- 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
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Unit:(no unit assumed)
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- 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.
AverageElementSize
Computes the average element size.
Other relevant metrics about the mesh may be obtained locally using an ElementQualityAux.
Example input syntax
In this example, an advection problem is solved at multiple mesh refinement levels for a Method of Manufactured Solution study. The size of the mesh is output to CSV using the AverageElementSize postprocessor.
[Postprocessors]
[./L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
Input Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- 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.
- 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.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Unit:(no unit assumed)
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
- 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
- outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
Input Files
- (test/tests/linearfvkernels/block-restriction/block-restricted-adr.i)
- (test/tests/postprocessors/num_vars/num_vars.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/2d-vortex.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no4.i)
- (modules/navier_stokes/test/tests/finite_volume/cell_value_reconst/velocity_reconst.i)
- (test/tests/mortar/continuity-3d-non-conforming/continuity_sphere_hex.i)
- (test/tests/variables/fe_monomial_const/monomial-const-2d.i)
- (test/tests/fvkernels/mms/skewness-correction/two_term_extrapol/advection-outflow.i)
- (test/tests/linearfvkernels/diffusion/diffusion-2d-rz.i)
- (test/tests/linearfvkernels/diffusion/diffusion-1d.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/pwcnsfv.i)
- (test/tests/fvkernels/mms/advection-diffusion.i)
- (test/tests/tag/2d_diffusion_dg_tag.i)
- (test/tests/fvkernels/mms/skewness-correction/adv-diff-react/skewed.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/1d-rc-continuous.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no5.i)
- (modules/navier_stokes/test/tests/finite_element/ins/hdg/mms/lid.i)
- (test/tests/variables/fe_hier/hier-3-3d.i)
- (test/tests/fvkernels/mms/grad-reconstruction/rz.i)
- (test/tests/outputs/debug/show_var_residual_norms.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc.i)
- (test/tests/mortar/convergence-studies/solution-continuity/continuity.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/plane-poiseuille-flow.i)
- (test/tests/mortar/continuity-3d-non-conforming/continuity_mixed.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-rc.i)
- (test/tests/hdgkernels/diffusion/rt-mms-diffusion.i)
- (test/tests/linearfvkernels/advection/advection-2d-rz.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-rc.i)
- (test/tests/fvkernels/mms/harmonic_interpolation/diffusion.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no2.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/porous-hllc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-rz-symmetry.i)
- (test/tests/linearfvkernels/advection/advection-2d.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average.i)
- (examples/ex14_pps/ex14.i)
- (test/tests/variables/fe_hier/hier-2-2d.i)
- (test/tests/variables/fe_hermite_convergence/hermite_converge_dirichlet.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no3.i)
- (test/tests/dgkernels/3d_diffusion_dg/3d_diffusion_dg_test.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/1d-average.i)
- (test/tests/mortar/continuity-3d-non-conforming/continuity_penalty_sphere_hex.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex.i)
- (test/tests/fvkernels/mms/cylindrical/advection-diffusion-reaction.i)
- (test/tests/mortar/continuity-3d-non-conforming/continuity_non_conforming_tet.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/rotated/rotated-pp-flow.i)
- (modules/level_set/test/tests/kernels/advection/advection_mms.i)
- (test/tests/meshgenerators/xy_delaunay_generator/xydelaunay_auto_area_func.i)
- (tutorials/tutorial03_verification/app/test/tests/step04_mms/2d_mms_spatial.i)
- (test/tests/variables/fe_hier/hier-1-1d.i)
- (test/tests/mortar/convergence-studies/fv-gap-conductance/gap-conductance.i)
- (test/tests/variables/fe_monomial_const/monomial-const-1d.i)
- (modules/level_set/test/tests/verification/1d_level_set_mms/level_set_mms.i)
- (test/tests/variables/fe_hier/hier-2-3d.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/rc.i)
- (test/tests/hdgkernels/diffusion/mms-diffusion.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex-action.i)
- (test/tests/outputs/debug/show_var_residual_norms_debug.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no1.i)
- (test/tests/fvkernels/mms/grad-reconstruction/mat-cartesian.i)
- (test/tests/fvkernels/mms/cylindrical/diffusion.i)
- (test/tests/variables/fe_hier/hier-1-2d.i)
- (tutorials/tutorial03_verification/app/test/tests/step03_analytical/1d_analytical.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/basic-conserved-pcnsfv-kt.i)
- (test/tests/fviks/one-var-diffusion/test.i)
- (python/mms/test/mms_spatial.i)
- (test/tests/linearfvkernels/advection/advection-1d.i)
- (test/tests/fvkernels/mms/non-orthogonal/extended-adr.i)
- (test/tests/fvkernels/mms/advective-outflow/advection-diffusion.i)
- (modules/navier_stokes/test/tests/finite_element/ins/hdg/mms/channel.i)
- (test/tests/linearfvkernels/diffusion/diffusion-2d.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no2.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no4.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average-with-temp.i)
- (test/tests/variables/fe_hermite_convergence/hermite_converge_periodic.i)
- (test/tests/variables/fe_hier/hier-3-1d.i)
- (test/tests/linearfvkernels/block-restriction/block-restricted-diffusion.i)
- (test/tests/fvkernels/mms/diffusion.i)
- (test/tests/fvkernels/fv_adapt/steady-adapt.i)
- (test/tests/fvkernels/mms/advective-outflow/advection-outflow.i)
- (test/tests/fvkernels/mms/grad-reconstruction/cartesian.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average-with-temp.i)
- (test/tests/linearfvkernels/block-restriction/block-restricted-diffusion-react.i)
- (modules/navier_stokes/test/tests/finite_element/ins/cg-dg-hybrid/mms/lid-driven-skewed/hybrid-skewed-vortex.i)
- (test/tests/variables/fe_hier/hier-2-1d.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/lid-mesh-velocity/1d-simplified.i)
- (test/tests/fvkernels/mms/advective-outflow/kt-limited-advection.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion.i)
- (test/tests/fvkernels/mms/mass-mom-mat-advection-diffusion/input.i)
- (test/tests/misc/check_error/coupled_grad_without_declare.i)
- (test/tests/fvkernels/mms/grad-reconstruction/mat-rz.i)
- (test/tests/variables/fe_monomial_const/monomial-const-3d.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion-strong-bc.i)
- (test/tests/dgkernels/3d_diffusion_dg/3d_diffusion_p_refinement.i)
- (test/tests/fvkernels/mms/mat-advection-diffusion.i)
- (test/tests/linearfvkernels/anisotropic-diffusion/anisotropic-diffusion-2d.i)
- (test/tests/dgkernels/ad_dg_diffusion/2d_diffusion_ad_dg_test.i)
- (test/tests/fvkernels/mms/cylindrical/advection.i)
- (test/tests/fviks/one-var-diffusion/no-ik.i)
- (test/tests/linearfvkernels/diffusion-reaction-advection/advection-diffusion-reaction-1d.i)
- (test/tests/mortar/convergence-studies/continuity-3d/continuity.i)
- (test/tests/fvkernels/mms/skewness-correction/diffusion/skewed.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/varying-eps-hllc.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/2d-rc-continuous.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no2.i)
- (modules/stochastic_tools/test/tests/multiapps/user_cli_args/sub_transient.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no1.i)
- (test/tests/bcs/penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
- (modules/heat_transfer/test/tests/code_verification/cartesian_test_no5.i)
- (test/tests/bcs/ad_penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
- (modules/navier_stokes/test/tests/finite_element/ins/cg-dg-hybrid/mms/lid-driven/hybrid-cg-dg-mms.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/free-flow-hllc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-symmetry.i)
- (python/mms/test/mms_temporal.i)
- (test/tests/linearfvkernels/diffusion-reaction-advection/advection-diffusion-reaction-2d.i)
- (test/tests/variables/fe_hier/hier-1-3d.i)
- (modules/stochastic_tools/test/tests/multiapps/user_cli_args/sub_steady.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no3.i)
- (modules/stochastic_tools/test/tests/multiapps/commandline_control/sub.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no1.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/2d-rc.i)
- (test/tests/fvkernels/mms/cylindrical/advection-reaction.i)
- (test/tests/fvkernels/mms/broken-domain/diffusion.i)
- (modules/level_set/test/tests/verification/1d_level_set_supg_mms/1d_level_set_supg_mms.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average.i)
- (test/tests/variables/fe_hermite/hermite-3-2d.i)
- (test/tests/fvkernels/mms/advective-outflow/limited-advection.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected-action.i)
- (test/tests/dgkernels/2d_diffusion_dg/2d_diffusion_dg_test.i)
- (test/tests/variables/fe_hier/hier-3-2d.i)
- (test/tests/variables/fe_hermite/hermite-3-1d.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no3.i)
- (test/tests/fvkernels/mms/advective-outflow/advection.i)
- (modules/heat_transfer/test/tests/code_verification/cylindrical_test_no5.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/basic-primitive-pcnsfv-kt.i)
- (test/tests/misc/multiple-nl-systems/test-fv.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/varying-eps-basic-kt-primitive.i)
- (test/tests/postprocessors/nodal_var_value/pps_output_test.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-no-slip-walls.i)
- (test/tests/mortar/continuity-3d-non-conforming/continuity_penalty_tet.i)
- (modules/stochastic_tools/test/tests/multiapps/batch_commandline_control/sub.i)
- (test/tests/variables/fe_hermite/hermite-3-3d.i)
- (test/tests/mortar/continuity-3d-non-conforming/continuity_tet.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/varying-eps-basic-kt-mixed.i)
- (test/tests/bcs/penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
- (test/tests/mortar/convergence-studies/gap-conductance/gap-conductance.i)
- (modules/heat_transfer/test/tests/code_verification/spherical_test_no4.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/cylindrical/2d-rc.i)
- (test/tests/fvkernels/mms/non-orthogonal/advection-diffusion-reaction.i)
- (test/tests/bcs/ad_penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
- (test/tests/outputs/debug/show_execution_userobjects.i)
(test/tests/fvkernels/mms/advective-outflow/advection.i)
a=1.1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0.1
xmax = 1.1
nx = 2
[../]
[]
[Variables]
[./u]
family = MONOMIAL
order = CONSTANT
fv = true
two_term_boundary_expansion = false
type = MooseVariableFVReal
[../]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
two_term_boundary_expansion = true
type = MooseVariableFVReal
[../]
[]
[FVKernels]
[./advection_u]
type = FVAdvection
variable = u
velocity = '${a} 0 0'
force_boundary_execution = true
[../]
[body_u]
type = FVBodyForce
variable = u
function = 'forcing'
[]
[./advection_v]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
force_boundary_execution = true
[../]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = u
[]
[left_v]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing]
type = ParsedFunction
expression = '-${a} * sin(x)'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/linearfvkernels/block-restriction/block-restricted-adr.i)
[Mesh]
[cmg]
type = CartesianMeshGenerator
dim = 2
dx = '0.1 1 0.1'
dy = '0.1 0.5 0.1'
ix = '1 2 1'
iy = '1 1 1'
subdomain_id = '1 1 1 1 2 3 1 1 1'
[]
[transform]
type = TransformGenerator
input = cmg
transform = TRANSLATE
vector_value = '-0.1 -0.1 0.0'
[]
[create_sides]
type = SideSetsBetweenSubdomainsGenerator
input = transform
new_boundary = sides
primary_block = 2
paired_block = 1
[]
[create_outlet]
type = SideSetsBetweenSubdomainsGenerator
input = create_sides
new_boundary = outlet
primary_block = 2
paired_block = 3
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
block = 2
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = diff_coeff_func
use_nonorthogonal_correction = false
[]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method = average
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
inactive = "outflow"
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "sides outlet"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = true
[]
[]
[Functions]
[diff_coeff_func]
type = ParsedFunction
expression = '1.0+0.5*x*y'
[]
[coeff_func]
type = ParsedFunction
expression = '1.0+1.0/(1+x*y)'
[]
[source_func]
type = ParsedFunction
expression = '-1.0*x*pi*sin((1/2)*x*pi)*cos(2*y*pi) - 0.25*y*pi*sin(2*y*pi)*cos((1/2)*x*pi) + (1.0 + 1.0/(x*y + 1))*(sin((1/2)*x*pi)*sin(2*y*pi) + 1.5) + (17/4)*pi^2*(0.5*x*y + 1.0)*sin((1/2)*x*pi)*sin(2*y*pi) + 0.25*pi*sin(2*y*pi)*cos((1/2)*x*pi)'
[]
[analytic_solution]
type = ParsedFunction
expression = 'sin((1/2)*x*pi)*sin(2*y*pi) + 1.5'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
block = 2
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
block = 2
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/postprocessors/num_vars/num_vars.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
expression = -6*(x+y)+x*x+y*y
[]
[forcing_fnv]
type = ParsedFunction
expression = -4+x*x*x-x+y*y*y-y
[]
[bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[]
[slnu]
type = ParsedGradFunction
expression = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
[]
[Variables]
[u]
order = THIRD
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
[]
[]
[Kernels]
[diff1]
type = Diffusion
variable = u
[]
[diff2]
type = Diffusion
variable = v
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[BCs]
[bc_ut]
type = FunctionDirichletBC
variable = u
boundary = top
function = bc_fnut
[]
[bc_ub]
type = FunctionDirichletBC
variable = u
boundary = bottom
function = bc_fnub
[]
[bc_ul]
type = FunctionDirichletBC
variable = u
boundary = left
function = bc_fnul
[]
[bc_ur]
type = FunctionDirichletBC
variable = u
boundary = right
function = bc_fnur
[]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'top left right bottom'
[]
[]
[Preconditioning]
[prec]
type = SMP
full = true
[]
[]
[Postprocessors]
active = 'num_vars'
[dofs]
type = NumDOFs
[]
[h]
type = AverageElementSize
[]
[L2u]
type = ElementL2Error
variable = u
function = slnu
[]
[L2v]
type = ElementL2Error
variable = v
function = slnv
[]
[H1error]
type = ElementH1Error
variable = u
function = solution
[]
[H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[]
[num_vars]
type = NumVars
system = 'NL'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
nl_rel_tol = 1e-15
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/2d-vortex.i)
mu = 1
rho = 1
advected_interp_method = 'average'
[Problem]
linear_sys_names = 'u_system v_system pressure_system'
previous_nl_solution_required = true
[]
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
[]
[]
[UserObjects]
[rc]
type = RhieChowMassFlux
u = vel_x
v = vel_y
pressure = pressure
rho = ${rho}
p_diffusion_kernel = p_diffusion
[]
[]
[Variables]
[vel_x]
type = MooseLinearVariableFVReal
initial_condition = 0.0
solver_sys = u_system
[]
[vel_y]
type = MooseLinearVariableFVReal
solver_sys = v_system
initial_condition = 0.0
[]
[pressure]
type = MooseLinearVariableFVReal
solver_sys = pressure_system
initial_condition = 0
[]
[]
[LinearFVKernels]
[u_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_x
advected_interp_method = ${advected_interp_method}
mu = ${mu}
u = vel_x
v = vel_y
momentum_component = 'x'
rhie_chow_user_object = 'rc'
use_nonorthogonal_correction = false
[]
[v_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_y
advected_interp_method = ${advected_interp_method}
mu = ${mu}
u = vel_x
v = vel_y
momentum_component = 'y'
rhie_chow_user_object = 'rc'
use_nonorthogonal_correction = false
[]
[u_pressure]
type = LinearFVMomentumPressure
variable = vel_x
pressure = pressure
momentum_component = 'x'
[]
[v_pressure]
type = LinearFVMomentumPressure
variable = vel_y
pressure = pressure
momentum_component = 'y'
[]
[u_forcing]
type = LinearFVSource
variable = vel_x
source_density = forcing_u
[]
[v_forcing]
type = LinearFVSource
variable = vel_y
source_density = forcing_v
[]
[p_diffusion]
type = LinearFVAnisotropicDiffusion
variable = pressure
diffusion_tensor = Ainv
use_nonorthogonal_correction = false
use_nonorthogonal_correction_on_boundary = false
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = HbyA
force_boundary_execution = true
[]
[]
[LinearFVBCs]
[no-slip-wall-u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top bottom'
variable = vel_x
functor = '0'
[]
[no-slip-wall-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top bottom'
variable = vel_y
functor = '0'
[]
[pressure-extrapolation]
type = LinearFVExtrapolatedPressureBC
boundary = 'left right top bottom'
variable = pressure
use_two_term_expansion = true
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)'
[]
[forcing_u]
type = ParsedFunction
expression = '-4*mu*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+rho*4*x^3'
'*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '4*mu*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+rho*4*y^3*x^2*(2'
'*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-8
pressure_l_abs_tol = 1e-8
momentum_l_tol = 0
pressure_l_tol = 0
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system v_system'
pressure_system = 'pressure_system'
momentum_equation_relaxation = 0.8
pressure_variable_relaxation = 0.3
num_iterations = 2000
pressure_absolute_tolerance = 1e-8
momentum_absolute_tolerance = 1e-8
momentum_petsc_options_iname = '-pc_type -pc_hypre_type'
momentum_petsc_options_value = 'hypre boomeramg'
pressure_petsc_options_iname = '-pc_type -pc_hypre_type'
pressure_petsc_options_value = 'hypre boomeramg'
print_fields = false
pin_pressure = true
pressure_pin_value = 0.25
pressure_pin_point = '0.5 0.5 0.0'
[]
[Outputs]
exodus = true
[csv]
type = CSV
execute_on = FINAL
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'csv'
execute_on = FINAL
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
outputs = 'csv'
execute_on = FINAL
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
outputs = 'csv'
execute_on = FINAL
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'csv'
execute_on = FINAL
[]
[]
(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/navier_stokes/test/tests/finite_volume/cell_value_reconst/velocity_reconst.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = '${fparse 2*pi}'
ymin = 0
ymax = '${fparse 2*pi}'
nx = 4
ny = 4
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[dummy]
type = MooseVariableFVReal
initial_condition = 1
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
[]
[L2u]
type = TestFaceToCellReconstruction
[]
[]
[Executioner]
type = Steady
[]
[Outputs]
csv = true
[]
(test/tests/mortar/continuity-3d-non-conforming/continuity_sphere_hex.i)
[Mesh]
second_order = false
[file]
type = FileMeshGenerator
file = spheres_hex8.e
[]
[secondary]
input = file
type = LowerDBlockFromSidesetGenerator
new_block_id = 11
new_block_name = "secondary"
sidesets = '101'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
new_block_id = 12
new_block_name = "primary"
sidesets = '102'
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[T]
block = '1 2'
[]
[lambda]
block = 'secondary'
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = '1 2'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'x^2 + y^2 + z^2 - 6'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'x^2 + y^2 + z^2'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = '4'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = EqualValueConstraint
primary_boundary = 2
secondary_boundary = 1
primary_subdomain = '12'
secondary_subdomain = '11'
variable = lambda
secondary_variable = T
correct_edge_dropping = true
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu basic NONZERO 1e-15'
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = '1 2'
[]
[h]
type = AverageElementSize
block = '1 2'
[]
[]
(test/tests/variables/fe_monomial_const/monomial-const-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 100
ny = 100
elem_type = QUAD4
[]
[Functions]
[./bc_fn]
type=ParsedFunction
expression=0
[../]
[./bc_fnt]
type = ParsedFunction
expression = 0
[../]
[./bc_fnb]
type = ParsedFunction
expression = 0
[../]
[./bc_fnl]
type = ParsedFunction
expression = 0
[../]
[./bc_fnr]
type = ParsedFunction
expression = 0
[../]
[./forcing_fn]
# type = ParsedFunction
# expression = 0
type = MTPiecewiseConst2D
[../]
[./solution]
type = MTPiecewiseConst2D
[../]
[]
[Variables]
[./u]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
# Note: MOOSE's DirichletBCs do not work properly with shape functions that do not
# have DOFs at the element edges. This test works because the solution
# has been designed to be zero at the boundary which is satisfied by the IC
# Ticket #1352
active = ''
[./bc_all]
type=FunctionDirichletBC
variable = u
boundary = 'top bottom left right'
function = bc_fn
[../]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1.e-10
[./Adaptivity]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[]
(test/tests/fvkernels/mms/skewness-correction/two_term_extrapol/advection-outflow.i)
diff=1
a=1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[../]
[]
[Variables]
[./v]
type = MooseVariableFVReal
face_interp_method = 'skewness-corrected'
[../]
[]
[FVKernels]
[./advection]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
[../]
[./diffusion]
type = FVDiffusion
variable = v
coeff = coeff
[../]
[./body]
type = FVBodyForce
variable = v
function = 'forcing'
[../]
[]
[FVBCs]
[left]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = v
[]
[top]
type = FVNeumannBC
boundary = 'top'
value = 0
variable = v
[]
[bottom]
type = FVNeumannBC
boundary = 'bottom'
value = 0
variable = v
[]
[right]
type = FVConstantScalarOutflowBC
variable = v
velocity = '${a} 0 0'
boundary = 'right'
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '${diff}'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing]
type = ParsedFunction
expression = 'cos(x) - sin(x)'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_hypre_type -snes_linesearch_minlambda'
petsc_options_value = 'hypre boomeramg 1e-9'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/linearfvkernels/diffusion/diffusion-2d-rz.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 1
ymax = 0.5
[]
coord_type = RZ
rz_coord_axis = Y
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = coeff_func
use_nonorthogonal_correction = true
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right top bottom"
functor = analytic_solution
[]
[]
[Functions]
[coeff_func]
type = ParsedFunction
expression = '1+0.5*x*y'
[]
[source_func]
type = ParsedFunction
expression = '-(-1.0*x^2*y*(1.5 - x^2) + x*(1.5 - x^2)*(-1.0*x*y - 2))/x - (-1.0*x^2*y*(1.5 - y^2) - 4*x*(1.5 - y^2)*(0.5*x*y + 1))/x'
[]
[analytic_solution]
type = ParsedFunction
expression = '(1.5-x*x)*(1.5-y*y)'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[exo]
type = Exodus
execute_on = FINAL
[]
[]
(test/tests/linearfvkernels/diffusion/diffusion-1d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 2
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = analytic_solution
[]
[]
[Functions]
[coeff_func]
type = ParsedFunction
expression = '0.5*x'
[]
[source_func]
type = ParsedFunction
expression = '2*x'
[]
[analytic_solution]
type = ParsedFunction
expression = '1-x*x'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/pwcnsfv.i)
rho='rho'
advected_interp_method='upwind'
velocity_interp_method='rc'
gamma=1.4
R=8.3145
molar_mass=29.0e-3
R_specific=${fparse R/molar_mass}
cp=${fparse gamma*R_specific/(gamma-1)}
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = sup_vel_x
pressure = pressure
porosity = porosity
[]
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[pressure]
type = INSFVPressureVariable
[]
[sup_vel_x]
type = PINSFVSuperficialVelocityVariable
[]
[]
[AuxVariables]
[porosity]
type = MooseVariableFVReal
[]
[T_fluid]
type = INSFVEnergyVariable
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = pressure
function = 'exact_p'
[]
[sup_vel_x]
type = FunctionIC
variable = sup_vel_x
function = 'exact_sup_vel_x'
[]
[T_fluid]
type = FunctionIC
variable = T_fluid
function = 'exact_T'
[]
[eps]
type = FunctionIC
variable = porosity
function = 'eps'
[]
[]
[FVKernels]
[mass_advection]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_fn]
type = FVBodyForce
variable = pressure
function = 'forcing_rho'
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = sup_vel_x
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = sup_vel_x
pressure = pressure
porosity = porosity
momentum_component = 'x'
force_boundary_execution = false
[]
[momentum_fn]
type = INSFVBodyForce
variable = sup_vel_x
functor = 'forcing_rho_ud'
momentum_component = 'x'
[]
[]
[FVBCs]
[mass]
variable = pressure
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = sup_vel_x
pressure = pressure
eqn = 'mass'
porosity = porosity
[]
[momentum]
variable = sup_vel_x
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = sup_vel_x
pressure = pressure
eqn = 'momentum'
momentum_component = 'x'
porosity = porosity
[]
# help gradient reconstruction *and* create Dirichlet values for use in PINSFVFunctorBC
[pressure_right]
type = FVFunctionDirichletBC
variable = pressure
function = exact_p
boundary = 'right'
[]
[sup_vel_x_left]
type = FVFunctionDirichletBC
variable = sup_vel_x
function = exact_sup_vel_x
boundary = 'left'
[]
[T_fluid_left]
type = FVFunctionDirichletBC
variable = T_fluid
function = exact_T
boundary = 'left'
[]
[]
[FunctorMaterials]
[const_functor]
type = ADGenericFunctorMaterial
prop_names = 'cp'
prop_values = '${cp}'
[]
[rho]
type = RhoFromPTFunctorMaterial
fp = fp
temperature = T_fluid
pressure = pressure
[]
[ins_fv]
type = INSFVEnthalpyFunctorMaterial
temperature = T_fluid
rho = ${rho}
[]
[]
[Functions]
[forcing_rho]
type = ParsedFunction
expression = '-3.45300378856215*sin(1.1*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '-0.9*(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + 0.9*(10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) + 3.13909435323832*sin(x)*cos(1.1*x)^2/cos(x)^2 - 6.9060075771243*sin(1.1*x)*cos(1.1*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '0.9*cos(1.1*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = '0.9'
[]
[]
[Executioner]
solve_type = NEWTON
type = Transient
num_steps = 1
dtmin = 1
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2pressure]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_vel_x]
approximate = sup_vel_x
exact = exact_sup_vel_x
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/advection-diffusion.i)
diff=1.1
a=1.1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = -0.6
xmax = 0.6
nx = 64
[../]
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
[../]
[]
[FVKernels]
[./advection]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
[../]
[./diffusion]
type = FVDiffusion
variable = v
coeff = coeff
[../]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[boundary]
type = FVFunctionDirichletBC
boundary = 'left right'
function = 'exact'
variable = v
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '${diff}'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = '3*x^2 + 2*x + 1'
[]
[forcing]
type = ParsedFunction
expression = '-${diff}*6 + ${a} * (6*x + 2)'
# expression = '-${diff}*6'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/tag/2d_diffusion_dg_tag.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 4
ny = 4
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[AuxVariables]
[./tag_variable1]
order = FIRST
family = MONOMIAL
[../]
[./tag_variable2]
order = FIRST
family = MONOMIAL
[../]
[]
[AuxKernels]
[./TagVectorAux1]
type = TagVectorAux
variable = tag_variable1
v = u
vector_tag = vec_tag2
execute_on = timestep_end
[../]
[./TagVectorAux2]
type = TagMatrixAux
variable = tag_variable2
v = u
matrix_tag = mat_tag2
execute_on = timestep_end
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[./abs]
type = Reaction
variable = u
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1'
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[]
[Problem]
type = TagTestProblem
test_tag_vectors = 'nontime residual vec_tag1 vec_tag2'
test_tag_matrices = 'mat_tag1 mat_tag2'
extra_tag_matrices = 'mat_tag1 mat_tag2'
extra_tag_vectors = 'vec_tag1 vec_tag2'
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-10
[]
[Postprocessors]
[./h]
type = AverageElementSize
[../]
[./dofs]
type = NumDOFs
[../]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[]
[Outputs]
exodus = true
[]
(test/tests/fvkernels/mms/skewness-correction/adv-diff-react/skewed.i)
a=1.1
diff=1.1
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
[]
[Variables]
[v]
initial_condition = 1
type = MooseVariableFVReal
face_interp_method = 'skewness-corrected'
[]
[]
[FVKernels]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[advection]
type = FVAdvection
variable = v
velocity = '${a} ${fparse 2*a} 0'
advected_interp_method = 'average'
[]
[reaction]
type = FVReaction
variable = v
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[exact]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/1d-rc-continuous.i)
mu = 1.5
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[mesh]
type = CartesianMeshGenerator
dim = 1
dx = '1 1'
ix = '15 15'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
porosity = porosity
pressure = pressure
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
[]
[]
[ICs]
[porosity_continuous]
type = FunctionIC
variable = porosity
function = smooth_jump
[]
[]
[Functions]
[smooth_jump]
type = ParsedFunction
expression = '1 - 0.5 * 1 / (1 + exp(-30*(x-1)))'
[]
# Generated by compute-functions-1d.py
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '-mu*(1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*cos((1/2)*x*pi)/(1 - 0.5/(exp(30 - 30*x) + 1)) - 15.0*pi*exp(30 - 30*x)*sin((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2) - 450.0*exp(30 - 30*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2) + 900.0*exp(60 - 60*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^3) + 450.0*exp(60 - 60*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^3*(exp(30 - 30*x) + 1)^4)) + 15.0*mu*(-1/2*pi*sin((1/2)*x*pi)/(1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*exp(30 - 30*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2))*exp(30 - 30*x)/(exp(30 - 30*x) + 1)^2 - pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi)/(1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*rho*exp(30 - 30*x)*cos((1/2)*x*pi)^2/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2) + (1 - 0.5/(exp(30 - 30*x) + 1))*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 200 lu NONZERO'
line_search = 'none'
# ksp_gmres_restart bumped to 200 for linear convergence
nl_max_its = 100
[]
[Postprocessors]
[inlet_p]
type = SideAverageValue
variable = 'pressure'
boundary = 'left'
[]
[outlet-u]
type = SideIntegralVariablePostprocessor
variable = u
boundary = 'right'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = 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/navier_stokes/test/tests/finite_element/ins/hdg/mms/lid.i)
mu=1.1
rho=1.1
[GlobalParams]
variable = face_vel_x
u = vel_x
v = vel_y
grad_u = grad_vel_x
grad_v = grad_vel_y
face_u = face_vel_x
face_v = face_vel_y
pressure = p
enclosure_lm = lm
mu = ${mu}
rho = ${rho}
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
elem_type = TRI6
[]
[]
[Variables]
[face_vel_x]
family = SIDE_HIERARCHIC
[]
[face_vel_y]
family = SIDE_HIERARCHIC
[]
[p]
family = L2_LAGRANGE
[]
[lm]
family = SCALAR
[]
[]
[AuxVariables]
[vel_x]
family = L2_LAGRANGE
[]
[vel_y]
family = L2_LAGRANGE
[]
[grad_vel_x]
family = L2_LAGRANGE_VEC
[]
[grad_vel_y]
family = L2_LAGRANGE_VEC
[]
[]
[HDGKernels]
[ns]
type = NavierStokesHDGKernel
body_force_x = forcing_u
body_force_y = forcing_v
pressure_mms_forcing_function = forcing_p
[]
[]
[HDGBCs]
[exact]
type = NavierStokesHDGVelocityDirichletBC
boundary = 'left right bottom top'
dirichlet_u = 'exact_u'
dirichlet_v = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(y)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*sin(y)*cos((1/2)*x*pi) + (1/4)*pi^2*mu*sin(y)*cos((1/2)*x*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*y*pi)*cos((1/2)*x*pi) + rho*sin(x)*cos(y)*cos((1/2)*x*pi)*cos((1/2)*y*pi) - pi*rho*sin(y)^2*sin((1/2)*x*pi)*cos((1/2)*x*pi) + sin(y)*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin(x)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'mu*sin(x)*cos((1/2)*y*pi) + (1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*x*pi)*cos((1/2)*y*pi) + rho*sin(y)*cos(x)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + sin(x)*cos(y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)*sin(y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*sin(x)*sin((1/2)*y*pi) - 1/2*pi*sin(y)*sin((1/2)*x*pi)'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
line_search = 'basic'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = vel_x
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
variable = vel_y
function = exact_v
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = p
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/variables/fe_hier/hier-3-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 1
ny = 1
nz = 1
elem_type = HEX27
# This problem only has 1 element, so using DistributedMesh in parallel
# isn't really an option, and we don't care that much about DistributedMesh
# in serial.
parallel_type = replicated
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./bc_fnk]
type = ParsedFunction
expression = -3*z*z
[../]
[./bc_fnf]
type = ParsedFunction
expression = 3*z*z
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y-6*z+(x*x*x)+(y*y*y)+(z*z*z)
[../]
[./solution]
type = ParsedGradFunction
expression = (x*x*x)+(y*y*y)+(z*z*z)
grad_x = 3*x*x
grad_y = 3*y*y
grad_z = 3*z*z
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/fvkernels/mms/grad-reconstruction/rz.i)
a=1.1
diff=1.1
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
[../]
[]
[Problem]
coord_type = 'RZ'
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
[../]
[]
[FVKernels]
[./advection]
type = FVElementalAdvection
variable = v
velocity = '${a} ${a} 0'
[../]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[diri]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-a*sin(x)*sin(y) + diff*sin(x)*cos(y) + sin(x)*cos(y) + (x*a*cos(x)*cos(y) + a*sin(x)*cos(y))/x - (-x*diff*sin(x)*cos(y) + diff*cos(x)*cos(y))/x'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/outputs/debug/show_var_residual_norms.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[]
[forcing_fnv]
type = ParsedFunction
expression = -4
[]
[slnu]
type = ParsedGradFunction
expression = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
#NeumannBC functions
[bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[]
[]
[Variables]
[u]
order = THIRD
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
[]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[diff1]
type = Diffusion
variable = u
[]
[test1]
type = CoupledConvection
variable = u
velocity_vector = v
[]
[diff2]
type = Diffusion
variable = v
[]
[react]
type = Reaction
variable = u
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[BCs]
active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
[bc_u]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[]
[bc_u_lr]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[]
[bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[]
[bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[]
[bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[]
[bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[]
[bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[]
[]
[Preconditioning]
active = ' '
[prec]
type = SMP
full = true
[]
[]
[Postprocessors]
active = 'L2u L2v'
[dofs]
type = NumDOFs
[]
[h]
type = AverageElementSize
[]
[L2u]
type = ElementL2Error
variable = u
function = slnu
[]
[L2v]
type = ElementL2Error
variable = v
function = slnv
[]
[H1error]
type = ElementH1Error
variable = u
function = solution
[]
[H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Outputs]
execute_on = 'timestep_end'
[debug] # This is a test, use the [Debug] block to enable this
type = VariableResidualNormsDebugOutput
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[mesh]
type = CartesianMeshGenerator
dim = 1
dx = '1 1'
ix = '5 5'
subdomain_id = '1 2'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '0.25*pi^2*mu*cos((1/2)*x*pi) - 1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Postprocessors]
[inlet_p]
type = SideAverageValue
variable = 'pressure'
boundary = 'left'
[]
[outlet-u]
type = SideIntegralVariablePostprocessor
variable = u
boundary = 'right'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(test/tests/mortar/convergence-studies/solution-continuity/continuity.i)
[Mesh]
second_order = true
[./left_block]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[../]
[./left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3'
new_boundary = 'lb_bottom lb_right lb_top lb_left'
[../]
[./left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[../]
[./right_block]
type = GeneratedMeshGenerator
dim = 2
xmin = 1
xmax = 2
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[../]
[./right_block_id]
type = SubdomainIDGenerator
input = right_block
subdomain_id = 2
[../]
[right_block_change_boundary_id]
type = RenameBoundaryGenerator
input = right_block_id
old_boundary = '0 1 2 3'
new_boundary = '100 101 102 103'
[]
[./combined]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_change_boundary_id'
[../]
[./block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'left_block right_block'
[../]
[right_right_sideset]
type = SideSetsAroundSubdomainGenerator
input = block_rename
new_boundary = rb_right
block = right_block
normal = '1 0 0'
[]
[right_left_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_right_sideset
new_boundary = rb_left
block = right_block
normal = '-1 0 0'
[]
[right_top_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_left_sideset
new_boundary = rb_top
block = right_block
normal = '0 1 0'
[]
[right_bottom_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_top_sideset
new_boundary = rb_bottom
block = right_block
normal = '0 -1 0'
[]
[secondary]
input = right_bottom_sideset
type = LowerDBlockFromSidesetGenerator
sidesets = 'lb_right'
new_block_id = '10001'
new_block_name = 'secondary_lower'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'rb_left'
new_block_id = '10000'
new_block_name = 'primary_lower'
[]
[]
[Variables]
[./T]
block = 'left_block right_block'
order = SECOND
[../]
[./lambda]
block = 'secondary_lower'
[../]
[]
[BCs]
[./neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = 'lb_bottom lb_top lb_left rb_bottom rb_right rb_top'
[../]
[]
[Kernels]
[./conduction]
type = Diffusion
variable = T
block = 'left_block right_block'
[../]
[./sink]
type = Reaction
variable = T
block = 'left_block right_block'
[../]
[./forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = 'left_block right_block'
[../]
[]
[Functions]
[./forcing_function]
type = ParsedFunction
expression = ''
[../]
[./exact_soln_primal]
type = ParsedFunction
expression = ''
[../]
[exact_soln_lambda]
type = ParsedFunction
expression = ''
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[./mortar]
type = EqualValueConstraint
primary_boundary = rb_left
secondary_boundary = lb_right
primary_subdomain = primary_lower
secondary_subdomain = secondary_lower
secondary_variable = T
variable = lambda
delta = 0.4
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options = '-snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu basic mumps'
[]
[Outputs]
csv = true
[dofmap]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary_lower'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = 'left_block right_block'
[]
[h]
type = AverageElementSize
block = 'left_block right_block'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/plane-poiseuille-flow.i)
mu = 0.5
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
two_term_boundary_expansion = true
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 10
ymin = -1
ymax = 1
nx = 10
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
variable = u
boundary = 'top bottom'
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
variable = v
boundary = 'top bottom'
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = '0.5*(1.0 - y^2)/mu'
symbol_names = 'mu'
symbol_values = '${mu}'
[]
[exact_rhou]
type = ParsedFunction
expression = '0.5*rho*(1.0 - y^2)/mu'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '0'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = '0.0'
[]
[exact_rhov]
type = ParsedFunction
expression = '0'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '0'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = '10.0 - x'
[]
[forcing_p]
type = ParsedFunction
expression = '0'
symbol_names = 'rho mu'
symbol_values = '${rho} ${mu}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/mortar/continuity-3d-non-conforming/continuity_mixed.i)
[Mesh]
second_order = false
[file]
type = FileMeshGenerator
file = mixed_mesh.e
[]
[secondary]
input = file
type = LowerDBlockFromSidesetGenerator
new_block_id = 11
new_block_name = "secondary"
sidesets = '101'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
new_block_id = 12
new_block_name = "primary"
sidesets = '102'
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[T]
block = '1 2'
[]
[lambda]
block = 'secondary'
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = '1 2'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = EqualValueConstraint
primary_boundary = 2
secondary_boundary = 1
primary_subdomain = '12'
secondary_subdomain = '11'
variable = lambda
secondary_variable = T
delta = 0.1
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu basic NONZERO 1e-15'
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = '1 2'
[]
[h]
type = AverageElementSize
block = '1 2'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-rc.i)
mu=1.1
rho=1.1
advected_interp_method='average'
velocity_interp_method='rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
function = 'exact_v'
[]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = v
function = 'exact_v'
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'top'
variable = pressure
function = 'exact_p'
[]
[axis-u]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = x
[]
[axis-v]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) - pi*sin(x*pi)*cos((1/2)*y*pi) + (4*x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2*cos(x*pi) + rho*sin(x*pi)^4*sin((1/2)*y*pi)^2)/x + (-x*pi*rho*sin(x*pi)^2*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*rho*sin(x*pi)^2*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x - (-2*x*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) + 2*x*pi^2*mu*sin((1/2)*y*pi)*cos(x*pi)^2 + 2*pi*mu*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1/2*pi*sin((1/2)*y*pi)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)*cos(y*pi) + 2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi)^2*cos(y*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 200 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(test/tests/hdgkernels/diffusion/rt-mms-diffusion.i)
[GlobalParams]
variable = face_u
u = u
grad_u = grad_u
face_u = face_u
diffusivity = 1
tau = 0
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
elem_type = TRI6
[]
[]
[Variables]
[face_u]
family = SIDE_HIERARCHIC
[]
[]
[AuxVariables]
[u]
family = MONOMIAL
order = CONSTANT
[]
[grad_u]
family = L2_RAVIART_THOMAS
[]
[]
[HDGKernels]
[diff]
type = DiffusionHDGKernel
source = 'forcing'
[]
[]
[HDGBCs]
[all]
type = DiffusionHDGDirichletBC
boundary = 'left right top bottom'
functor = 'exact'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(.5*pi*x)*sin(.5*pi*y)'
[]
[forcing]
type = ParsedFunction
expression = '.5*pi*.5*pi*cos(.5*pi*x)*sin(.5*pi*y) + .5*pi*.5*pi*cos(.5*pi*x)*sin(.5*pi*y)'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
line_search = 'basic'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/linearfvkernels/advection/advection-2d-rz.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny= 1
ymax = 0.5
[]
coord_type = RZ
rz_coord_axis = Y
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.0 0.5 0"
advected_interp_method = average
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[inflow]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right bottom"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "top"
use_two_term_expansion = true
[]
[]
[Functions]
[source_func]
type = ParsedFunction
expression = '1.0*pi*sin(x*pi)*cos(2*y*pi)'
[]
[analytic_solution]
type = ParsedFunction
expression = 'sin(x*pi)*sin(2*y*pi) + 1.5'
[]
[]
[Postprocessors]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
number_of_iterations = 2
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1e-10'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/harmonic_interpolation/diffusion.i)
d1 = 1
d2 = 10
[Mesh]
[gen_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
elem_type = TRI3
[]
[subdomain]
type = ParsedSubdomainMeshGenerator
input = gen_mesh
combinatorial_geometry = 'y > 0.5'
block_id = 1
[]
[]
[Variables]
[v]
type = MooseVariableFVReal
[]
[]
[FVKernels]
[diff]
type = FVDiffusion
variable = v
coeff = 'diff_coeff'
coeff_interp_method = average
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[exact]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'if (y < 0.5, 1 + x + 3*y*y*y, (11*d2-3*d1)/ (8*d2) + x + 3*d1/d2*y*y*y)'
symbol_names = 'd1 d2'
symbol_values = '${d1} ${d2}'
[]
[forcing]
type = ParsedFunction
expression = '-d1*18*y'
symbol_names = 'd1'
symbol_values = '${d1}'
[]
[]
[Materials]
[diff_coeff]
type = ADPiecewiseByBlockFunctorMaterial
prop_name = 'diff_coeff'
subdomain_to_prop_value = '0 ${d1}
1 ${d2}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
csv = true
exodus = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
[]
[]
(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/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/porous-hllc.i)
eps=0.9
[GlobalParams]
fp = fp
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = 1.1
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Variables]
[rho]
type = MooseVariableFVReal
[]
[rho_ud]
type = MooseVariableFVReal
[]
[rho_et]
type = MooseVariableFVReal
[]
[]
[ICs]
[rho]
type = FunctionIC
variable = rho
function = 'exact_rho'
[]
[rho_ud]
type = FunctionIC
variable = rho_ud
function = 'exact_rho_ud'
[]
[rho_et]
type = FunctionIC
variable = rho_et
function = 'exact_rho_et'
[]
[]
[FVKernels]
[mass_advection]
type = PCNSFVMassHLLC
variable = rho
fp = fp
[]
[mass_fn]
type = FVBodyForce
variable = rho
function = 'forcing_rho'
[]
[momentum_x_advection]
type = PCNSFVMomentumHLLC
variable = rho_ud
momentum_component = x
fp = fp
[]
[momentum_fn]
type = FVBodyForce
variable = rho_ud
function = 'forcing_rho_ud'
[]
[fluid_energy_advection]
type = PCNSFVFluidEnergyHLLC
variable = rho_et
fp = fp
[]
[energy_fn]
type = FVBodyForce
variable = rho_et
function = 'forcing_rho_et'
[]
[]
[FVBCs]
[mass_in]
variable = rho
type = PCNSFVHLLCSpecifiedMassFluxAndTemperatureMassBC
boundary = left
temperature = 'exact_T'
superficial_rhou = 'exact_rho_ud'
[]
[momentum_in]
variable = rho_ud
type = PCNSFVHLLCSpecifiedMassFluxAndTemperatureMomentumBC
boundary = left
temperature = 'exact_T'
superficial_rhou = 'exact_rho_ud'
momentum_component = 'x'
[]
[energy_in]
variable = rho_et
type = PCNSFVHLLCSpecifiedMassFluxAndTemperatureFluidEnergyBC
boundary = left
temperature = 'exact_T'
superficial_rhou = 'exact_rho_ud'
[]
[mass_out]
variable = rho
type = PCNSFVHLLCSpecifiedPressureMassBC
boundary = right
pressure = 'exact_p'
[]
[momentum_out]
variable = rho_ud
type = PCNSFVHLLCSpecifiedPressureMomentumBC
boundary = right
pressure = 'exact_p'
momentum_component = 'x'
[]
[energy_out]
variable = rho_et
type = PCNSFVHLLCSpecifiedPressureFluidEnergyBC
boundary = right
pressure = 'exact_p'
[]
[]
[Materials]
[var_mat]
type = PorousConservedVarMaterial
rho = rho
superficial_rhou = rho_ud
rho_et = rho_et
porosity = porosity
[]
[porosity]
type = GenericConstantMaterial
prop_names = 'porosity'
prop_values = '${eps}'
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.83667087618017*eps*sin(1.1*x)'
symbol_names = 'eps'
symbol_values = '${eps}'
[]
[exact_rho_ud]
type = ParsedFunction
expression = '3.48788261470924*eps*cos(1.1*x)'
symbol_names = 'eps'
symbol_values = '${eps}'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = 'eps*(-(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x)) + 3.48788261470924*eps*sin(x)*cos(1.1*x)^2/cos(x)^2 - 7.67334175236034*eps*sin(1.1*x)*cos(1.1*x)/cos(x)'
symbol_names = 'eps'
symbol_values = '${eps}'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.2*x)'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '1.0*eps*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(x)*cos(1.1*x)/cos(x)^2 - 1.1*eps*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(1.1*x)/cos(x) + 1.0*eps*(-(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) - 32.0927295688256*sin(1.2*x))*cos(1.1*x)/cos(x)'
symbol_names = 'eps'
symbol_values = '${eps}'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
symbol_names = 'eps'
symbol_values = '${eps}'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
symbol_names = 'eps'
symbol_values = '${eps}'
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = none
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho]
type = ElementL2Error
variable = rho
function = exact_rho
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho_ud]
variable = rho_ud
function = exact_rho_ud
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho_et]
variable = rho_et
function = exact_rho_et
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-rz-symmetry.i)
mu=1.1
rho=1.1
offset=0e0
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = ${offset}
xmax = ${fparse 1 + offset}
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
two_term_boundary_expansion = true
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[v]
type = INSFVVelocityVariable
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[u]
type = FunctionIC
function = 'exact_u'
variable = u
[]
[v]
type = FunctionIC
function = 'exact_v'
variable = v
[]
[pressure]
type = FunctionIC
function = 'exact_p'
variable = pressure
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_wall]
type = INSFVNoSlipWallBC
variable = u
boundary = 'right'
function = 'exact_u'
[]
[v_wall]
type = INSFVNoSlipWallBC
variable = v
boundary = 'right'
function = 'exact_v'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
function = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
function = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*cos(y*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'pi^2*mu*sin(x*pi)^2*cos(y*pi) - 2*pi*rho*sin(x*pi)^2*sin(y*pi)*cos(x*pi)*cos(y*pi) - pi*sin(x*pi)*cos(1.6*y) + (4*x*pi*rho*sin(x*pi)^3*cos(x*pi)*cos(y*pi)^2 + rho*sin(x*pi)^4*cos(y*pi)^2)/x - (-2*x*pi^2*mu*sin(x*pi)^2*cos(y*pi) + 2*x*pi^2*mu*cos(x*pi)^2*cos(y*pi) + 2*pi*mu*sin(x*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1.6*sin(1.6*y)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*cos(y*pi)^2 + 2*x*pi*rho*sin(x*pi)*cos(x*pi)^2*cos(y*pi)^2 + rho*sin(x*pi)^2*cos(x*pi)*cos(y*pi)^2)/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(1.6*y)*cos(x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi) + rho*sin(x*pi)^2*cos(y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(test/tests/linearfvkernels/advection/advection-2d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny= 1
ymax = 0.5
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method = upwind
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[inflow]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left top bottom"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = false
[]
[]
[Functions]
[source_func]
type = ParsedFunction
expression = '0.5*pi*sin(2*y*pi)*cos(x*pi)'
[]
[analytic_solution]
type = ParsedFunction
expression = 'sin(x*pi)*sin(2*y*pi) + 1.5'
[]
[]
[Postprocessors]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
number_of_iterations = 1
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1e-10'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average.i)
mu=1.1
rho=1.1
advected_interp_method='average'
velocity_interp_method='average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
function = 'exact_v'
[]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = v
function = 'exact_v'
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'top'
variable = pressure
function = 'exact_p'
[]
[axis-u]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = x
[]
[axis-v]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) - pi*sin(x*pi)*cos((1/2)*y*pi) + (4*x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2*cos(x*pi) + rho*sin(x*pi)^4*sin((1/2)*y*pi)^2)/x + (-x*pi*rho*sin(x*pi)^2*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*rho*sin(x*pi)^2*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x - (-2*x*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) + 2*x*pi^2*mu*sin((1/2)*y*pi)*cos(x*pi)^2 + 2*pi*mu*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1/2*pi*sin((1/2)*y*pi)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)*cos(y*pi) + 2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi)^2*cos(y*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(examples/ex14_pps/ex14.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 32
ny = 32
xmin = 0.0
xmax = 1.0
ymin = 0.0
ymax = 1.0
[]
[Variables]
[forced]
order = FIRST
family = LAGRANGE
[]
[]
[Functions]
# A ParsedFunction allows us to supply analytic expressions directly in the input file
[exact]
type = ParsedFunction
expression = sin(alpha*pi*x)
symbol_names = alpha
symbol_values = 16
[]
# This function is an actual compiled function
[force]
type = ExampleFunction
alpha = 16
[]
[]
[Kernels]
[diff]
type = ADDiffusion
variable = forced
[]
# This Kernel can take a function name to use
[forcing]
type = ADBodyForce
variable = forced
function = force
[]
[]
[BCs]
# The BC can take a function name to use
[all]
type = FunctionDirichletBC
variable = forced
boundary = 'bottom right top left'
function = exact
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Postprocessors]
[h]
type = AverageElementSize
[]
[error]
type = ElementL2Error
variable = forced
function = exact
[]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
csv = true
[]
(test/tests/variables/fe_hier/hier-2-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 2*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -2*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -2*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 2*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -4+x*x+y*y
[../]
[./solution]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hermite_convergence/hermite_converge_dirichlet.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 4
ny = 4
elem_type = QUAD4
# This test will not work in parallel with DistributedMesh enabled
# due to a bug in PeriodicBCs.
parallel_type = replicated
[]
[Functions]
[./bc_fn]
type = ParsedGradFunction
value = -sin(pi*x)*sin(pi*y)
grad_x = -pi*cos(pi*x)*sin(pi*y)
grad_y = -pi*sin(pi*x)*cos(pi*y)
[../]
[./forcing_fn]
type = ParsedFunction
expression = -2*pi*pi*sin(pi*x)*sin(pi*y)-sin(pi*x)*sin(pi*y)
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./all]
type = FunctionPenaltyDirichletBC
variable = u
boundary = 'bottom right top left'
function = bc_fn
penalty = 1e10
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = bc_fn
[../]
[./H1error]
type = ElementH1Error
variable = u
function = bc_fn
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = bc_fn
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
# We use higher-order quadrature to ensure that the forcing function
# is integrated accurately.
[./Quadrature]
order=ELEVENTH
[../]
[]
[Adaptivity]
steps = 2
marker = uniform
[./Markers]
[./uniform]
type = UniformMarker
mark = refine
[../]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
print_mesh_changed_info = 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
[]
(test/tests/dgkernels/3d_diffusion_dg/3d_diffusion_dg_test.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 5
ny = 5
nz = 5
xmin = 0
xmax = 1
ymin = 0
ymax = 1
zmin = 0
zmax = 1
elem_type = HEX8
[]
[Variables]
active = 'u'
[u]
order = FIRST
family = MONOMIAL
[InitialCondition]
type = ConstantIC
value = 0.5
[]
[]
[]
[Functions]
active = 'forcing_fn exact_fn'
[forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[]
[exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[]
[]
[Kernels]
active = 'diff abs forcing'
[diff]
type = Diffusion
variable = u
[]
[abs] # u * v
type = Reaction
variable = u
[]
[forcing]
type = BodyForce
variable = u
function = forcing_fn
[]
[]
[DGKernels]
active = 'dg_diff'
[dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[]
[]
[BCs]
active = 'all'
[all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3 4 5'
function = exact_fn
epsilon = -1
sigma = 6
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Postprocessors]
active = 'h dofs l2_err'
[h]
type = AverageElementSize
execute_on = 'initial timestep_end'
[]
[dofs]
type = NumDOFs
execute_on = 'initial timestep_end'
[]
[l2_err]
type = ElementL2Error
variable = u
function = exact_fn
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
file_base = out
exodus = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/1d-average.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = 1
nx = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet_u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin((1/2)*x*pi) + pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) - '
'1/2*pi*sin((1/2)*x*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '(1/2)*pi*rho*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Outputs]
csv = true
exodus = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/mortar/continuity-3d-non-conforming/continuity_penalty_sphere_hex.i)
[Mesh]
second_order = false
[file]
type = FileMeshGenerator
file = spheres_hex8.e
[]
[secondary]
input = file
type = LowerDBlockFromSidesetGenerator
new_block_id = 11
new_block_name = "secondary"
sidesets = '101'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
new_block_id = 12
new_block_name = "primary"
sidesets = '102'
[]
uniform_refine = 0
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Variables]
[T]
block = '1 2'
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = '1 2'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'x^2 + y^2 + z^2 - 6'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'x^2 + y^2 + z^2'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = '4'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = PenaltyEqualValueConstraint
primary_boundary = 2
secondary_boundary = 1
primary_subdomain = '12'
secondary_subdomain = '11'
secondary_variable = T
correct_edge_dropping = true
penalty_value = 1.e5
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 6'
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = '1 2'
[]
[h]
type = AverageElementSize
block = '1 2'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex.i)
mu = 1.0
rho = 1.0
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
coord_type = 'XYZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = vel_x
v = vel_y
pressure = pressure
[]
[]
[Variables]
[vel_x]
type = INSFVVelocityVariable
initial_condition = 1
face_interp_method = 'skewness-corrected'
[]
[vel_y]
type = INSFVVelocityVariable
initial_condition = 1
face_interp_method = 'skewness-corrected'
[]
[pressure]
type = INSFVPressureVariable
face_interp_method = 'skewness-corrected'
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'skewness-corrected'
velocity_interp_method = 'rc'
rho = ${rho}
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = vel_x
advected_interp_method = 'skewness-corrected'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = vel_x
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = vel_x
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = vel_x
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = vel_y
advected_interp_method = 'skewness-corrected'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = vel_y
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_x
function = '0'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_y
function = '0'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ParsedFunction
expression = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3'
'*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2'
'*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-8
[]
[Outputs]
[out]
type = Exodus
hide = lambda
[]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/cylindrical/advection-diffusion-reaction.i)
a=1.1
diff=1.1
[Mesh]
coord_type = 'RZ'
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
[../]
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
[../]
[]
[FVKernels]
[./advection]
type = FVAdvection
variable = v
velocity = '${a} ${a} 0'
advected_interp_method = 'average'
[../]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[exact]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-a*sin(x)*sin(y) + diff*sin(x)*cos(y) + sin(x)*cos(y) + (x*a*cos(x)*cos(y) + a*sin(x)*cos(y))/x - (-x*diff*sin(x)*cos(y) + diff*cos(x)*cos(y))/x'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/mortar/continuity-3d-non-conforming/continuity_non_conforming_tet.i)
[Mesh]
second_order = false
[file]
type = FileMeshGenerator
file = tet_non_mesh.e
[]
[secondary]
input = file
type = LowerDBlockFromSidesetGenerator
new_block_id = 11
new_block_name = "secondary"
sidesets = '101'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
new_block_id = 12
new_block_name = "primary"
sidesets = '102'
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[T]
block = '1 2'
[]
[lambda]
block = 'secondary'
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = '1 2'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = EqualValueConstraint
primary_boundary = 2
secondary_boundary = 1
primary_subdomain = '12'
secondary_subdomain = '11'
variable = lambda
secondary_variable = T
delta = 0.1
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu basic NONZERO 1e-15'
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = '1 2'
[]
[h]
type = AverageElementSize
block = '1 2'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/rotated/rotated-pp-flow.i)
mu=0.5
rho=1.1
advected_interp_method='average'
velocity_interp_method='average'
two_term_boundary_expansion=true
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 10
ymin = -1
ymax = 1
nx = 10
ny = 2
[]
[rotate]
type = TransformGenerator
input = gen
transform = 'rotate'
vector_value = '45 0 0'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[AuxVariables]
[vel_exact_x][]
[vel_exact_y][]
[p_exact][]
[]
[AuxKernels]
[u_exact]
type = FunctionAux
variable = vel_exact_x
function = exact_u
[]
[v_exact]
type = FunctionAux
variable = vel_exact_y
function = exact_v
[]
[p_exact]
type = FunctionAux
variable = p_exact
function = exact_p
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
variable = u
boundary = 'top bottom'
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
variable = v
boundary = 'top bottom'
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = '0.25*sqrt(2)*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu'
symbol_values = '${mu}'
[]
[exact_rhou]
type = ParsedFunction
expression = '0.25*sqrt(2)*rho*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '0'
[]
[exact_v]
type = ParsedFunction
expression = '0.25*sqrt(2)*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu'
symbol_values = '${mu}'
[]
[exact_rhov]
type = ParsedFunction
expression = '0.25*sqrt(2)*rho*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '0'
[]
[exact_p]
type = ParsedFunction
expression = '-1/2*sqrt(2)*(x + y) + 10.0'
[]
[forcing_p]
type = ParsedFunction
expression = '0'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/level_set/test/tests/kernels/advection/advection_mms.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0
xmax = 12
nx = 48
[]
[Adaptivity]
steps = 5
marker = marker
[./Markers]
[./marker]
type = UniformMarker
mark = REFINE
[../]
[../]
[]
[Variables]
[./phi]
[../]
[]
[AuxVariables]
[./velocity]
family = LAGRANGE_VEC
[../]
[]
[ICs]
[./vel_ic]
type = VectorFunctionIC
variable = velocity
function = velocity_func
[]
[]
[BCs]
[./left]
type = FunctionDirichletBC
boundary = 'left'
function = phi_exact
variable = phi
[../]
[]
[Functions]
[./phi_exact]
type = ParsedFunction
expression = 'a*sin(pi*x/b)*cos(pi*x)'
symbol_names = 'a b'
symbol_values = '2 12'
[../]
[./phi_mms]
type = ParsedFunction
expression = '-2*pi*a*sin(pi*x)*sin(pi*x/b) + 2*pi*a*cos(pi*x)*cos(pi*x/b)/b'
symbol_names = 'a b'
symbol_values = '2 12'
[../]
[./velocity_func]
type = ParsedVectorFunction
expression_x = '2'
expression_y = '2'
[../]
[]
[Kernels]
[./phi_advection]
type = LevelSetAdvection
variable = phi
velocity = velocity
[../]
[./phi_forcing]
type = BodyForce
variable = phi
function = phi_mms
[../]
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = phi_exact
variable = phi
[../]
[./h]
type = AverageElementSize
[../]
[]
[VectorPostprocessors]
active = ''
[./results]
type = LineValueSampler
variable = phi
start_point = '0 0 0'
end_point = '12 0 0'
num_points = 500
sort_by = x
[../]
[]
[Executioner]
type = Steady
nl_rel_tol = 1e-10
solve_type = NEWTON
# A steady-state pure advection problem is numerically challenging,
# it has a zero diagonal in the Jabocian matrix. The following solver
# settings seem to reliably solve this problem.
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
[]
[Outputs]
execute_on = 'TIMESTEP_END'
csv = true
[]
(test/tests/meshgenerators/xy_delaunay_generator/xydelaunay_auto_area_func.i)
[Mesh]
[outer_bdy]
type = ParsedCurveGenerator
x_formula = 'r*cos(t)'
y_formula = 'r*sin(t)'
section_bounding_t_values = '${fparse 0.0} ${fparse pi} ${fparse 2.0*pi}'
constant_names = 'r'
constant_expressions = '1.0'
nums_segments = '8 16'
is_closed_loop = true
[]
[hole_1]
type = PolyLineMeshGenerator
points = '-0.5 -0.1 0.0
-0.3 -0.1 0.0
-0.3 0.1 0.0
-0.5 0.1 0.0'
loop = true
[]
[hole_2]
type = PolyLineMeshGenerator
points = '0.3 -0.1 0.0
0.5 -0.1 0.0
0.5 0.1 0.0
0.3 0.1 0.0'
loop = true
num_edges_between_points = 3
[]
[triang]
type = XYDelaunayGenerator
boundary = 'outer_bdy'
holes = 'hole_1
hole_2'
refine_boundary = false
refine_holes = "false false"
use_auto_area_func = "true"
[]
[]
[Problem]
solve = false
[]
[AuxVariables]
[quality]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[qa]
type = ElementQualityAux
variable = quality
metric = SHAPE
[]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Postprocessors]
[avg_quality]
type = ElementAverageValue
variable = quality
[]
[elem_size]
type = AverageElementSize
[]
[area]
type = VolumePostprocessor
[]
[]
[Outputs]
csv = true
execute_on = 'FINAL'
[]
(tutorials/tutorial03_verification/app/test/tests/step04_mms/2d_mms_spatial.i)
[ICs]
active = 'mms'
[mms]
type = FunctionIC
variable = T
function = mms_exact
[]
[]
[BCs]
active = 'mms'
[mms]
type = FunctionDirichletBC
variable = T
boundary = 'left right top bottom'
function = mms_exact
[]
[]
[Kernels]
[mms]
type = HeatSource
variable = T
function = mms_force
[]
[]
[Functions]
[mms_force]
type = ParsedFunction
expression = 'cp*rho*sin(x*pi)*sin(5*y*pi) + 26*pi^2*k*t*sin(x*pi)*sin(5*y*pi) - shortwave*exp(y*kappa)*sin((1/2)*x*pi)*sin((1/3600)*pi*t/hours)'
symbol_names = 'rho cp k kappa shortwave hours'
symbol_values = '150 2000 0.01 40 650 9'
[]
[mms_exact]
type = ParsedFunction
expression = 't*sin(pi*x)*sin(5*pi*y)'
[]
[]
[Outputs]
csv = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = T
function = mms_exact
[]
[h]
type = AverageElementSize
[]
[]
(test/tests/variables/fe_hier/hier-1-1d.i)
###########################################################
# This is a simple test demonstrating the use of the
# Hierarchic variable type.
#
# @Requirement F3.10
###########################################################
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -1
[../]
[./bc_fnr]
type = ParsedFunction
expression = 1
[../]
[./forcing_fn]
type = ParsedFunction
expression = x
[../]
[./solution]
type = ParsedGradFunction
expression = x
grad_x = 1
[../]
[]
# Hierarchic Variable type
[Variables]
[./u]
order = FIRST
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
nl_rel_tol = 1e-11
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/mortar/convergence-studies/fv-gap-conductance/gap-conductance.i)
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Mesh]
[left_block]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[]
[left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3'
new_boundary = 'lb_bottom lb_right lb_top lb_left'
[]
[left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[]
[right_block]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[]
[right_block_id]
type = SubdomainIDGenerator
input = right_block
subdomain_id = 2
[]
[right_block_change_boundary_id]
type = RenameBoundaryGenerator
input = right_block_id
old_boundary = '0 1 2 3'
new_boundary = '100 101 102 103'
[]
[combined]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_change_boundary_id'
[]
[block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'left_block right_block'
[]
[right_right_sideset]
type = SideSetsAroundSubdomainGenerator
input = block_rename
new_boundary = rb_right
included_subdomains = right_block
normal = '1 0 0'
[]
[right_left_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_right_sideset
new_boundary = rb_left
included_subdomains = right_block
normal = '-1 0 0'
[]
[right_top_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_left_sideset
new_boundary = rb_top
included_subdomains = right_block
normal = '0 1 0'
[]
[right_bottom_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_top_sideset
new_boundary = rb_bottom
included_subdomains = right_block
normal = '0 -1 0'
[]
[secondary]
input = right_bottom_sideset
type = LowerDBlockFromSidesetGenerator
sidesets = 'lb_right'
new_block_id = '10001'
new_block_name = 'secondary_lower'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'rb_left'
new_block_id = '10000'
new_block_name = 'primary_lower'
[]
[]
[Variables]
[T]
block = 'left_block right_block'
type = MooseVariableFVReal
[]
[lambda]
block = 'secondary_lower'
family = MONOMIAL
order = CONSTANT
[]
[]
[FVBCs]
[neumann]
type = FVFunctionDirichletBC
function = exact_soln_primal
variable = T
boundary = 'lb_bottom lb_top lb_left rb_bottom rb_right rb_top'
[]
[]
[FVKernels]
[conduction]
type = FVDiffusion
variable = T
block = 'left_block right_block'
coeff = 1
[]
[sink]
type = FVReaction
variable = T
block = 'left_block right_block'
[]
[forcing_function]
type = FVBodyForce
variable = T
function = forcing_function
block = 'left_block right_block'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = ''
[]
[exact_soln_primal]
type = ParsedFunction
expression = ''
[]
[exact_soln_lambda]
type = ParsedFunction
expression = ''
[]
[mms_secondary]
type = ParsedFunction
expression = ''
[]
[mms_primary]
type = ParsedFunction
expression = ''
[]
[]
[Constraints]
[mortar]
type = GapHeatConductanceTest
primary_boundary = rb_left
secondary_boundary = lb_right
primary_subdomain = primary_lower
secondary_subdomain = secondary_lower
secondary_variable = T
variable = lambda
secondary_gap_conductance = 1
primary_gap_conductance = 1
secondary_mms_function = mms_secondary
primary_mms_function = mms_primary
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary_lower'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = 'left_block right_block'
[]
[h]
type = AverageElementSize
block = 'left_block right_block'
[]
[]
(test/tests/variables/fe_monomial_const/monomial-const-1d.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 100
elem_type = EDGE3
[]
[Functions]
[./bc_fn]
type=ParsedFunction
expression=0
[../]
[./forcing_fn]
type = MTPiecewiseConst1D
[../]
[./solution]
type = MTPiecewiseConst1D
[../]
[]
[Variables]
[./u]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
# Note: MOOSE's DirichletBCs do not work properly with shape functions that do not
# have DOFs at the element edges. This test works because the solution
# has been designed to be zero at the boundary which is satisfied by the IC
# Ticket #1352
active = ''
[./bc_all]
type=FunctionDirichletBC
variable = u
boundary = 'left right'
function = bc_fn
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1.e-9
[./Adaptivity]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[]
(modules/level_set/test/tests/verification/1d_level_set_mms/level_set_mms.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0
xmax = 32
nx = 64
uniform_refine = 0
[]
[Variables]
[./phi]
[../]
[]
[AuxVariables]
[./velocity]
family = LAGRANGE_VEC
[../]
[]
[ICs]
[./phi_ic]
function = phi_exact
variable = phi
type = FunctionIC
[../]
[./vel_ic]
type = VectorFunctionIC
variable = velocity
function = velocity_func
[]
[]
[Functions]
[./phi_exact]
type = ParsedFunction
expression = 'a*exp(1/(10*t))*sin(2*pi*x/b) + 1'
symbol_names = 'a b'
symbol_values = '1 8'
[../]
[./phi_mms]
type = ParsedFunction
expression = '-a*exp(1/(10*t))*sin(2*pi*x/b)/(10*t^2) + 2*pi*a*exp(1/(10*t))*cos(2*pi*x/b)/b'
symbol_names = 'a b'
symbol_values = '1 8'
[../]
[./velocity_func]
type = ParsedVectorFunction
expression_x = '1'
expression_y = '1'
[../]
[]
[Kernels]
[./phi_advection]
type = LevelSetAdvection
variable = phi
velocity = velocity
[../]
[./phi_time]
type = TimeDerivative
variable = phi
[../]
[./phi_forcing]
type = BodyForce
variable = phi
function = phi_mms
[../]
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = phi_exact
variable = phi
[../]
[./h]
type = AverageElementSize
[../]
[./point]
type = PointValue
point = '0.1 0 0'
variable = phi
[../]
[]
[Executioner]
type = Transient
start_time = 1
dt = 0.01
end_time = 1.25
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_sub_type'
petsc_options_value = 'asm ilu'
scheme = bdf2
nl_rel_tol = 1e-12
[]
[Outputs]
time_step_interval = 10
execute_on = 'timestep_end'
csv = true
[]
(test/tests/variables/fe_hier/hier-2-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 1
ny = 1
nz = 1
elem_type = HEX27
# This problem only has 1 element, so using DistributedMesh in parallel
# isn't really an option, and we don't care that much about DistributedMesh
# in serial.
parallel_type = replicated
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 2*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -2*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -2*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 2*x
[../]
[./bc_fnf]
type = ParsedFunction
expression = 2*z
[../]
[./bc_fnk]
type = ParsedFunction
expression = -2*z
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6+x*x+y*y+z*z
[../]
[./solution]
type = ParsedGradFunction
expression = x*x+y*y+z*z
grad_x = 2*x
grad_y = 2*y
grad_z = 2*z
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
nl_rel_tol = 1e-11
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/rc.i)
mu=1.1
rho=1.1
[GlobalParams]
two_term_boundary_expansion = false
rhie_chow_user_object = 'rc'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
error_on_jacobian_nonzero_reallocation = true
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'average'
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = 'average'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = 'average'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = v
function = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(y)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(y)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*sin(y)*cos((1/2)*x*pi) + (1/4)*pi^2*mu*sin(y)*cos((1/2)*x*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*y*pi)*cos((1/2)*x*pi) + rho*sin(x)*cos(y)*cos((1/2)*x*pi)*cos((1/2)*y*pi) - pi*rho*sin(y)^2*sin((1/2)*x*pi)*cos((1/2)*x*pi) + sin(y)*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin(x)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin(x)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'mu*sin(x)*cos((1/2)*y*pi) + (1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*x*pi)*cos((1/2)*y*pi) + rho*sin(y)*cos(x)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + sin(x)*cos(y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)*sin(y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin(x)*sin((1/2)*y*pi) - 1/2*pi*rho*sin(y)*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
approximate = v
exact = exact_v
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(test/tests/hdgkernels/diffusion/mms-diffusion.i)
[GlobalParams]
variable = face_u
u = u
grad_u = grad_u
face_u = face_u
diffusivity = 1
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
elem_type = TRI6
[]
[]
[Variables]
[face_u]
family = SIDE_HIERARCHIC
[]
[]
[AuxVariables]
[u]
family = L2_LAGRANGE
[]
[grad_u]
family = L2_LAGRANGE_VEC
[]
[]
[HDGKernels]
[diff]
type = DiffusionHDGKernel
source = 'forcing'
[]
[]
[HDGBCs]
[all]
type = DiffusionHDGDirichletBC
boundary = 'left right top bottom'
functor = 'exact'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(.5*pi*x)*sin(.5*pi*y)'
[]
[forcing]
type = ParsedFunction
expression = '.5*pi*.5*pi*cos(.5*pi*x)*sin(.5*pi*y) + .5*pi*.5*pi*cos(.5*pi*x)*sin(.5*pi*y)'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
line_search = 'basic'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex-action.i)
mu = 1.0
rho = 1.0
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
[]
[Modules]
[NavierStokesFV]
compressibility = 'incompressible'
density = 'rho'
dynamic_viscosity = 'mu'
wall_boundaries = 'top left right bottom'
momentum_wall_types = 'noslip noslip noslip noslip'
initial_velocity = '1 1 0'
pin_pressure = true
pinned_pressure_type = average
pinned_pressure_value = 0
momentum_face_interpolation = skewness-corrected
pressure_face_interpolation = skewness-corrected
momentum_advection_interpolation = skewness-corrected
mass_advection_interpolation = skewness-corrected
[]
[]
[FVKernels]
[u_forcing]
type = INSFVBodyForce
variable = vel_x
functor = forcing_u
momentum_component = 'x'
rhie_chow_user_object = 'ins_rhie_chow_interpolator'
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
rhie_chow_user_object = 'ins_rhie_chow_interpolator'
[]
[]
[FunctorMaterials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'rho mu'
prop_values = '${rho} ${mu}'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ParsedFunction
expression = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3'
'*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2'
'*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-8
[]
[Outputs]
[out]
type = Exodus
hide = lambda
[]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = vel_x
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = vel_y
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/outputs/debug/show_var_residual_norms_debug.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[]
[forcing_fnv]
type = ParsedFunction
expression = -4
[]
[slnu]
type = ParsedGradFunction
expression = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
#NeumannBC functions
[bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[]
[]
[Variables]
[u]
order = THIRD
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
[]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[diff1]
type = Diffusion
variable = u
[]
[test1]
type = CoupledConvection
variable = u
velocity_vector = v
[]
[diff2]
type = Diffusion
variable = v
[]
[react]
type = Reaction
variable = u
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[BCs]
active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
[bc_u]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[]
[bc_u_lr]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[]
[bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[]
[bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[]
[bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[]
[bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[]
[bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[]
[]
[Preconditioning]
active = ' '
[prec]
type = SMP
full = true
[]
[]
[Postprocessors]
active = 'L2u L2v'
[dofs]
type = NumDOFs
[]
[h]
type = AverageElementSize
[]
[L2u]
type = ElementL2Error
variable = u
function = slnu
[]
[L2v]
type = ElementL2Error
variable = v
function = slnv
[]
[H1error]
type = ElementH1Error
variable = u
function = solution
[]
[H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Outputs]
execute_on = 'timestep_end'
[]
[Debug]
show_var_residual_norms = 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
[]
(test/tests/fvkernels/mms/grad-reconstruction/mat-cartesian.i)
a=1.1
diff=1.1
[Mesh]
[gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[]
[Variables]
[v]
type = MooseVariableFVReal
initial_condition = 1
[]
[]
[FVKernels]
[advection]
type = FVElementalAdvection
variable = v
velocity = '${a} ${fparse 2 * a} 0'
advected_quantity = 'mat_u'
grad_advected_quantity = 'mat_grad_u'
[]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[diri]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Materials]
[mat]
type = ADCoupledGradientMaterial
mat_prop = 'mat_u'
grad_mat_prop = 'mat_grad_u'
u = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/cylindrical/diffusion.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
coord_type = 'RZ'
[]
[Variables]
[v]
family = MONOMIAL
order = CONSTANT
fv = true
[]
[]
[FVKernels]
[diff_v]
type = FVDiffusion
variable = v
coeff = coeff
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[boundary]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '1'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = '1.1*sin(0.9*x)*cos(1.2*y)'
[]
[forcing]
type = ParsedFunction
expression = '1.584*sin(0.9*x)*cos(1.2*y) - (-0.891*x*sin(0.9*x)*cos(1.2*y) + 0.99*cos(0.9*x)*cos(1.2*y))/x'
[]
[]
[Executioner]
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/variables/fe_hier/hier-1-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 1
[../]
[./bc_fnb]
type = ParsedFunction
expression = -1
[../]
[./bc_fnl]
type = ParsedFunction
expression = -1
[../]
[./bc_fnr]
type = ParsedFunction
expression = 1
[../]
[./forcing_fn]
type = ParsedFunction
expression = x+y
[../]
[./solution]
type = ParsedGradFunction
expression = x+y
grad_x = 1
grad_y = 1
[../]
[]
[Variables]
[./u]
order = FIRST
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(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/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/basic-conserved-pcnsfv-kt.i)
[GlobalParams]
fp = fp
limiter = 'central_difference'
two_term_boundary_expansion = true
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[rho]
type = MooseVariableFVReal
[]
[rho_ud]
type = MooseVariableFVReal
[]
[rho_et]
type = MooseVariableFVReal
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = rho
function = 'exact_rho'
[]
[sup_vel_x]
type = FunctionIC
variable = rho_ud
function = 'exact_rho_ud'
[]
[T_fluid]
type = FunctionIC
variable = rho_et
function = 'exact_rho_et'
[]
[]
[FVKernels]
[mass_advection]
type = PCNSFVKT
variable = rho
eqn = "mass"
[]
[mass_fn]
type = FVBodyForce
variable = rho
function = 'forcing_rho'
[]
[momentum_x_advection]
type = PCNSFVKT
variable = rho_ud
momentum_component = x
eqn = "momentum"
[]
[momentum_fn]
type = FVBodyForce
variable = rho_ud
function = 'forcing_rho_ud'
[]
[fluid_energy_advection]
type = PCNSFVKT
variable = rho_et
eqn = "energy"
[]
[energy_fn]
type = FVBodyForce
variable = rho_et
function = 'forcing_rho_et'
[]
[]
[FVBCs]
[mass_left]
variable = rho
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'mass'
[]
[momentum_left]
variable = rho_ud
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'momentum'
momentum_component = 'x'
[]
[energy_left]
variable = rho_et
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'energy'
[]
[mass_right]
variable = rho
type = PCNSFVStrongBC
boundary = right
eqn = 'mass'
pressure = 'exact_p'
[]
[momentum_right]
variable = rho_ud
type = PCNSFVStrongBC
boundary = right
eqn = 'momentum'
momentum_component = 'x'
pressure = 'exact_p'
[]
[energy_right]
variable = rho_et
type = PCNSFVStrongBC
boundary = right
eqn = 'energy'
pressure = 'exact_p'
[]
# help gradient reconstruction
[rho_right]
type = FVFunctionDirichletBC
variable = rho
function = exact_rho
boundary = 'right'
[]
[rho_ud_left]
type = FVFunctionDirichletBC
variable = rho_ud
function = exact_rho_ud
boundary = 'left'
[]
[rho_et_left]
type = FVFunctionDirichletBC
variable = rho_et
function = exact_rho_et
boundary = 'left'
[]
[]
[Materials]
[var_mat]
type = PorousConservedVarMaterial
rho = rho
superficial_rhou = rho_ud
rho_et = rho_et
porosity = porosity
[]
[porosity]
type = GenericFunctionMaterial
prop_names = 'porosity'
prop_values = 'eps'
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.45300378856215*sin(1.1*x)'
[]
[exact_rho_ud]
type = ParsedFunction
expression = '3.13909435323832*cos(1.1*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '-0.9*(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + 0.9*(10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) + 3.13909435323832*sin(x)*cos(1.1*x)^2/cos(x)^2 - 6.9060075771243*sin(1.1*x)*cos(1.1*x)/cos(x)'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.2*x)'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '0.9*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(x)*cos(1.1*x)/cos(x)^2 - 0.99*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(1.1*x)/cos(x) + 0.9*(-(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) - 32.0927295688256*sin(1.2*x))*cos(1.1*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_eps_p]
type = ParsedFunction
expression = '3.13909435323832*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '0.9*cos(1.1*x)/cos(x)'
[]
[exact_superficial_velocity]
type = ParsedVectorFunction
expression_x = '0.9*cos(1.1*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = '0.9'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Transient
num_steps = 1
dtmin = 1
petsc_options = '-snes_linesearch_monitor'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho]
type = ElementL2Error
variable = rho
function = exact_rho
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho_ud]
variable = rho_ud
function = exact_rho_ud
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho_et]
variable = rho_et
function = exact_rho_et
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fviks/one-var-diffusion/test.i)
L = 2
l = 1
q1 = 1
q2 = 2
uR = 1
D1 = 1
D2 = 2
ul = '${fparse 1/D2*(D2*uR+q2*L*L/2-q2*l*l/2-l*(q2-q1)*L+l*l*(q2-q1))}'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
nx = 10
xmax = ${L}
[]
[subdomain1]
input = gen
type = SubdomainBoundingBoxGenerator
bottom_left = '${l} 0 0'
block_id = 1
top_right = '${L} 1.0 0'
[]
[interface_primary_side]
input = subdomain1
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'primary_interface'
[]
[interface_secondary_side]
input = interface_primary_side
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'secondary_interface'
[]
[]
[Variables]
[u]
type = MooseVariableFVReal
[]
[v]
type = MooseVariableFVReal
block = 0
[]
[w]
type = MooseVariableFVReal
block = 1
[]
[]
[FVKernels]
[diff_left]
type = FVDiffusion
variable = u
coeff = 'left'
block = 0
[]
[diff_right]
type = FVDiffusion
variable = u
coeff = 'right'
block = 1
[]
[source_left]
type = FVBodyForce
variable = u
function = ${q1}
block = 0
[]
[source_right]
type = FVBodyForce
variable = u
function = ${q2}
block = 1
[]
[diff_v]
type = FVDiffusion
variable = v
block = 0
coeff = 'left'
[]
[diff_w]
type = FVDiffusion
variable = w
block = 1
coeff = 'right'
[]
[]
[FVInterfaceKernels]
active = 'interface'
[interface]
type = FVOneVarDiffusionInterface
variable1 = u
boundary = primary_interface
subdomain1 = '0'
subdomain2 = '1'
coeff1 = 'left'
coeff2 = 'right'
coeff_interp_method = average
[]
[bad1]
type = FVOneVarDiffusionInterface
variable1 = w
variable2 = u
boundary = primary_interface
subdomain1 = '0'
subdomain2 = '1'
coeff1 = 'left'
coeff2 = 'right'
coeff_interp_method = average
[]
[bad2]
type = FVOneVarDiffusionInterface
variable1 = u
variable2 = v
boundary = primary_interface
subdomain1 = '0'
subdomain2 = '1'
coeff1 = 'left'
coeff2 = 'right'
coeff_interp_method = average
[]
[bad3]
type = FVOneVarDiffusionInterface
variable1 = v
boundary = primary_interface
subdomain1 = '0'
subdomain2 = '1'
coeff1 = 'left'
coeff2 = 'right'
coeff_interp_method = average
[]
[]
[FVBCs]
[right]
type = FVDirichletBC
variable = u
boundary = 'right'
value = ${uR}
[]
[v_left]
type = FVDirichletBC
variable = v
boundary = 'left'
value = 1
[]
[v_right]
type = FVDirichletBC
variable = v
boundary = 'primary_interface'
value = 0
[]
[w_left]
type = FVDirichletBC
variable = w
boundary = 'secondary_interface'
value = 1
[]
[w_right]
type = FVDirichletBC
variable = w
boundary = 'right'
value = 0
[]
[]
[Materials]
[block0]
type = ADGenericFunctorMaterial
block = '0'
prop_names = 'left'
prop_values = '${D1}'
[]
[block1]
type = ADGenericFunctorMaterial
block = '1'
prop_names = 'right'
prop_values = '${D2}'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
[]
[Outputs]
exodus = true
csv = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'if(x<${l}, 1/${D1}*(${fparse D1*ul+q1*l*l/2}-${fparse q1/2}*x*x),-1/${D2}*(${fparse -D2*ul-q2*l*l/2}+${fparse q2/2}*x*x-${fparse l*(q2-q1)}*x+${fparse l*l*(q2-q1)}))'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(python/mms/test/mms_spatial.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 8
ny = 8
[]
[Variables]
[u][]
[]
[Kernels]
[diff]
type = ADDiffusion
variable = u
[]
[force]
type = BodyForce
variable = u
function = force
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(2*pi*x)*sin(2*pi*y)'
[]
[force]
type = ParsedFunction
expression = '8*pi^2*sin(2*x*pi)*sin(2*y*pi)'
[]
[]
[BCs]
[all]
type = FunctionDirichletBC
variable = u
function = exact
boundary = 'left right top bottom'
[]
[]
[Postprocessors]
[error]
type = ElementL2Error
function = exact
variable = u
[]
[h]
type = AverageElementSize
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
csv = true
[]
(test/tests/linearfvkernels/advection/advection-1d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 2
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method = upwind
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[inflow]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = false
[]
[]
[Functions]
[source_func]
type = ParsedFunction
expression = '0.5*x'
[]
[analytic_solution]
type = ParsedFunction
expression = '0.5+0.5*x*x'
[]
[]
[Postprocessors]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
number_of_iterations = 1
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/fvkernels/mms/non-orthogonal/extended-adr.i)
a=1.1
diff=1.1
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = TRI3
[../]
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
type = MooseVariableFVReal
face_interp_method = vertex-based
[../]
[]
[FVKernels]
[./advection]
type = FVAdvection
variable = v
velocity = '${a} ${fparse 2*a} 0'
advected_interp_method = 'average'
[../]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
use_point_neighbors = true
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[exact]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type'
petsc_options_value = 'hypre'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/advective-outflow/advection-diffusion.i)
diff=1
a=1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = -1
xmax = 0
nx = 2
[../]
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
[../]
[]
[FVKernels]
[./advection]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
force_boundary_execution = true
[../]
[./diffusion]
type = FVDiffusion
variable = v
coeff = coeff
[../]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[left]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = v
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '${diff}'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing]
type = ParsedFunction
expression = 'cos(x) - sin(x)'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_element/ins/hdg/mms/channel.i)
mu=1.1
rho=1.1
[GlobalParams]
variable = face_vel_x
u = vel_x
v = vel_y
grad_u = grad_vel_x
grad_v = grad_vel_y
face_u = face_vel_x
face_v = face_vel_y
pressure = p
mu = ${mu}
rho = ${rho}
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
elem_type = TRI6
[]
[]
[Variables]
[face_vel_x]
family = SIDE_HIERARCHIC
[]
[face_vel_y]
family = SIDE_HIERARCHIC
[]
[p]
family = L2_LAGRANGE
[]
[]
[AuxVariables]
[vel_x]
family = L2_LAGRANGE
[]
[vel_y]
family = L2_LAGRANGE
[]
[grad_vel_x]
family = L2_LAGRANGE_VEC
[]
[grad_vel_y]
family = L2_LAGRANGE_VEC
[]
[]
[HDGKernels]
[ns]
type = NavierStokesHDGKernel
body_force_x = forcing_u
body_force_y = forcing_v
pressure_mms_forcing_function = forcing_p
[]
[]
[HDGBCs]
[exact]
type = NavierStokesHDGVelocityDirichletBC
boundary = 'left bottom top'
dirichlet_u = 'exact_u'
dirichlet_v = 'exact_v'
[]
[right]
type = NavierStokesHDGOutflowBC
boundary = 'right'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - 1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + (3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
line_search = 'basic'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = vel_x
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
variable = vel_y
function = exact_v
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = p
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/linearfvkernels/diffusion/diffusion-2d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 1
ymax = 0.5
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = coeff_func
use_nonorthogonal_correction = false
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right top bottom"
functor = analytic_solution
[]
[]
[Functions]
[coeff_func]
type = ParsedFunction
expression = '1+0.5*x*y'
[]
[source_func]
type = ParsedFunction
expression = '2*(1.5-y*y)+2*x*y*(1.5-y*y)+2*(1.5-x*x)+2*x*y*(1.5-x*x)'
[]
[analytic_solution]
type = ParsedFunction
expression = '(1.5-x*x)*(1.5-y*y)'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(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/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average-with-temp.i)
mu = 1.1
rho = 1.1
k = 1.1
cp = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[temperature]
type = INSFVEnergyVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[temp_conduction]
type = FVDiffusion
coeff = 'k'
variable = temperature
[]
[temp_advection]
type = INSFVEnergyAdvection
variable = temperature
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
[]
[temp_forcing]
type = FVBodyForce
variable = temperature
function = forcing_t
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[inlet-and-walls-t]
type = FVFunctionDirichletBC
boundary = 'left top bottom'
variable = temperature
function = 'exact_t'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[FunctorMaterials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'k cp'
prop_values = '${k} ${cp}'
[]
[ins_fv]
type = INSFVEnthalpyFunctorMaterial
temperature = 'temperature'
rho = ${rho}
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[exact_t]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_t]
type = ParsedFunction
expression = '-pi*cp*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*cp*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*cp*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(5/16)*pi^2*k*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'k rho cp'
symbol_values = '${k} ${rho} ${cp}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2t]
variable = temperature
function = exact_t
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/variables/fe_hermite_convergence/hermite_converge_periodic.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 4
ny = 4
elem_type = QUAD4
# This test will not work in parallel with DistributedMesh enabled
# due to a bug in PeriodicBCs.
parallel_type = replicated
[]
[Functions]
[./bc_fn]
type = ParsedGradFunction
value = -sin(pi*x)*sin(pi*y)
grad_x = -pi*cos(pi*x)*sin(pi*y)
grad_y = -pi*sin(pi*x)*cos(pi*y)
[../]
[./bc_fnt]
type = ParsedFunction
expression = -pi*sin(pi*x)*cos(pi*y)
[../]
[./bc_fnb]
type = ParsedFunction
expression = pi*sin(pi*x)*cos(pi*y)
[../]
[./forcing_fn]
type = ParsedFunction
expression = -2*pi*pi*sin(pi*x)*sin(pi*y)-sin(pi*x)*sin(pi*y)
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./Periodic]
[./all]
variable = u
auto_direction= 'x y'
[../]
[../]
[./bc_top]
type=FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type=FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = bc_fn
[../]
[./H1error]
type = ElementH1Error
variable = u
function = bc_fn
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = bc_fn
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
# We use higher-order quadrature to ensure that the forcing function
# is integrated accurately.
[./Quadrature]
order=ELEVENTH
[../]
[]
[Adaptivity]
steps = 2
marker = uniform
[./Markers]
[./uniform]
type = UniformMarker
mark = refine
[../]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
print_mesh_changed_info = true
[]
(test/tests/variables/fe_hier/hier-3-1d.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x+(x*x*x)
[../]
[./solution]
type = ParsedGradFunction
expression = x*x*x
grad_x = 3*x*x
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/linearfvkernels/block-restriction/block-restricted-diffusion.i)
[Mesh]
[cmg]
type = CartesianMeshGenerator
dim = 2
dx = '0.1 1 0.1'
dy = '0.1 0.5 0.1'
ix = '1 2 1'
iy = '1 1 1'
subdomain_id = '1 1 1 1 2 3 1 1 1'
[]
[transform]
type = TransformGenerator
input = cmg
transform = TRANSLATE
vector_value = '-0.1 -0.1 0.0'
[]
[create_sides]
type = SideSetsBetweenSubdomainsGenerator
input = transform
new_boundary = sides
primary_block = 2
paired_block = 1
[]
[create_outlet]
type = SideSetsBetweenSubdomainsGenerator
input = create_sides
new_boundary = outlet
primary_block = 2
paired_block = 3
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
block = 2
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = diff_coeff_func
use_nonorthogonal_correction = false
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "sides outlet"
functor = analytic_solution
[]
[]
[Functions]
[diff_coeff_func]
type = ParsedFunction
expression = '1.0+0.5*x*y'
[]
[source_func]
type = ParsedFunction
expression = '-1.0*x*pi*sin(x*pi)*cos(2*y*pi) - 0.5*y*pi*sin(2*y*pi)*cos(x*pi) + 5*pi^2*(0.5*x*y + 1.0)*sin(x*pi)*sin(2*y*pi)'
[]
[analytic_solution]
type = ParsedFunction
expression = 'sin(x*pi)*sin(2*y*pi) + 1.5'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
block = 2
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
block = 2
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/fvkernels/mms/diffusion.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 2
[]
[Variables]
# [u]
# []
[v]
family = MONOMIAL
order = CONSTANT
fv = true
[]
[]
[FVKernels]
[diff_v]
type = FVDiffusion
variable = v
coeff = coeff
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[boundary]
type = FVFunctionDirichletBC
boundary = 'left right'
function = 'exact'
variable = v
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '1'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = '3*x^2 + 2*x + 1'
[]
[forcing]
type = ParsedFunction
expression = '-6'
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
# [./L2u]
# type = ElementL2Error
# variable = u
# function = exact
# outputs = 'console'
# execute_on = 'timestep_end'
# [../]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/fv_adapt/steady-adapt.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 1
elem_type = QUAD4
[]
[]
[Variables]
[u]
order = CONSTANT
family = MONOMIAL
fv = true
type = MooseVariableFVReal
[]
[]
[Functions]
[exact-quadratic]
type = ParsedFunction
expression = '-(x-1)^2+1'
[]
[exact-linear]
type = ParsedFunction
expression = 'x'
[]
[]
[FVKernels]
inactive = 'source'
[diff]
type = FVDiffusion
variable = u
coeff = coeff
use_point_neighbors = true
[]
[source]
type = FVBodyForce
variable = u
function = 2
[]
[]
[FVBCs]
[right]
type = FVDirichletBC
variable = u
boundary = right
value = 1
[]
[left]
type = FVDirichletBC
variable = u
boundary = left
value = 0
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '1'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type'
petsc_options_value = 'hypre'
[]
[Adaptivity]
marker = box
initial_steps = 1
[Markers]
[box]
bottom_left = '0.5 0 0'
inside = refine
top_right = '1 1 0'
outside = do_nothing
type = BoxMarker
[]
[]
[]
[Outputs]
exodus = true
csv = true
[console]
type = Console
system_info = 'framework mesh aux nonlinear relationship execution'
[]
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = u
function = exact-linear
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/advective-outflow/advection-outflow.i)
a=1.1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = 1.1
nx = 2
[../]
[]
[Variables]
[./u]
family = MONOMIAL
order = CONSTANT
fv = true
two_term_boundary_expansion = false
type = MooseVariableFVReal
[../]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
two_term_boundary_expansion = true
type = MooseVariableFVReal
[../]
[]
[FVKernels]
[./advection_u]
type = FVAdvection
variable = u
velocity = '${a} 0 0'
[../]
[body_u]
type = FVBodyForce
variable = u
function = 'forcing'
[]
[./advection_v]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
[../]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = u
[]
[right_u]
type = FVConstantScalarOutflowBC
variable = u
velocity = '${a} 0 0'
boundary = 'right'
[]
[left_v]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = v
[]
[right_v]
type = FVConstantScalarOutflowBC
variable = v
velocity = '${a} 0 0'
boundary = 'right'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing]
type = ParsedFunction
expression = '-${a} * sin(x)'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO mumps'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/grad-reconstruction/cartesian.i)
a=1.1
diff=1.1
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[../]
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
[../]
[]
[FVKernels]
[./advection]
type = FVElementalAdvection
variable = v
velocity = '${a} ${fparse 2 * a} 0'
[../]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[diri]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average-with-temp.i)
mu=1.1
rho=1.1
k=1.1
cp=1.1
advected_interp_method='average'
velocity_interp_method='average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[temperature]
type = INSFVEnergyVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[temp_conduction]
type = FVDiffusion
coeff = 'k'
variable = temperature
[]
[temp_advection]
type = INSFVEnergyAdvection
variable = temperature
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
[]
[temp_forcing]
type = FVBodyForce
variable = temperature
function = forcing_t
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
function = 'exact_v'
[]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = v
function = 'exact_v'
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'top'
variable = pressure
function = 'exact_p'
[]
[axis-u]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = x
[]
[axis-v]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[axis-inlet-wall-t]
type = FVFunctionDirichletBC
boundary = 'left bottom right'
variable = temperature
function = 'exact_t'
[]
[]
[FunctorMaterials]
[const_functor]
type = ADGenericFunctorMaterial
prop_names = 'cp k'
prop_values = '${cp} ${k}'
[]
[ins_fv]
type = INSFVEnthalpyFunctorMaterial
temperature = 'temperature'
rho = ${rho}
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) - pi*sin(x*pi)*cos((1/2)*y*pi) + (4*x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2*cos(x*pi) + rho*sin(x*pi)^4*sin((1/2)*y*pi)^2)/x + (-x*pi*rho*sin(x*pi)^2*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*rho*sin(x*pi)^2*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x - (-2*x*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) + 2*x*pi^2*mu*sin((1/2)*y*pi)*cos(x*pi)^2 + 2*pi*mu*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1/2*pi*sin((1/2)*y*pi)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)*cos(y*pi) + 2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi)^2*cos(y*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[exact_t]
type = ParsedFunction
expression = 'sin(x*pi)*sin((1/2)*y*pi)'
[]
[forcing_t]
type = ParsedFunction
expression = '(1/4)*pi^2*k*sin(x*pi)*sin((1/2)*y*pi) - (-x*pi^2*k*sin(x*pi)*sin((1/2)*y*pi) + pi*k*sin((1/2)*y*pi)*cos(x*pi))/x + (3*x*pi*cp*rho*sin(x*pi)^2*sin((1/2)*y*pi)^2*cos(x*pi) + cp*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2)/x + (-x*pi*cp*rho*sin(x*pi)*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*cp*rho*sin(x*pi)*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x'
symbol_names = 'k rho cp'
symbol_values = '${k} ${rho} ${cp}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2t]
approximate = temperature
exact = exact_t
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(test/tests/linearfvkernels/block-restriction/block-restricted-diffusion-react.i)
source=1
diff_coeff=2
reac_coeff=3
[Mesh]
[cmg]
type = CartesianMeshGenerator
dim = 1
dx = '0.5 0.5'
ix = '20 20'
subdomain_id = '1 2'
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = ${diff_coeff}
use_nonorthogonal_correction = false
block = 1
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = ${reac_coeff}
block = 2
[]
[source]
type = LinearFVSource
variable = u
source_density = ${source}
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left"
functor = 0
[]
[]
[Functions]
[analytic_solution]
type = ParsedFunction
expression = 'if(x<0.5, -x*x*S/2/D+(S/C+0.5*0.5/2/D*S)/0.5*x, S/C)'
symbol_names = 'S D C'
symbol_values = '${source} ${diff_coeff} ${reac_coeff}'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
block = 2
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
block = 2
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(modules/navier_stokes/test/tests/finite_element/ins/cg-dg-hybrid/mms/lid-driven-skewed/hybrid-skewed-vortex.i)
rho=1
mu=1
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
[corner_node]
type = ExtraNodesetGenerator
new_boundary = 'pinned_node'
nodes = '0'
input = gen_mesh
[]
[]
[Variables]
[u]
family = MONOMIAL
order = SECOND
[]
[v]
family = MONOMIAL
order = SECOND
[]
[pressure][]
[]
[Kernels]
[momentum_x_convection]
type = ADConservativeAdvection
variable = u
velocity = 'velocity'
[]
[momentum_x_diffusion]
type = Diffusion
variable = u
[]
[momentum_x_pressure]
type = PressureGradient
integrate_p_by_parts = false
variable = u
pressure = pressure
component = 0
[]
[u_forcing]
type = BodyForce
variable = u
function = forcing_u
[]
[momentum_y_convection]
type = ADConservativeAdvection
variable = v
velocity = 'velocity'
[]
[momentum_y_diffusion]
type = Diffusion
variable = v
[]
[momentum_y_pressure]
type = PressureGradient
integrate_p_by_parts = false
variable = v
pressure = pressure
component = 1
[]
[v_forcing]
type = BodyForce
variable = v
function = forcing_v
[]
[mass]
type = ADConservativeAdvection
variable = pressure
velocity = velocity
advected_quantity = -1
[]
[]
[DGKernels]
[momentum_x_convection]
type = ADDGAdvection
variable = u
velocity = 'velocity'
[]
[momentum_x_diffusion]
type = DGDiffusion
variable = u
sigma = 6
epsilon = -1
[]
[momentum_y_convection]
type = ADDGAdvection
variable = v
velocity = 'velocity'
[]
[momentum_y_diffusion]
type = DGDiffusion
variable = v
sigma = 6
epsilon = -1
[]
[]
[BCs]
[u_walls]
type = DGFunctionDiffusionDirichletBC
boundary = 'left bottom right top'
variable = u
sigma = 6
epsilon = -1
function = exact_u
[]
[v_walls]
type = DGFunctionDiffusionDirichletBC
boundary = 'left bottom right top'
variable = v
sigma = 6
epsilon = -1
function = exact_v
[]
[pressure_pin]
type = FunctionDirichletBC
variable = pressure
boundary = 'pinned_node'
function = 'exact_p'
[]
[]
[Materials]
[rho]
type = ADGenericConstantMaterial
prop_names = 'rho'
prop_values = '${rho}'
[]
[vel]
type = ADVectorFromComponentVariablesMaterial
vector_prop_name = 'velocity'
u = u
v = v
[]
[rhou]
type = ADParsedMaterial
property_name = 'rhou'
coupled_variables = 'u'
material_property_names = 'rho'
expression = 'rho*u'
[]
[rhov]
type = ADParsedMaterial
property_name = 'rhov'
coupled_variables = 'v'
material_property_names = 'rho'
expression = 'rho*v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ParsedFunction
expression = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3'
'*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2'
'*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO mumps'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
variable = v
function = exact_v
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/variables/fe_hier/hier-2-1d.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -2*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 2*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -2+x*x
[../]
[./solution]
type = ParsedGradFunction
expression = x*x
grad_x = 2*x
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/lid-mesh-velocity/1d-simplified.i)
mu=1.1
rho=1.1
[GlobalParams]
rhie_chow_user_object = 'rc'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
pressure = pressure
disp_x = disp_x
use_displaced_mesh = true
[]
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
xmin = -1
xmax = 1
nx = 2
[]
displacements = 'disp_x'
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[]
[AuxVariables]
[disp_x][]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[pressure]
type = FunctionIC
function = 'x^3'
variable = pressure
[]
[]
[AuxKernels]
[disp_x]
type = FunctionAux
function = exact_disp_x
variable = disp_x
execute_on = 'initial timestep_begin'
[]
[]
[FVKernels]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = 'average'
rho = ${rho}
momentum_component = 'x'
use_displaced_mesh = true
boundaries_to_force = 'left right'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
use_displaced_mesh = true
[]
[u_mesh_advection]
type = INSFVMomentumMeshAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
disp_x = disp_x
use_displaced_mesh = true
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
use_displaced_mesh = true
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right'
variable = u
function = 'exact_u'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*cos(x) - rho*(-2*x/(2*t + 1) + cos(x))*sin(x) + rho*(-sin(x) - 2/(2*t + 1))*cos(x) + 2*rho*cos(x)/(2*t + 1)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_disp_x]
type = ParsedFunction
expression = '2*x*t'
[]
[]
[Executioner]
type = Transient
num_steps = 1
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
dt = 0.5
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
exodus = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
use_displaced_mesh = true
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
use_displaced_mesh = true
[]
[]
(test/tests/fvkernels/mms/advective-outflow/kt-limited-advection.i)
a=1.1
c=343
max_abs_eig=${fparse c + a}
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0.1
xmax = 1.1
nx = 2
[../]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[ICs]
[u]
type = FunctionIC
variable = u
function = exact
[]
[]
[Variables]
[./u]
two_term_boundary_expansion = true
type = MooseVariableFVReal
[../]
[]
[FVKernels]
[./advection_u]
type = FVKTLimitedAdvection
variable = u
velocity = '${a} 0 0'
limiter = 'vanLeer'
max_abs_eig = ${max_abs_eig}
add_artificial_diff = true
[../]
[body_u]
type = FVBodyForce
variable = u
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionNeumannBC
boundary = 'left'
function = 'advection'
variable = u
[]
[diri_left]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = u
[]
[right]
type = FVConstantScalarOutflowBC
variable = u
velocity = '${a} 0 0'
boundary = 'right'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[advection]
type = ParsedFunction
expression = '${a} * cos(x)'
[]
[forcing]
type = ParsedFunction
expression = '-${a} * sin(x)'
[]
[]
[Executioner]
type = Steady
petsc_options_iname = '-snes_linesearch_minlambda'
petsc_options_value = '1e-3'
nl_abs_tol = 1e-9
[]
[Outputs]
file_base = 'kt-limited-advection_out'
[csv]
type = CSV
execute_on = 'final'
[]
[exo]
type = Exodus
execute_on = 'final'
[]
[]
[Postprocessors]
[./L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion.i)
mu = 1e-15
rho = 1.1
advected_interp_method = 'upwind'
velocity_interp_method = 'rc'
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmax = 0.5
[]
[]
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = .1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '-1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'bt'
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(test/tests/fvkernels/mms/mass-mom-mat-advection-diffusion/input.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmin = -.6
xmax = .6
[]
[]
[GlobalParams]
advected_interp_method = 'average'
[]
[Variables]
[fv_rho]
order = CONSTANT
family = MONOMIAL
fv = true
initial_condition = 2
[]
[fv_vel]
order = CONSTANT
family = MONOMIAL
fv = true
initial_condition = 2
[]
[]
[FVKernels]
[adv_rho]
type = FVMatAdvection
variable = fv_rho
vel = 'fv_velocity'
[]
[diff_rho]
type = FVDiffusion
variable = fv_rho
coeff = coeff
[]
[forcing_rho]
type = FVBodyForce
variable = fv_rho
function = 'forcing_rho'
[]
[adv_rho_u]
type = FVMatAdvection
variable = fv_vel
vel = 'fv_velocity'
advected_quantity = 'rho_u'
[]
[diff_vel]
type = FVDiffusion
variable = fv_vel
coeff = coeff
[]
[forcing_vel]
type = FVBodyForce
variable = fv_vel
function = 'forcing_vel'
[]
[]
[FVBCs]
[boundary_rho]
type = FVFunctionDirichletBC
boundary = 'left right'
function = 'exact_rho'
variable = fv_rho
[]
[boundary_vel]
type = FVFunctionDirichletBC
boundary = 'left right'
function = 'exact_vel'
variable = fv_vel
[]
[]
[Materials]
[euler_material]
type = ADCoupledVelocityMaterial
vel_x = fv_vel
rho = fv_rho
velocity = 'fv_velocity'
[]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '1'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
[]
[Outputs]
exodus = true
csv = true
[]
[Functions]
[forcing_rho]
type = ParsedFunction
expression = '-1.331*sin(1.1*x)^2 + 1.331*sin(1.1*x) + 1.331*cos(1.1*x)^2'
[]
[exact_rho]
type = ParsedFunction
expression = '1.1*sin(1.1*x)'
[]
[forcing_vel]
type = ParsedFunction
expression = '-2.9282*sin(1.1*x)^2*cos(1.1*x) + 1.4641*cos(1.1*x)^3 + 1.331*cos(1.1*x)'
[]
[exact_vel]
type = ParsedFunction
expression = '1.1*cos(1.1*x)'
[]
[]
[Postprocessors]
[./l2_rho]
type = ElementL2Error
variable = fv_rho
function = exact_rho
execute_on = timestep_end
[../]
[./l2_vel]
type = ElementL2Error
variable = fv_vel
function = exact_vel
execute_on = timestep_end
[../]
[h]
type = AverageElementSize
execute_on = timestep_end
[]
[]
(test/tests/misc/check_error/coupled_grad_without_declare.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[]
[forcing_fnv]
type = ParsedFunction
expression = -4
[]
[slnu]
type = ParsedGradFunction
expression = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
#NeumannBC functions
[bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[]
[]
[Variables]
[u]
order = THIRD
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
[]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[diff1]
type = Diffusion
variable = u
[]
[test1]
type = CoupledConvection
variable = u
velocity_vector = v
# Trigger the error in this class
test_coupling_declaration_error = true
[]
[diff2]
type = Diffusion
variable = v
[]
[react]
type = Reaction
variable = u
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[BCs]
active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
[bc_u]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[]
[bc_u_lr]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[]
[bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[]
[bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[]
[bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[]
[bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[]
[bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[]
[]
[Preconditioning]
active = ' '
[prec]
type = SMP
full = true
[]
[]
[Postprocessors]
active = 'L2u L2v'
[dofs]
type = NumDOFs
[]
[h]
type = AverageElementSize
[]
[L2u]
type = ElementL2Error
variable = u
function = slnu
[]
[L2v]
type = ElementL2Error
variable = v
function = slnv
[]
[H1error]
type = ElementH1Error
variable = u
function = solution
[]
[H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Outputs]
execute_on = 'timestep_end'
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/fvkernels/mms/grad-reconstruction/mat-rz.i)
a=1.1
diff=1.1
[Mesh]
[gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
coord_type = 'RZ'
[]
[Variables]
[v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
[]
[]
[FVKernels]
[advection]
type = FVElementalAdvection
variable = v
velocity = '${a} ${a} 0'
advected_quantity = 'mat_u'
grad_advected_quantity = 'mat_grad_u'
[]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[diri]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Materials]
[mat]
type = ADCoupledGradientMaterial
mat_prop = 'mat_u'
grad_mat_prop = 'mat_grad_u'
u = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-a*sin(x)*sin(y) + diff*sin(x)*cos(y) + sin(x)*cos(y) + (x*a*cos(x)*cos(y) + a*sin(x)*cos(y))/x - (-x*diff*sin(x)*cos(y) + diff*cos(x)*cos(y))/x'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/variables/fe_monomial_const/monomial-const-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 21
ny = 21
nz = 21
elem_type = HEX8
[]
[Functions]
[./bc_fn]
type=ParsedFunction
expression=0
[../]
[./bc_fnt]
type = ParsedFunction
expression = 0
[../]
[./bc_fnb]
type = ParsedFunction
expression = 0
[../]
[./bc_fnl]
type = ParsedFunction
expression = 0
[../]
[./bc_fnr]
type = ParsedFunction
expression = 0
[../]
[./forcing_fn]
# type = ParsedFunction
# expression = 0
type = MTPiecewiseConst3D
[../]
[./solution]
type = MTPiecewiseConst3D
[../]
[]
[Variables]
[./u]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
# Note: MOOSE's DirichletBCs do not work properly with shape functions that do not
# have DOFs at the element edges. This test works because the solution
# has been designed to be zero at the boundary which is satisfied by the IC
# Ticket #1352
active = ''
[./bc_all]
type=FunctionDirichletBC
variable = u
boundary = 'top bottom left right'
function = bc_fn
[../]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1.e-9
[./Adaptivity]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
[./out]
type = Exodus
elemental_as_nodal = true
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
darcy = 1.1
forch = 1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
Darcy_name = 'Darcy_coefficient'
Forchheimer_name = 'Forchheimer_coefficient'
porosity = porosity
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
porosity = porosity
pressure = pressure
smoothing_layers = 2
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[eps_out]
type = MooseVariableFVReal
[]
[]
[AuxKernels]
[eps_out]
type = FunctorAux
variable = eps_out
functor = porosity
execute_on = 'timestep_end'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_drag]
type = PINSFVMomentumFriction
variable = u
momentum_component = 'x'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[u_correction]
type = PINSFVMomentumFrictionCorrection
variable = u
momentum_component = 'x'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
pressure = pressure
porosity = porosity
momentum_component = 'y'
[]
[v_drag]
type = PINSFVMomentumFriction
variable = v
momentum_component = 'y'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[v_correction]
type = PINSFVMomentumFrictionCorrection
variable = v
momentum_component = 'y'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[FunctorMaterials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '${darcy} ${darcy} ${darcy} ${forch} ${forch} ${forch}'
[]
[speed]
type = PINSFVSpeedFunctorMaterial
superficial_vel_x = u
superficial_vel_y = v
porosity = porosity
[]
[]
[Functions]
[porosity]
type = ParsedFunction
expression = '.5 + .1 * sin(pi * x / 4) * cos(pi * y / 4)'
[]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'darcy*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.1*pi^2*sin((1/4)*x*pi)*sin((1/4)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.1*pi^2*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/2)*y*pi)*cos((1/4)*x*pi)^2*cos((1/2)*x*pi)*cos((1/4)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/2)*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/2)*y*pi)^2*cos((1/4)*x*pi)*cos((1/2)*x*pi)^2*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/4*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'darcy*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-0.1*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.05*pi^2*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/16*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/4)*x*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/4)*pi*cos((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)*cos((1/2)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (3/2)*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion-strong-bc.i)
mu=1e-15
rho=1.1
advected_interp_method='upwind'
velocity_interp_method='rc'
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmax = 0.5
[]
[]
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = .1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '-1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
force_boundary_execution = false
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[mass]
variable = pressure
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = u
pressure = pressure
eqn = 'mass'
porosity = porosity
[]
[momentum]
variable = u
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = u
pressure = pressure
eqn = 'momentum'
momentum_component = 'x'
porosity = porosity
[]
[inlet-u]
type = FVFunctionDirichletBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[outlet_p]
type = FVFunctionDirichletBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[FunctorMaterials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'rho'
prop_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'bt'
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(test/tests/dgkernels/3d_diffusion_dg/3d_diffusion_p_refinement.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 1
zmin = 0
zmax = 1
elem_type = HEX8
[]
[Variables]
[u]
order = FIRST
family = MONOMIAL
[InitialCondition]
type = ConstantIC
value = 0.5
[]
[]
[]
[Functions]
[forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[]
[exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[]
[]
[Kernels]
[diff]
type = Diffusion
variable = u
[]
[abs]
type = Reaction
variable = u
[]
[forcing]
type = BodyForce
variable = u
function = forcing_fn
[]
[]
[DGKernels]
[dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[]
[]
[BCs]
[all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3 4 5'
function = exact_fn
epsilon = -1
sigma = 6
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[Adaptivity]
switch_h_to_p_refinement = true
steps = 2
refine_fraction = 1.0
coarsen_fraction = 0
max_h_level = 8
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = 'initial timestep_end'
[]
[dofs]
type = NumDOFs
execute_on = 'initial timestep_end'
[]
[l2_err]
type = ElementL2Error
variable = u
function = exact_fn
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
exodus = true
[]
(test/tests/fvkernels/mms/mat-advection-diffusion.i)
diff=1.1
a=1.1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = -0.6
xmax = 0.6
nx = 64
[../]
[]
[Variables]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
[../]
[]
[FVKernels]
[./advection]
type = FVMatAdvection
variable = v
vel = 'fv_velocity'
[../]
[./diffusion]
type = FVDiffusion
variable = v
coeff = coeff
[../]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[boundary]
type = FVFunctionDirichletBC
boundary = 'left right'
function = 'exact'
variable = v
[]
[]
[Materials]
[diff]
type = ADGenericFunctorMaterial
prop_names = 'coeff'
prop_values = '${diff}'
[]
[adv_material]
type = ADCoupledVelocityMaterial
vel_x = '${a}'
rho = 'v'
velocity = 'fv_velocity'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = '3*x^2 + 2*x + 1'
[]
[forcing]
type = ParsedFunction
expression = '-${diff}*6 + ${a} * (6*x + 2)'
# expression = '-${diff}*6'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/linearfvkernels/anisotropic-diffusion/anisotropic-diffusion-2d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 1
ymax = 0.5
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVAnisotropicDiffusion
variable = u
diffusion_tensor = diffusivity_tensor
use_nonorthogonal_correction = false
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right top bottom"
functor = analytic_solution
[]
[]
[FunctorMaterials]
[diff_tensor]
type = GenericVectorFunctorMaterial
prop_names = diffusivity_tensor
prop_values = 'coeff_func_x coeff_func_y 0.0'
[]
[]
[Functions]
[coeff_func_x]
type = ParsedFunction
expression = '1+0.5*x*y'
[]
[coeff_func_y]
type = ParsedFunction
expression = '1+x*y'
[]
[source_func]
type = ParsedFunction
expression = '(1.5-y*y)*(2+2*x*y)+(1.5-x*x)*(2+4*x*y)'
[]
[analytic_solution]
type = ParsedFunction
expression = '(1.5-x*x)*(1.5-y*y)'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
number_of_iterations = 1
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/dgkernels/ad_dg_diffusion/2d_diffusion_ad_dg_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[u]
order = FIRST
family = MONOMIAL
[InitialCondition]
type = ConstantIC
value = 1
[]
[]
[]
[Functions]
[forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[]
[exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[]
[]
[Kernels]
[diff]
type = Diffusion
variable = u
[]
[abs] # u * v
type = Reaction
variable = u
[]
[forcing]
type = BodyForce
variable = u
function = forcing_fn
[]
[]
[DGKernels]
[dg_diff]
type = ADDGDiffusion
variable = u
epsilon = -1
sigma = 6
diff = diff
[]
[]
[Materials]
[ad_coupled_mat]
type = ADCoupledMaterial
coupled_var = u
ad_mat_prop = diff
regular_mat_prop = diff_regular
[]
[]
[BCs]
[all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[Adaptivity]
steps = 2
refine_fraction = 1.0
coarsen_fraction = 0
max_h_level = 8
[]
nl_rel_tol = 1e-10
[]
[Postprocessors]
[h]
type = AverageElementSize
[]
[dofs]
type = NumDOFs
[]
[l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[]
[]
[Outputs]
exodus = true
[]
(test/tests/fvkernels/mms/cylindrical/advection.i)
a = 1.1
[Mesh]
coord_type = 'RZ'
[gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 2
xmax = 3
nx = 2
[]
[]
[Variables]
[v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
[]
[]
[FVKernels]
# Flux kernel
[advection]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
advected_interp_method = 'average'
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = v
[]
[right_u]
type = FVConstantScalarOutflowBC
variable = v
velocity = '${a} 0 0'
boundary = 'right'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing]
type = ParsedFunction
expression = '(x*a*cos(x) + a*sin(x))/x'
symbol_names = 'a'
symbol_values = '${a}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fviks/one-var-diffusion/no-ik.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
nx = 10
xmax = 2
[]
[subdomain1]
input = gen
type = SubdomainBoundingBoxGenerator
bottom_left = '1.0 0 0'
block_id = 1
top_right = '2.0 1.0 0'
[]
[]
[Variables]
[u]
type = MooseVariableFVReal
[]
[]
[FVKernels]
[diff]
type = FVDiffusion
variable = u
coeff = 'coeff'
coeff_interp_method = average
[]
[]
[FVBCs]
[left]
type = FVDirichletBC
variable = u
boundary = 'left'
value = 1
[]
[right]
type = FVDirichletBC
variable = u
boundary = 'right'
value = 0
[]
[]
[Materials]
[block0]
type = ADGenericFunctorMaterial
block = '0'
prop_names = 'coeff'
prop_values = '4'
[]
[block1]
type = ADGenericFunctorMaterial
block = '1'
prop_names = 'coeff'
prop_values = '2'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
[]
[Outputs]
csv = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'if(x<1, 1 - x/3, 4/3 - 2*x/3)'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/linearfvkernels/diffusion-reaction-advection/advection-diffusion-reaction-1d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 2
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = diff_coeff_func
use_nonorthogonal_correction = false
[]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method = average
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
inactive = "outflow"
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = true
[]
[]
[Functions]
[diff_coeff_func]
type = ParsedFunction
expression = '1+0.5*x'
[]
[coeff_func]
type = ParsedFunction
expression = '1+1/(1+x)'
[]
[source_func]
type = ParsedFunction
expression = '(1+1/(x+1))*(sin(pi/2*x)+1.5)+0.25*pi*pi*(0.5*x+1)*sin(pi/2*x)'
[]
[analytic_solution]
type = ParsedFunction
expression = 'sin(pi/2*x)+1.5'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/mortar/convergence-studies/continuity-3d/continuity.i)
[Mesh]
second_order = true
[file]
type = FileMeshGenerator
file = hex_mesh.e
[]
[secondary]
input = file
type = LowerDBlockFromSidesetGenerator
new_block_id = 11
new_block_name = "secondary"
sidesets = '101'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
new_block_id = 12
new_block_name = "primary"
sidesets = '102'
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[T]
block = '1 2'
order = SECOND
[]
[lambda]
block = 'secondary'
# family = MONOMIAL
# order = CONSTANT
family = LAGRANGE
order = SECOND
use_dual = true
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = '1 2'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = EqualValueConstraint
primary_boundary = 2
secondary_boundary = 1
primary_subdomain = '12'
secondary_subdomain = '11'
variable = lambda
secondary_variable = T
# delta = 0.1
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu basic NONZERO 1e-15'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = '1 2'
[]
[h]
type = AverageElementSize
block = '1 2'
[]
[]
(test/tests/fvkernels/mms/skewness-correction/diffusion/skewed.i)
a=1.1
diff=1.1
[Mesh]
[./gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[../]
[]
[Variables]
[./v]
initial_condition = 1
type = MooseVariableFVReal
face_interp_method = 'skewness-corrected'
[../]
[]
[FVKernels]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[exact]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '2*diff*sin(x)*cos(y)'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[./error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/varying-eps-hllc.i)
[GlobalParams]
fp = fp
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[pressure]
type = MooseVariableFVReal
[]
[sup_mom_x]
type = MooseVariableFVReal
[]
[T_fluid]
type = MooseVariableFVReal
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = pressure
function = 'exact_p'
[]
[sup_mom_x]
type = FunctionIC
variable = sup_mom_x
function = 'exact_rho_ud'
[]
[T_fluid]
type = FunctionIC
variable = T_fluid
function = 'exact_T'
[]
[]
[FVKernels]
[mass_advection]
type = PCNSFVMassHLLC
variable = pressure
[]
[mass_fn]
type = FVBodyForce
variable = pressure
function = 'forcing_rho'
[]
[momentum_x_advection]
type = PCNSFVMomentumHLLC
variable = sup_mom_x
momentum_component = x
[]
[eps_grad]
type = PNSFVPGradEpsilon
variable = sup_mom_x
momentum_component = 'x'
epsilon_function = 'eps'
[]
[momentum_fn]
type = FVBodyForce
variable = sup_mom_x
function = 'forcing_rho_ud'
[]
[fluid_energy_advection]
type = PCNSFVFluidEnergyHLLC
variable = T_fluid
[]
[energy_fn]
type = FVBodyForce
variable = T_fluid
function = 'forcing_rho_et'
[]
[]
[FVBCs]
[mass_left]
variable = pressure
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'mass'
[]
[momentum_left]
variable = sup_mom_x
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'momentum'
momentum_component = 'x'
[]
[energy_left]
variable = T_fluid
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'energy'
[]
[mass_right]
variable = pressure
type = PCNSFVStrongBC
boundary = right
eqn = 'mass'
pressure = 'exact_p'
[]
[momentum_right]
variable = sup_mom_x
type = PCNSFVStrongBC
boundary = right
eqn = 'momentum'
momentum_component = 'x'
pressure = 'exact_p'
[]
[energy_right]
variable = T_fluid
type = PCNSFVStrongBC
boundary = right
eqn = 'energy'
pressure = 'exact_p'
[]
[]
[Materials]
[var_mat]
type = PorousMixedVarMaterial
pressure = pressure
superficial_rhou = sup_mom_x
T_fluid = T_fluid
porosity = porosity
[]
[porosity]
type = GenericFunctionMaterial
prop_names = 'porosity'
prop_values = 'eps'
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.83667087618017*sin(1.1*x)*cos(1.3*x) - 4.53424739912202*sin(1.3*x)*cos(1.1*x)'
[]
[exact_rho_ud]
type = ParsedFunction
expression = '3.48788261470924*cos(1.1*x)*cos(1.3*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '(-(10.6975765229419*cos(1.5*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.5*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 16.0463647844128*sin(1.5*x)/cos(x))*cos(x))*cos(1.3*x) + 3.48788261470924*sin(x)*cos(1.1*x)^2*cos(1.3*x)/cos(x)^2 - 7.67334175236034*sin(1.1*x)*cos(1.1*x)*cos(1.3*x)/cos(x) - 4.53424739912202*sin(1.3*x)*cos(1.1*x)^2/cos(x)'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.5*x)'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '1.0*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(x)*cos(1.1*x)*cos(1.3*x)/cos(x)^2 - 1.1*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(1.1*x)*cos(1.3*x)/cos(x) - 1.3*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(1.3*x)*cos(1.1*x)/cos(x) + 1.0*(-(10.6975765229419*cos(1.5*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.5*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 16.0463647844128*sin(1.5*x)/cos(x))*cos(x) - 40.1159119610319*sin(1.5*x))*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.5*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_eps_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)*cos(1.3*x)'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '1.0*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = 'cos(1.3*x)'
[]
[exact_superficial_velocity]
type = ParsedVectorFunction
expression_x = '1.0*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2pressure]
type = ElementL2Error
variable = pressure
function = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_mom_x]
variable = sup_mom_x
function = exact_rho_ud
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2T_fluid]
variable = T_fluid
function = exact_T
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/2d-rc-continuous.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 8
ny = 8
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
porosity = porosity
pressure = pressure
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
[]
[]
[ICs]
[porosity_continuous]
type = FunctionIC
variable = porosity
function = smooth_jump
[]
[]
[GlobalParams]
porosity = porosity
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
pressure = pressure
porosity = porosity
momentum_component = 'y'
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[smooth_jump]
type = ParsedFunction
expression = '1 - 0.5 * 1 / (1 + exp(-30*(x-1))) - 0.01 * y'
[]
# Output from compute-functions-2d.py
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '15.0*mu*(-1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*exp(30 - 30*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2))*exp(30 - 30*x)/(exp(30 - 30*x) + 1)^2 + 0.01*mu*((1/2)*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 0.0002*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3) - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 15.0*pi*exp(30 - 30*x)*sin((1/2)*x*pi)*sin((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) - 450.0*exp(30 - 30*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 900.0*exp(60 - 60*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^3*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 450.0*exp(60 - 60*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^4*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3)) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 15.0*rho*exp(30 - 30*x)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) - 1/4*pi*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '0.01*mu*(-1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 15.0*mu*((1/4)*pi*cos((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*exp(30 - 30*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2))*exp(30 - 30*x)/(exp(30 - 30*x) + 1)^2 - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 0.01*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 0.0002*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3) - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/16*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 450.0*exp(30 - 30*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 7.5*pi*exp(30 - 30*x)*cos((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 900.0*exp(60 - 60*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^3*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 450.0*exp(60 - 60*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^4*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3)) - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*rho*sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 15.0*rho*exp(30 - 30*x)*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + (3/2)*pi*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(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/stochastic_tools/test/tests/multiapps/user_cli_args/sub_transient.i)
[StochasticTools]
[]
[Mesh]
type = GeneratedMesh
dim = 1
[]
[Postprocessors]
[size]
type = AverageElementSize
execute_on = 'initial'
[]
[function_val]
type = FunctionValuePostprocessor
function = fun
scale_factor = 1.0
[]
[]
[Functions/fun]
type = ConstantFunction
value = 1.0
[]
[Executioner]
type = Transient
num_steps = 3
[]
[Controls/receiver]
type = SamplerReceiver
[]
(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
[]
(test/tests/bcs/penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -2*(x*x+y*y-2)+(1-x*x)*(1-y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (1-x*x)*(1-y*y)
grad_x = 2*(x*y*y-x)
grad_y = 2*(x*x*y-y)
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = PenaltyDirichletBC
variable = u
value = 0
boundary = 'top left right bottom'
penalty = 1e5
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(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
[]
(test/tests/bcs/ad_penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -4+x*x+y*y
[../]
[./solution]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = ADDiffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = ADBodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = ADFunctionPenaltyDirichletBC
variable = u
function = solution
boundary = 'top left right bottom'
penalty = 1e6
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/navier_stokes/test/tests/finite_element/ins/cg-dg-hybrid/mms/lid-driven/hybrid-cg-dg-mms.i)
rho=1.1
mu=1.1
cp=1.1
k=1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1.0
ymin = -1
ymax = 1.0
nx = 2
ny = 2
[]
[corner_node]
type = ExtraNodesetGenerator
new_boundary = 'pinned_node'
nodes = '0'
input = gen
[]
[]
[Variables]
[u]
family = MONOMIAL
[]
[v]
family = MONOMIAL
[]
[pressure][]
[T]
family = MONOMIAL
[]
[]
[Kernels]
[momentum_x_convection]
type = ADConservativeAdvection
variable = u
velocity = 'velocity'
advected_quantity = 'rhou'
[]
[momentum_x_diffusion]
type = MatDiffusion
variable = u
diffusivity = 'mu'
[]
[momentum_x_pressure]
type = PressureGradient
integrate_p_by_parts = false
variable = u
pressure = pressure
component = 0
[]
[u_forcing]
type = BodyForce
variable = u
function = forcing_u
[]
[momentum_y_convection]
type = ADConservativeAdvection
variable = v
velocity = 'velocity'
advected_quantity = 'rhov'
[]
[momentum_y_diffusion]
type = MatDiffusion
variable = v
diffusivity = 'mu'
[]
[momentum_y_pressure]
type = PressureGradient
integrate_p_by_parts = false
variable = v
pressure = pressure
component = 1
[]
[v_forcing]
type = BodyForce
variable = v
function = forcing_v
[]
[mass]
type = ADConservativeAdvection
variable = pressure
velocity = velocity
advected_quantity = -1
[]
[p_forcing]
type = BodyForce
variable = pressure
function = forcing_p
[]
[T_convection]
type = ADConservativeAdvection
variable = T
velocity = 'velocity'
advected_quantity = 'rho_cp_temp'
[]
[T_diffusion]
type = MatDiffusion
variable = T
diffusivity = 'k'
[]
[T_forcing]
type = BodyForce
variable = T
function = forcing_T
[]
[]
[DGKernels]
[momentum_x_convection]
type = ADDGAdvection
variable = u
velocity = 'velocity'
advected_quantity = 'rhou'
[]
[momentum_x_diffusion]
type = DGDiffusion
variable = u
sigma = 6
epsilon = -1
diff = 'mu'
[]
[momentum_y_convection]
type = ADDGAdvection
variable = v
velocity = 'velocity'
advected_quantity = 'rhov'
[]
[momentum_y_diffusion]
type = DGDiffusion
variable = v
sigma = 6
epsilon = -1
diff = 'mu'
[]
[T_convection]
type = ADDGAdvection
variable = T
velocity = 'velocity'
advected_quantity = 'rho_cp_temp'
[]
[T_diffusion]
type = DGDiffusion
variable = T
sigma = 6
epsilon = -1
diff = 'k'
[]
[]
[BCs]
[u_walls]
type = DGFunctionDiffusionDirichletBC
boundary = 'left bottom right top'
variable = u
sigma = 6
epsilon = -1
function = exact_u
diff = 'mu'
[]
[v_walls]
type = DGFunctionDiffusionDirichletBC
boundary = 'left bottom right top'
variable = v
sigma = 6
epsilon = -1
function = exact_v
diff = 'mu'
[]
[pressure_pin]
type = FunctionDirichletBC
variable = pressure
boundary = 'pinned_node'
function = 'exact_p'
[]
[T_walls]
type = DGFunctionDiffusionDirichletBC
boundary = 'left bottom right top'
variable = T
sigma = 6
epsilon = -1
function = exact_T
diff = 'k'
[]
[]
[Materials]
[const]
type = ADGenericConstantMaterial
prop_names = 'rho cp'
prop_values = '${rho} ${cp}'
[]
[const_reg]
type = GenericConstantMaterial
prop_names = 'mu k'
prop_values = '${mu} ${k}'
[]
[vel]
type = ADVectorFromComponentVariablesMaterial
vector_prop_name = 'velocity'
u = u
v = v
[]
[rhou]
type = ADParsedMaterial
property_name = 'rhou'
coupled_variables = 'u'
material_property_names = 'rho'
expression = 'rho*u'
[]
[rhov]
type = ADParsedMaterial
property_name = 'rhov'
coupled_variables = 'v'
material_property_names = 'rho'
expression = 'rho*v'
[]
[rho_cp]
type = ADParsedMaterial
property_name = 'rho_cp'
material_property_names = 'rho cp'
expression = 'rho*cp'
[]
[rho_cp_temp]
type = ADParsedMaterial
property_name = 'rho_cp_temp'
material_property_names = 'rho cp'
coupled_variables = 'T'
expression = 'rho*cp*T'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(y)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*sin(y)*cos((1/2)*x*pi) + (1/4)*pi^2*mu*sin(y)*cos((1/2)*x*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*y*pi)*cos((1/2)*x*pi) + rho*sin(x)*cos(y)*cos((1/2)*x*pi)*cos((1/2)*y*pi) - pi*rho*sin(y)^2*sin((1/2)*x*pi)*cos((1/2)*x*pi) + sin(y)*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin(x)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'mu*sin(x)*cos((1/2)*y*pi) + (1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*x*pi)*cos((1/2)*y*pi) + rho*sin(y)*cos(x)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + sin(x)*cos(y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)*sin(y)'
[]
[forcing_p]
type = ParsedFunction
expression = '(1/2)*pi*sin(x)*sin((1/2)*y*pi) + (1/2)*pi*sin(y)*sin((1/2)*x*pi)'
[]
[exact_T]
type = ParsedFunction
expression = 'cos(x)*cos(y)'
[]
[forcing_T]
type = ParsedFunction
expression = '-cp*rho*sin(x)*sin(y)*cos(x)*cos((1/2)*y*pi) - cp*rho*sin(x)*sin(y)*cos(y)*cos((1/2)*x*pi) - 1/2*pi*cp*rho*sin(x)*sin((1/2)*y*pi)*cos(x)*cos(y) - 1/2*pi*cp*rho*sin(y)*sin((1/2)*x*pi)*cos(x)*cos(y) + 2*k*cos(x)*cos(y)'
symbol_names = 'rho cp k'
symbol_values = '${rho} ${cp} ${k}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO mumps'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
variable = v
function = exact_v
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2T]
variable = T
function = exact_T
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/free-flow-hllc.i)
diff_coeff = 0.1
[GlobalParams]
fp = fp
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = 1.1
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Variables]
[rho]
type = MooseVariableFVReal
[]
[rho_u]
type = MooseVariableFVReal
[]
[rho_et]
type = MooseVariableFVReal
[]
[]
[ICs]
[rho]
type = FunctionIC
variable = rho
function = 'exact_rho'
[]
[rho_u]
type = FunctionIC
variable = rho_u
function = 'exact_rho_u'
[]
[rho_et]
type = FunctionIC
variable = rho_et
function = 'exact_rho_et'
[]
[]
[FVKernels]
[mass_advection]
type = CNSFVMassHLLC
variable = rho
[]
[mass_fn]
type = FVBodyForce
variable = rho
function = 'forcing_rho'
[]
[momentum_x_advection]
type = CNSFVMomentumHLLC
variable = rho_u
momentum_component = x
[]
[momentum_fn]
type = FVBodyForce
variable = rho_u
function = 'forcing_rho_u'
[]
[fluid_energy_advection]
type = CNSFVFluidEnergyHLLC
variable = rho_et
[]
[energy_fn]
type = FVBodyForce
variable = rho_et
function = 'forcing_rho_et'
[]
[mass_diff]
type = FVDiffusion
variable = rho
coeff = ${diff_coeff}
[]
[momentum_diff]
type = FVDiffusion
variable = rho_u
coeff = ${diff_coeff}
[]
[energy_diff]
type = FVDiffusion
variable = rho_et
coeff = ${diff_coeff}
[]
[]
[FVBCs]
[mass_in]
variable = rho
type = CNSFVHLLCSpecifiedMassFluxAndTemperatureMassBC
boundary = left
temperature = 'exact_T'
rhou = 'exact_rho_u'
[]
[momentum_in]
variable = rho_u
type = CNSFVHLLCSpecifiedMassFluxAndTemperatureMomentumBC
boundary = left
temperature = 'exact_T'
rhou = 'exact_rho_u'
momentum_component = 'x'
[]
[energy_in]
variable = rho_et
type = CNSFVHLLCSpecifiedMassFluxAndTemperatureFluidEnergyBC
boundary = left
temperature = 'exact_T'
rhou = 'exact_rho_u'
[]
[mass_out]
variable = rho
type = CNSFVHLLCSpecifiedPressureMassBC
boundary = right
pressure = 'exact_p'
[]
[momentum_out]
variable = rho_u
type = CNSFVHLLCSpecifiedPressureMomentumBC
boundary = right
pressure = 'exact_p'
momentum_component = 'x'
[]
[energy_out]
variable = rho_et
type = CNSFVHLLCSpecifiedPressureFluidEnergyBC
boundary = right
pressure = 'exact_p'
[]
[left_mass_diffusion]
type = FVFunctionNeumannBC
variable = rho
function = minus_rho_bc
boundary = 'left'
[]
[left_momentum_diffusion]
type = FVFunctionNeumannBC
variable = rho_u
function = minus_rho_u_bc
boundary = 'left'
[]
[left_energy_diffusion]
type = FVFunctionNeumannBC
variable = rho_et
function = minus_rho_et_bc
boundary = 'left'
[]
[right_mass_diffusion]
type = FVFunctionNeumannBC
variable = rho
function = rho_bc
boundary = 'right'
[]
[right_momentum_diffusion]
type = FVFunctionNeumannBC
variable = rho_u
function = rho_u_bc
boundary = 'right'
[]
[right_energy_diffusion]
type = FVFunctionNeumannBC
variable = rho_et
function = rho_et_bc
boundary = 'right'
[]
[]
[Materials]
[var_mat]
type = ConservedVarValuesMaterial
rho = rho
rhou = rho_u
rho_et = rho_et
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[rho_bc]
type = ParsedFunction
value = '-diff_coeff*3.48788261470924*sin(x)'
vars = 'diff_coeff'
vals = '${diff_coeff}'
[]
[minus_rho_bc]
type = ParsedFunction
value = 'diff_coeff*3.48788261470924*sin(x)'
vars = 'diff_coeff'
vals = '${diff_coeff}'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.83667087618017*sin(1.1*x) + 0.348788261470924*cos(x)'
[]
[exact_rho_u]
type = ParsedFunction
expression = '3.48788261470924*cos(1.1*x)'
[]
[rho_u_bc]
type = ParsedFunction
value = '-diff_coeff*3.48788261470924*1.1*sin(1.1*x)'
vars = 'diff_coeff'
vals = '${diff_coeff}'
[]
[minus_rho_u_bc]
type = ParsedFunction
value = 'diff_coeff*3.48788261470924*1.1*sin(1.1*x)'
vars = 'diff_coeff'
vals = '${diff_coeff}'
[]
[forcing_rho_u]
type = ParsedFunction
expression = '-(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) + 3.48788261470924*sin(x)*cos(1.1*x)^2/cos(x)^2 - 7.67334175236034*sin(1.1*x)*cos(1.1*x)/cos(x) + 0.422033796379819*cos(1.1*x)'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.2*x)'
[]
[rho_et_bc]
type = ParsedFunction
value = '-diff_coeff*26.7439413073546*1.2*sin(1.2*x)'
vars = 'diff_coeff'
vals = '${diff_coeff}'
[]
[minus_rho_et_bc]
type = ParsedFunction
value = 'diff_coeff*26.7439413073546*1.2*sin(1.2*x)'
vars = 'diff_coeff'
vals = '${diff_coeff}'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '1.0*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(x)*cos(1.1*x)/cos(x)^2 - 1.1*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(1.1*x)/cos(x) + 1.0*(-(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) - 32.0927295688256*sin(1.2*x))*cos(1.1*x)/cos(x) + 3.85112754825907*cos(1.2*x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = none
nl_rel_tol = 1e-11
nl_abs_tol = 1e-11
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho]
type = ElementL2Error
variable = rho
function = exact_rho
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho_u]
variable = rho_u
function = exact_rho_u
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2rho_et]
variable = rho_et
function = exact_rho_et
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-symmetry.i)
mu=1.1
rho=1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
two_term_boundary_expansion = true
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[v]
type = INSFVVelocityVariable
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[u]
type = FunctionIC
function = 'exact_u'
variable = u
[]
[v]
type = FunctionIC
function = 'exact_v'
variable = v
[]
[pressure]
type = FunctionIC
function = 'exact_p'
variable = pressure
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_wall]
type = INSFVNoSlipWallBC
variable = u
boundary = 'right'
function = 'exact_u'
[]
[v_wall]
type = INSFVNoSlipWallBC
variable = v
boundary = 'right'
function = 'exact_v'
[]
[u_axis]
type = INSFVSymmetryVelocityBC
variable = u
boundary = 'left'
mu = ${mu}
u = u
v = v
momentum_component = 'x'
[]
[v_axis]
type = INSFVSymmetryVelocityBC
variable = v
boundary = 'left'
mu = ${mu}
u = u
v = v
momentum_component = 'y'
[]
[p_axis]
type = INSFVSymmetryPressureBC
variable = pressure
boundary = 'left'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
function = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
function = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)*cos(y*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '2*pi^2*mu*sin(x*pi)*cos(y*pi) - 2*pi*rho*sin(x*pi)*sin(y*pi)*cos(1.3*x)*cos(y*pi) + 2*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi)^2 - 1.5*sin(1.5*x)*cos(1.6*y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(1.3*x)*cos(y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '1.69*mu*cos(1.3*x)*cos(y*pi) + pi^2*mu*cos(1.3*x)*cos(y*pi) - 1.3*rho*sin(1.3*x)*sin(x*pi)*cos(y*pi)^2 - 2*pi*rho*sin(y*pi)*cos(1.3*x)^2*cos(y*pi) + pi*rho*cos(1.3*x)*cos(x*pi)*cos(y*pi)^2 - 1.6*sin(1.6*y)*cos(1.5*x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(1.5*x)*cos(1.6*y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(1.3*x) + pi*rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(python/mms/test/mms_temporal.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 8
ny = 8
[]
[Variables]
[u][]
[]
[Kernels]
[time]
type = ADTimeDerivative
variable = u
[]
[diff]
type = ADDiffusion
variable = u
[]
[force]
type = BodyForce
variable = u
function = force
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 't^3*x*y'
[]
[force]
type = ParsedFunction
expression = '3*x*y*t^2'
[]
[]
[BCs]
[all]
type = FunctionDirichletBC
variable = u
function = exact
boundary = 'left right top bottom'
[]
[]
[Postprocessors]
[error]
type = ElementL2Error
function = exact
variable = u
[]
[h]
type = AverageElementSize
[]
[]
[Executioner]
type = Transient
dt = 1
end_time = 3
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
csv = true
[]
(test/tests/linearfvkernels/diffusion-reaction-advection/advection-diffusion-reaction-2d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 1
ymax = 0.5
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = diff_coeff_func
use_nonorthogonal_correction = false
[]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method = average
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
inactive = "outflow"
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right top bottom"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = true
[]
[]
[Functions]
[diff_coeff_func]
type = ParsedFunction
expression = '1.0+0.5*x*y'
[]
[coeff_func]
type = ParsedFunction
expression = '1.0+1.0/(1+x*y)'
[]
[source_func]
type = ParsedFunction
expression = '-1.0*x*pi*sin((1/2)*x*pi)*cos(2*y*pi) - 0.25*y*pi*sin(2*y*pi)*cos((1/2)*x*pi) + (1.0 + 1.0/(x*y + 1))*(sin((1/2)*x*pi)*sin(2*y*pi) + 1.5) + (17/4)*pi^2*(0.5*x*y + 1.0)*sin((1/2)*x*pi)*sin(2*y*pi) + 0.25*pi*sin(2*y*pi)*cos((1/2)*x*pi)'
[]
[analytic_solution]
type = ParsedFunction
expression = 'sin((1/2)*x*pi)*sin(2*y*pi) + 1.5'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = LinearPicardSteady
linear_systems_to_solve = u_sys
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/variables/fe_hier/hier-1-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 5
ny = 5
elem_type = HEX8
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 1
[../]
[./bc_fnb]
type = ParsedFunction
expression = -1
[../]
[./bc_fnl]
type = ParsedFunction
expression = -1
[../]
[./bc_fnr]
type = ParsedFunction
expression = 1
[../]
[./bc_fnf]
type = ParsedFunction
expression = 1
[../]
[./bc_fnk]
type = ParsedFunction
expression = -1
[../]
[./forcing_fn]
type = ParsedFunction
expression = x+y+z
[../]
[./solution]
type = ParsedGradFunction
expression = x+y+z
grad_x = 1
grad_y = 1
grad_z = 1
[../]
[]
[Variables]
[./u]
order = FIRST
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/stochastic_tools/test/tests/multiapps/user_cli_args/sub_steady.i)
[StochasticTools]
[]
[Mesh]
type = GeneratedMesh
dim = 1
[]
[Postprocessors]
[size]
type = AverageElementSize
execute_on = 'initial'
[]
[function_val]
type = FunctionValuePostprocessor
function = fun
scale_factor = 1.0
[]
[]
[Functions/fun]
type = ConstantFunction
value = 1.0
[]
[Controls/receiver]
type = SamplerReceiver
[]
(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/stochastic_tools/test/tests/multiapps/commandline_control/sub.i)
[Mesh]
type = GeneratedMesh
dim = 1
[]
[Variables]
[u]
initial_condition = 1980
[]
[]
[Problem]
type = FEProblem
solve = false
[]
[Executioner]
type = Steady
[]
[Postprocessors]
[size]
type = AverageElementSize
execute_on = 'initial'
[]
[]
[Outputs]
csv = 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/navier_stokes/test/tests/finite_volume/pins/mms/2d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 8
ny = 8
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[GlobalParams]
porosity = porosity
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
porosity = porosity
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '0.5*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - 0.625*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + 0.625*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - 1.25*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - 0.2*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '0.3125*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - 1.25*pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 0.625*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + 0.3125*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + 1.2*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/cylindrical/advection-reaction.i)
a = 1.1
[Mesh]
coord_type = 'RZ'
[gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[]
[Variables]
[v]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 1
[]
[]
[FVKernels]
[advection]
type = FVAdvection
variable = v
velocity = '${a} ${a} 0'
advected_interp_method = 'average'
[]
[reaction]
type = FVReaction
variable = v
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionDirichletBC
boundary = 'left bottom'
function = 'exact'
variable = v
[]
[right_u]
type = FVConstantScalarOutflowBC
variable = v
velocity = '${a} ${a} 0'
boundary = 'right top'
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-a*sin(x)*sin(y) + sin(x)*cos(y) + (x*a*cos(x)*cos(y) + a*sin(x)*cos(y))/x'
symbol_names = 'a'
symbol_values = '${a}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
petsc_options_value = 'asm NONZERO lu'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/broken-domain/diffusion.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmax = 2
[]
[subdomain1]
input = gen
type = SubdomainBoundingBoxGenerator
bottom_left = '1.0 0 0'
block_id = 1
top_right = '2.0 1.0 0'
[]
[interface_primary_side]
input = subdomain1
type = SideSetsBetweenSubdomainsGenerator
primary_block = '0'
paired_block = '1'
new_boundary = 'primary_interface'
[]
[interface_secondary_side]
input = interface_primary_side
type = SideSetsBetweenSubdomainsGenerator
primary_block = '1'
paired_block = '0'
new_boundary = 'secondary_interface'
[]
[]
[Variables]
[u]
type = MooseVariableFVReal
block = 0
initial_condition = 0.5
[]
[v]
type = MooseVariableFVReal
block = 1
initial_condition = 0.5
[]
[]
[FVKernels]
[diff_left]
type = FVDiffusion
variable = u
coeff = 'left'
block = 0
[]
[diff_right]
type = FVDiffusion
variable = v
coeff = 'right'
block = 1
[]
[body_left]
type = FVBodyForce
variable = u
function = 'forcing'
block = 0
[]
[body_right]
type = FVBodyForce
variable = v
function = 'forcing'
block = 1
[]
[]
[FVInterfaceKernels]
# This will add a flux term for variable1, e.g. u
[interface]
type = FVOnlyAddDiffusionToOneSideOfInterface
variable1 = u
variable2 = v
boundary = 'primary_interface'
subdomain1 = '0'
subdomain2 = '1'
coeff2 = 'right'
[]
[]
[FVBCs]
[left]
type = FVFunctionDirichletBC
variable = u
boundary = 'left'
function = 'exact'
[]
[right]
type = FVFunctionDirichletBC
variable = v
boundary = 'right'
function = 'exact'
[]
[middle]
# by adding a dirichlet BC we ensure that flux kernels will run for variable v
type = FVADUseFunctorSideForSsfDirichletBC
variable = v
functor = u
boundary = 'secondary_interface'
[]
[]
[FunctorMaterials]
[block0]
type = ADGenericFunctorMaterial
block = '0'
prop_names = 'left'
prop_values = '1'
[]
[block1]
type = ADGenericFunctorMaterial
block = '1'
prop_names = 'right'
prop_values = '1'
[]
[composite]
type = ADPiecewiseByBlockFunctorMaterial
prop_name = 'composite'
subdomain_to_prop_value = '0 u 1 v'
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm lu NONZERO'
[]
[Outputs]
exodus = true
csv = true
[]
[Functions]
[exact]
type = ParsedFunction
expression = '3*x^2 + 2*x + 1'
[]
[forcing]
type = ParsedFunction
expression = '-6'
[]
[]
[Postprocessors]
[error]
type = ElementL2FunctorError
approximate = composite
exact = exact
outputs = 'console csv'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
[]
[]
(modules/level_set/test/tests/verification/1d_level_set_supg_mms/1d_level_set_supg_mms.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0
xmax = 32
nx = 64
[]
[Variables]
[./phi]
[../]
[]
[AuxVariables]
[./velocity]
family = LAGRANGE_VEC
[../]
[]
[ICs]
[./phi_ic]
function = phi_exact
variable = phi
type = FunctionIC
[../]
[./vel_ic]
type = VectorFunctionIC
variable = velocity
function = velocity_func
[]
[]
[Functions]
[./phi_exact]
type = ParsedFunction
expression = 'a*exp(1/(10*t))*sin(2*pi*x/b) + 1'
symbol_names = 'a b'
symbol_values = '1 8'
[../]
[./phi_mms]
type = ParsedFunction
expression = '-a*exp(1/(10*t))*sin(2*pi*x/b)/(10*t^2) + 2*pi*a*exp(1/(10*t))*cos(2*pi*x/b)/b'
symbol_names = 'a b'
symbol_values = '1 8'
[../]
[./velocity_func]
type = ParsedVectorFunction
expression_x = '1'
expression_y = '1'
[../]
[]
[Kernels]
[./time]
type = TimeDerivative
variable = phi
[../]
[./time_supg]
type = LevelSetTimeDerivativeSUPG
variable = phi
velocity = velocity
[../]
[./phi_advection]
type = LevelSetAdvection
variable = phi
velocity = velocity
[../]
[./phi_forcing]
type = BodyForce
variable = phi
function = phi_mms
[../]
[./phi_advection_supg]
type = LevelSetAdvectionSUPG
variable = phi
velocity = velocity
[../]
[./phi_forcing_supg]
type = LevelSetForcingFunctionSUPG
velocity = velocity
variable = phi
function = phi_mms
[../]
[]
[Postprocessors]
[./error]
type = ElementL2Error
function = phi_exact
variable = phi
[../]
[./h]
type = AverageElementSize
[../]
[./point]
type = PointValue
point = '0.1 0 0'
variable = phi
[../]
[]
[Executioner]
type = Transient
start_time = 1
dt = 0.01
end_time = 1.25
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_sub_type'
petsc_options_value = 'asm ilu'
scheme = bdf2
nl_rel_tol = 1e-12
[]
[Outputs]
time_step_interval = 10
execute_on = 'timestep_end'
csv = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/variables/fe_hermite/hermite-3-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y+(x*x*x)+(y*y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (x*x*x)+(y*y*y)
grad_x = 3*x*x
grad_y = 3*y*y
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/fvkernels/mms/advective-outflow/limited-advection.i)
a=1.1
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0.1
xmax = 1.1
nx = 2
[../]
[]
[ICs]
[u]
type = FunctionIC
variable = u
function = exact
[]
[]
[Variables]
[./u]
two_term_boundary_expansion = true
type = MooseVariableFVReal
[../]
[]
[FVKernels]
[./advection_u]
type = FVLimitedAdvection
variable = u
velocity = '${a} 0 0'
boundaries_to_force = 'right'
limiter = 'vanLeer'
[../]
[body_u]
type = FVBodyForce
variable = u
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionNeumannBC
boundary = 'left'
function = 'advection'
variable = u
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[advection]
type = ParsedFunction
expression = '${a} * cos(x)'
[]
[forcing]
type = ParsedFunction
expression = '-${a} * sin(x)'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_abs_tol = 1e-13
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected-action.i)
mu = 1.1
rho = 1.1
darcy = 1.1
forch = 1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[AuxVariables]
[eps_out]
type = MooseVariableFVReal
[]
[eps_smoothed_out]
type = MooseVariableFVReal
[]
[]
[AuxKernels]
[eps_out]
type = FunctorAux
variable = eps_out
functor = porosity
execute_on = 'timestep_end'
[]
[eps_smoothed_out]
type = FunctorAux
variable = eps_smoothed_out
functor = smoothed_porosity
[]
[]
[Physics]
[NavierStokes]
[Flow]
[flow]
compressibility = 'incompressible'
porous_medium_treatment = true
porosity = porosity
porosity_smoothing_layers = 2
friction_types = 'darcy forchheimer'
friction_coeffs = 'Darcy_coefficient Forchheimer_coefficient'
use_friction_correction = true
consistent_scaling = 1.0
density = 'rho'
dynamic_viscosity = 'mu'
initial_velocity = '1 1 0'
initial_pressure = 0.0
inlet_boundaries = 'left top bottom'
momentum_inlet_types = 'fixed-velocity fixed-velocity fixed-velocity'
momentum_inlet_functors = 'exact_u exact_v; exact_u exact_v; exact_u exact_v'
outlet_boundaries = 'right'
momentum_outlet_types = 'fixed-pressure'
pressure_functors = 'exact_p'
mass_advection_interpolation = 'average'
momentum_advection_interpolation = 'average'
[]
[]
[]
[]
[FVKernels]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_forcing]
type = INSFVBodyForce
variable = superficial_vel_x
functor = forcing_u
momentum_component = 'x'
rhie_chow_user_object = 'pins_rhie_chow_interpolator'
[]
[v_forcing]
type = INSFVBodyForce
variable = superficial_vel_y
functor = forcing_v
momentum_component = 'y'
rhie_chow_user_object = 'pins_rhie_chow_interpolator'
[]
[]
[FunctorMaterials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '${darcy} ${darcy} ${darcy} ${forch} ${forch} ${forch}'
[]
[constants]
type = ADGenericFunctorMaterial
prop_names = 'rho mu'
prop_values = '${rho} ${mu}'
[]
[]
[Functions]
[porosity]
type = ParsedFunction
expression = '.5 + .1 * sin(pi * x / 4) * cos(pi * y / 4)'
[]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'darcy*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.1*pi^2*sin((1/4)*x*pi)*sin((1/4)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.1*pi^2*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/2)*y*pi)*cos((1/4)*x*pi)^2*cos((1/2)*x*pi)*cos((1/4)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/2)*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/2)*y*pi)^2*cos((1/4)*x*pi)*cos((1/2)*x*pi)^2*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/4*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'darcy*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-0.1*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.05*pi^2*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/16*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/4)*x*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/4)*pi*cos((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)*cos((1/2)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (3/2)*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = superficial_vel_x
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = superficial_vel_y
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/dgkernels/2d_diffusion_dg/2d_diffusion_dg_test.i)
###########################################################
# This is a test of the Discontinuous Galerkin System.
# Discontinous basis functions are used (Monomials) and
# a Laplacian DGKernel contributes to the
# internal edges around each element. Jumps are allowed
# but penalized by this method.
#
# @Requirement F3.60
###########################################################
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
# xmin = -1
# xmax = 1
# ymin = -1
# ymax = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
active = 'u'
[u]
order = FIRST
family = MONOMIAL
[InitialCondition]
type = ConstantIC
value = 1
[]
[]
[]
[Functions]
active = 'forcing_fn exact_fn'
[forcing_fn]
type = ParsedFunction
# function = -4.0+(x*x)+(y*y)
# function = x
# function = (x*x)-2.0
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
# function = (x*x*x)-6.0*x
[]
[exact_fn]
type = ParsedGradFunction
# function = x
# grad_x = 1
# grad_y = 0
# function = (x*x)+(y*y)
# grad_x = 2*x
# grad_y = 2*y
# function = (x*x)
# grad_x = 2*x
# grad_y = 0
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
# function = (x*x*x)
# grad_x = 3*x*x
# grad_y = 0
[]
[]
[Kernels]
active = 'diff abs forcing'
[diff]
type = Diffusion
variable = u
[]
[abs] # u * v
type = Reaction
variable = u
[]
[forcing]
type = BodyForce
variable = u
function = forcing_fn
[]
[]
[DGKernels]
active = 'dg_diff'
[dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[]
[]
[BCs]
active = 'all'
[all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
# petsc_options = '-snes_mf'
# petsc_options_iname = '-pc_type -pc_hypre_type'
# petsc_options_value = 'hypre boomeramg'
# petsc_options = '-snes_mf'
# max_r_steps = 2
[Adaptivity]
steps = 2
refine_fraction = 1.0
coarsen_fraction = 0
max_h_level = 8
[]
nl_rel_tol = 1e-10
# nl_rel_tol = 1e-12
[]
[Postprocessors]
active = 'h dofs l2_err'
[h]
type = AverageElementSize
[]
[dofs]
type = NumDOFs
[]
[l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[]
[]
[Outputs]
file_base = out
exodus = true
[]
(test/tests/variables/fe_hier/hier-3-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y+(x*x*x)+(y*y*y)
[../]
[./solution]
type = ParsedGradFunction
expression = (x*x*x)+(y*y*y)
grad_x = 3*x*x
grad_y = 3*y*y
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hermite/hermite-3-1d.i)
###########################################################
# This is a simple test demonstrating the use of the
# Hermite variable type.
#
# @Requirement F3.10
###########################################################
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x+(x*x*x)
[../]
[./solution]
type = ParsedGradFunction
value = x*x*x
grad_x = 3*x*x
[../]
[]
# Hermite Variable type
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
execute_on = 'timestep_end'
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
[]
(test/tests/fvkernels/mms/advective-outflow/advection.i)
a=1.1
[GlobalParams]
advected_interp_method = 'average'
[]
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0.1
xmax = 1.1
nx = 2
[../]
[]
[Variables]
[./u]
family = MONOMIAL
order = CONSTANT
fv = true
two_term_boundary_expansion = false
type = MooseVariableFVReal
[../]
[./v]
family = MONOMIAL
order = CONSTANT
fv = true
two_term_boundary_expansion = true
type = MooseVariableFVReal
[../]
[]
[FVKernels]
[./advection_u]
type = FVAdvection
variable = u
velocity = '${a} 0 0'
force_boundary_execution = true
[../]
[body_u]
type = FVBodyForce
variable = u
function = 'forcing'
[]
[./advection_v]
type = FVAdvection
variable = v
velocity = '${a} 0 0'
force_boundary_execution = true
[../]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[left_u]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = u
[]
[left_v]
type = FVFunctionDirichletBC
boundary = 'left'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing]
type = ParsedFunction
expression = '-${a} * sin(x)'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[./L2u]
type = ElementL2Error
variable = u
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(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/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/basic-primitive-pcnsfv-kt.i)
[GlobalParams]
fp = fp
limiter = 'central_difference'
two_term_boundary_expansion = true
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[pressure]
type = MooseVariableFVReal
[]
[sup_vel_x]
type = MooseVariableFVReal
[]
[T_fluid]
type = MooseVariableFVReal
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = pressure
function = 'exact_p'
[]
[sup_vel_x]
type = FunctionIC
variable = sup_vel_x
function = 'exact_sup_vel_x'
[]
[T_fluid]
type = FunctionIC
variable = T_fluid
function = 'exact_T'
[]
[]
[FVKernels]
[mass_advection]
type = PCNSFVKT
variable = pressure
eqn = "mass"
[]
[mass_fn]
type = FVBodyForce
variable = pressure
function = 'forcing_rho'
[]
[momentum_x_advection]
type = PCNSFVKT
variable = sup_vel_x
momentum_component = x
eqn = "momentum"
[]
[momentum_fn]
type = FVBodyForce
variable = sup_vel_x
function = 'forcing_rho_ud'
[]
[fluid_energy_advection]
type = PCNSFVKT
variable = T_fluid
eqn = "energy"
[]
[energy_fn]
type = FVBodyForce
variable = T_fluid
function = 'forcing_rho_et'
[]
[]
[FVBCs]
[mass_left]
variable = pressure
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'mass'
[]
[momentum_left]
variable = sup_vel_x
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'momentum'
momentum_component = 'x'
[]
[energy_left]
variable = T_fluid
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'energy'
[]
[mass_right]
variable = pressure
type = PCNSFVStrongBC
boundary = right
eqn = 'mass'
pressure = 'exact_p'
[]
[momentum_right]
variable = sup_vel_x
type = PCNSFVStrongBC
boundary = right
eqn = 'momentum'
momentum_component = 'x'
pressure = 'exact_p'
[]
[energy_right]
variable = T_fluid
type = PCNSFVStrongBC
boundary = right
eqn = 'energy'
pressure = 'exact_p'
[]
# help gradient reconstruction
[pressure_right]
type = FVFunctionDirichletBC
variable = pressure
function = exact_p
boundary = 'right'
[]
[sup_vel_x_left]
type = FVFunctionDirichletBC
variable = sup_vel_x
function = exact_sup_vel_x
boundary = 'left'
[]
[T_fluid_left]
type = FVFunctionDirichletBC
variable = T_fluid
function = exact_T
boundary = 'left'
[]
[]
[Materials]
[var_mat]
type = PorousPrimitiveVarMaterial
pressure = pressure
superficial_vel_x = sup_vel_x
T_fluid = T_fluid
porosity = porosity
[]
[porosity]
type = GenericFunctionMaterial
prop_names = 'porosity'
prop_values = 'eps'
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.45300378856215*sin(1.1*x)'
[]
[exact_rho_ud]
type = ParsedFunction
expression = '3.13909435323832*cos(1.1*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '-0.9*(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + 0.9*(10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) + 3.13909435323832*sin(x)*cos(1.1*x)^2/cos(x)^2 - 6.9060075771243*sin(1.1*x)*cos(1.1*x)/cos(x)'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.2*x)'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '0.9*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(x)*cos(1.1*x)/cos(x)^2 - 0.99*(3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.2*x))*sin(1.1*x)/cos(x) + 0.9*(-(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) - 32.0927295688256*sin(1.2*x))*cos(1.1*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_eps_p]
type = ParsedFunction
expression = '3.13909435323832*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '0.9*cos(1.1*x)/cos(x)'
[]
[exact_superficial_velocity]
type = ParsedVectorFunction
expression_x = '0.9*cos(1.1*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = '0.9'
[]
[]
[Executioner]
solve_type = NEWTON
type = Transient
num_steps = 1
dtmin = 1
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2pressure]
type = ElementL2Error
variable = pressure
function = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_vel_x]
variable = sup_vel_x
function = exact_sup_vel_x
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2T_fluid]
variable = T_fluid
function = exact_T
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/misc/multiple-nl-systems/test-fv.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 20
[]
[Problem]
nl_sys_names = 'u v'
error_on_jacobian_nonzero_reallocation = true
[]
[Variables]
[u]
type = MooseVariableFVReal
solver_sys = 'u'
[]
[v]
type = MooseVariableFVReal
solver_sys = 'v'
[]
[]
[FVKernels]
[diff_u]
type = FVDiffusion
variable = u
coeff = 1.0
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = 1.0
[]
[force]
type = FVCoupledForce
variable = v
v = u
[]
[]
[FVBCs]
[left_u]
type = FVDirichletBC
variable = u
boundary = left
value = 0
[]
[right_u]
type = FVDirichletBC
variable = u
boundary = right
value = 1
[]
[left_v]
type = FVDirichletBC
variable = v
boundary = left
value = 0
[]
[right_v]
type = FVDirichletBC
variable = v
boundary = right
value = 1
[]
[]
[Executioner]
type = SteadySolve2
solve_type = 'NEWTON'
petsc_options = '-snes_monitor'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
first_nl_sys_to_solve = 'u'
second_nl_sys_to_solve = 'v'
[]
[Functions]
[exact]
type = ParsedFunction
value = '-1/6*x*x*x +7/6*x'
[]
[]
[Postprocessors]
[error]
type = ElementL2Error
function = exact
variable = v
execute_on = FINAL
outputs = 'csv'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = FINAL
[]
[]
[Outputs]
print_nonlinear_residuals = false
print_linear_residuals = false
exodus = true
[csv]
type = CSV
execute_on = 'FINAL'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/varying-eps-basic-kt-primitive.i)
[GlobalParams]
fp = fp
limiter = 'central_difference'
two_term_boundary_expansion = true
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[pressure]
type = MooseVariableFVReal
[]
[sup_vel_x]
type = MooseVariableFVReal
[]
[T_fluid]
type = MooseVariableFVReal
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = pressure
function = 'exact_p'
[]
[sup_vel_x]
type = FunctionIC
variable = sup_vel_x
function = 'exact_sup_vel_x'
[]
[T_fluid]
type = FunctionIC
variable = T_fluid
function = 'exact_T'
[]
[]
[FVKernels]
[mass_advection]
type = PCNSFVKT
variable = pressure
eqn = "mass"
[]
[mass_fn]
type = FVBodyForce
variable = pressure
function = 'forcing_rho'
[]
[momentum_x_advection]
type = PCNSFVKT
variable = sup_vel_x
momentum_component = x
eqn = "momentum"
[]
[eps_grad]
type = PNSFVPGradEpsilon
variable = sup_vel_x
momentum_component = 'x'
epsilon_function = 'eps'
[]
[momentum_fn]
type = FVBodyForce
variable = sup_vel_x
function = 'forcing_rho_ud'
[]
[fluid_energy_advection]
type = PCNSFVKT
variable = T_fluid
eqn = "energy"
[]
[energy_fn]
type = FVBodyForce
variable = T_fluid
function = 'forcing_rho_et'
[]
[]
[FVBCs]
[mass_left]
variable = pressure
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'mass'
[]
[momentum_left]
variable = sup_vel_x
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'momentum'
momentum_component = 'x'
[]
[energy_left]
variable = T_fluid
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'energy'
[]
[mass_right]
variable = pressure
type = PCNSFVStrongBC
boundary = right
eqn = 'mass'
pressure = 'exact_p'
[]
[momentum_right]
variable = sup_vel_x
type = PCNSFVStrongBC
boundary = right
eqn = 'momentum'
momentum_component = 'x'
pressure = 'exact_p'
[]
[energy_right]
variable = T_fluid
type = PCNSFVStrongBC
boundary = right
eqn = 'energy'
pressure = 'exact_p'
[]
# help gradient reconstruction
[pressure_right]
type = FVFunctionDirichletBC
variable = pressure
function = exact_p
boundary = 'right'
[]
[sup_vel_x_left]
type = FVFunctionDirichletBC
variable = sup_vel_x
function = exact_sup_vel_x
boundary = 'left'
[]
[T_fluid_left]
type = FVFunctionDirichletBC
variable = T_fluid
function = exact_T
boundary = 'left'
[]
[]
[Materials]
[var_mat]
type = PorousPrimitiveVarMaterial
pressure = pressure
superficial_vel_x = sup_vel_x
T_fluid = T_fluid
porosity = porosity
[]
[porosity]
type = GenericFunctionMaterial
prop_names = 'porosity'
prop_values = 'eps'
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.83667087618017*sin(1.1*x)*cos(1.3*x) - 4.53424739912202*sin(1.3*x)*cos(1.1*x)'
[]
[exact_rho_ud]
type = ParsedFunction
expression = '3.48788261470924*cos(1.1*x)*cos(1.3*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '(-(10.6975765229419*cos(1.5*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.5*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 16.0463647844128*sin(1.5*x)/cos(x))*cos(x))*cos(1.3*x) + 3.48788261470924*sin(x)*cos(1.1*x)^2*cos(1.3*x)/cos(x)^2 - 7.67334175236034*sin(1.1*x)*cos(1.1*x)*cos(1.3*x)/cos(x) - 4.53424739912202*sin(1.3*x)*cos(1.1*x)^2/cos(x)'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.5*x)'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '1.0*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(x)*cos(1.1*x)*cos(1.3*x)/cos(x)^2 - 1.1*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(1.1*x)*cos(1.3*x)/cos(x) - 1.3*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(1.3*x)*cos(1.1*x)/cos(x) + 1.0*(-(10.6975765229419*cos(1.5*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.5*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 16.0463647844128*sin(1.5*x)/cos(x))*cos(x) - 40.1159119610319*sin(1.5*x))*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.5*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_eps_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)*cos(1.3*x)'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '1.0*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = 'cos(1.3*x)'
[]
[exact_superficial_velocity]
type = ParsedVectorFunction
expression_x = '1.0*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[]
[Executioner]
solve_type = NEWTON
type = Transient
num_steps = 1
dtmin = 1
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2pressure]
type = ElementL2Error
variable = pressure
function = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_vel_x]
variable = sup_vel_x
function = exact_sup_vel_x
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2T_fluid]
variable = T_fluid
function = exact_T
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/postprocessors/nodal_var_value/pps_output_test.i)
[Mesh]
file = square-2x2-nodeids.e
# This test can only be run with renumering disabled, so the
# NodalVariableValue postprocessor's node id is well-defined.
allow_renumbering = false
[]
[Variables]
active = 'u v'
[./u]
order = SECOND
family = LAGRANGE
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
[]
[Functions]
active = 'force_fn exact_fn left_bc'
[./force_fn]
type = ParsedFunction
expression = '1-x*x+2*t'
[../]
[./exact_fn]
type = ParsedFunction
expression = '(1-x*x)*t'
[../]
[./left_bc]
type = ParsedFunction
expression = t
[../]
[]
[Kernels]
active = '
time_u diff_u ffn_u
time_v diff_v'
[./time_u]
type = TimeDerivative
variable = u
[../]
[./diff_u]
type = Diffusion
variable = u
[../]
[./ffn_u]
type = BodyForce
variable = u
function = force_fn
[../]
[./time_v]
type = TimeDerivative
variable = v
[../]
[./diff_v]
type = Diffusion
variable = v
[../]
[]
[BCs]
active = 'all_u left_v right_v'
[./all_u]
type = FunctionDirichletBC
variable = u
boundary = '1'
function = exact_fn
[../]
[./left_v]
type = FunctionDirichletBC
variable = v
boundary = '3'
function = left_bc
[../]
[./right_v]
type = DirichletBC
variable = v
boundary = '2'
value = 0
[../]
[]
[Postprocessors]
[./l2]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[./node1]
type = NodalVariableValue
variable = u
nodeid = 15
outputs = exodus
[../]
[./node4]
type = NodalVariableValue
variable = v
nodeid = 10
outputs = console
[../]
[./avg_v]
type = AverageElementSize
outputs = none
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
dt = 0.1
start_time = 0
end_time = 1
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-no-slip-walls.i)
mu=1.1
rho=1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
two_term_boundary_expansion = true
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[v]
type = INSFVVelocityVariable
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[u]
type = FunctionIC
function = 'exact_u'
variable = u
[]
[v]
type = FunctionIC
function = 'exact_v'
variable = v
[]
[pressure]
type = FunctionIC
function = 'exact_p'
variable = pressure
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_walls]
type = INSFVNoSlipWallBC
variable = u
boundary = 'left right'
function = 'exact_u'
[]
[v_walls]
type = INSFVNoSlipWallBC
variable = v
boundary = 'left right'
function = 'exact_v'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
function = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
function = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)*cos(y*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '2*pi^2*mu*sin(x*pi)*cos(y*pi) - 2*pi*rho*sin(x*pi)*sin(y*pi)*cos(1.3*x)*cos(y*pi) + 2*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi)^2 + 1.5*cos(1.5*x)*cos(1.6*y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(1.3*x)*cos(y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '1.69*mu*cos(1.3*x)*cos(y*pi) + pi^2*mu*cos(1.3*x)*cos(y*pi) - 1.3*rho*sin(1.3*x)*sin(x*pi)*cos(y*pi)^2 - 2*pi*rho*sin(y*pi)*cos(1.3*x)^2*cos(y*pi) + pi*rho*cos(1.3*x)*cos(x*pi)*cos(y*pi)^2 - 1.6*sin(1.5*x)*sin(1.6*y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(1.5*x)*cos(1.6*y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(1.3*x) + pi*rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(test/tests/mortar/continuity-3d-non-conforming/continuity_penalty_tet.i)
[Mesh]
second_order = false
[left_block]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 2
nz = 2
xmin = 0
xmax = 0.3
ymin = 0
ymax = .5
zmin = 0
zmax = .5
elem_type = TET4
[]
[left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3 4 5'
new_boundary = 'lb_bottom lb_back lb_right lb_front lb_left lb_top'
[]
[left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[]
[right_block]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 2
nz = 2
xmin = 0.3
xmax = 0.6
ymin = 0
ymax = .5
zmin = 0
zmax = .5
elem_type = TET4
[]
[right_block_id]
type = SubdomainIDGenerator
input = right_block
subdomain_id = 2
[]
[right_block_change_boundary_id]
type = RenameBoundaryGenerator
input = right_block_id
old_boundary = '0 1 2 3 4 5'
new_boundary = '100 101 102 103 104 105'
[]
[combined]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_change_boundary_id'
[]
[block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'left_block right_block'
[]
[right_right_sideset]
type = SideSetsAroundSubdomainGenerator
input = block_rename
new_boundary = rb_right
block = right_block
normal = '1 0 0'
[]
[right_left_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_right_sideset
new_boundary = rb_left
block = right_block
normal = '-1 0 0'
[]
[right_top_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_left_sideset
new_boundary = rb_top
block = right_block
normal = '0 0 1'
[]
[right_bottom_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_top_sideset
new_boundary = rb_bottom
block = right_block
normal = '0 0 -1'
[]
[right_front_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_bottom_sideset
new_boundary = rb_front
block = right_block
normal = '0 1 0'
[]
[right_back_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_front_sideset
new_boundary = rb_back
block = right_block
normal = '0 -1 0'
[]
[secondary]
input = right_back_sideset
type = LowerDBlockFromSidesetGenerator
sidesets = 'lb_right'
new_block_id = '12'
new_block_name = 'secondary'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'rb_left'
new_block_id = '11'
new_block_name = 'primary'
[]
[]
[Variables]
[T]
block = '1 2'
order = FIRST
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = 'lb_back lb_front lb_left lb_top lb_bottom rb_right rb_top rb_bottom rb_front rb_back'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = PenaltyEqualValueConstraint
primary_boundary = 'rb_left'
secondary_boundary = 'lb_right'
primary_subdomain = '11'
secondary_subdomain = '12'
secondary_variable = T
penalty_value = 1.0e5
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = 'left_block right_block'
[]
[h]
type = AverageElementSize
block = 'left_block right_block'
[]
[]
(modules/stochastic_tools/test/tests/multiapps/batch_commandline_control/sub.i)
[Mesh]
type = GeneratedMesh
dim = 1
[]
[Variables]
[u]
initial_condition = 1980
[]
[]
[Problem]
type = FEProblem
solve = false
[]
[Executioner]
type = Steady
[]
[Materials]
[const]
type = GenericConstantMaterial
prop_names = 'A B C D'
prop_values = '1.0 2.0 3.0 4.0'
[]
[]
[Postprocessors]
[size]
type = AverageElementSize
execute_on = 'initial'
[]
[prop_A]
type = ElementAverageMaterialProperty
mat_prop = A
execute_on = 'initial'
[]
[prop_B]
type = ElementAverageMaterialProperty
mat_prop = B
execute_on = 'initial'
[]
[prop_C]
type = ElementAverageMaterialProperty
mat_prop = C
execute_on = 'initial'
[]
[prop_D]
type = ElementAverageMaterialProperty
mat_prop = D
execute_on = 'initial'
[]
[]
(test/tests/variables/fe_hermite/hermite-3-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 1
ny = 1
nz = 1
elem_type = HEX27
# This problem only has 1 element, so using DistributedMesh in parallel
# isn't really an option, and we don't care that much about DistributedMesh
# in serial.
parallel_type = replicated
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./bc_fnk]
type = ParsedFunction
expression = -3*z*z
[../]
[./bc_fnf]
type = ParsedFunction
expression = 3*z*z
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y-6*z+(x*x*x)+(y*y*y)+(z*z*z)
[../]
[./solution]
type = ParsedGradFunction
value = (x*x*x)+(y*y*y)+(z*z*z)
grad_x = 3*x*x
grad_y = 3*y*y
grad_z = 3*z*z
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/mortar/continuity-3d-non-conforming/continuity_tet.i)
[Mesh]
second_order = false
[left_block]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 2
nz = 2
xmin = 0
xmax = 0.3
ymin = 0
ymax = .5
zmin = 0
zmax = .5
elem_type = TET4
[]
[left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3 4 5'
new_boundary = 'lb_bottom lb_back lb_right lb_front lb_left lb_top'
[]
[left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[]
[right_block]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 2
nz = 2
xmin = 0.3
xmax = 0.6
ymin = 0
ymax = .5
zmin = 0
zmax = .5
elem_type = TET4
[]
[right_block_id]
type = SubdomainIDGenerator
input = right_block
subdomain_id = 2
[]
[right_block_change_boundary_id]
type = RenameBoundaryGenerator
input = right_block_id
old_boundary = '0 1 2 3 4 5'
new_boundary = '100 101 102 103 104 105'
[]
[combined]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_change_boundary_id'
[]
[block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'left_block right_block'
[]
[right_right_sideset]
type = SideSetsAroundSubdomainGenerator
input = block_rename
new_boundary = rb_right
block = right_block
normal = '1 0 0'
[]
[right_left_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_right_sideset
new_boundary = rb_left
block = right_block
normal = '-1 0 0'
[]
[right_top_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_left_sideset
new_boundary = rb_top
block = right_block
normal = '0 0 1'
[]
[right_bottom_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_top_sideset
new_boundary = rb_bottom
block = right_block
normal = '0 0 -1'
[]
[right_front_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_bottom_sideset
new_boundary = rb_front
block = right_block
normal = '0 1 0'
[]
[right_back_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_front_sideset
new_boundary = rb_back
block = right_block
normal = '0 -1 0'
[]
[secondary]
input = right_back_sideset
type = LowerDBlockFromSidesetGenerator
sidesets = 'lb_right'
new_block_id = '12'
new_block_name = 'secondary'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'rb_left'
new_block_id = '11'
new_block_name = 'primary'
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Variables]
[T]
block = '1 2'
order = FIRST
[]
[lambda]
block = 'secondary'
family = MONOMIAL
order = CONSTANT
[]
[]
[BCs]
[neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = 'lb_back lb_front lb_left lb_top lb_bottom rb_right rb_top rb_bottom rb_front rb_back'
[]
[]
[Kernels]
[conduction]
type = Diffusion
variable = T
block = '1 2'
[]
[sink]
type = Reaction
variable = T
block = '1 2'
[]
[forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = '1 2'
[]
[]
[Functions]
[forcing_function]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_primal]
type = ParsedFunction
expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
[]
[exact_soln_lambda]
type = ParsedFunction
expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[mortar]
type = EqualValueConstraint
primary_boundary = 'rb_left'
secondary_boundary = 'lb_right'
primary_subdomain = '11'
secondary_subdomain = '12'
variable = lambda
secondary_variable = T
delta = .1
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
'-pc_factor_shift_amount'
petsc_options_value = 'lu basic NONZERO 1e-15'
[]
[Outputs]
exodus = true
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = 'left_block right_block'
[]
[h]
type = AverageElementSize
block = 'left_block right_block'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/varying-eps-basic-kt-mixed.i)
[GlobalParams]
fp = fp
limiter = 'central_difference'
two_term_boundary_expansion = true
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[pressure]
type = MooseVariableFVReal
[]
[sup_mom_x]
type = MooseVariableFVReal
[]
[T_fluid]
type = MooseVariableFVReal
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = pressure
function = 'exact_p'
[]
[sup_mom_x]
type = FunctionIC
variable = sup_mom_x
function = 'exact_rho_ud'
[]
[T_fluid]
type = FunctionIC
variable = T_fluid
function = 'exact_T'
[]
[]
[FVKernels]
[mass_advection]
type = PCNSFVKT
variable = pressure
eqn = "mass"
[]
[mass_fn]
type = FVBodyForce
variable = pressure
function = 'forcing_rho'
[]
[momentum_x_advection]
type = PCNSFVKT
variable = sup_mom_x
momentum_component = x
eqn = "momentum"
[]
[eps_grad]
type = PNSFVPGradEpsilon
variable = sup_mom_x
momentum_component = 'x'
epsilon_function = 'eps'
[]
[momentum_fn]
type = FVBodyForce
variable = sup_mom_x
function = 'forcing_rho_ud'
[]
[fluid_energy_advection]
type = PCNSFVKT
variable = T_fluid
eqn = "energy"
[]
[energy_fn]
type = FVBodyForce
variable = T_fluid
function = 'forcing_rho_et'
[]
[]
[FVBCs]
[mass_left]
variable = pressure
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'mass'
[]
[momentum_left]
variable = sup_mom_x
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'momentum'
momentum_component = 'x'
[]
[energy_left]
variable = T_fluid
type = PCNSFVStrongBC
boundary = left
T_fluid = 'exact_T'
superficial_velocity = 'exact_superficial_velocity'
eqn = 'energy'
[]
[mass_right]
variable = pressure
type = PCNSFVStrongBC
boundary = right
eqn = 'mass'
pressure = 'exact_p'
[]
[momentum_right]
variable = sup_mom_x
type = PCNSFVStrongBC
boundary = right
eqn = 'momentum'
momentum_component = 'x'
pressure = 'exact_p'
[]
[energy_right]
variable = T_fluid
type = PCNSFVStrongBC
boundary = right
eqn = 'energy'
pressure = 'exact_p'
[]
# help gradient reconstruction
[pressure_right]
type = FVFunctionDirichletBC
variable = pressure
function = exact_p
boundary = 'right'
[]
[sup_mom_x_left]
type = FVFunctionDirichletBC
variable = sup_mom_x
function = exact_rho_ud
boundary = 'left'
[]
[T_fluid_left]
type = FVFunctionDirichletBC
variable = T_fluid
function = exact_T
boundary = 'left'
[]
[]
[Materials]
[var_mat]
type = PorousMixedVarMaterial
pressure = pressure
superficial_rhou = sup_mom_x
T_fluid = T_fluid
porosity = porosity
[]
[porosity]
type = GenericFunctionMaterial
prop_names = 'porosity'
prop_values = 'eps'
[]
[]
[Functions]
[exact_rho]
type = ParsedFunction
expression = '3.48788261470924*cos(x)'
[]
[forcing_rho]
type = ParsedFunction
expression = '-3.83667087618017*sin(1.1*x)*cos(1.3*x) - 4.53424739912202*sin(1.3*x)*cos(1.1*x)'
[]
[exact_rho_ud]
type = ParsedFunction
expression = '3.48788261470924*cos(1.1*x)*cos(1.3*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '(-(10.6975765229419*cos(1.5*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.5*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 16.0463647844128*sin(1.5*x)/cos(x))*cos(x))*cos(1.3*x) + 3.48788261470924*sin(x)*cos(1.1*x)^2*cos(1.3*x)/cos(x)^2 - 7.67334175236034*sin(1.1*x)*cos(1.1*x)*cos(1.3*x)/cos(x) - 4.53424739912202*sin(1.3*x)*cos(1.1*x)^2/cos(x)'
[]
[exact_rho_et]
type = ParsedFunction
expression = '26.7439413073546*cos(1.5*x)'
[]
[forcing_rho_et]
type = ParsedFunction
expression = '1.0*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(x)*cos(1.1*x)*cos(1.3*x)/cos(x)^2 - 1.1*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(1.1*x)*cos(1.3*x)/cos(x) - 1.3*(3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x) + 26.7439413073546*cos(1.5*x))*sin(1.3*x)*cos(1.1*x)/cos(x) + 1.0*(-(10.6975765229419*cos(1.5*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + (10.6975765229419*sin(x)*cos(1.5*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 16.0463647844128*sin(1.5*x)/cos(x))*cos(x) - 40.1159119610319*sin(1.5*x))*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.5*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_eps_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)*cos(1.3*x)'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.5*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '1.0*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = 'cos(1.3*x)'
[]
[exact_superficial_velocity]
type = ParsedVectorFunction
expression_x = '1.0*cos(1.1*x)*cos(1.3*x)/cos(x)'
[]
[]
[Executioner]
solve_type = NEWTON
type = Transient
num_steps = 1
dtmin = 1
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2pressure]
type = ElementL2Error
variable = pressure
function = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_mom_x]
variable = sup_mom_x
function = exact_rho_ud
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2T_fluid]
variable = T_fluid
function = exact_T
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/bcs/penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -4+x*x+y*y
[../]
[./solution]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = FunctionPenaltyDirichletBC
variable = u
function = solution
boundary = 'top left right bottom'
penalty = 1e6
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/mortar/convergence-studies/gap-conductance/gap-conductance.i)
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Mesh]
second_order = true
[./left_block]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[../]
[./left_block_sidesets]
type = RenameBoundaryGenerator
input = left_block
old_boundary = '0 1 2 3'
new_boundary = 'lb_bottom lb_right lb_top lb_left'
[../]
[./left_block_id]
type = SubdomainIDGenerator
input = left_block_sidesets
subdomain_id = 1
[../]
[./right_block]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[../]
[./right_block_id]
type = SubdomainIDGenerator
input = right_block
subdomain_id = 2
[../]
[right_block_change_boundary_id]
type = RenameBoundaryGenerator
input = right_block_id
old_boundary = '0 1 2 3'
new_boundary = '100 101 102 103'
[]
[./combined]
type = MeshCollectionGenerator
inputs = 'left_block_id right_block_change_boundary_id'
[../]
[./block_rename]
type = RenameBlockGenerator
input = combined
old_block = '1 2'
new_block = 'left_block right_block'
[../]
[right_right_sideset]
type = SideSetsAroundSubdomainGenerator
input = block_rename
new_boundary = rb_right
block = right_block
normal = '1 0 0'
[]
[right_left_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_right_sideset
new_boundary = rb_left
block = right_block
normal = '-1 0 0'
[]
[right_top_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_left_sideset
new_boundary = rb_top
block = right_block
normal = '0 1 0'
[]
[right_bottom_sideset]
type = SideSetsAroundSubdomainGenerator
input = right_top_sideset
new_boundary = rb_bottom
block = right_block
normal = '0 -1 0'
[]
[secondary]
input = right_bottom_sideset
type = LowerDBlockFromSidesetGenerator
sidesets = 'lb_right'
new_block_id = '10001'
new_block_name = 'secondary_lower'
[]
[primary]
input = secondary
type = LowerDBlockFromSidesetGenerator
sidesets = 'rb_left'
new_block_id = '10000'
new_block_name = 'primary_lower'
[]
[]
[Variables]
[./T]
block = 'left_block right_block'
order = SECOND
[../]
[./lambda]
block = 'secondary_lower'
family = MONOMIAL
order = CONSTANT
[../]
[]
[BCs]
[./neumann]
type = FunctionGradientNeumannBC
exact_solution = exact_soln_primal
variable = T
boundary = 'lb_bottom lb_top lb_left rb_bottom rb_right rb_top'
[../]
[]
[Kernels]
[./conduction]
type = Diffusion
variable = T
block = 'left_block right_block'
[../]
[./sink]
type = Reaction
variable = T
block = 'left_block right_block'
[../]
[./forcing_function]
type = BodyForce
variable = T
function = forcing_function
block = 'left_block right_block'
[../]
[]
[Functions]
[./forcing_function]
type = ParsedFunction
expression = ''
[../]
[./exact_soln_primal]
type = ParsedFunction
expression = ''
[../]
[exact_soln_lambda]
type = ParsedFunction
expression = ''
[]
[mms_secondary]
type = ParsedFunction
expression = ''
[]
[mms_primary]
type = ParsedFunction
expression = ''
[]
[]
[Debug]
show_var_residual_norms = 1
[]
[Constraints]
[./mortar]
type = GapHeatConductanceTest
primary_boundary = rb_left
secondary_boundary = lb_right
primary_subdomain = primary_lower
secondary_subdomain = secondary_lower
secondary_variable = T
variable = lambda
secondary_gap_conductance = 1
primary_gap_conductance = 1
secondary_mms_function = mms_secondary
primary_mms_function = mms_primary
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
solve_type = NEWTON
type = Steady
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
csv = true
[dofmap]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[L2lambda]
type = ElementL2Error
variable = lambda
function = exact_soln_lambda
execute_on = 'timestep_end'
block = 'secondary_lower'
[]
[L2u]
type = ElementL2Error
variable = T
function = exact_soln_primal
execute_on = 'timestep_end'
block = 'left_block right_block'
[]
[h]
type = AverageElementSize
block = 'left_block right_block'
[]
[]
(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/navier_stokes/test/tests/finite_volume/ins/mms/cylindrical/2d-rc.i)
mu = 1.1
rho = 1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 1
xmax = 3
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = v
function = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(y)*sin(x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(y)*sin(x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*sin(y)*sin(x*pi) - (-x*pi^2*mu*sin(y)*sin(x*pi) + pi*mu*sin(y)*cos(x*pi))/x + '
'(2*x*pi*rho*sin(y)^2*sin(x*pi)*cos(x*pi) + rho*sin(y)^2*sin(x*pi)^2)/x + '
'(-1/2*x*pi*rho*sin(x)*sin(y)*sin(x*pi)*sin((1/2)*y*pi) + '
'x*rho*sin(x)*sin(x*pi)*cos(y)*cos((1/2)*y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin(x)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin(x)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) '
'+ cos(y) - (-x*mu*sin(x)*cos((1/2)*y*pi) + mu*cos(x)*cos((1/2)*y*pi))/x + '
'(x*pi*rho*sin(x)*sin(y)*cos(x*pi)*cos((1/2)*y*pi) + '
'x*rho*sin(y)*sin(x*pi)*cos(x)*cos((1/2)*y*pi) + '
'rho*sin(x)*sin(y)*sin(x*pi)*cos((1/2)*y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin(x)*sin((1/2)*y*pi) + (x*pi*rho*sin(y)*cos(x*pi) + '
'rho*sin(y)*sin(x*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/fvkernels/mms/non-orthogonal/advection-diffusion-reaction.i)
a=1.1
diff=1.1
[Mesh]
[./gen_mesh]
type = GeneratedMeshGenerator
dim = 2
xmin = 2
xmax = 3
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = TRI3
[../]
[]
[Variables]
[v]
type = MooseVariableFVReal
initial_condition = 1
[]
[]
[FVKernels]
[advection]
type = FVAdvection
variable = v
velocity = '${a} ${fparse 2*a} 0'
advected_interp_method = 'average'
[]
[reaction]
type = FVReaction
variable = v
[]
[diff_v]
type = FVDiffusion
variable = v
coeff = ${diff}
[]
[body_v]
type = FVBodyForce
variable = v
function = 'forcing'
[]
[]
[FVBCs]
[exact]
type = FVFunctionDirichletBC
boundary = 'left right top bottom'
function = 'exact'
variable = v
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 'sin(x)*cos(y)'
[]
[forcing]
type = ParsedFunction
expression = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
symbol_names = 'a diff'
symbol_values = '${a} ${diff}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[error]
type = ElementL2Error
variable = v
function = exact
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(test/tests/bcs/ad_penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -2*(x*x+y*y-2)+(1-x*x)*(1-y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (1-x*x)*(1-y*y)
grad_x = 2*(x*y*y-x)
grad_y = 2*(x*x*y-y)
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = ADDiffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = ADBodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = ADPenaltyDirichletBC
variable = u
value = 0
boundary = 'top left right bottom'
penalty = 1e5
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/outputs/debug/show_execution_userobjects.i)
[Mesh]
[cmg]
type = CartesianMeshGenerator
dim = 2
dx = '1.5 2.4'
dy = '1.3 0.9'
ix = '3 2'
iy = '2 3'
subdomain_id = '0 1
1 0'
[]
[add_interface]
type = SideSetsBetweenSubdomainsGenerator
input = 'cmg'
primary_block = 0
paired_block = 1
new_boundary = 'interface'
[]
second_order = true
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[]
[forcing_fnv]
type = ParsedFunction
expression = -4
[]
[slnu]
type = ParsedGradFunction
expression = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
# NeumannBC functions
[bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[]
[]
[Variables]
[u]
order = SECOND
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
initial_condition = 1
[]
[]
[AuxVariables]
[v_elem]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[diff1]
type = Diffusion
variable = u
[]
[test1]
type = CoupledConvection
variable = u
velocity_vector = v
[]
[diff2]
type = Diffusion
variable = v
[]
[react]
type = Reaction
variable = u
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[AuxKernels]
[set_v_elem]
type = FunctionAux
variable = v_elem
# selected not to be the solution for no particular reason
function = forcing_fnv
[]
[]
[BCs]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[]
[bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[]
[bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[]
[bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[]
[bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[]
[bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[]
[]
[Postprocessors]
# Global user objects
[dofs]
type = NumDOFs
[]
[h]
type = AverageElementSize
[]
# Elemental user objects
[L2u]
type = ElementL2Error
variable = u
function = slnu
# Testing an option
force_preic = true
[]
[L2v]
type = ElementL2Error
variable = v
function = slnv
# Testing an option
force_preaux = true
[]
[H1error]
type = ElementH1Error
variable = u
function = slnu
[]
[H1Semierror]
type = ElementH1SemiError
variable = u
function = slnu
[]
[L2v_elem]
type = ElementL2Error
variable = v_elem
function = slnv
[]
[f_integral]
type = FunctionElementIntegral
function = slnv
[]
[int_v]
type = ElementIntegralVariablePostprocessor
variable = v
block = 1
execute_on = 'TIMESTEP_END transfer'
[]
[int_v_elem]
type = ElementIntegralVariablePostprocessor
variable = v_elem
block = 1
execute_on = 'TIMESTEP_END transfer'
[]
# Side user objects
[integral_v]
type = SideIntegralVariablePostprocessor
variable = v
boundary = 0
[]
[]
[VectorPostprocessors]
# General UOs
[memory]
type = VectorMemoryUsage
[]
[line]
type = LineValueSampler
variable = v
num_points = 10
start_point = '0 0 0'
end_point = '0.5 0.5 0'
sort_by = 'x'
[]
# Nodal UOs
[nodal_sampler_y]
type = NodalValueSampler
variable = v
sort_by = 'y'
[]
[nodal_sampler_x]
type = NodalValueSampler
variable = v
sort_by = 'x'
[]
# Element UO
[elem_sample]
type = ElementValueSampler
variable = v_elem
sort_by = 'x'
[]
[]
[UserObjects]
# Nodal user objects
[find_node]
type = NearestNodeNumberUO
point = '0.5 0.5 0'
[]
# Side user objects
[side_int]
type = LayeredSideIntegral
variable = v
boundary = 0
direction = y
num_layers = 4
[]
[side_int_2]
type = NearestPointLayeredSideIntegral
variable = v
boundary = 0
direction = x
num_layers = 3
points = '1 1 0'
[]
# Interface user objects
[values]
type = InterfaceQpValueUserObject
var = v
boundary = interface
[]
inactive = 'prime_1 prime_2'
# Threaded general user objects
[prime_2]
type = PrimeProductUserObject
[]
[prime_1]
type = PrimeProductUserObject
[]
# Domain user objects
[domain_2]
type = InterfaceDomainUserObject
u = u
v = v
block = '0'
robin_boundaries = 'left'
interface_boundaries = 'interface'
interface_penalty = 1e-10
nl_abs_tol = 1e1
[]
[domain_1]
type = InterfaceDomainUserObject
u = u
v = v
block = '0 1'
robin_boundaries = 'left'
interface_boundaries = 'interface'
interface_penalty = 1e-10
nl_abs_tol = 1e1
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_tol = 1e-5
[]
[Problem]
kernel_coverage_check = false
[]
[MultiApps]
active = ''
[full_solve]
type = FullSolveMultiApp
execute_on = 'initial timestep_end final'
input_files = show_execution_userobjects.i
cli_args = 'Problem/solve=false'
[]
[]
[Transfers]
active = ''
[conservative]
type = MultiAppNearestNodeTransfer
from_multi_app = full_solve
source_variable = v
variable = v_elem
from_postprocessors_to_be_preserved = int_v
to_postprocessors_to_be_preserved = int_v_elem
[]
[]
[Debug]
show_execution_order = 'ALWAYS INITIAL NONLINEAR LINEAR TIMESTEP_BEGIN TIMESTEP_END FINAL'
[]