = 8.5
nx = 3
ny = 4
elem_type = ${elem}
boundary_name_prefix = block
boundary_id_offset = 10
[]
[block_id]
type = SubdomainIDGenerator
input = block
subdomain_id = 2
[]
[combined]
type = MeshCollectionGenerator
inputs = 'plank_id block_id'
[]
[block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'plank block'
[]
[secondary]
input = block_rename
type = LowerDBlockFromSidesetGenerator
sidesets = 'block_left'
new_block_id = '30'
new_block_name = 'frictionless_secondary_subdomain'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'plank_right'
new_block_id = '20'
new_block_name = 'frictionless_primary_subdomain'
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
order = ${order}
block = 'plank block'
scaling = '${fparse 2.0 / (E_plank + E_block)}'
[]
[disp_y]
order = ${order}
block = 'plank block'
scaling = '${fparse 2.0 / (E_plank + E_block)}'
[]
[temp]
order = ${order}
block = 'plank block'
scaling = 1e-1
[]
[thermal_lm]
order = ${order}
block = 'frictionless_secondary_subdomain'
scaling = 1e-7
[]
[frictionless_normal_lm]
order = ${order}
block = 'frictionless_secondary_subdomain'
use_dual = true
[]
[]
[AuxVariables]
[stress_xx]
order = FIRST
family = MONOMIAL
block = 'plank block'
[]
[stress_yy]
order = FIRST
family = MONOMIAL
block = 'plank block'
[]
[stress_xx_recovered]
order = FIRST
family = LAGRANGE
block = 'plank block'
[]
[stress_yy_recovered]
order = FIRST
family = LAGRANGE
block = 'plank block'
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = 'timestep_end'
block = 'plank block'
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = 'timestep_end'
block = 'plank block'
[]
[stress_xx_recovered]
type = NodalPatchRecoveryAux
variable = stress_xx_recovered
nodal_patch_recovery_uo = stress_xx_patch
execute_on = 'TIMESTEP_END'
block = 'plank block'
[]
[stress_yy_recovered]
type = NodalPatchRecoveryAux
variable = stress_yy_recovered
nodal_patch_recovery_uo = stress_yy_patch
execute_on = 'TIMESTEP_END'
block = 'plank block'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[action]
generate_output = 'stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
block = 'plank block'
use_automatic_differentiation = false
strain = FINITE
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temp
use_displaced_mesh = true
block = 'plank block'
[]
[]
[UserObjects]
[weighted_gap_uo]
type = LMWeightedGapUserObject
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
lm_variable = frictionless_normal_lm
disp_x = disp_x
disp_y = disp_y
[]
[stress_xx_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '0 0'
execute_on = 'NONLINEAR TIMESTEP_END'
block = 'plank block'
[]
[stress_yy_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '1 1'
execute_on = 'NONLINEAR TIMESTEP_END'
block = 'plank block'
[]
[]
[Constraints]
[weighted_gap_lm]
type = ComputeWeightedGapLMMechanicalContact
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
variable = frictionless_normal_lm
disp_x = disp_x
disp_y = disp_y
use_displaced_mesh = true
weighted_gap_uo = weighted_gap_uo
[]
[normal_x]
type = NormalMortarMechanicalContact
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
variable = frictionless_normal_lm
secondary_variable = disp_x
component = x
use_displaced_mesh = true
compute_lm_residuals = false
weighted_gap_uo = weighted_gap_uo
[]
[normal_y]
type = NormalMortarMechanicalContact
primary_boundary = plank_right
secondary_boundary = block_left
primary_subdomain = frictionless_primary_subdomain
secondary_subdomain = frictionless_secondary_subdomain
variable = frictionless_normal_lm
secondary_variable = disp_y
component = y
use_displaced_mesh = true
compute_lm_residuals = false
weighted_gap_uo = weighted_gap_uo
[]
[thermal_contact]
type = GapConductanceConstraint
variable = thermal_lm
secondary_variable = temp
k = 1
use_displaced_mesh = true
primary_boundary = plank_right
primary_subdomain = frictionless_primary_subdomain
secondary_boundary = block_left
secondary_subdomain = frictionless_secondary_subdomain
displacements = 'disp_x disp_y'
[]
[]
[BCs]
[left_temp]
type = DirichletBC
variable = temp
boundary = 'plank_left'
value = 400
[]
[right_temp]
type = DirichletBC
variable = temp
boundary = 'block_right'
value = 300
[]
[left_x]
type = DirichletBC
variable = disp_x
boundary = plank_left
value = 0.0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = plank_bottom
value = 0.0
[]
[right_x]
type = FunctionDirichletBC
variable = disp_x
boundary = block_right
function = '-0.04*sin(4*(t+1.5))+0.02'
preset = false
[]
[right_y]
type = FunctionDirichletBC
variable = disp_y
boundary = block_right
function = '-t'
preset = false
[]
[]
[Materials]
[plank]
type = ComputeIsotropicElasticityTensor
block = 'plank'
poissons_ratio = 0.3
youngs_modulus = ${E_plank}
[]
[block]
type = ComputeIsotropicElasticityTensor
block = 'block'
poissons_ratio = 0.3
youngs_modulus = ${E_block}
[]
[stress]
type = ComputeFiniteStrainElasticStress
block = 'plank block'
[]
[heat_plank]
type = HeatConductionMaterial
block = plank
thermal_conductivity = 2
specific_heat = 1
[]
[heat_block]
type = HeatConductionMaterial
block = block
thermal_conductivity = 1
specific_heat = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
petsc_options_value = 'lu NONZERO 1e-15 20'
end_time = 0.4
dt = 0.1
dtmin = 0.1
timestep_tolerance = 1e-6
line_search = 'none'
[]
[Postprocessors]
[nl_its]
type = NumNonlinearIterations
[]
[total_nl_its]
type = CumulativeValuePostprocessor
postprocessor = nl_its
[]
[l_its]
type = NumLinearIterations
[]
[total_l_its]
type = CumulativeValuePostprocessor
postprocessor = l_its
[]
[contact]
type = ContactDOFSetSize
variable = frictionless_normal_lm
subdomain = frictionless_secondary_subdomain
[]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'block'
[]
[avg_temp]
type = ElementAverageValue
variable = temp
block = 'block'
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'block'
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'block'
value_type = min
[]
[avg_vonmises]
type = ElementAverageValue
variable = vonmises_stress
block = 'block'
[]
[max_vonmises]
type = ElementExtremeValue
variable = vonmises_stress
block = 'block'
[]
[min_vonmises]
type = ElementExtremeValue
variable = vonmises_stress
block = 'block'
value_type = min
[]
[stress_xx_recovered]
type = ElementExtremeValue
variable = stress_xx_recovered
block = 'block'
value_type = max
[]
[stress_yy_recovered]
type = ElementExtremeValue
variable = stress_yy_recovered
block = 'block'
value_type = max
[]
[]
[Outputs]
exodus = true
[comp]
type = CSV
show = 'contact avg_temp'
[]
[out]
type = CSV
[]
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Debug]
show_var_residual_norms = true
[]
(modules/heat_transfer/test/tests/code_verification/spherical_test_no2.i)
# Problem III.2
#
# A spherical shell has a thermal conductivity that varies linearly
# with temperature. The inside and outside surfaces of the shell are
# exposed to constant temperatures.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RSPHERICAL
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'ri ro beta ki ko ui uo'
symbol_values = '0.2 1.0 1e-3 5.3 5 300 0'
expression = 'uo+(ko/beta)* ( ( 1 + beta*(ki+ko)*(ui-uo)*( (1/x-1/ro) / (1/ri-1/ro) )/(ko^2))^0.5 -1 )'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[]
[BCs]
[./ui]
type = DirichletBC
boundary = left
variable = u
value = 300
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat'
prop_values = '1.0 1.0'
[../]
[./thermal_conductivity]
type = ParsedMaterial
property_name = 'thermal_conductivity'
coupled_variables = u
expression = '5 + 1e-3 * (u-0)'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/code_verification/cartesian_test_no1.i)
# Problem I.1
#
# An infinite plate with constant thermal conductivity k and
# internal heat generation q. It is exposed on each boundary
# to a constant temperature: u(0) = ui and u(L) = uo.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 1
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'q L k ui uo'
symbol_values = '1200 1 12 100 0'
expression = 'ui + (uo-ui)*x/L + (q/k) * x * (L-x) / 2'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./ui]
type = DirichletBC
boundary = left
variable = u
value = 100
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 12.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/combined/examples/stochastic/graphite_ring_thermomechanics.i)
# Generate 1/4 of a 2-ring disk and extrude it by half to obtain
# 1/8 of a 3D tube. Mirror boundary conditions will exist on the
# cut portions.
[Mesh]
[disk]
type = ConcentricCircleMeshGenerator
num_sectors = 10
radii = '1.0 1.1 1.2'
rings = '1 1 1'
has_outer_square = false
preserve_volumes = false
portion = top_right
[]
[ring]
type = BlockDeletionGenerator
input = disk
block = 1
new_boundary = 'inner'
[]
[cylinder]
type = MeshExtruderGenerator
input = ring
extrusion_vector = '0 0 1.5'
num_layers = 15
bottom_sideset = 'back'
top_sideset = 'front'
[]
[]
[Variables]
[T]
initial_condition = 300
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = T
[]
[TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[]
[]
[BCs]
[temp_inner]
type = FunctionNeumannBC
variable = T
boundary = 'inner'
function = surface_source
[]
[temp_front]
type = ConvectiveHeatFluxBC
variable = T
boundary = 'front'
T_infinity = 300
heat_transfer_coefficient = 10
[]
[temp_outer]
type = ConvectiveHeatFluxBC
variable = T
boundary = 'outer'
T_infinity = 300
heat_transfer_coefficient = 10
[]
# mirror boundary conditions.
[disp_x]
type = DirichletBC
variable = disp_x
boundary = 'left'
value = 0.0
[]
[disp_y]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0.0
[]
[disp_z]
type = DirichletBC
variable = disp_z
boundary = 'back'
value = 0.0
[]
[]
[Materials]
[cond_inner]
type = GenericConstantMaterial
block = 2
prop_names = thermal_conductivity
prop_values = 25
[]
[cond_outer]
type = GenericConstantMaterial
block = 3
prop_names = thermal_conductivity
prop_values = 100
[]
[elasticity_tensor_inner]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 2.1e5
poissons_ratio = 0.3
block = 2
[]
[elasticity_tensor_outer]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 3.1e5
poissons_ratio = 0.2
block = 3
[]
[thermal_strain_inner]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 2e-6
temperature = T
stress_free_temperature = 300
eigenstrain_name = eigenstrain_inner
block = 2
[]
[thermal_strain_outer]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-6
temperature = T
stress_free_temperature = 300
eigenstrain_name = eigenstrain_outer
block = 3
[]
[strain_inner] #We use small deformation mechanics
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = 'eigenstrain_inner'
block = 2
[]
[strain_outer] #We use small deformation mechanics
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = 'eigenstrain_outer'
block = 3
[]
[stress] #We use linear elasticity
type = ComputeLinearElasticStress
[]
[]
[Functions]
[surface_source]
type = ParsedFunction
expression = 'Q_t*pi/2.0/3.0 * cos(pi/3.0*z)'
symbol_names = 'Q_t'
symbol_values = heat_source
[]
[]
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 101'
l_max_its = 30
nl_max_its = 100
nl_abs_tol = 1e-9
l_tol = 1e-04
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Controls]
[stochastic]
type = SamplerReceiver
[]
[]
[VectorPostprocessors]
[temp_center]
type = LineValueSampler
variable = T
start_point = '1 0 0'
end_point = '1.2 0 0'
num_points = 11
sort_by = 'x'
[]
[temp_end]
type = LineValueSampler
variable = T
start_point = '1 0 1.5'
end_point = '1.2 0 1.5'
num_points = 11
sort_by = 'x'
[]
[dispx_center]
type = LineValueSampler
variable = disp_x
start_point = '1 0 0'
end_point = '1.2 0 0'
num_points = 11
sort_by = 'x'
[]
[dispx_end]
type = LineValueSampler
variable = disp_x
start_point = '1 0 1.5'
end_point = '1.2 0 1.5'
num_points = 11
sort_by = 'x'
[]
[dispz_end]
type = LineValueSampler
variable = disp_z
start_point = '1 0 1.5'
end_point = '1.2 0 1.5'
num_points = 11
sort_by = 'x'
[]
[]
[Postprocessors]
[heat_source]
type = FunctionValuePostprocessor
function = 1
scale_factor = 10000
execute_on = linear
[]
[temp_center_inner]
type = PointValue
variable = T
point = '1 0 0'
[]
[temp_center_outer]
type = PointValue
variable = T
point = '1.2 0 0'
[]
[temp_end_inner]
type = PointValue
variable = T
point = '1 0 1.5'
[]
[temp_end_outer]
type = PointValue
variable = T
point = '1.2 0 1.5'
[]
[dispx_center_inner]
type = PointValue
variable = disp_x
point = '1 0 0'
[]
[dispx_center_outer]
type = PointValue
variable = disp_x
point = '1.2 0 0'
[]
[dispx_end_inner]
type = PointValue
variable = disp_x
point = '1 0 1.5'
[]
[dispx_end_outer]
type = PointValue
variable = disp_x
point = '1.2 0 1.5'
[]
[dispz_inner]
type = PointValue
variable = disp_z
point = '1 0 1.5'
[]
[dispz_outer]
type = PointValue
variable = disp_z
point = '1.2 0 1.5'
[]
[]
[Outputs]
exodus = false
csv = false
[]
(modules/functional_expansion_tools/examples/2D_interface/sub.i)
# Basic example coupling a master and sub app at an interface in a 2D model.
# The master app provides a flux term to the sub app via Functional Expansions, which then performs
# its calculations. The sub app's interface conditions, both value and flux, are transferred back
# to the master app
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0.4
xmax = 2.4
nx = 30
ymin = 0.0
ymax = 10.0
ny = 20
[]
[Variables]
[./s]
[../]
[]
[Kernels]
[./diff_s]
type = HeatConduction
variable = s
[../]
[./time_diff_s]
type = HeatConductionTimeDerivative
variable = s
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_s]
type = ConstantIC
value = 2
variable = s
[../]
[]
[BCs]
[./bottom]
type = DirichletBC
variable = s
boundary = bottom
value = 0.1
[../]
[./interface_flux]
type = FXFluxBC
boundary = left
variable = s
function = FX_Basis_Flux_Sub
[../]
[]
[Functions]
[./FX_Basis_Value_Sub]
type = FunctionSeries
series_type = Cartesian
orders = '4'
physical_bounds = '0.0 10'
y = Legendre
[../]
[./FX_Basis_Flux_Sub]
type = FunctionSeries
series_type = Cartesian
orders = '5'
physical_bounds = '0.0 10'
y = Legendre
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Sub]
type = FXBoundaryValueUserObject
function = FX_Basis_Value_Sub
variable = s
boundary = left
[../]
[./FX_Flux_UserObject_Sub]
type = FXBoundaryFluxUserObject
function = FX_Basis_Flux_Sub
variable = s
boundary = left
diffusivity = thermal_conductivity
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 1.0
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
(modules/heat_transfer/test/tests/code_verification/cartesian_test_no5.i)
# Problem I.5
#
# The volumetric heat generation in an infinite plate varies linearly
# with spatial location. It has constant thermal conductivity.
# It is insulated on the left boundary and exposed to a
# constant temperature on the right.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 1
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Functions]
[./volumetric_heat]
type = ParsedFunction
symbol_names = 'q L beta'
symbol_values = '1200 1 0.1'
expression = 'q * (1-beta*x/L)'
[../]
[./exact]
type = ParsedFunction
symbol_names = 'uo q k L beta'
symbol_values = '300 1200 1 1 0.1'
expression = 'uo + (0.5*q*L^2/k) * ( (1-(x/L)^2) - (1-(x/L)^3) * beta/3 )'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = volumetric_heat
variable = u
[../]
[]
[BCs]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 300
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 1.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/tutorials/introduction/therm_step02a.i)
#
# Single block thermal input with a line value sampler
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step02.html
#
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[]
[Variables]
[T]
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
[]
[]
[BCs]
[t_left]
type = DirichletBC
variable = T
value = 300
boundary = 'left'
[]
[t_right]
type = FunctionDirichletBC
variable = T
function = '300+5*t'
boundary = 'right'
[]
[]
[Executioner]
type = Transient
end_time = 5
dt = 1
[]
[VectorPostprocessors]
[t_sampler]
type = LineValueSampler
variable = T
start_point = '0 0.5 0'
end_point = '2 0.5 0'
num_points = 20
sort_by = x
[]
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = therm_step02a_out
execute_on = final
[]
[]
(modules/heat_transfer/test/tests/postprocessors/convective_ht_side_integral.i)
[Mesh]
type = MeshGeneratorMesh
[./cartesian]
type = CartesianMeshGenerator
dim = 2
dx = '0.45 0.1 0.45'
ix = '5 1 5'
dy = '0.45 0.1 0.45'
iy = '5 1 5'
subdomain_id = '1 1 1
1 2 1
1 1 1'
[../]
[./add_iss_1]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 1
paired_block = 2
new_boundary = 'interface'
input = cartesian
[../]
[./block_deleter]
type = BlockDeletionGenerator
block = 2
input = add_iss_1
[../]
[]
[Variables]
[./temperature]
initial_condition = 300
[../]
[]
[AuxVariables]
[./channel_T]
family = MONOMIAL
order = CONSTANT
initial_condition = 400
[../]
[./channel_Hw]
family = MONOMIAL
order = CONSTANT
initial_condition = 1000
[../]
[]
[Kernels]
[./graphite_diffusion]
type = HeatConduction
variable = temperature
diffusion_coefficient = 'k_s'
[../]
[]
[BCs]
## boundary conditions for the thm channels in the reflector
[./channel_heat_transfer]
type = CoupledConvectiveHeatFluxBC
variable = temperature
htc = channel_Hw
T_infinity = channel_T
boundary = 'interface'
[../]
# hot boundary on the left
[./left]
type = DirichletBC
variable = temperature
value = 1000
boundary = 'left'
[../]
# cool boundary on the right
[./right]
type = DirichletBC
variable = temperature
value = 300
boundary = 'right'
[../]
[]
[Materials]
[./thermal]
type = GenericConstantMaterial
prop_names = 'k_s'
prop_values = '12'
[../]
[./htc_material]
type = GenericConstantMaterial
prop_names = 'alpha_wall'
prop_values = '1000'
[../]
[./tfluid_mat]
type = PiecewiseLinearInterpolationMaterial
property = tfluid_mat
variable = channel_T
x = '400 500'
y = '400 500'
[../]
[]
[Postprocessors]
[./Qw1]
type = ConvectiveHeatTransferSideIntegral
T_fluid_var = channel_T
htc_var = channel_Hw
T_solid = temperature
boundary = interface
[../]
[./Qw2]
type = ConvectiveHeatTransferSideIntegral
T_fluid_var = channel_T
htc = alpha_wall
T_solid = temperature
boundary = interface
[../]
[./Qw3]
type = ConvectiveHeatTransferSideIntegral
T_fluid = tfluid_mat
htc = alpha_wall
T_solid = temperature
boundary = interface
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/truss_heat_conduction/rectangle_w_line.i)
[Mesh]
parallel_type = 'replicated'
[rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 5
ny = 50
xmin = -0.5
xmax = 0.5
ymin = -1.25
ymax = 1.25
boundary_name_prefix = rectangle
[]
[rectangle_id]
type = SubdomainIDGenerator
input = rectangle
subdomain_id = 1
[]
[line]
type = GeneratedMeshGenerator
dim = 1
xmin = -0.5
xmax = 0.5
nx = 10
boundary_name_prefix = line
boundary_id_offset = 10
[]
[line_id]
type = SubdomainIDGenerator
input = line
subdomain_id = 2
[]
[combined]
type = MeshCollectionGenerator
inputs = 'rectangle_id line_id'
[]
[blcok_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'rectangle line'
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time_derivative]
type = HeatConductionTimeDerivative
variable = temperature
block = 'rectangle'
[]
[heat_conduction]
type = HeatConduction
variable = temperature
block = 'rectangle'
[]
[time_derivative_line]
type = TrussHeatConductionTimeDerivative
variable = temperature
area = area
block = 'line'
[]
[heat_conduction_line]
type = TrussHeatConduction
variable = temperature
area = area
block = 'line'
[]
[]
[AuxVariables]
[area]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[area]
type = ConstantAux
variable = area
value = 0.1 # strip thickness
execute_on = 'initial timestep_begin'
[]
[]
[Constraints]
[equalvalue]
type = EqualValueEmbeddedConstraint
secondary = 'line'
primary = 'rectangle'
penalty = 1e6
formulation = kinematic
primary_variable = temperature
variable = temperature
[]
[]
[Materials]
[rectangle]
type = GenericConstantMaterial
block = 'rectangle'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[line]
type = GenericConstantMaterial
block = 'line'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '10.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[]
[BCs]
[right]
type = FunctionDirichletBC
variable = temperature
boundary = 'rectangle_right line_right'
function = '10*t'
[]
[]
[VectorPostprocessors]
[x_n0_25]
type = LineValueSampler
start_point = '-0.25 0 0'
end_point = '-0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[x_0_25]
type = LineValueSampler
start_point = '0.25 0 0'
end_point = '0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[]
[Executioner]
type = Transient
start_time = 0
dt = 1
end_time = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = 'csv/rectangle_w_line'
time_data = true
[]
[]
(modules/heat_transfer/tutorials/introduction/therm_step02.i)
#
# Single block thermal input with boundary conditions
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step02.html
#
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[]
[Variables]
[T]
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
[]
[]
[BCs]
[t_left]
type = DirichletBC
variable = T
value = 300
boundary = 'left'
[]
[t_right]
type = FunctionDirichletBC
variable = T
function = '300+5*t'
boundary = 'right'
[]
[]
[Executioner]
type = Transient
end_time = 5
dt = 1
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/gap_heat_transfer_convex/gap_heat_transfer_convex.i)
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
temperature = temp
[]
[Mesh]
file = gap_heat_transfer_convex.e
[]
[Functions]
[./disp]
type = PiecewiseLinear
x = '0 2.0'
y = '0 1.0'
[../]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '200 200'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 100
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 2
secondary = 3
emissivity_primary = 0
emissivity_secondary = 0
[../]
[]
[Physics/SolidMechanics/QuasiStatic/All]
volumetric_locking_correction = true
strain = FINITE
eigenstrain_names = eigenstrain
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./move_right]
type = FunctionDirichletBC
boundary = '3'
variable = disp_x
function = disp
[../]
[./fixed_x]
type = DirichletBC
boundary = '1'
variable = disp_x
value = 0
[../]
[./fixed_y]
type = DirichletBC
boundary = '1 2 3 4'
variable = disp_y
value = 0
[../]
[./fixed_z]
type = DirichletBC
boundary = '1 2 3 4'
variable = disp_z
value = 0
[../]
[./temp_bottom]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_top]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = '1 2'
youngs_modulus = 1e6
poissons_ratio = 0.3
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 100
thermal_expansion_coeff = 0
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./heat1]
type = HeatConductionMaterial
block = 1
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./heat2]
type = HeatConductionMaterial
block = 2
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
block = '1 2'
density = 1.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
start_time = 0.0
dt = 0.1
end_time = 2.0
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/generalized_plane_strain_tm_contact/generalized_plane_strain_tm_contact.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
scalar_out_of_plane_strain = scalar_strain_zz
temperature = temp
[]
[Mesh]
file = 2squares.e
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./temp]
[../]
[./scalar_strain_zz]
order = FIRST
family = SCALAR
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./strain_zz]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Postprocessors]
[./react_z]
type = MaterialTensorIntegral
rank_two_tensor = stress
index_i = 2
index_j = 2
[../]
[]
[Kernels]
[./TensorMechanics]
use_displaced_mesh = true
[../]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[Physics]
[./SolidMechanics]
[./GeneralizedPlaneStrain]
[./gps]
use_displaced_mesh = true
[../]
[../]
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
[../]
[./strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xy
index_i = 0
index_j = 1
[../]
[./strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yy
index_i = 1
index_j = 1
[../]
[./strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 2
index_j = 2
[../]
[]
[Functions]
[./tempramp]
type = ParsedFunction
expression = 't'
[../]
[]
[BCs]
[./x]
type = DirichletBC
boundary = '4 6'
variable = disp_x
value = 0.0
[../]
[./y]
type = DirichletBC
boundary = '4 6'
variable = disp_y
value = 0.0
[../]
[./t]
type = DirichletBC
boundary = '4'
variable = temp
value = 0.0
[../]
[./tramp]
type = FunctionDirichletBC
variable = temp
boundary = '6'
function = tempramp
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
off_diag_row = 'disp_x disp_y'
off_diag_column = 'disp_y disp_x'
[../]
[]
[Contact]
[./mech]
primary = 8
secondary = 2
penalty = 1e+10
normalize_penalty = true
tangential_tolerance = .1
normal_smoothing_distance = .1
model = frictionless
formulation = kinematic
[../]
[]
[ThermalContact]
[./thermal]
type = GapHeatTransfer
primary = 8
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
tangential_tolerance = .1
normal_smoothing_distance = .1
gap_conductivity = 0.01
min_gap = 0.001
quadrature = true
[../]
[]
[Materials]
[./elastic_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 1e6
block = '1 2'
[../]
[./strain]
type = ComputePlaneSmallStrain
eigenstrain_names = eigenstrain
block = '1 2'
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
temperature = temp
thermal_expansion_coeff = 0.02
stress_free_temperature = 0.0
eigenstrain_name = eigenstrain
block = '1 2'
[../]
[./stress]
type = ComputeLinearElasticStress
block = '1 2'
[../]
[./heatcond]
type = HeatConductionMaterial
thermal_conductivity = 3.0
specific_heat = 300.0
block = '1 2'
[../]
[./density]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = '1'
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
line_search = none
petsc_options_iname = '-pc_type -ps_sub_type -pc_factor_mat_solver_package'
petsc_options_value = 'asm lu superlu_dist'
# controls for linear iterations
l_max_its = 100
l_tol = 1e-4
# controls for nonlinear iterations
nl_max_its = 20
nl_rel_tol = 1e-9
nl_abs_tol = 1e-10
# time control
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 2.0
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/thermo_mech/thermo_mech_smp.i)
[GlobalParams]
temperature = temp
volumetric_locking_correction = true
[]
[Mesh]
file = cube.e
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./bottom_x]
type = DirichletBC
variable = disp_x
boundary = 1
value = 0.0
[../]
[./bottom_y]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = 1
value = 0.0
[../]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 10.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.0
poissons_ratio = 0.3
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = eigenstrain
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
stress_free_temperature = 0.0
thermal_expansion_coeff = 1e-5
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./heat]
type = HeatConductionMaterial
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./density]
type = Density
density = 1.0
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_rel_tol = 1e-14
l_tol = 1e-3
l_max_its = 100
dt = 1.0
end_time = 1.0
[]
[Outputs]
file_base = thermo_mech_smp_out
[./exodus]
type = Exodus
execute_on = 'initial timestep_end nonlinear'
nonlinear_residual_dt_divisor = 100
[../]
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_xz.i)
#
# 2D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2 in the x-z plane. In other words,
# the gap between them is 1 radial unit in length.
#
# The calculated results are the same as for the cyl2D.i case in the x-y plane.
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Mesh]
[file]
type = FileMeshGenerator
file = cyl2D.e
[]
[./rotate]
type = TransformGenerator
transform = ROTATE
vector_value = '0 90 0'
input = file
[../]
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1'
y = '100 200'
[../]
[]
[Variables]
[./temp]
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_conductance]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temp
[../]
[]
[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 = 1000000.0
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 1
quadrature = true
gap_geometry_type = CYLINDER
cylinder_axis_point_1 = '0 0 0'
cylinder_axis_point_2 = '0 1 0'
[../]
[]
[BCs]
[./mid]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[]
[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
[]
[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
[../]
[]
(modules/heat_transfer/test/tests/code_verification/cylindrical_test_no3.i)
# Problem II.3
#
# The thermal conductivity of an infinitely long hollow cylinder varies
# linearly with temperature: k = k0(1+beta*u). The tube inside radius is ri and
# outside radius is ro. It has a constant internal heat generation q and
# is exposed to the same constant temperature on both surfaces: u(ri) = u(ro) = uo.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RZ
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'q k0 ri ro beta u0'
symbol_values = '1200 1 0.2 1.0 1e-3 0'
expression = 'u0+(1/beta)*( ( 1 + 0.5*beta*((ro^2-x^2)-(ro^2-ri^2) * log(ro/x)/log(ro/ri))*q/k0 )^0.5 - 1)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./uo]
type = DirichletBC
boundary = 'left right'
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat'
prop_values = '1.0 1.0'
[../]
[./thermal_conductivity]
type = ParsedMaterial
property_name = 'thermal_conductivity'
coupled_variables = u
expression = '1 * (1 + 1e-3*u)'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/recover/recover.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = recover_in.e
[]
[Variables]
[./temp]
initial_condition = 580.0
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_source]
type = BodyForce
variable = temp
block = pellet_type_1
value = 1e3
function = 't'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 5
secondary = 10
emissivity_primary = 0
emissivity_secondary = 0
quadrature = true
[../]
[]
[BCs]
[./outside]
type = DirichletBC
value = 580
boundary = '1 2 3'
variable = temp
[../]
[./edge]
type = DirichletBC
value = 700
boundary = 10
variable = temp
[../]
[]
[Materials]
[./thermal_3]
type = HeatConductionMaterial
block = 3
thermal_conductivity = 5
specific_heat = 12
[../]
[./thermal_1]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 16.0
specific_heat = 330.0
[../]
[]
[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'
nl_rel_tol = 1e-9
nl_abs_tol = 1e-11
start_time = -200
n_startup_steps = 1
end_time = 1.02e5
num_steps = 10
dtmax = 2e6
dtmin = 1
[./TimeStepper]
type = IterationAdaptiveDT
dt = 2.0e2
optimal_iterations = 15
iteration_window = 2
[../]
[./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
execute_on = 'initial timestep_end'
[../]
[./flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
[../]
[./_dt]
type = TimestepSize
[../]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/cylindrical_test_no1.i)
# Problem II.1
#
# An infinitely long hollow cylinder has an inner radius ri and
# outer radius ro. It has a constant thermal conductivity k and
# internal heat generation q. It is allowed to reach thermal
# equilibrium while being exposed to constant temperatures on its
# inside and outside boundaries: u(ri) = ui and u(ro) = uo.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RZ
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'ri ro ui uo'
symbol_values = '0.2 1.0 300 0'
expression = '( uo * log(ri) - ui * log(ro) + (ui-uo) * log(x) ) / log(ri/ro)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[]
[BCs]
[./ui]
type = DirichletBC
boundary = left
variable = u
value = 300
[../]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 5.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(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/combined/test/tests/heat_convection/heat_convection_3d_tf_test.i)
# Test cases for convective boundary conditions.
# Input file for htc_3dtest0
# TKLarson
# 11/02/11
# Revision 0
#
# Goals of this test are:
# 1) show that the 'fluid' temperature for convective boundary condition
# is behaving as expected/desired
# 2) show that expected results ensue from application of convective boundary conditions
# Convective boundary condition:
# q = h*A*(Tw - Tf)
# where
# q - heat transfer rate (w)
# h - heat transfer coefficient (w/m^2-K)
# A - surface area (m^2)
# Tw - surface temperature (K)
# Tf - fluid temperature adjacent to the surface (K)
# The heat transfer coefficient (h) is input as a variable called 'rate'
# Tf is a two valued function specified by 'initial' and 'final' along with a variable
# called 'duration,' the length of time in seconds that it takes initial to linearly ramp
# to 'final.'
# The mesh for this test case is concocted from an ASTM standard for the so-called Brazillian Cylinder test
# (ASTM International, Standard Test Method for Splitting Tensile Strength of Cylindrical Concrete
# Specimens, C 496/C 496M-04, 2004). I turned a cylinder model into a rectangular parallelpiped,
# because I already had the cylinder model.
# The model is 3-d xyz coordinates.
#
# Brazillian Parallelpiped sample dimensions:
# z = 10.3 cm, 0.103 m, (4 in)
# y = 5.08 cm, 0.0508 m, (2 in)
# x = 5.08 cm, 0.0508 m, (2 in)
# Material properties are:
# density = 2405.28 km/m^3
# specific heat = 826.4 J/kg-K
# thermal conductivity 1.937 w/m-K
# alpha (thermal conductivity/(density*specific heat) is then 9.74e-7 m^2/s
#
# Initial parallelpiped temperature is room temperature 294.26 K (70 F)
# The initial fluid temperature is room temperature. We will ramp it to 477.6 K (400 F) in 10 minutes.
# We will use a very large h (1000000) to make the surface temperature mimick the fluid temperature.
# What we expect for this problem:
# 1) Use of h = 1000000 should cause the parallelpiped surface temperature to track the fluid temperature
# 2) The fluid temperature should rise from initial (294.26 K) to final (477.6 K) in 600 s.
# 3) 1) and 2) should prove that the Tf boundary condition is ramping as desired.
# Note, we do the above because there is no way to plot a variable that is not on a mesh node!
[Mesh] # Mesh Start
# 5cm x 5cm x 10cm parallelpiped not so detailed mesh, 4 elements each end, 8 elements each long face
# Only one block (Block 1), all concrete
# Sideset definitions:
# 1 - xy plane at z=0,
# 2 - xy plane at z=-0.103,
# 3 - xz plane at y=0,
# 4 - yz plane at x=0,
# 5 - xz plane at y=0.0508,
# 6 - yz plane at x=0.0508
file = heat_convection_3d_mesh.e
#
[] # Mesh END
[Variables] # Variables Start
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 294.26 # Initial parallelpiped temperature
[../]
[] # Variables END
[Kernels] # Kernels Start
[./heat]
# type = HeatConductionRZ
type = HeatConduction
variable = temp
[../]
[./heat_ie]
# type = HeatConductionTimeDerivativeRZ
type = HeatConductionTimeDerivative
variable = temp
[../]
[] # Kernels END
[BCs] # Boundary Conditions Start
# Heat transfer coefficient on outer parallelpiped radius and ends
[./convective_clad_surface] # Convective Start
# type = ConvectiveFluxRZ # Convective flux, e.g. q'' = h*(Tw - Tf)
type = ConvectiveFluxBC # Convective flux, e.g. q'' = h*(Tw - Tf)
boundary = '1 2 3 4 5 6' # BC applied on top, along length, and bottom
variable = temp
rate = 1000000. # convective heat transfer coefficient (w/m^2-K)[176000 "]
# # the above h is ~ infinity for present purposes
initial = 294.26 # initial ambient (lab or oven) temperature (K)
final = 477.6 # final ambient (lab or oven) temperature (K)
duration = 600. # length of time in seconds that it takes the ambient
# temperature to ramp from initial to final
[../] # Convective End
[] # BCs END
[Materials] # Materials Start
[./thermal]
type = HeatConductionMaterial
block = 1
specific_heat = 826.4
thermal_conductivity = 1.937 # this makes alpha 9.74e-7 m^2/s
[../]
[./density]
type = Density
block = 1
density = 2405.28
[../]
[] # Materials END
[Executioner] # Executioner Start
type = Transient
# type = Steady
#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 = 60.
num_steps = 20 # Total run time 1200 s
[] # Executioner END
[Outputs] # Output Start
# Output Start
file_base = out_3d_tf
exodus = true
[] # Output END
# # Input file END
(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_weak_plane_stress_jacobian.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
temperature = temp
out_of_plane_strain = strain_zz
[]
[Mesh]
[./square]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./strain_zz]
[../]
[./temp]
[../]
[]
[Kernels]
[./disp_x]
type = StressDivergenceTensors
variable = disp_x
eigenstrain_names = thermal_eigenstrain
component = 0
[../]
[./disp_y]
type = StressDivergenceTensors
variable = disp_y
eigenstrain_names = thermal_eigenstrain
component = 1
[../]
[./solid_z]
type = WeakPlaneStress
variable = strain_zz
eigenstrain_names = thermal_eigenstrain
[../]
[./heat]
type = HeatConduction
variable = temp
use_displaced_mesh = false
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.0
youngs_modulus = 1
[../]
[./strain]
type = ComputePlaneSmallStrain
eigenstrain_names = thermal_eigenstrain
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-5
stress_free_temperature = 0
eigenstrain_name = thermal_eigenstrain
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./conductivity]
type = HeatConductionMaterial
thermal_conductivity = 1
use_displaced_mesh = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-ksp_type -pc_type -snes_type'
petsc_options_value = 'bcgs bjacobi test'
end_time = 1.0
[]
(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch_rz_smp.i)
#
# This problem is modified from the Abaqus verification manual:
# "1.5.4 Patch test for axisymmetric elements"
# The original stress solution is given as:
# xx = yy = zz = 2000
# xy = 400
#
# Here, E=1e6 and nu=0.25.
# However, with a +100 degree change in temperature and a coefficient
# of thermal expansion of 1e-6, the solution becomes:
# xx = yy = zz = 1800
# xy = 400
# since
# E*(1-nu)/(1+nu)/(1-2*nu)*(1+2*nu/(1-nu))*(1e-3-1e-4) = 1800
#
# Also,
#
# dSrr dSrz Srr-Stt
# ---- + ---- + ------- + br = 0
# dr dz r
#
# and
#
# dSrz Srz dSzz
# ---- + --- + ---- + bz = 0
# dr r dz
#
# where
# Srr = stress in rr
# Szz = stress in zz
# Stt = stress in theta-theta
# Srz = stress in rz
# br = body force in r direction
# bz = body force in z direction
#
# This test is meant to exercise the Jacobian. To that end, the body
# force has been turned off. This makes the results differ slightly
# from the original values, but requires a correct Jacobian for minimal
# iterations. Iteration plotting is turned on to ensure that the
# number of iterations needed does not increase.
[GlobalParams]
temperature = temp
volumetric_locking_correction = true
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = elastic_thermal_patch_rz_test.e
[]
[Functions]
[./ur]
type = ParsedFunction
expression = '1e-3*x'
[../]
[./uz]
type = ParsedFunction
expression = '1e-3*(x+y)'
[../]
[./body]
type = ParsedFunction
expression = '-400/x'
[../]
[./temp]
type = ParsedFunction
expression = '117.56+100*t'
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./temp]
initial_condition = 117.56
[../]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
displacements = 'disp_x disp_y'
[All]
displacements = 'disp_x disp_y'
add_variables = true
strain = SMALL
incremental = true
eigenstrain_names = eigenstrain
generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[../]
[../]
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./ur]
type = FunctionDirichletBC
variable = disp_x
boundary = 10
function = ur
[../]
[./uz]
type = FunctionDirichletBC
variable = disp_y
boundary = 10
function = uz
[../]
[./temp]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temp
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
bulk_modulus = 666666.6666666667
poissons_ratio = 0.25
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-6
stress_free_temperature = 117.56
eigenstrain_name = eigenstrain
[../]
[./stress]
type = ComputeStrainIncrementBasedStress
[../]
[./heat]
type = HeatConductionMaterial
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[./density]
type = Density
block = 1
density = 0.283
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-12
l_max_its = 20
start_time = 0.0
dt = 1.0
num_steps = 1
end_time = 1.0
[]
[Outputs]
file_base = elastic_thermal_patch_rz_smp_out
[./exodus]
type = Exodus
execute_on = 'initial timestep_end nonlinear'
nonlinear_residual_dt_divisor = 100
[../]
[]
(modules/heat_transfer/tutorials/introduction/therm_step01.i)
#
# Initial single block thermal input
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step01.html
#
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[]
[Variables]
[T]
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
[]
[]
[Executioner]
type = Transient
end_time = 5
dt = 1
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/tutorials/introduction/therm_step03a.i)
#
# Single block thermal input with time derivative and volumetric heat source terms
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step03.html
#
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[]
[Variables]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[time_derivative]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = HeatSource
variable = T
value = 1e4
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
specific_heat = 0.5
[]
[density]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = 8000.0
[]
[]
[BCs]
[t_left]
type = DirichletBC
variable = T
value = 300
boundary = 'left'
[]
[t_right]
type = FunctionDirichletBC
variable = T
function = '300+5*t'
boundary = 'right'
[]
[]
[Executioner]
type = Transient
end_time = 5
dt = 1
[]
[VectorPostprocessors]
[t_sampler]
type = LineValueSampler
variable = T
start_point = '0 0.5 0'
end_point = '2 0.5 0'
num_points = 20
sort_by = x
[]
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = therm_step03a_out
execute_on = final
[]
[]
(tutorials/tutorial03_verification/app/test/tests/step04_mms/2d_main.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
ymax = 0
ymin = -0.2
nx = 20
ny = 4
[]
[]
[Variables]
[T]
[]
[]
[ICs]
[T_O]
type = ConstantIC
variable = T
value = 263.15
[]
[]
[Functions]
[source]
type = ParsedFunction
symbol_names = 'hours shortwave kappa'
symbol_values = '9 650 40'
expression = 'shortwave*sin(0.5*x*pi)*exp(kappa*y)*sin(1/(hours*3600)*pi*t)'
[]
[]
[Kernels]
[T_time]
type = HeatConductionTimeDerivative
variable = T
density_name = 150
specific_heat = 2000
[]
[T_cond]
type = HeatConduction
variable = T
diffusion_coefficient = 0.01
[]
[T_source]
type = HeatSource
variable = T
function = source
[]
[]
[BCs]
[top]
type = NeumannBC
boundary = top
variable = T
value = -5
[]
[bottom]
type = DirichletBC
boundary = bottom
variable = T
value = 263.15
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
dt = 600 # 10 min
end_time = 32400 # 9 hour
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_hex_template.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 5
ny = 1
nz = 1
xmin = 0.0
xmax = 0.1
ymin = 0.0
ymax = 0.01
zmin = 0.0
zmax = 0.01
elem_type = HEX8
[]
[Variables]
[./temp]
initial_condition = 0.0
[../]
[]
[BCs]
[./FixedTempLeft]
type = DirichletBC
variable = temp
boundary = left
value = 0.0
[../]
[./FunctionTempRight]
type = FunctionDirichletBC
variable = temp
boundary = right
function = '100.0 * sin(pi*t/40)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./HeatTdot]
type = HeatConductionTimeDerivative
variable = temp
[../]
[]
[Materials]
[./density]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '35.0 440.5 7200.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
l_tol = 1e-5
nl_max_its = 50
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
dt = 1
end_time = 32.0
[]
[Postprocessors]
[./target_temp]
type = NodalVariableValue
variable = temp
nodeid = 19
[../]
[]
[Outputs]
csv = true
[]
(python/peacock/tests/common/transient_heat_test.i)
[Mesh]
file = cube.e
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./ie]
type = SpecificHeatConductionTimeDerivative
variable = u
[../]
[]
[BCs]
[./bottom]
type = DirichletBC
variable = u
boundary = 1
value = 0.0
[../]
[./top]
type = DirichletBC
variable = u
boundary = 2
value = 1.0
[../]
[]
[Materials]
[./constant]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 1
specific_heat = 1
[../]
[./density]
type = Density
block = 1
density = 1
[../]
[]
[Executioner]
type = Transient
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 5
dt = .1
[]
[Outputs]
file_base = out
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/spherical_test_no3.i)
# Problem III.3
#
# The thermal conductivity of a spherical shell varies linearly with
# temperature: k = k0(1+beta* u). The inside radius is ri and the outside radius
# is ro. It has a constant internal heat generation q and is exposed to
# the same constant temperature on both surfaces: u(ri) = u(ro) = uo.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 4
xmin = 0.2
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RSPHERICAL
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'q k0 ri ro beta u0'
symbol_values = '1200 1 0.2 1.0 1e-3 0'
expression = 'u0+(1/beta)*( ( 1 + (1/3)*beta*((ro^2-x^2)-(ro^2-ri^2) * (1/x-1/ro)/(1/ri-1/ro))*q/k0 )^0.5 - 1)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./uo]
type = DirichletBC
boundary = 'left right'
variable = u
value = 0
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat'
prop_values = '1.0 1.0'
[../]
[./thermal_conductivity]
type = ParsedMaterial
property_name = 'thermal_conductivity'
coupled_variables = u
expression = '1 * (1 + 1e-3*u)'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/convective_heat_flux/t_inf.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
[]
[Variables]
[./temp]
initial_condition = 200.0
[../]
[]
[Kernels]
[./heat_dt]
type = TimeDerivative
variable = temp
[../]
[./heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = 1
[../]
[./heat]
type = BodyForce
variable = temp
value = 0
[../]
[]
[BCs]
[./right]
type = ConvectiveHeatFluxBC
variable = temp
boundary = 'right'
T_infinity = 100.0
heat_transfer_coefficient = 1
heat_transfer_coefficient_dT = 0
[../]
[]
[Postprocessors]
[./left_temp]
type = SideAverageValue
variable = temp
boundary = left
execute_on = 'TIMESTEP_END initial'
[../]
[./right_temp]
type = SideAverageValue
variable = temp
boundary = right
[../]
[./right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 1
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 1e1
nl_abs_tol = 1e-12
[]
[Outputs]
# csv = true
[]
(modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/second.i)
[Mesh]
file = nonmatching.e
second_order = true
[]
[Variables]
[./temp]
order = SECOND
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = leftleft
value = 1000
[../]
[./right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[../]
[]
[ThermalContact]
[./left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
variable = temp
emissivity_primary = 0
emissivity_secondary = 0
type = GapHeatTransfer
order = SECOND
[../]
[]
[Materials]
[./hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
[../]
[]
[Postprocessors]
[./left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = leftright
diffusivity = thermal_conductivity
[../]
[./right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = rightleft
diffusivity = thermal_conductivity
[../]
[]
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/code_verification/cylindrical_test_no5.i)
# Problem II.5
#
# The volumetric heat generation in an infinitely long solid cylinder
# varies with spatial location. It has a constant thermal conductivity.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
nx = 1
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RZ
[]
[Functions]
[./volumetric_heat]
type = ParsedFunction
symbol_names = 'q ro beta'
symbol_values = '1200 1 0.1'
expression = 'q * (1-beta*x/ro)'
[../]
[./exact]
type = ParsedFunction
symbol_names = 'uo q k ro beta'
symbol_values = '300 1200 1 1 0.1'
expression = 'uo + (0.25*q*ro^2/k) * ( (1-(x/ro)^2) - (1-(x/ro)^3) * beta * 4/9 )'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = volumetric_heat
variable = u
[../]
[]
[BCs]
[./uo]
type = DirichletBC
boundary = right
variable = u
value = 300
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 1.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/verify_against_analytical/2d_steady_state.i)
# This test solves a 2D steady state heat equation
# The error is found by comparing to the analytical solution
# Note that the thermal conductivity, specific heat, and density in this problem
# Are set to 1, and need to be changed to the constants of the material being
# Analyzed
[Mesh]
type = GeneratedMesh
dim = 2
nx = 30
ny = 30
xmax = 2
ymax = 2
[]
[Variables]
[./T]
[../]
[]
[Kernels]
[./HeatDiff]
type = HeatConduction
variable = T
[../]
[]
[BCs]
[./zero]
type = DirichletBC
variable = T
boundary = 'left right bottom'
value = 0
[../]
[./top]
type = FunctionDirichletBC
variable = T
boundary = top
function = '10*sin(pi*x*0.5)'
[../]
[]
[Materials]
[./properties]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1 1 1'
[../]
[]
[Postprocessors]
[./nodal_error]
type = NodalL2Error
function = '10/(sinh(pi))*sin(pi*x*0.5)*sinh(pi*y*0.5)'
variable = T
[../]
[./elemental_error]
type = ElementL2Error
function = '10/(sinh(pi))*sin(pi*x*0.5)*sinh(pi*y*0.5)'
variable = T
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = 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/combined/tutorials/introduction/thermal_mechanical/thermomech_step01.i)
#
# Single block coupled thermal/mechanical
# https://mooseframework.inl.gov/modules/combined/tutorials/introduction/thermoech_step01.html
#
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[pin]
type = ExtraNodesetGenerator
input = generated
new_boundary = pin
coord = '0 0 0'
[]
[]
[Variables]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[time_derivative]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = HeatSource
variable = T
value = 5e4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = FINITE
automatic_eigenstrain_names = true
generate_output = 'vonmises_stress'
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
specific_heat = 0.5
[]
[density]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = 8000.0
[]
[elasticity]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[expansion1]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 0.001
stress_free_temperature = 300
eigenstrain_name = thermal_expansion
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[BCs]
[t_left]
type = DirichletBC
variable = T
value = 300
boundary = 'left'
[]
[t_right]
type = FunctionDirichletBC
variable = T
function = '300+5*t'
boundary = 'right'
[]
[pin_x]
type = DirichletBC
variable = disp_x
boundary = pin
value = 0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
end_time = 5
dt = 1
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/radiation_transfer_symmetry/cavity_with_pillars_symmetry_bc.i)
#
# inner_left: 8
# inner_top: 11
# inner_bottom: 10
# inner_front: 9
# back_2: 7
# obstruction: 6
#
[Mesh]
[cartesian]
type = CartesianMeshGenerator
dim = 3
dx = '0.4 0.5 0.5 0.5'
dy = '0.5 0.75 0.5'
dz = '1.5 0.5'
subdomain_id = '
3 1 1 1
3 1 2 1
3 1 1 1
3 1 1 1
3 1 1 1
3 1 1 1
'
[]
[add_obstruction]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 2
paired_block = 1
new_boundary = obstruction
input = cartesian
[]
[add_new_back]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(z) < 1e-10'
included_subdomains = '1'
normal = '0 0 -1'
new_sideset_name = back_2
input = add_obstruction
[]
[add_inner_left]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
new_boundary = inner_left
input = add_new_back
[]
[add_inner_front]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(z - 2) < 1e-10'
included_subdomains = '1'
normal = '0 0 1'
new_sideset_name = inner_front
input = add_inner_left
[]
[add_inner_bottom]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y) < 1e-10'
included_subdomains = '1'
normal = '0 -1 0'
new_sideset_name = inner_bottom
input = add_inner_front
[]
[add_inner_top]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(y - 1.75) < 1e-10'
included_subdomains = '1'
normal = '0 1 0'
new_sideset_name = inner_top
input = add_inner_bottom
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[temperature]
block = '2 3'
initial_condition = 300
[]
[]
[Kernels]
[conduction]
type = HeatConduction
variable = temperature
block = '2 3'
diffusion_coefficient = 1
[]
[source]
type = BodyForce
variable = temperature
value = 1000
block = '2'
[]
[]
[BCs]
[convective]
type = CoupledConvectiveHeatFluxBC
variable = temperature
T_infinity = 300
htc = 50
boundary = 'left'
[]
[]
[GrayDiffuseRadiation]
[./cavity]
boundary = '6 7 8 9 10 11'
emissivity = '1 1 1 1 1 1'
n_patches = '1 1 1 1 1 1'
adiabatic_boundary = '7 9 10 11'
symmetry_boundary = '2'
partitioners = 'metis metis metis metis metis metis'
temperature = temperature
ray_tracing_face_order = SECOND
normalize_view_factor = false
[../]
[]
[Postprocessors]
[Tpv]
type = PointValue
variable = temperature
point = '0.3 0.5 0.5'
[]
[volume]
type = VolumePostprocessor
[]
[]
[Executioner]
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/moving.i)
[Mesh]
file = nonmatching.e
displacements = 'disp_x disp_y'
[]
[Variables]
[temp]
[]
[]
[AuxVariables]
[disp_x]
[]
[disp_y]
[]
[]
[Functions]
[disp_y]
type = ParsedFunction
expression = 0.1*t
[]
[left_temp]
type = ParsedFunction
expression = 1000+t
[]
[]
[Kernels]
[hc]
type = HeatConduction
variable = temp
[]
[]
[AuxKernels]
[disp_y]
type = FunctionAux
variable = disp_y
function = disp_y
block = left
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[BCs]
[left]
type = FunctionDirichletBC
variable = temp
boundary = leftleft
function = left_temp
[]
[right]
type = DirichletBC
variable = temp
boundary = rightright
value = 400
[]
[]
[ThermalContact]
[left_to_right]
secondary = leftright
quadrature = true
primary = rightleft
emissivity_primary = 0
emissivity_secondary = 0
variable = temp
type = GapHeatTransfer
[]
[]
[Materials]
[hcm]
type = HeatConductionMaterial
block = 'left right'
specific_heat = 1
thermal_conductivity = 1
use_displaced_mesh = true
[]
[]
[Postprocessors]
[left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = leftright
diffusivity = thermal_conductivity
[]
[right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = rightleft
diffusivity = thermal_conductivity
[]
[]
[Executioner]
type = Transient
num_steps = 9
dt = 1
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_test.i)
#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each. Each
# element is a unit cube. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far left boundary
# is ramped from 100 to 200 over one time unit. The temperature of the far right
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
#
# The heat flux across the gap at time = 1 is then:
#
# Flux(2) = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors
#
# This test has been augmented with a second scalar field that solves nearly
# the same problem. The conductivity has been changed to 10. Thus, the
# flux for the second field is 1000.
#
[Mesh]
file = gap_heat_transfer_htonly_test.e
[]
[Functions]
[./temp]
type = PiecewiseLinear
x = '0 1 2'
y = '100 200 200'
[../]
[]
[ThermalContact]
[./thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
[../]
[./awesomium_contact]
type = GapHeatTransfer
variable = awesomium
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
gap_conductivity = 10
appended_property_name = _awesomium
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[./awesomium]
order = FIRST
family = LAGRANGE
initial_condition = 100
[../]
[]
[AuxVariables]
[./gap_cond]
order = CONSTANT
family = MONOMIAL
[../]
[./gap_cond_awesomium]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./awe]
type = HeatConduction
variable = awesomium
[../]
[]
[BCs]
[./temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[../]
[./temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[../]
[./awesomium_far_left]
type = FunctionDirichletBC
boundary = 1
variable = awesomium
function = temp
[../]
[./awesomium_far_right]
type = DirichletBC
boundary = 4
variable = awesomium
value = 100
[../]
[]
[AuxKernels]
[./conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 2
[../]
[./conductance_awe]
type = MaterialRealAux
property = gap_conductance_awesomium
variable = gap_cond_awesomium
boundary = 2
[../]
[]
[Materials]
[./heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 100000000.0
[../]
[./density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
nl_rel_tol = 1e-12
l_tol = 1e-3
l_max_its = 100
dt = 1e-1
end_time = 1.0
[]
[Postprocessors]
[./temp_left]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[../]
[./temp_right]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[../]
[./flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./awe_left]
type = SideAverageValue
boundary = 2
variable = awesomium
execute_on = 'initial timestep_end'
[../]
[./awe_right]
type = SideAverageValue
boundary = 3
variable = awesomium
execute_on = 'initial timestep_end'
[../]
[./awe_flux_left]
type = SideDiffusiveFluxIntegral
variable = awesomium
boundary = 2
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[./awe_flux_right]
type = SideDiffusiveFluxIntegral
variable = awesomium
boundary = 3
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_hex20.i)
#
# This problem is taken from the Abaqus verification manual:
# "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is 200x+100y+200z.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x y z Temperature
# 1 1.000E+00 0.000E+00 1.000E+00 4.0000E+02
# 2 6.770E-01 3.050E-01 6.830E-01 3.0250E+02
# 3 3.200E-01 1.860E-01 6.430E-01 2.1120E+02
# 4 0.000E+00 0.000E+00 1.000E+00 2.0000E+02
# 5 1.000E+00 1.000E+00 1.000E+00 5.0000E+02
# 6 7.880E-01 6.930E-01 6.440E-01 3.5570E+02
# 7 1.650E-01 7.450E-01 7.020E-01 2.4790E+02
# 8 0.000E+00 1.000E+00 1.000E+00 3.0000E+02
# 9 8.385E-01 1.525E-01 8.415E-01 3.5125E+02
# 10 4.985E-01 2.455E-01 6.630E-01 2.5685E+02
# 11 1.600E-01 9.300E-02 8.215E-01 2.0560E+02
# 12 5.000E-01 0.000E+00 1.000E+00 3.0000E+02
# 13 1.000E+00 5.000E-01 1.000E+00 4.5000E+02
# 14 7.325E-01 4.990E-01 6.635E-01 3.2910E+02
# 15 2.425E-01 4.655E-01 6.725E-01 2.2955E+02
# 16 0.000E+00 5.000E-01 1.000E+00 2.5000E+02
# 17 8.940E-01 8.465E-01 8.220E-01 4.2785E+02
# 18 4.765E-01 7.190E-01 6.730E-01 3.0180E+02
# 19 8.250E-02 8.725E-01 8.510E-01 2.7395E+02
# 20 5.000E-01 1.000E+00 1.000E+00 4.0000E+02
# 21 1.000E+00 0.000E+00 0.000E+00 2.0000E+02
# 22 0.000E+00 0.000E+00 0.000E+00 0.0000E+00
# 23 8.260E-01 2.880E-01 2.880E-01 2.5160E+02
# 24 2.490E-01 3.420E-01 1.920E-01 1.2240E+02
# 25 1.000E+00 0.000E+00 5.000E-01 3.0000E+02
# 26 5.000E-01 0.000E+00 0.000E+00 1.0000E+02
# 27 0.000E+00 0.000E+00 5.000E-01 1.0000E+02
# 28 9.130E-01 1.440E-01 1.440E-01 2.2580E+02
# 29 1.245E-01 1.710E-01 9.600E-02 6.1200E+01
# 30 7.515E-01 2.965E-01 4.855E-01 2.7705E+02
# 31 5.375E-01 3.150E-01 2.400E-01 1.8700E+02
# 32 2.845E-01 2.640E-01 4.175E-01 1.6680E+02
# 33 2.730E-01 7.500E-01 2.300E-01 1.7560E+02
# 34 0.000E+00 1.000E+00 0.000E+00 1.0000E+02
# 35 2.610E-01 5.460E-01 2.110E-01 1.4900E+02
# 36 0.000E+00 5.000E-01 0.000E+00 5.0000E+01
# 37 2.190E-01 7.475E-01 4.660E-01 2.1175E+02
# 38 1.365E-01 8.750E-01 1.150E-01 1.3780E+02
# 39 0.000E+00 1.000E+00 5.000E-01 2.0000E+02
# 40 8.500E-01 6.490E-01 2.630E-01 2.8750E+02
# 41 8.380E-01 4.685E-01 2.755E-01 2.6955E+02
# 42 8.190E-01 6.710E-01 4.535E-01 3.2160E+02
# 43 5.615E-01 6.995E-01 2.465E-01 2.3155E+02
# 44 1.000E+00 1.000E+00 0.000E+00 3.0000E+02
# 45 1.000E+00 5.000E-01 0.000E+00 2.5000E+02
# 46 1.000E+00 1.000E+00 5.000E-01 4.0000E+02
# 47 9.250E-01 8.245E-01 1.315E-01 2.9375E+02
# 48 5.000E-01 1.000E+00 0.000E+00 2.0000E+02
[Mesh]#Comment
file = heat_conduction_patch_hex20.e
[] # Mesh
[Functions]
[./temps]
type = ParsedFunction
expression ='200*x+100*y+200*z'
[../]
[] # Functions
[Variables]
[./temp]
order = SECOND
family = LAGRANGE
[../]
[] # Variables
[Kernels]
[./heat_r]
type = HeatConduction
variable = temp
[../]
[] # Kernels
[BCs]
[./temps]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temps
[../]
[] # BCs
[Materials]
[./heat]
type = HeatConductionMaterial
block = 1
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[] # Materials
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 101'
line_search = 'none'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-10
l_max_its = 20
[./Quadrature]
order = THIRD
[../]
[] # Executioner
[Outputs]
exodus = true
[] # Output
(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_mortar/ref-displaced.i)
[Mesh]
file = 3blk.e
displacements = 'disp_x disp_y'
[]
[AuxVariables]
[./disp_x]
block = 1
[../]
[./disp_y]
block = 1
[../]
[]
[AuxKernels]
[./disp_x_kernel]
type = ConstantAux
variable = disp_x
value = 0.1
[../]
[./disp_y_kernel]
type = ConstantAux
variable = disp_y
value = 0
[../]
[]
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
block = '1 2 3'
[../]
[]
[Materials]
[./left]
type = HeatConductionMaterial
block = 1
thermal_conductivity = 1000
specific_heat = 1
[../]
[./right]
type = HeatConductionMaterial
block = 2
thermal_conductivity = 500
specific_heat = 1
[../]
[./middle]
type = HeatConductionMaterial
block = 3
thermal_conductivity = 100
specific_heat = 1
[../]
[]
[Kernels]
[./hc]
type = HeatConduction
variable = temp
use_displaced_mesh = true
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temp
boundary = 'left'
value = 1
[../]
[./right]
type = DirichletBC
variable = temp
boundary = 'right'
value = 0
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-11
l_tol = 1e-11
[]
[Outputs]
exodus = true
[]
(modules/functional_expansion_tools/examples/2D_interface_different_submesh/sub.i)
# Derived from the example '2D_interface' with the following differences:
#
# 1) The number of y divisions in the sub app is not the same as the master app
# 2) The subapp mesh is skewed in y
# 3) The Functional Expansion order for the flux term was increased to 7
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0.4
xmax = 2.4
nx = 30
ymin = 0.0
ymax = 10.0
ny = 23
bias_y = 1.2
[]
[Variables]
[./s]
[../]
[]
[Kernels]
[./diff_s]
type = HeatConduction
variable = s
[../]
[./time_diff_s]
type = HeatConductionTimeDerivative
variable = s
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_s]
type = ConstantIC
value = 2
variable = s
[../]
[]
[BCs]
[./bottom]
type = DirichletBC
variable = s
boundary = bottom
value = 0.1
[../]
[./interface_flux]
type = FXFluxBC
boundary = left
variable = s
function = FX_Basis_Flux_Sub
[../]
[]
[Functions]
[./FX_Basis_Value_Sub]
type = FunctionSeries
series_type = Cartesian
orders = '4'
physical_bounds = '0.0 10'
y = Legendre
[../]
[./FX_Basis_Flux_Sub]
type = FunctionSeries
series_type = Cartesian
orders = '7'
physical_bounds = '0.0 10'
y = Legendre
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Sub]
type = FXBoundaryValueUserObject
function = FX_Basis_Value_Sub
variable = s
boundary = left
[../]
[./FX_Flux_UserObject_Sub]
type = FXBoundaryFluxUserObject
function = FX_Basis_Flux_Sub
variable = s
boundary = left
diffusivity = thermal_conductivity
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 1.0
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
(modules/combined/test/tests/adaptive_timestepping/adapt_tstep_function_force_step.i)
# This is a test designed to evaluate the cabability of the
# IterationAdaptiveDT TimeStepper to adjust time step size according to
# a function. For example, if the power input function for a BISON
# simulation rapidly increases or decreases, the IterationAdaptiveDT
# TimeStepper should take time steps small enough to capture the
# oscillation.
[GlobalParams]
order = FIRST
family = LAGRANGE
block = 1
volumetric_locking_correction = true
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
file = 1hex8_10mm_cube.e
[]
[Functions]
[./Fiss_Function]
type = PiecewiseLinear
data_file = blip.csv
format = columns
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temp]
initial_condition = 300.0
[../]
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
strain = FINITE
incremental = true
eigenstrain_names = thermal_expansion
add_variables = true
generate_output = 'vonmises_stress'
temperature = temp
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[../]
[./heat_source]
type = HeatSource
variable = temp
value = 1.0
function = Fiss_Function
[../]
[]
[BCs]
[./bottom_temp]
type = DirichletBC
variable = temp
boundary = 1
value = 300
[../]
[./top_bottom_disp_x]
type = DirichletBC
variable = disp_x
boundary = '1'
value = 0
[../]
[./top_bottom_disp_y]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0
[../]
[./top_bottom_disp_z]
type = DirichletBC
variable = disp_z
boundary = '1'
value = 0
[../]
[]
[Materials]
[./thermal]
type = HeatConductionMaterial
temp = temp
specific_heat = 1.0
thermal_conductivity = 1.0
[../]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 300e6
poissons_ratio = .3
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 5e-6
stress_free_temperature = 300.0
temperature = temp
eigenstrain_name = thermal_expansion
[../]
[./density]
type = Density
density = 10963.0
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
verbose = true
nl_abs_tol = 1e-10
start_time = 0.0
num_steps = 50000
end_time = 5.1e3
[./TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = Fiss_Function
max_function_change = 3e20
force_step_every_function_point = true
dt = 1e2
[../]
[]
[Postprocessors]
[./Temperature_of_Block]
type = ElementAverageValue
variable = temp
execute_on = 'initial timestep_end'
[../]
[./vonMises]
type = ElementAverageValue
variable = vonmises_stress
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[./console]
type = Console
max_rows = 10
[../]
[]
(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_rz.i)
#
# This problem is taken from the Abaqus verification manual:
# "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is -2e5+200x+100y.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x y Temperature
# 1 1e3 0 0
# 2 1.00024e3 0 48
# 3 1.00018e3 3e-2 39
# 4 1.00004e3 2e-2 10
# 5 1.00008e3 8e-2 24
# 6 1e3 1.2e-1 12
# 7 1.00016e3 8e-2 40
# 8 1.00024e3 1.2e-1 60
[Problem]
coord_type = RZ
[]
[Mesh]#Comment
file = heat_conduction_patch_rz.e
[] # Mesh
[Functions]
[./temps]
type = ParsedFunction
expression ='-2e5+200*x+100*y'
[../]
[] # Functions
[Variables]
[./temp]
order = FIRST
family = LAGRANGE
[../]
[] # Variables
[Kernels]
[./heat_r]
type = HeatConduction
variable = temp
[../]
[] # Kernels
[BCs]
[./temps]
type = FunctionDirichletBC
variable = temp
boundary = 10
function = temps
[../]
[] # BCs
[Materials]
[./heat]
type = HeatConductionMaterial
block = 1
specific_heat = 0.116
thermal_conductivity = 4.85e-4
[../]
[] # Materials
[Executioner]
type = Steady
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'lu 101'
line_search = 'none'
nl_abs_tol = 1e-11
nl_rel_tol = 1e-10
l_max_its = 20
[] # Executioner
[Outputs]
exodus = true
[] # Outputs
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_radiation_test.i)
#
# This test replicates the legacy heat transfter test
# gap_heat_transfer_radiation/gap_heat_transfer_radiation_test.i
# The flux post processors give 3.753945e+01
#
[Mesh]
[file]
type = FileMeshGenerator
file = gap_heat_transfer_radiation_test.e
[]
[secondary]
type = LowerDBlockFromSidesetGenerator
sidesets = '2'
new_block_id = '200'
new_block_name = 'secondary_lower'
input = file
[]
[primary]
type = LowerDBlockFromSidesetGenerator
sidesets = '3'
new_block_id = '300'
new_block_name = 'primary_lower'
input = secondary
[]
[]
[Functions]
[temp]
type = PiecewiseLinear
x = '0 1'
y = '200 200'
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 100
scaling = 1e-8
[]
[lm]
order = FIRST
family = LAGRANGE
block = 'secondary_lower'
scaling = 1e-1
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
block = '1 2'
[]
[]
[BCs]
[temp_far_left]
type = FunctionDirichletBC
boundary = 1
variable = temp
function = temp
[]
[temp_far_right]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[]
[]
[UserObjects]
[radiative]
type = GapFluxModelRadiative
secondary_emissivity = 0.5
primary_emissivity = 0.5
temperature = temp
boundary = 3
[]
[simple]
type = GapFluxModelSimple
k = 0.09187557
temperature = temp
boundary = 3
[]
[]
[Constraints]
[ced]
type = ModularGapConductanceConstraint
variable = lm
secondary_variable = temp
primary_boundary = 3
primary_subdomain = 300
secondary_boundary = 2
secondary_subdomain = 200
gap_flux_models = 'simple radiative'
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 10000000.0
[]
[density]
type = GenericConstantMaterial
block = '1 2'
prop_names = 'density'
prop_values = '1.0'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
end_time = 1.0
[]
[Postprocessors]
[temp_left]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_right]
type = SideAverageValue
boundary = 3
variable = temp
execute_on = 'initial timestep_end'
[]
[flux_left]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 2
diffusivity = thermal_conductivity
[]
[flux_right]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 3
diffusivity = thermal_conductivity
[]
[]
[Outputs]
exodus = 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/truss_heat_conduction/rectangle_w_strip.i)
[Mesh]
[rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 5
ny = 50
xmin = -0.5
xmax = 0.5
ymin = -1.25
ymax = 1.25
[]
[strip]
type = SubdomainBoundingBoxGenerator
input = rectangle
bottom_left = '-0.5 -0.05 0'
top_right = '0.5 0.05 0'
block_id = 2
block_name = 'strip'
location = INSIDE
[]
[top_bottom_layers]
type = SubdomainBoundingBoxGenerator
input = strip
bottom_left = '-0.5 -0.05 0'
top_right = '0.5 0.05 0'
block_id = 1
block_name = 'rectangle'
location = OUTSIDE
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time_derivative]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_conduction]
type = HeatConduction
variable = temperature
[]
[]
[Materials]
[block]
type = GenericConstantMaterial
block = 'rectangle'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[strip]
type = GenericConstantMaterial
block = 'strip'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '10.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[]
[BCs]
[right]
type = FunctionDirichletBC
variable = temperature
boundary = 'right'
function = '10*t'
[]
[]
[VectorPostprocessors]
[x_n0_25]
type = LineValueSampler
start_point = '-0.25 0 0'
end_point = '-0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[x_0_25]
type = LineValueSampler
start_point = '0.25 0 0'
end_point = '0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[]
[Executioner]
type = Transient
start_time = 0
dt = 1
end_time = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = 'csv/rectangle_w_strip'
time_data = true
[]
[]
(modules/heat_transfer/test/tests/parallel_element_pps_test/parallel_element_pps_test.i)
[Mesh]
file = block_map.e
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
active = 'heat ie'
[./heat]
type = HeatConduction
variable = u
[../]
[./ie]
type = SpecificHeatConductionTimeDerivative
variable = u
[../]
[]
[BCs]
active = 'bottom top'
[./bottom]
type = DirichletBC
variable = u
boundary = 1
value = 0.0
[../]
[./top]
type = DirichletBC
variable = u
boundary = 2
value = 1.0
[../]
[]
[Postprocessors]
active = 'p_1 p_2 p_3 p_all'
[./p_1]
type = ElementIntegralVariablePostprocessor
variable = u
block = '1'
[../]
[./p_2]
type = ElementIntegralVariablePostprocessor
variable = u
block = '2'
[../]
[./p_3]
type = ElementIntegralVariablePostprocessor
variable = u
block = '3'
[../]
[./p_all]
type = ElementIntegralVariablePostprocessor
variable = u
block = '1 2 3'
[../]
[]
[Materials]
[./constant]
type = GenericConstantMaterial
block = 1
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0'
[../]
[./constant2]
type = GenericConstantMaterial
block = 2
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '0.8 0.8 0.8'
[../]
[./constant3]
type = GenericConstantMaterial
block = 3
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '5 5 5'
[../]
[]
[Executioner]
type = Transient
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 5
dt = .1
[]
[Outputs]
file_base = out
exodus = true
[]
(modules/heat_transfer/test/tests/verify_against_analytical/1D_transient.i)
# This test solves a 1D transient heat equation
# The error is caclulated by comparing to the analytical solution
# The problem setup and analytical solution are taken from "Advanced Engineering
# Mathematics, 10th edition" by Erwin Kreyszig.
# http://www.amazon.com/Advanced-Engineering-Mathematics-Erwin-Kreyszig/dp/0470458364
# It is Example 1 in section 12.6 on page 561
[Mesh]
type = GeneratedMesh
dim = 1
nx = 160
xmax = 80
[]
[Variables]
[./T]
[../]
[]
[ICs]
[./T_IC]
type = FunctionIC
variable = T
function = '100*sin(pi*x/80)'
[../]
[]
[Kernels]
[./HeatDiff]
type = HeatConduction
variable = T
[../]
[./HeatTdot]
type = HeatConductionTimeDerivative
variable = T
[../]
[]
[BCs]
[./sides]
type = DirichletBC
variable = T
boundary = 'left right'
value = 0
[../]
[]
[Materials]
[./k]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '0.95' #copper in cal/(cm sec C)
[../]
[./cp]
type = GenericConstantMaterial
prop_names = 'specific_heat'
prop_values = '0.092' #copper in cal/(g C)
[../]
[./rho]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = '8.92' #copper in g/(cm^3)
[../]
[]
[Postprocessors]
[./error]
type = NodalL2Error
function = '100*sin(pi*x/80)*exp(-0.95/(0.092*8.92)*pi^2/80^2*t)'
variable = T
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
l_tol = 1e-6
dt = 2
end_time = 100
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/joule_heating/transient_jouleheating.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 5
ymax = 5
[]
[Variables]
[./T]
initial_condition = 293.0 #in K
[../]
[./elec]
[../]
[]
[Kernels]
[./HeatDiff]
type = HeatConduction
variable = T
[../]
[./HeatTdot]
type = HeatConductionTimeDerivative
variable = T
[../]
[./HeatSrc]
type = JouleHeatingSource
variable = T
elec = elec
[../]
[./electric]
type = HeatConduction
variable = elec
diffusion_coefficient = electrical_conductivity
[../]
[]
[BCs]
[./lefttemp]
type = DirichletBC
boundary = left
variable = T
value = 293 #in K
[../]
[./elec_left]
type = DirichletBC
variable = elec
boundary = left
value = 1 #in V
[../]
[./elec_right]
type = DirichletBC
variable = elec
boundary = right
value = 0
[../]
[]
[Materials]
[./k]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '397.48' #copper in W/(m K)
block = 0
[../]
[./cp]
type = GenericConstantMaterial
prop_names = 'specific_heat'
prop_values = '385.0' #copper in J/(kg K)
block = 0
[../]
[./rho]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = '8920.0' #copper in kg/(m^3)
block = 0
[../]
[./sigma] #copper is default material
type = ElectricalConductivity
temperature = T
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = PJFNK
petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 101 preonly ilu 1'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
l_tol = 1e-4
dt = 1
end_time = 5
automatic_scaling = true
[]
[Outputs]
exodus = true
perf_graph = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_radiation/cylinder.i)
#
# This problem is one of radiation boundary conditions between two
# cylindrical surfaces.
#
# S(T1^4 - T2^4) R1
# flux1 = - ---------------- and flux2 = -flux1 * --
# 1 1 - e2 R1 R2
# -- + ------ * --
# e1 e2 R2
#
# where S is the Stefan Boltzmann constant 5.67e-8 W/m^2/K^4
# T1 is the temperature on the left surface 278 K
# T2 is the temperature on the right surface 333 K
# e1 is the emissivity for the left surface 0.8
# e2 is the emissivity for the left surface 0.9
# R1 is the radius of the inner surface 0.1 m
# R2 is the radius of the outer surface 0.11 m
#
# Flux1:
# Exact Code
# ------------- -------------
# -265.29 W/m^2 -265.26 W/m^2
#
# Flux2:
# Exact Code
# ------------- -------------
# 241.26 W/m^2 241.15 W/m^2
#
thick = 0.01
R1 = 0.1
R2 = 0.11
[GlobalParams]
order = second
family = lagrange
[]
[Mesh]
coord_type = RZ
[mesh1]
type = GeneratedMeshGenerator
dim = 2
elem_type = quad8
nx = 4
ny = 1
xmin = '${fparse R1 - thick}'
xmax = '${R1}'
ymin = 0
ymax = '${R1}'
boundary_name_prefix = left
[]
[mesh2]
type = GeneratedMeshGenerator
dim = 2
elem_type = quad8
nx = 4
ny = 1
xmin = '${R2}'
xmax = '${fparse R2 + thick}'
ymin = 0
ymax = '${R1}'
boundary_id_offset = 4
boundary_name_prefix = right
[]
[final]
type = CombinerGenerator
inputs = 'mesh1 mesh2'
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temperature
[]
[]
[BCs]
[left]
type = DirichletBC
variable = temperature
boundary = left_left
value = 278
[]
[right]
type = DirichletBC
variable = temperature
boundary = right_right
value = 333
[]
[]
[Materials]
[heat]
type = HeatConductionMaterial
thermal_conductivity = 200 # W/m/K
specific_heat = 4.2e5
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temperature
primary = left_right
secondary = right_left
emissivity_primary = 0.8
emissivity_secondary = 0.9
quadrature = true
gap_conductivity = 1e-40 # requires a positive value
gap_geometry_type = cylinder
[]
[]
[Functions]
[analytic_flux_1]
type = ParsedFunction
symbol_names = 'S T1 T2 e1 e2 R1 R2'
symbol_values = '5.67e-8 278 333 0.8 0.9 ${R1} ${R2}'
expression = 'T14 := T1*T1*T1*T1;
T24 := T2*T2*T2*T2;
S*(T14-T24)/(1/e1+(1-e2)/e2*R1/R2)'
[]
[analytic_flux_2]
type = ParsedFunction
symbol_names = 'S T1 T2 e1 e2 R1 R2'
symbol_values = '5.67e-8 278 333 0.8 0.9 ${R1} ${R2}'
expression = 'T14 := T1*T1*T1*T1;
T24 := T2*T2*T2*T2;
-S*(T14-T24)/(1/e1+(1-e2)/e2*R1/R2)*R1/R2'
[]
[]
[Postprocessors]
[code_flux_1]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = left_right
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[analytic_flux_1]
type = FunctionValuePostprocessor
function = analytic_flux_1
execute_on = 'initial timestep_end'
[]
[error_1]
type = ParsedPostprocessor
pp_names = 'code_flux_1 analytic_flux_1'
expression = '(analytic_flux_1 - code_flux_1)/analytic_flux_1*100'
execute_on = 'initial timestep_end'
[]
[code_flux_2]
type = SideDiffusiveFluxAverage
variable = temperature
boundary = right_left
diffusivity = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[analytic_flux_2]
type = FunctionValuePostprocessor
function = analytic_flux_2
execute_on = 'initial timestep_end'
[]
[error_2]
type = ParsedPostprocessor
pp_names = 'code_flux_2 analytic_flux_2'
expression = '(analytic_flux_2 - code_flux_2)/analytic_flux_2*100'
execute_on = 'initial timestep_end'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = newton
num_steps = 1
dt = 1
end_time = 1
nl_abs_tol = 1e-12
nl_rel_tol = 1e-10
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/transient_heat/transient_heat_derivatives.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
[]
[]
[Variables]
[temp]
order = FIRST
family = LAGRANGE
initial_condition = 2
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[ie]
type = HeatConductionTimeDerivative
variable = temp
specific_heat_dT = specific_heat_dT
density_name_dT = density_dT
[]
[]
[Functions]
[spheat]
type = ParsedFunction
expression = 't^4'
[]
[thcond]
type = ParsedFunction
expression = 'exp(t)'
[]
[]
[BCs]
[bottom]
type = DirichletBC
variable = temp
boundary = 1
value = 4
[]
[top]
type = DirichletBC
variable = temp
boundary = 2
value = 1
[]
[]
[Materials]
[constant]
type = HeatConductionMaterial
thermal_conductivity_temperature_function = thcond
specific_heat_temperature_function = spheat
temp = temp
[]
[density]
type = ParsedMaterial
property_name = density
coupled_variables = temp
expression = 'temp^3 + 2/temp'
[]
[density_dT]
type = ParsedMaterial
property_name = density_dT
coupled_variables = temp
expression = '3 * temp^2 - 2/temp/temp'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
num_steps = 1
dt = .1
nl_max_its = 10
dtmin = .1
[]
[Postprocessors]
[avg]
type = ElementAverageValue
variable = temp
[]
[]
[Outputs]
csv = true
[]
(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/functional_expansion_tools/examples/3D_volumetric_cylindrical_subapp_mesh_refine/main.i)
# Derived from the example '3D_volumetric_cylindrical' with the following differences:
#
# 1) The model mesh is refined in the MasterApp by 1
# 2) Mesh adaptivity is enabled for the SubApp
# 3) Output from the SubApp is enabled so that the mesh changes can be visualized
[Mesh]
type = FileMesh
file = cyl-tet.e
uniform_refine = 1
[]
[Variables]
[./m]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./s_in]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./diff_m]
type = HeatConduction
variable = m
[../]
[./time_diff_m]
type = HeatConductionTimeDerivative
variable = m
[../]
[./s_in] # Add in the contribution from the SubApp
type = CoupledForce
variable = m
v = s_in
[../]
[]
[AuxKernels]
[./reconstruct_s_in]
type = FunctionSeriesToAux
variable = s_in
function = FX_Basis_Value_Main
[../]
[]
[Materials]
[./Unobtanium]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[../]
[]
[ICs]
[./start_m]
type = ConstantIC
variable = m
value = 1
[../]
[]
[BCs]
[./surround]
type = DirichletBC
variable = m
value = 1
boundary = 'top bottom outside'
[../]
[]
[Functions]
[./FX_Basis_Value_Main]
type = FunctionSeries
series_type = CylindricalDuo
orders = '5 3' # Axial first, then (r, t) FX
physical_bounds = '-2.5 2.5 0 0 1' # z_min z_max x_center y_center radius
z = Legendre # Axial in z
disc = Zernike # (r, t) default to unit disc in x-y plane
[../]
[]
[UserObjects]
[./FX_Value_UserObject_Main]
type = FXVolumeUserObject
function = FX_Basis_Value_Main
variable = m
[../]
[]
[Postprocessors]
[./average_value]
type = ElementAverageValue
variable = m
[../]
[./peak_value]
type = ElementExtremeValue
value_type = max
variable = m
[../]
[./picard_iterations]
type = NumFixedPointIterations
[../]
[]
[Executioner]
type = Transient
num_steps = 10
dt = 0.5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-9
fixed_point_rel_tol = 1e-8
fixed_point_abs_tol = 1e-9
[]
[Outputs]
exodus = true
[]
[MultiApps]
[./FXTransferApp]
type = TransientMultiApp
input_files = sub.i
output_sub_cycles = true
[../]
[]
[Transfers]
[./ValueToSub]
type = MultiAppFXTransfer
to_multi_app = FXTransferApp
this_app_object_name = FX_Value_UserObject_Main
multi_app_object_name = FX_Basis_Value_Sub
[../]
[./ValueToMe]
type = MultiAppFXTransfer
from_multi_app = FXTransferApp
this_app_object_name = FX_Basis_Value_Main
multi_app_object_name = FX_Value_UserObject_Sub
[../]
[]
(modules/heat_transfer/test/tests/code_verification/spherical_test_no4.i)
# Problem III.4
#
# A spherical shell has thermal conductivity k and heat generation q.
# It has an inner radius ri and outer radius ro. A constant heat flux is
# applied to the inside surface qin and the outside surface is exposed
# to a fluid temperature uf and heat transfer coefficient h.
#
# REFERENCE:
# A. Toptan, et al. (Mar.2020). Tech. rep. CASL-U-2020-1939-000, SAND2020-3887 R. DOI:10.2172/1614683.
[Mesh]
[./geom]
type = GeneratedMeshGenerator
dim = 1
elem_type = EDGE2
xmin = 0.2
nx = 4
[../]
[]
[Variables]
[./u]
order = FIRST
[../]
[]
[Problem]
coord_type = RSPHERICAL
[]
[Functions]
[./exact]
type = ParsedFunction
symbol_names = 'qin q k ri ro uf h'
symbol_values = '100 1200 1.0 0.2 1 100 10'
expression = 'uf+ (q/(6*k)) * ( ro^2-x^2 + 2*k*(ro^3-ri^3)/(h*ro^2) + 2 * ri^3 * (1/ro-1/x) ) + (1/x-1/ro+k/(h*ro^2)) * qin * ri^2 / k'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = u
[../]
[./heatsource]
type = HeatSource
function = 1200
variable = u
[../]
[]
[BCs]
[./ui]
type = NeumannBC
boundary = left
variable = u
value = 100
[../]
[./uo]
type = CoupledConvectiveHeatFluxBC
boundary = right
variable = u
htc = 10.0
T_infinity = 100
[../]
[]
[Materials]
[./property]
type = GenericConstantMaterial
prop_names = 'density specific_heat thermal_conductivity'
prop_values = '1.0 1.0 1.0'
[../]
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = exact
variable = u
[../]
[./h]
type = AverageElementSize
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/thin_layer_heat_transfer/transient_3d.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 10
ny = 10
nz = 2
zmax = 0.2
dim = 3
[]
[block1]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 0'
top_right = '0.5 1 0.2'
input = gen
[]
[block2]
type = SubdomainBoundingBoxGenerator
block_id = 2
bottom_left = '0.5 0 0'
top_right = '1 1 0.2'
input = block1
[]
[breakmesh]
input = block2
type = BreakMeshByBlockGenerator
block_pairs = '1 2'
split_interface = true
add_interface_on_two_sides = true
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time]
type = HeatConductionTimeDerivative
variable = temperature
[]
[thermal_cond]
type = HeatConduction
variable = temperature
[]
[]
[InterfaceKernels]
[thin_layer]
type = ThinLayerHeatTransfer
thermal_conductivity = thermal_conductivity_layer
specific_heat = specific_heat_layer
density = density_layer
heat_source = heat_source_layer
thickness = 0.01
variable = temperature
neighbor_var = temperature
boundary = Block1_Block2
[]
[]
[BCs]
[left_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = left
[]
[right_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = right
[]
[]
[Materials]
[thermal_cond]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1 1 1'
[]
[thermal_cond_layer]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity_layer specific_heat_layer heat_source_layer density_layer'
prop_values = '0.05 1 10000 1'
boundary = Block1_Block2
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
dt = 0.05
num_steps = 2
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/heat_transfer/test/tests/radiative_bcs/radiative_bc_cyl.i)
#
# Thin cylindrical shell with very high thermal conductivity
# so that temperature is almost uniform at 500 K. Radiative
# boundary conditions is applied. Heat flux out of boundary
# 'right' should be 3723.36; this is approached as the mesh
# is refined
#
[Mesh]
type = MeshGeneratorMesh
[./cartesian]
type = CartesianMeshGenerator
dim = 2
dx = '1 1'
ix = '1 10'
dy = '1 1'
subdomain_id = '1 2 1 2'
[../]
[./remove_1]
type = BlockDeletionGenerator
block = 1
input = cartesian
[../]
[./readd_left]
type = ParsedGenerateSideset
combinatorial_geometry = 'abs(x - 1) < 1e-4'
new_sideset_name = left
input = remove_1
[../]
[]
[Problem]
coord_type = RZ
[]
[Variables]
[./temp]
initial_condition = 800.0
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[]
[BCs]
[./lefttemp]
type = DirichletBC
boundary = left
variable = temp
value = 800
[../]
[./radiative_bc]
type = InfiniteCylinderRadiativeBC
boundary = right
variable = temp
boundary_radius = 2
boundary_emissivity = 0.2
cylinder_radius = 3
cylinder_emissivity = 0.7
Tinfinity = 500
[../]
[]
[Materials]
[./density]
type = GenericConstantMaterial
prop_names = 'density thermal_conductivity'
prop_values = '1 1.0e5'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Steady
petsc_options = '-snes_converged_reason'
line_search = none
nl_rel_tol = 1e-6
nl_abs_tol = 1e-7
[]
[Postprocessors]
[./right]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = thermal_conductivity
[../]
[./min_temp]
type = ElementExtremeValue
variable = temp
value_type = min
[../]
[./max_temp]
type = ElementExtremeValue
variable = temp
value_type = max
[../]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_edge_template.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 5
xmin = 0.0
xmax = 0.1
elem_type = EDGE2
[]
[Variables]
[./temp]
initial_condition = 0.0
[../]
[]
[BCs]
[./FixedTempLeft]
type = DirichletBC
variable = temp
boundary = left
value = 0.0
[../]
[./FunctionTempRight]
type = FunctionDirichletBC
variable = temp
boundary = right
function = '100.0 * sin(pi*t/40)'
[../]
[]
[Kernels]
[./heat]
type = HeatConduction
variable = temp
[../]
[./HeatTdot]
type = HeatConductionTimeDerivative
variable = temp
[../]
[]
[Materials]
[./density]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '35.0 440.5 7200.0'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
l_tol = 1e-5
nl_max_its = 50
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
dt = 1
end_time = 32.0
[]
[Postprocessors]
[./target_temp]
type = NodalVariableValue
variable = temp
nodeid = 4
[../]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/corner_wrap.i)
[Mesh]
file = corner_wrap.e
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = 3
secondary = 2
emissivity_primary = 0
emissivity_secondary = 0
check_boundary_restricted = false
quadrature = true
[]
[]
[Variables]
[temp]
initial_condition = 100
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
[]
[]
[BCs]
[temp_bot_right]
type = DirichletBC
boundary = 1
variable = temp
value = 50
[]
[temp_top_left]
type = DirichletBC
boundary = 4
variable = temp
value = 100
[]
[]
[Materials]
[heat1]
type = HeatConductionMaterial
block = '1 2'
specific_heat = 1.0
thermal_conductivity = 1.0
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
line_search = 'none'
nl_rel_tol = 1e-14
l_tol = 1e-3
l_max_its = 100
# dt = 1e-1
# end_time = 1.0
[]
[Outputs]
exodus = true
[]
(modules/combined/examples/effective_properties/effective_th_cond.i)
# This example calculates the effective thermal conductivity across a microstructure
# with circular second phase precipitates. Two methods are used to calculate the effective thermal conductivity,
# the direct method that applies a temperature to one side and a heat flux to the other,
# and the AEH method.
[Mesh] #Sets mesh size to 10 microns by 10 microns
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 100
ny = 100
xmax = 10
ymax = 10
[]
[new_nodeset]
input = gen
type = ExtraNodesetGenerator
coord = '5 5'
new_boundary = 100
[]
[]
[Variables] #Adds variables needed for two ways of calculating effective thermal cond.
[T] #Temperature used for the direct calculation
initial_condition = 800
[]
[Tx_AEH] #Temperature used for the x-component of the AEH solve
initial_condition = 800
scaling = 1.0e4 #Scales residual to improve convergence
[]
[Ty_AEH] #Temperature used for the y-component of the AEH solve
initial_condition = 800
scaling = 1.0e4 #Scales residual to improve convergence
[]
[]
[AuxVariables] #Creates second constant phase
[phase2]
[]
[]
[ICs] #Sets the IC for the second constant phase
[phase2_IC] #Creates circles with smooth interfaces at random locations
variable = phase2
type = MultiSmoothCircleIC
int_width = 0.3
numbub = 20
bubspac = 1.5
radius = 0.5
outvalue = 0
invalue = 1
block = 0
[]
[]
[Kernels]
[HtCond] #Kernel for direct calculation of thermal cond
type = HeatConduction
variable = T
[]
[heat_x] #All other kernels are for AEH approach to calculate thermal cond.
type = HeatConduction
variable = Tx_AEH
[]
[heat_rhs_x]
type = HomogenizedHeatConduction
variable = Tx_AEH
component = 0
[]
[heat_y]
type = HeatConduction
variable = Ty_AEH
[]
[heat_rhs_y]
type = HomogenizedHeatConduction
variable = Ty_AEH
component = 1
[]
[]
[BCs]
[Periodic]
[all]
auto_direction = 'x y'
variable = 'Tx_AEH Ty_AEH'
[]
[]
[left_T] #Fix temperature on the left side
type = DirichletBC
variable = T
boundary = left
value = 800
[]
[right_flux] #Set heat flux on the right side
type = NeumannBC
variable = T
boundary = right
value = 5e-6
[]
[fix_x] #Fix Tx_AEH at a single point
type = DirichletBC
variable = Tx_AEH
value = 800
boundary = 100
[]
[fix_y] #Fix Ty_AEH at a single point
type = DirichletBC
variable = Ty_AEH
value = 800
boundary = 100
[]
[]
[Materials]
[thcond] #The equation defining the thermal conductivity is defined here, using two ifs
# The k in the bulk is k_b, in the precipitate k_p2, and across the interaface k_int
type = ParsedMaterial
block = 0
constant_names = 'length_scale k_b k_p2 k_int'
constant_expressions = '1e-6 5 1 0.1'
expression = 'sk_b:= length_scale*k_b; sk_p2:= length_scale*k_p2; sk_int:= k_int*length_scale; if(phase2>0.1,if(phase2>0.95,sk_p2,sk_int),sk_b)'
outputs = exodus
f_name = thermal_conductivity
coupled_variables = phase2
[]
[]
[Postprocessors]
[right_T]
type = SideAverageValue
variable = T
boundary = right
[]
[k_x_direct] #Effective thermal conductivity from direct method
# This value is lower than the AEH value because it is impacted by second phase
# on the right boundary
type = ThermalConductivity
variable = T
flux = 5e-6
length_scale = 1e-06
T_hot = 800
dx = 10
boundary = right
[]
[k_x_AEH] #Effective thermal conductivity in x-direction from AEH
type = HomogenizedThermalConductivity
chi = 'Tx_AEH Ty_AEH'
row = 0
col = 0
scale_factor = 1e6 #Scale due to length scale of problem
[]
[k_y_AEH] #Effective thermal conductivity in x-direction from AEH
type = HomogenizedThermalConductivity
chi = 'Tx_AEH Ty_AEH'
row = 1
col = 1
scale_factor = 1e6 #Scale due to length scale of problem
[]
[]
[Preconditioning]
[SMP]
type = SMP
off_diag_row = 'Tx_AEH Ty_AEH'
off_diag_column = 'Ty_AEH Tx_AEH'
[]
[]
[Executioner]
type = Steady
l_max_its = 15
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart -pc_hypre_boomeramg_strong_threshold'
petsc_options_value = 'hypre boomeramg 31 0.7'
l_tol = 1e-04
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
csv = true
[]
(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action.i)
[Problem]
kernel_coverage_check = false
[]
[Mesh]
type = MeshGeneratorMesh
[./cmg]
type = CartesianMeshGenerator
dim = 2
dx = '1 1.3 1.9'
ix = '3 3 3'
dy = '2 1.2 0.9'
iy = '3 3 3'
subdomain_id = '0 1 0
4 5 2
0 3 0'
[../]
[./inner_bottom]
type = SideSetsBetweenSubdomainsGenerator
input = cmg
primary_block = 1
paired_block = 5
new_boundary = 'inner_bottom'
[../]
[./inner_left]
type = SideSetsBetweenSubdomainsGenerator
input = inner_bottom
primary_block = 4
paired_block = 5
new_boundary = 'inner_left'
[../]
[./inner_right]
type = SideSetsBetweenSubdomainsGenerator
input = inner_left
primary_block = 2
paired_block = 5
new_boundary = 'inner_right'
[../]
[./inner_top]
type = SideSetsBetweenSubdomainsGenerator
input = inner_right
primary_block = 3
paired_block = 5
new_boundary = 'inner_top'
[../]
[./rename]
type = RenameBlockGenerator
old_block = '1 2 3 4'
new_block = '0 0 0 0'
input = inner_top
[../]
[]
[Variables]
[./temperature]
block = 0
[../]
[]
[Kernels]
[./heat_conduction]
type = HeatConduction
variable = temperature
block = 0
diffusion_coefficient = 5
[../]
[]
[GrayDiffuseRadiation]
[./cavity]
boundary = '4 5 6 7'
emissivity = '0.9 0.8 0.4 1'
n_patches = '2 2 2 3'
partitioners = 'centroid centroid centroid centroid'
centroid_partitioner_directions = 'x y y x'
temperature = temperature
adiabatic_boundary = '7'
fixed_temperature_boundary = '4'
fixed_boundary_temperatures = '1200'
view_factor_calculator = analytical
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = temperature
boundary = left
value = 600
[../]
[./right]
type = DirichletBC
variable = temperature
boundary = right
value = 300
[../]
[]
[Postprocessors]
[./average_T_inner_right]
type = SideAverageValue
variable = temperature
boundary = inner_right
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/heat_transfer/test/tests/thin_layer_heat_transfer/steady_2d.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
nx = 10
ny = 10
dim = 2
[]
[block1]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 0'
top_right = '0.5 1 0'
input = gen
[]
[block2]
type = SubdomainBoundingBoxGenerator
block_id = 2
bottom_left = '0.5 0 0'
top_right = '1 1 0'
input = block1
[]
[breakmesh]
input = block2
type = BreakMeshByBlockGenerator
block_pairs = '1 2'
split_interface = true
add_interface_on_two_sides = true
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[thermal_cond]
type = HeatConduction
variable = temperature
[]
[]
[InterfaceKernels]
[thin_layer]
type = ThinLayerHeatTransfer
thermal_conductivity = thermal_conductivity_layer
thickness = 0.01
variable = temperature
neighbor_var = temperature
boundary = Block1_Block2
[]
[]
[BCs]
[left_temp]
type = DirichletBC
value = 100
variable = temperature
boundary = left
[]
[right_temp]
type = DirichletBC
value = 0
variable = temperature
boundary = right
[]
[]
[Materials]
[thermal_cond]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity'
prop_values = '1'
[]
[thermal_cond_layer]
type = GenericConstantMaterial
prop_names = 'thermal_conductivity_layer'
prop_values = '0.05'
boundary = Block1_Block2
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
dt = 0.05
num_steps = 1
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/heat_transfer/test/tests/truss_heat_conduction/block_w_bar.i)
[Mesh]
[whole]
type = GeneratedMeshGenerator
dim = 3
nx = 3
ny = 50
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -1.25
ymax = 1.25
zmin = -0.04
zmax = 0.04
[]
[bar]
type = SubdomainBoundingBoxGenerator
input = whole
bottom_left = '-0.6 -0.05 -0.04'
top_right = '0.6 0.05 0.04'
block_id = 2
block_name = 'bar'
location = INSIDE
[]
[block]
type = SubdomainBoundingBoxGenerator
input = bar
bottom_left = '-0.6 -0.05 -0.04'
top_right = '0.6 0.05 0.04'
block_id = 1
block_name = 'block'
location = OUTSIDE
[]
[]
[Variables]
[temperature]
[]
[]
[Kernels]
[time_derivative]
type = HeatConductionTimeDerivative
variable = temperature
[]
[heat_conduction]
type = HeatConduction
variable = temperature
[]
[]
[Materials]
[block]
type = GenericConstantMaterial
block = 'block'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '1.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[line]
type = GenericConstantMaterial
block = 'bar'
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '10.0 1.0 1.0' # W/(cm K), J/(g K), g/cm^3
[]
[]
[BCs]
[right]
type = FunctionDirichletBC
variable = temperature
boundary = 'right'
function = '10*t'
[]
[]
[VectorPostprocessors]
[x_n0_25]
type = LineValueSampler
start_point = '-0.25 0 0'
end_point = '-0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[x_0_25]
type = LineValueSampler
start_point = '0.25 0 0'
end_point = '0.25 1.25 0'
num_points = 100
variable = 'temperature'
sort_by = id
[]
[]
[Executioner]
type = Transient
start_time = 0
dt = 1
end_time = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[csv]
type = CSV
file_base = 'csv/block_w_bar'
time_data = true
[]
[]