- variableThe name of the variable whose linear system this object contributes to
C++ Type:LinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable whose linear system this object contributes to
LinearFVSource
Description
This kernel contributes to the right hand side of a system which is solved for a linear finite volume variable MooseVariableLinearFVReal. The contribution for each cell is the numerical integral of the source density function () in the following form:
where and denote the source density at the cell centroid and the cell volume, respectively. This integral is added to the corresponding entry of the right hand side of the linear system. The source density parameter ("source_density") accepts anything that supports functor-based evaluations. For more information on functors in MOOSE, see Functor system.
Example Syntax
The case below demonstrates the use of LinearFVSource where the force term is supplied based upon a function form:
[LinearFVKernels<<<{"href": "../../syntax/LinearFVKernels/index.html"}>>>]
[reaction]
type = LinearFVReaction<<<{"description": "Represents the matrix and right hand side contributions of a reaction term ($c u$) in a partial differential equation.", "href": "LinearFVReaction.html"}>>>
variable<<<{"description": "The name of the variable whose linear system this object contributes to"}>>> = u
coeff<<<{"description": "The reaction coefficient. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = coeff_func
[]
[source]
type = LinearFVSource<<<{"description": "Represents the matrix and right hand side contributions of a solution-independent source term in a partial differential equation.", "href": "LinearFVSource.html"}>>>
variable<<<{"description": "The name of the variable whose linear system this object contributes to"}>>> = u
source_density<<<{"description": "The source density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = source_func
[]
[]Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- scaling_factor1Coefficient to multiply the body force term with. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Coefficient to multiply the body force term with. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
- source_density1The source density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:The source density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsrhsThe tag for the vectors this Kernel should fill
Default:rhs
C++ Type:MultiMooseEnum
Options:rhs, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- ghost_layers1The number of layers of elements to ghost.
Default:1
C++ Type:unsigned short
Controllable:No
Description:The number of layers of elements to ghost.
- use_point_neighborsFalseWhether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.
Parallel Ghosting Parameters
Input Files
- (test/tests/linearfvbcs/scalar_symmetry/advection-1d-symmetry.i)
- (test/tests/linearfvbcs/robin/advection-2d-robin.i)
- (test/tests/multiapps/linearfv_nonlinearfv/linearfv.i)
- (test/tests/linearfvbcs/scalar_symmetry/diffusion-2d-symmetry.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/spacedependent_mu/sl.i)
- (test/tests/linearfvbcs/robin/advection-1d-robin.i)
- (test/tests/multisystem/restore_multiapp/sub.i)
- (test/tests/time_integrators/implicit-euler/ie-linearfv.i)
- (test/tests/linearfvkernels/block-restriction/block-restricted-diffusion-react.i)
- (test/tests/multisystem/restore_multiapp/parent.i)
- (modules/navier_stokes/test/tests/finite_volume/wcns/enthalpy_equation/1d_test_h.i)
- (test/tests/linearfvkernels/diffusion/diffusion-1d.i)
- (test/tests/linearfvkernels/diffusion/diffusion-2d.i)
- (test/tests/linearfvkernels/block-restriction/block-restricted-diffusion.i)
- (test/tests/linearfvkernels/diffusion/diffusion-1d_neumann.i)
- (modules/navier_stokes/test/tests/finite_volume/wcns/enthalpy_equation/1d_test_h_fp.i)
- (test/tests/linearfvkernels/diffusion/diffusion-2d_neumann.i)
- (modules/heat_transfer/test/tests/linearfvbcs/linear_fv_functor_radiative_bc/linear_fv_functor_radiative_bc_mms.i)
- (test/tests/linearfvkernels/reaction/reaction-1d.i)
- (test/tests/linearfvbcs/scalar_symmetry/diffusion-1d-symmetry.i)
- (test/tests/linearfvkernels/advection/advection-2d.i)
- (test/tests/time_integrators/bdf2/linearfv.i)
- (modules/heat_transfer/test/tests/linearfvbcs/linear_fv_functor_radiative_bc/linear_fv_functor_radiative_bc_mms_2d.i)
- (test/tests/variables/linearfv/diffusion-1d-pp.i)
- (test/tests/linearfvkernels/anisotropic-diffusion/anisotropic-diffusion-2d.i)
- (test/tests/outputs/debug/show_execution_linear_fv_flux.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-symmetric-vortex-rz/2d-symmetric-vortex-rz-spacedependent.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-symmetric-vortex/2d-symmetric-vortex.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-symmetric-vortex-rz/2d-symmetric-vortex-rz.i)
- (test/tests/linearfvkernels/advection/advection-2d-rz.i)
- (test/tests/linearfvkernels/diffusion-reaction-advection/advection-diffusion-reaction-1d.i)
- (test/tests/linearfvbcs/scalar_symmetry/advection-2d-symmetry.i)
- (test/tests/linearfvkernels/advection/advection-1d.i)
- (modules/navier_stokes/test/tests/finite_volume/two_phase/mixture_model/segregated/channel-drift-flux.i)
- (test/tests/time_steppers/iteration_adaptive/adapt_linear_systems.i)
- (test/tests/tag/tag-linearfv.i)
- (test/tests/linearfvbcs/robin/diffusion-2d-robin.i)
- (test/tests/variables/linearfv/diffusion-1d-aux.i)
- (test/tests/linearfvkernels/diffusion/diffusion-2d-rz.i)
- (test/tests/linearfvkernels/block-restriction/block-restricted-adr.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/2d-vortex.i)
- (test/tests/multisystem/picard/linearfv_nonlinearfv/same_input.i)
- (test/tests/linearfvkernels/diffusion-reaction-advection/advection-diffusion-reaction-2d.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/cht/bulk_heat_transfer/flow-around-square-linear.i)
- (test/tests/linearfvbcs/robin/diffusion-1d-robin.i)
- (test/tests/transfers/multiapp_copy_transfer/linear_sys_to_aux/linear_sub.i)
- (test/tests/outputs/debug/show_execution_linear_fv_elemental.i)
source_density
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:The source density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
(test/tests/linearfvkernels/reaction/reaction-1d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[Functions]
[coeff_func]
type = ParsedFunction
expression = '1+sin(x)'
[]
[source_func]
type = ParsedFunction
expression = '(1+sin(x))*(1+cos(x))'
[]
[analytic_solution]
type = ParsedFunction
expression = '1+cos(x)'
[]
[]
[Postprocessors]
[l2error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = TIMESTEP_END
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
[]
[Outputs]
[exodus]
type = Exodus
execute_on = TIMESTEP_END
[]
[]
(test/tests/linearfvbcs/scalar_symmetry/advection-1d-symmetry.i)
vel = 0.1
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmin = 0
xmax = ${fparse pi}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[source_fn]
type = ParsedFunction
expression = '-${vel}*sin(x)'
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "${vel} 0 0"
advected_interp_method_name = average
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[rob_l]
type = LinearFVAdvectionDiffusionScalarSymmetryBC
variable = u
boundary = "left"
use_two_term_expansion = true
[]
[dirichlet]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "right"
functor = u_exact
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 4
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1e-10'
linear_convergence = linear
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/linearfvbcs/robin/advection-2d-robin.i)
##################################################################
c = 0.01 # advection velocity (+x direction)
amp = 1.0 # sinusoid amplitude, for u_exact
u0 = 1.2 # any positive constant > 1.0
x_l = ${fparse 0.0*pi}
x_r = ${fparse pi}
y_l = ${fparse 0.0*pi}
y_r = ${fparse 1.0*pi}
alpha = 5.000 # robin BC coeff for gradient term
beta = 2.000 # robin BC coeff for variable term
nx = 2
ny = 2
##################################################################
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = ${nx}
ny = ${ny}
xmin = ${x_l}
xmax = ${x_r}
ymin = ${y_l}
ymax = ${y_r}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.01
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = '${amp} * (${u0} - cos(x)) * sin(y)'
[]
[source_fn]
type = ParsedFunction
expression = '${fparse c*amp} * sin(x) * sin(y)'
[]
[gamma_fn]
type = ParsedFunction
expression = '(${fparse -amp*alpha}*sin(x)*sin(y)) + (${beta} * u_e)'
symbol_names = 'u_e'
symbol_values = 'u_exact'
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "${c} 0 0"
advected_interp_method_name = average
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[rob_l]
type = LinearFVAdvectionDiffusionFunctorRobinBC
variable = u
boundary = "left"
alpha = ${alpha}
beta = ${beta}
gamma = gamma_fn
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = true
[]
[top]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "top"
functor = 0.0
[]
[bottom]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "bottom"
functor = 0.0
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 4
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1e-10'
linear_convergence = linear
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/multiapps/linearfv_nonlinearfv/linearfv.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 6
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[AuxVariables]
[diff_var]
type = MooseVariableFVReal
initial_condition = 2.0
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = diff_var
[]
[source]
type = LinearFVSource
variable = u
source_density = 1
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = 1
[]
[]
[MultiApps]
inactive = 'nonlinear'
[nonlinear]
type = FullSolveMultiApp
input_files = nonlinearfv.i
execute_on = timestep_begin
no_restore = true
[]
[]
[Transfers]
inactive = 'from_nonlinear to_nonlinear'
[from_nonlinear]
type = MultiAppCopyTransfer
from_multi_app = nonlinear
source_variable = 'v'
variable = 'diff_var'
execute_on = timestep_begin
[]
[to_nonlinear]
type = MultiAppCopyTransfer
to_multi_app = nonlinear
source_variable = 'u'
variable = 'diff_var'
execute_on = timestep_begin
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu mumps'
fixed_point_rel_tol = 1e-10
[]
[Outputs]
exodus = true
execute_on = timestep_end
[]
(test/tests/linearfvbcs/scalar_symmetry/diffusion-2d-symmetry.i)
diff = 0.1 # diffusion coeff.
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = ${fparse pi/3}
ymin = 0
ymax = ${fparse pi/3}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.0
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = 'cos(x)*cos(y)'
[]
[source_fn]
type = ParsedFunction
expression = '2*${diff}*cos(x)*cos(y)'
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = ${diff}
use_nonorthogonal_correction = true
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "right top"
functor = u_exact
[]
[symm]
type = LinearFVAdvectionDiffusionScalarSymmetryBC
variable = u
boundary = "bottom left"
use_two_term_expansion = true
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 10
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
multi_system_fixed_point = true
multi_system_fixed_point_convergence = linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
linear_convergence = linear
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/spacedependent_mu/sl.i)
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
use_deviatoric_terms = false
[]
[v_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_y
advected_interp_method = ${advected_interp_method}
mu = 'mu'
u = vel_x
v = vel_y
momentum_component = 'y'
rhie_chow_user_object = 'rc'
use_nonorthogonal_correction = false
use_deviatoric_terms = false
[]
[u_pressure]
type = LinearFVMomentumPressure
variable = vel_x
pressure = pressure
momentum_component = 'x'
[]
[v_pressure]
type = LinearFVMomentumPressure
variable = vel_y
pressure = pressure
momentum_component = 'y'
[]
[u_forcing]
type = LinearFVSource
variable = vel_x
source_density = forcing_u
[]
[v_forcing]
type = LinearFVSource
variable = vel_y
source_density = forcing_v
[]
[p_diffusion]
type = LinearFVAnisotropicDiffusion
variable = pressure
diffusion_tensor = Ainv
use_nonorthogonal_correction = false
use_nonorthogonal_correction_on_boundary = false
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = HbyA
force_boundary_execution = true
[]
[]
[LinearFVBCs]
[no-slip-wall-u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top bottom'
variable = vel_x
functor = '0'
[]
[no-slip-wall-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top bottom'
variable = vel_y
functor = '0'
[]
[pressure-extrapolation]
type = LinearFVExtrapolatedPressureBC
boundary = 'left right top bottom'
variable = pressure
use_two_term_expansion = true
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)'
[]
[mu]
type = ParsedFunction
expression = '1+(x-1)*x*(y-1)*y'
[]
[forcing_u]
type = ParsedFunction
expression = '-(2*x-1)*y*(y-1)*(2*x-6*x^2+4*x^3)*(2*y-6*y^2+4*y^3)'
'-(1+x*(x-1)*y*(y-1))*(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2)'
'-(2*y-1)*x*(x-1)*(x^2*(1-x)^2*(2-12*y+12*y^2))'
'-(1+x*(x-1)*y*(y-1))*(x^2*(1-x)^2*(-12+24*y))'
'+1-2*x+rho*4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(2*y-1)*x*(x-1)*(2*y-6*y^2+4*y^3)*(2*x-6*x^2+4*x^3)'
'+(1+x*(x-1)*y*(y-1))*(2-12*y+12*y^2)*(2*x-6*x^2+4*x^3)'
'+(2*x-1)*y*(y-1)*(y^2*(1-y)^2*(2-12*x+12*x^2))'
'+(1+x*(x-1)*y*(y-1))*(y^2*(1-y)^2*(-12+24*x))'
'+rho*4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u_deviatoric]
type = ParsedFunction
expression = '-2*(2*x-1)*y*(y-1)*(2*x-6*x^2+4*x^3)*(2*y-6*y^2+4*y^3)'
'-2*(1+x*(x-1)*y*(y-1))*(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2)'
'-(2*y-1)*x*(x-1)*(x^2*(1-x)^2*(2-12*y+12*y^2)-y^2*(1-y)^2*(2-12*x+12*x^2))'
'-(1+x*(x-1)*y*(y-1))*(x^2*(1-x)^2*(-12+24*y)-(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2))'
'+1-2*x+rho*4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v_deviatoric]
type = ParsedFunction
expression = '2*(2*y-1)*x*(x-1)*(2*y-6*y^2+4*y^3)*(2*x-6*x^2+4*x^3)'
'+2*(1+x*(x-1)*y*(y-1))*(2-12*y+12*y^2)*(2*x-6*x^2+4*x^3)'
'-(2*x-1)*y*(y-1)*(x^2*(1-x)^2*(2-12*y+12*y^2)-y^2*(1-y)^2*(2-12*x+12*x^2))'
'-(1+x*(x-1)*y*(y-1))*(-y^2*(1-y)^2*(-12+24*x)+(2*x-6*x^2+4*x^3)*(2-12*y+12*y^2))'
'+rho*4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-10
pressure_l_abs_tol = 1e-10
momentum_l_max_its = 30
pressure_l_max_its = 30
momentum_l_tol = 0.0
pressure_l_tol = 0.0
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
[]
[]
(test/tests/linearfvbcs/robin/advection-1d-robin.i)
##################################################################
c = 0.1 # advection velocity (+x direction)
amp = 7.0 # sinusoid amplitude, for u_exact
x_l = ${fparse 0.0*pi} # domain bound (left)
x_r = ${fparse pi} # domain bound (right)
alpha = 5.000 # robin BC coeff for gradient term
beta = 2.000 # robin BC coeff for variable term
u0 = 3 # some positive constant for the solution, > 1
gamma = ${fparse (-alpha*amp*sin(x_l)) + beta*amp*(u0 - cos(x_l))} # RHS of Robin BC, applied at left boundary
npts = 2
##################################################################
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = ${npts}
xmin = ${x_l}
xmax = ${x_r}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.0
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = '${amp}*(${u0} - cos(x))'
[]
[source_fn]
type = ParsedFunction
expression = '${fparse c*amp}*sin(x)'
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "${c} 0 0"
advected_interp_method_name = average
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[rob_l]
type = LinearFVAdvectionDiffusionFunctorRobinBC
variable = u
boundary = "left"
alpha = ${alpha}
beta = ${beta}
gamma = ${gamma}
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = true
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 4
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1e-10'
linear_convergence = linear
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/multisystem/restore_multiapp/sub.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 6
[]
[]
[Problem]
nl_sys_names = 'v_sys'
linear_sys_names = 'u_sys'
[]
[Variables]
[v]
type = MooseVariableFVReal
initial_condition = 2.0
solver_sys = v_sys
[]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[FVKernels]
[diffusion]
type = FVDiffusion
variable = v
coeff = u
[]
[source]
type = FVBodyForce
variable = v
function = 3
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = v
[]
[source]
type = LinearFVSource
variable = u
source_density = 1
[]
[]
[FVBCs]
[dir]
type = FVFunctorDirichletBC
variable = v
boundary = "left right"
functor = 2
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = 1
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 6
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
#type = Transient
#steady_state_detection = true
system_names = 'v_sys u_sys'
l_abs_tol = 1e-12
l_tol = 1e-10
nl_abs_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
#execute_on = timestep_end
[]
(test/tests/time_integrators/implicit-euler/ie-linearfv.i)
###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of the TimeIntegrator system.
#
# Testing a solution that is second order in space
# and first order in time
#
# @Requirement F1.30
###########################################################
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.0
[]
[]
[Functions]
[forcing_fn]
type = ParsedFunction
expression = ((x*x)+(y*y))-(4*t)
[]
[exact_fn]
type = ParsedFunction
expression = t*((x*x)+(y*y))
[]
[]
[LinearFVKernels]
[ie]
type = LinearFVTimeDerivative
variable = u
[]
[diff]
type = LinearFVDiffusion
variable = u
[]
[source]
type = LinearFVSource
variable = u
source_density = forcing_fn
[]
[]
[LinearFVBCs]
[all]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = '0 1 2 3'
functor = exact_fn
[]
[]
[Postprocessors]
[l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[]
[]
[Executioner]
type = Transient
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
# Test of the TimeIntegrator System
scheme = 'implicit-euler'
start_time = 0.0
num_steps = 5
dt = 0.25
[]
[Outputs]
exodus = true
[]
(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 = TIMESTEP_END
block = 2
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = TIMESTEP_END
block = 2
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_rtol'
petsc_options_value = 'hypre boomeramg 1e-10'
[]
[Outputs]
[csv]
type = CSV
execute_on = TIMESTEP_END
[]
[]
(test/tests/multisystem/restore_multiapp/parent.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 6
[]
[]
[Problem]
nl_sys_names = 'v_sys'
linear_sys_names = 'u_sys'
[]
[Variables]
[v]
type = MooseVariableFVReal
initial_condition = 2.0
solver_sys = v_sys
[]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[FVKernels]
[diffusion]
type = FVDiffusion
variable = v
coeff = u
[]
[source]
type = FVBodyForce
variable = v
function = 3
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = v
[]
[source]
type = LinearFVSource
variable = u
source_density = 1
[]
[]
[FVBCs]
[dir]
type = FVFunctorDirichletBC
variable = v
boundary = "left right"
functor = 2
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = 1
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 6
converge_at_max_iterations = true
[]
[]
[MultiApps]
[sub]
type = FullSolveMultiApp
input_files = sub.i
execute_on = TIMESTEP_END
keep_solution_during_restore = true
# The choice does not matter here, but conceptually there is no need to override
# the old solution when the subapp is a Steady solve
update_old_solution_when_keeping_solution_during_restore = false
[]
[]
[Executioner]
type = Steady
system_names = 'v_sys u_sys'
l_abs_tol = 1e-12
l_tol = 1e-10
nl_abs_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
fixed_point_max_its = 2
fixed_point_min_its = 2
#disable_fixed_point_residual_norm_check = true
accept_on_max_fixed_point_iteration = true
[]
(modules/navier_stokes/test/tests/finite_volume/wcns/enthalpy_equation/1d_test_h.i)
L = 30
nx = 600
bulk_u = 0.01
q_source = 50000.
A_cp = 976.78
B_cp = 1.0634
T_in = 860.
p_ref = 101325.0
rho = 2000.
advected_interp_method = 'upwind'
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = ${L}
nx = ${nx}
[]
allow_renumbering = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
advected_interp_method = ${advected_interp_method}
u = vel_x
[]
[Problem]
linear_sys_names = 'u_system pressure_system energy_system'
previous_nl_solution_required = true
[]
[UserObjects]
[rc]
type = RhieChowMassFlux
u = vel_x
pressure = pressure
rho = 'rho'
p_diffusion_kernel = p_diffusion
[]
[]
[Variables]
[vel_x]
type = MooseLinearVariableFVReal
solver_sys = u_system
initial_condition = ${bulk_u}
[]
[pressure]
type = MooseLinearVariableFVReal
solver_sys = pressure_system
initial_condition = ${p_ref}
[]
[h]
type = MooseLinearVariableFVReal
solver_sys = energy_system
initial_condition = ${fparse 860.*1900.}
[]
[]
[AuxVariables]
[rho_var]
type = MooseLinearVariableFVReal
[]
[cp_var]
type = MooseLinearVariableFVReal
[]
[mu_var]
type = MooseLinearVariableFVReal
[]
[k_var]
type = MooseLinearVariableFVReal
[]
[T]
type = MooseLinearVariableFVReal
initial_condition = 860.
[]
[h_aux]
type = MooseLinearVariableFVReal
[]
[]
[LinearFVKernels]
[u_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_x
mu = 'mu'
momentum_component = 'x'
use_nonorthogonal_correction = false
[]
[u_pressure]
type = LinearFVMomentumPressure
variable = vel_x
pressure = pressure
momentum_component = 'x'
[]
[p_diffusion]
type = LinearFVAnisotropicDiffusion
variable = pressure
diffusion_tensor = Ainv
use_nonorthogonal_correction = false
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = HbyA
force_boundary_execution = true
[]
[temp_advection]
type = LinearFVEnergyAdvection
variable = h
[]
[source]
type = LinearFVSource
variable = h
source_density = source_func
[]
[]
[LinearFVBCs]
[inlet_u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left'
variable = vel_x
functor = ${bulk_u} #${bulk_u} #'fully_developed_velocity'
[]
[inlet_h]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = h
boundary = 'left'
functor = 'h_from_p_T'
[]
[inlet_T]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = T
boundary = 'left'
functor = ${T_in}
[]
[outlet_p]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'right'
variable = pressure
functor = ${p_ref}
[]
[outlet_h]
type = LinearFVAdvectionDiffusionOutflowBC
variable = h
use_two_term_expansion = false
boundary = 'right'
[]
[outlet_u]
type = LinearFVAdvectionDiffusionOutflowBC
variable = vel_x
use_two_term_expansion = false
boundary = 'right'
[]
[]
[Functions]
[source_func]
type = ParsedFunction
expression = ${q_source}
[]
[T_analytical]
type = ParsedFunction
expression = ${fparse (-A_cp+sqrt(A_cp^2-2*B_cp*(-q_source/rho/bulk_u*L-A_cp*T_in-B_cp/2*T_in*T_in)))/B_cp}
[]
[]
[FunctorMaterials]
[enthalpy_material]
type = LinearFVEnthalpyFunctorMaterial
pressure = ${p_ref}
T_fluid = T
h = h
h_from_p_T_functor = h_from_p_T_functor
T_from_p_h_functor = T_from_p_h_functor
[]
[h_from_p_T_functor]
type = ParsedFunctorMaterial
property_name = 'h_from_p_T_functor'
functor_names = 'T'
expression = '${A_cp}*T+${B_cp}/2*(T^2)'
[]
[T_from_p_h_functor]
type = ParsedFunctorMaterial
property_name = 'T_from_p_h_functor'
functor_names = 'h'
expression = '(-${A_cp}+sqrt(${A_cp}^2+2*h*${B_cp}))/${B_cp}'
[]
[rho]
type = ADParsedFunctorMaterial
property_name = 'rho'
functor_names = 'T'
expression = ${rho}
[]
[cp]
type = ADParsedFunctorMaterial
property_name = 'cp'
functor_names = 'T'
expression = '${A_cp}+${B_cp}*T'
[]
[mu]
type = ADParsedFunctorMaterial
property_name = 'mu'
functor_names = 'T'
expression = '4.5e-3'
[]
[k]
type = ADParsedFunctorMaterial
property_name = 'k'
functor_names = 'T'
expression = 0.7
[]
[]
[AuxKernels]
[rho_out]
type = FunctorAux
functor = 'rho'
variable = 'rho_var'
execute_on = 'NONLINEAR'
[]
[cp_out]
type = FunctorAux
functor = 'cp'
variable = 'cp_var'
execute_on = 'NONLINEAR'
[]
[mu_out]
type = FunctorAux
functor = 'mu'
variable = 'mu_var'
execute_on = 'NONLINEAR'
[]
[k_out]
type = FunctorAux
functor = 'k'
variable = 'k_var'
execute_on = 'NONLINEAR'
[]
[T_from_h_functor_aux]
type = FunctorAux
functor = 'T_from_p_h'
variable = 'T'
execute_on = 'NONLINEAR'
[]
[h_from_T_functor_aux]
type = FunctorAux
functor = 'h_from_p_T'
variable = 'h_aux'
execute_on = 'NONLINEAR'
[]
[]
[Postprocessors]
[T_out_sim]
type = ElementalVariableValue
variable = T
elementid = ${fparse nx-1}
[]
[T_out_analytic]
type = FunctionValuePostprocessor
function = T_analytical
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-12
pressure_l_abs_tol = 1e-12
energy_l_abs_tol = 1e-12
momentum_l_tol = 0
pressure_l_tol = 0
energy_l_tol = 0
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system'
pressure_system = 'pressure_system'
energy_system = 'energy_system'
momentum_equation_relaxation = 0.7
pressure_variable_relaxation = 0.3
energy_equation_relaxation = 0.95
num_iterations = 100
pressure_absolute_tolerance = 1e-8
momentum_absolute_tolerance = 1e-8
energy_absolute_tolerance = 1e-6
print_fields = false
momentum_l_max_its = 200
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'
energy_petsc_options_iname = '-pc_type -pc_hypre_type'
energy_petsc_options_value = 'hypre boomeramg'
continue_on_max_its = true
[]
[Outputs]
[out]
type = CSV
[]
[]
(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
[]
[]
[FVInterpolationMethods]
[geom]
type = FVGeometricAverage
[]
[harm]
type = FVHarmonicAverage
[]
[]
[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'
[]
[coeff_pos_func]
type = ParsedFunction
expression = '1+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 = Steady
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/linearfvkernels/diffusion/diffusion-1d_neumann.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 = "right"
functor = analytic_solution
[]
[neu]
type = LinearFVAdvectionDiffusionFunctorNeumannBC
variable = u
boundary = "left"
functor = analytic_solution_neumann
[]
[]
[Functions]
[coeff_func]
type = ParsedFunction
expression = '0.5*x'
[]
[source_func]
type = ParsedFunction
expression = '2*x'
[]
[analytic_solution]
type = ParsedFunction
expression = '1-x*x'
[]
[analytic_solution_neumann]
type = ParsedFunction
expression = '-(0.5*x)*(-2*x)'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
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/wcns/enthalpy_equation/1d_test_h_fp.i)
L = 30
nx = 600
bulk_u = 0.01
p_ref = 101325.0
T_in = 860.
q_source = 20000.
advected_interp_method = 'upwind'
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = ${L}
nx = ${nx}
[]
allow_renumbering = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
advected_interp_method = ${advected_interp_method}
u = vel_x
[]
[Problem]
linear_sys_names = 'u_system pressure_system energy_system'
previous_nl_solution_required = true
[]
[UserObjects]
[rc]
type = RhieChowMassFlux
u = vel_x
pressure = pressure
rho = 'rho'
p_diffusion_kernel = p_diffusion
[]
[]
[Variables]
[vel_x]
type = MooseLinearVariableFVReal
solver_sys = u_system
initial_condition = ${bulk_u}
[]
[pressure]
type = MooseLinearVariableFVReal
solver_sys = pressure_system
initial_condition = ${p_ref}
[]
[h]
type = MooseLinearVariableFVReal
solver_sys = energy_system
initial_condition = ${fparse 860.*240.}
[]
[]
[AuxVariables]
[rho_var]
type = MooseLinearVariableFVReal
[]
[cp_var]
type = MooseLinearVariableFVReal
[]
[mu_var]
type = MooseLinearVariableFVReal
[]
[k_var]
type = MooseLinearVariableFVReal
[]
[T]
type = MooseLinearVariableFVReal
initial_condition = ${T_in}
[]
[h_aux]
type = MooseLinearVariableFVReal
[]
[]
[LinearFVKernels]
[u_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_x
mu = 'mu'
momentum_component = 'x'
use_nonorthogonal_correction = false
[]
[u_pressure]
type = LinearFVMomentumPressure
variable = vel_x
pressure = pressure
momentum_component = 'x'
[]
[p_diffusion]
type = LinearFVAnisotropicDiffusion
variable = pressure
diffusion_tensor = Ainv
use_nonorthogonal_correction = false
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = HbyA
force_boundary_execution = true
[]
[temp_advection]
type = LinearFVEnergyAdvection
variable = h
[]
[source]
type = LinearFVSource
variable = h
source_density = source_func
[]
[]
[LinearFVBCs]
[inlet_u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left'
variable = vel_x
functor = ${bulk_u}
[]
[inlet_h]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = h
boundary = 'left'
functor = 'h_from_p_T'
[]
[inlet_T]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = T
boundary = 'left'
functor = ${T_in}
[]
[outlet_p]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'right'
variable = pressure
functor = ${p_ref}
[]
[outlet_h]
type = LinearFVAdvectionDiffusionOutflowBC
variable = h
use_two_term_expansion = false
boundary = 'right'
[]
[outlet_u]
type = LinearFVAdvectionDiffusionOutflowBC
variable = vel_x
use_two_term_expansion = false
boundary = 'right'
[]
[]
[FluidProperties]
[lead]
type = LeadFluidProperties
[]
[]
[FunctorMaterials]
[enthalpy_material]
type = LinearFVEnthalpyFunctorMaterial
pressure = ${p_ref}
T_fluid = T
h = h
fp = lead
[]
[fluid_props_to_mat_props]
type = GeneralFunctorFluidProps
fp = lead
pressure = ${p_ref}
T_fluid = 'T'
speed = 1
porosity = 1
characteristic_length = 1
[]
[source_func]
type = ADParsedFunctorMaterial
property_name = source_func
functor_names = 'rho'
expression = ${q_source}
[]
[]
[AuxKernels]
[rho_out]
type = FunctorAux
functor = 'rho'
variable = 'rho_var'
execute_on = 'NONLINEAR'
[]
[cp_out]
type = FunctorAux
functor = 'cp'
variable = 'cp_var'
execute_on = 'NONLINEAR'
[]
[mu_out]
type = FunctorAux
functor = 'mu'
variable = 'mu_var'
execute_on = 'NONLINEAR'
[]
[k_out]
type = FunctorAux
functor = 'k'
variable = 'k_var'
execute_on = 'NONLINEAR'
[]
[T_from_h_functor_aux]
type = FunctorAux
functor = 'T_from_p_h'
variable = 'T'
execute_on = 'NONLINEAR'
[]
[h_from_T_functor_aux]
type = FunctorAux
functor = 'h_from_p_T'
variable = 'h_aux'
execute_on = 'NONLINEAR'
[]
[]
[Postprocessors]
[T_out_sim]
type = ElementalVariableValue
variable = T
elementid = ${fparse nx-1}
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-12
pressure_l_abs_tol = 1e-12
energy_l_abs_tol = 1e-12
momentum_l_tol = 0
pressure_l_tol = 0
energy_l_tol = 0
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system'
pressure_system = 'pressure_system'
energy_system = 'energy_system'
momentum_equation_relaxation = 0.7
pressure_variable_relaxation = 0.3
energy_equation_relaxation = 0.95
num_iterations = 100
pressure_absolute_tolerance = 1e-8
momentum_absolute_tolerance = 1e-8
energy_absolute_tolerance = 1e-6
print_fields = false
momentum_l_max_its = 200
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'
energy_petsc_options_iname = '-pc_type -pc_hypre_type'
energy_petsc_options_value = 'hypre boomeramg'
continue_on_max_its = true
[]
[Outputs]
[out]
type = CSV
[]
[]
(test/tests/linearfvkernels/diffusion/diffusion-2d_neumann.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"
functor = analytic_solution
[]
[neu_bottom]
type = LinearFVAdvectionDiffusionFunctorNeumannBC
variable = u
boundary = "bottom"
functor = analytic_solution_neumann_bottom
diffusion_coeff = coeff_func
[]
[neu_top]
type = LinearFVAdvectionDiffusionFunctorNeumannBC
variable = u
boundary = "top"
functor = analytic_solution_neumann_top
diffusion_coeff = coeff_func
[]
[]
[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)'
[]
[analytic_solution_neumann_bottom]
type = ParsedFunction
expression = '-(1+0.5*x*y)*(1.5-x*x)*(-2*y)'
[]
[analytic_solution_neumann_top]
type = ParsedFunction
expression = '(1+0.5*x*y)*(1.5-x*x)*(-2*y)'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
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/linearfvbcs/linear_fv_functor_radiative_bc/linear_fv_functor_radiative_bc_mms.i)
# MMS convergence test for LinearFVFunctorRadiativeBC.
#
# Exact solution: T_exact(x) = T_L + B * (exp(x) - 1)
# where B = (T_R_mms - T_L) / (e - 1).
#
# This satisfies:
# Left BC: T(0) = T_L (Dirichlet)
# Right BC: -k * T'(1) = sigma*eps*(T_R_mms^4 - T_inf^4) (radiative)
# with T'(1) = B*e = (T_R_mms - T_L)*e/(e-1)
# i.e. k*(T_L - T_R_mms)*e/(e-1) = sigma*eps*(T_R_mms^4 - T_inf^4)
# Source: f(x) = -k * T_exact'' = -k * B * exp(x) (spatially varying)
#
# The exponential profile produces non-trivial interior discretization error,
# ensuring the convergence test exercises both the FV interior scheme and the
# Robin boundary condition simultaneously.
#
# T_R_mms must be supplied via CLI args, as the root of:
# k*(T_L - T_R)*e/(e-1) = sigma*eps*(T_R^4 - T_inf^4)
# (computed in the Python convergence script).
T_L = 1000.0
T_inf = 300.0
k = 1.0
eps = 1.0
T_R_mms = 0 # set via CLI: T_R_mms=<value>
B_mms = '${fparse (T_R_mms - T_L) / (exp(1.0) - 1.0)}'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
nx = 10 # overridden by CLI: Mesh/gen/nx=<N>
xmin = 0
xmax = 1
[]
[]
[Problem]
linear_sys_names = 'heat_system'
[]
[Variables]
[T]
type = MooseLinearVariableFVReal
solver_sys = 'heat_system'
initial_condition = ${T_L}
[]
[]
[Functions]
[exact_T]
type = ParsedFunction
expression = 'T_L + B_mms * (exp(x) - 1.0)'
symbol_names = 'T_L B_mms'
symbol_values = '${T_L} ${B_mms}'
[]
[source_fn]
type = ParsedFunction
expression = '-k * B_mms * exp(x)'
symbol_names = 'k B_mms'
symbol_values = '${k} ${B_mms}'
[]
[]
[LinearFVKernels]
[time]
type = LinearFVTimeDerivative
variable = T
[]
[diffusion]
type = LinearFVDiffusion
variable = T
diffusion_coeff = ${k}
[]
[source]
type = LinearFVSource
variable = T
source_density = source_fn
[]
[]
[LinearFVBCs]
[left]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = T
boundary = 'left'
functor = ${T_L}
[]
[right]
type = LinearFVFunctorRadiativeBC
variable = T
boundary = 'right'
emissivity = ${eps}
Tinfinity = ${T_inf}
diffusion_coeff = ${k}
[]
[]
[Postprocessors]
[l2_error]
type = ElementL2FunctorError
approximate = T
exact = exact_T
execute_on = TIMESTEP_END
[]
[]
[Executioner]
type = Transient
system_names = heat_system
scheme = 'implicit-euler'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1e6
num_steps = 100
l_tol = 1e-12
[]
[Outputs]
[out]
type = CSV
execute_on = final
[]
[]
(test/tests/linearfvkernels/reaction/reaction-1d.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[Functions]
[coeff_func]
type = ParsedFunction
expression = '1+sin(x)'
[]
[source_func]
type = ParsedFunction
expression = '(1+sin(x))*(1+cos(x))'
[]
[analytic_solution]
type = ParsedFunction
expression = '1+cos(x)'
[]
[]
[Postprocessors]
[l2error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = TIMESTEP_END
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
[]
[Outputs]
[exodus]
type = Exodus
execute_on = TIMESTEP_END
[]
[]
(test/tests/linearfvbcs/scalar_symmetry/diffusion-1d-symmetry.i)
diff = 0.1
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmin = 0
xmax = ${fparse pi}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = 'cos(x)'
[]
[source_fn]
type = ParsedFunction
expression = '${diff}*cos(x)'
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVDiffusion
variable = u
diffusion_coeff = ${diff}
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[rob_l]
type = LinearFVAdvectionDiffusionScalarSymmetryBC
variable = u
boundary = "left"
use_two_term_expansion = true
[]
[dirichlet]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "right"
functor = u_exact
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 4
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
linear_convergence = linear
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(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
[]
[]
[FVInterpolationMethods]
[upwind]
type = FVAdvectedUpwind
[]
[average]
type = FVGeometricAverage
[]
[muscl_venkat]
type = FVAdvectedVenkatakrishnanDeferredCorrection
deferred_correction_factor = 1.0
[]
[nvd_vanleer]
type = FVAdvectedVanLeerWeightBased
blending_factor = 1.0
[]
[nvd_minmod]
type = FVAdvectedMinmodWeightBased
blending_factor = 1.0
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method_name = 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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -pc_factor_mat_solver_type -mat_mumps_icntl_14'
petsc_options_value = 'lu NONZERO 1e-12 mumps 50'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/time_integrators/bdf2/linearfv.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 4
ny = 4
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
[]
[]
[LinearFVKernels]
[timeu]
type = LinearFVTimeDerivative
variable = u
[]
[diffu]
type = LinearFVDiffusion
variable = u
[]
[forceu]
type = LinearFVSource
variable = u
source_density = force
[]
[]
[Functions]
[exact]
type = ParsedFunction
expression = 't^3*x*y'
[]
[force]
type = ParsedFunction
expression = '3*x*y*t^2'
[]
[]
[LinearFVBCs]
[allu]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
functor = exact
variable = u
boundary = 'left right top bottom'
[]
[]
[Executioner]
type = Transient
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type'
petsc_options_value = 'hypre'
dt = 1
end_time = 3
scheme = 'bdf2'
[]
[Postprocessors]
[L2u]
type = ElementL2Error
function = exact
variable = u
[]
[]
[Outputs]
csv = true
[]
(modules/heat_transfer/test/tests/linearfvbcs/linear_fv_functor_radiative_bc/linear_fv_functor_radiative_bc_mms_2d.i)
# 2D MMS convergence test for LinearFVFunctorRadiativeBC.
#
# Exact solution: T(x,y) = T_L + B_x*(exp(x) - 1) + B_y*x*sin(pi*y)
# where B_x = (T_R_mms - T_L) / (e - 1).
#
# The solution combines a 1D exponential profile with a sinusoidal 2D
# perturbation B_y*x*sin(pi*y). The sinusoidal y-dependence is
# non-polynomial, ensuring the FV scheme has genuine O(h^2) truncation
# error in the y-direction.
#
# At the radiative boundary (x=1):
# T(1,y) = T_R_mms + B_y*sin(pi*y)
# dT/dx(1,y) = B_x*e + B_y*sin(pi*y)
#
# A spatially varying T_inf(y) is computed analytically so the radiative
# BC is satisfied exactly at every boundary face:
# T_inf(y)^4 = T(1,y)^4 + k*dT/dx(1,y)/(sigma*eps)
# At y=0,1 this recovers the 1D far-field temperature T_inf ~ 300 K.
#
# Boundary conditions:
# Left (x=0): Dirichlet T = T_L (constant, since x=0)
# Right (x=1): Radiative Robin with T_inf(y) (spatially varying)
# Bottom (y=0): Dirichlet T = T_L + B_x*(exp(x) - 1) (sin(0)=0)
# Top (y=1): Dirichlet T = T_L + B_x*(exp(x) - 1) (sin(pi)=0)
#
# Source: f(x,y) = -k*(B_x*exp(x) - B_y*pi^2*x*sin(pi*y))
#
# T_R_mms must be supplied via CLI args, as the root of:
# k*(T_L - T_R)*e/(e-1) = sigma*eps*(T_R^4 - T_inf^4)
# (computed in the Python convergence script).
T_L = 1000.0
k = 1.0
eps = 1.0
sigma = 5.670374419e-8
B_y = 200.0
T_R_mms = 0 # set via CLI: T_R_mms=<value>
B_x = '${fparse (T_R_mms - T_L) / (exp(1.0) - 1.0)}'
B_x_e = '${fparse B_x * exp(1.0)}'
flux_scale = '${fparse k / (sigma * eps)}'
pi_val = '${fparse pi}'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 10 # overridden by CLI
ny = 10 # overridden by CLI
xmin = 0
xmax = 1
ymin = 0
ymax = 1
[]
[]
[Problem]
linear_sys_names = 'heat_system'
[]
[Variables]
[T]
type = MooseLinearVariableFVReal
solver_sys = 'heat_system'
initial_condition = ${T_L}
[]
[]
[Functions]
[exact_T]
type = ParsedFunction
expression = 'T_L + Bx * (exp(x) - 1.0) + By * x * sin(pv * y)'
symbol_names = 'T_L Bx By pv'
symbol_values = '${T_L} ${B_x} ${B_y} ${pi_val}'
[]
[source_fn]
type = ParsedFunction
expression = '-k * Bx * exp(x) + k * By * pv * pv * x * sin(pv * y)'
symbol_names = 'k Bx By pv'
symbol_values = '${k} ${B_x} ${B_y} ${pi_val}'
[]
[T_inf_fn]
type = ParsedFunction
expression = 'pow(pow(TR + By * sin(pv * y), 4) + fs * (Bxe + By * sin(pv * y)), 0.25)'
symbol_names = 'TR By fs Bxe pv'
symbol_values = '${T_R_mms} ${B_y} ${flux_scale} ${B_x_e} ${pi_val}'
[]
[bottom_top_T]
type = ParsedFunction
expression = 'T_L + Bx * (exp(x) - 1.0)'
symbol_names = 'T_L Bx'
symbol_values = '${T_L} ${B_x}'
[]
[]
[LinearFVKernels]
[time]
type = LinearFVTimeDerivative
variable = T
[]
[diffusion]
type = LinearFVDiffusion
variable = T
diffusion_coeff = ${k}
[]
[source]
type = LinearFVSource
variable = T
source_density = source_fn
[]
[]
[LinearFVBCs]
[left]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = T
boundary = 'left'
functor = ${T_L}
[]
[right]
type = LinearFVFunctorRadiativeBC
variable = T
boundary = 'right'
emissivity = ${eps}
Tinfinity = T_inf_fn
diffusion_coeff = ${k}
[]
[bottom]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = T
boundary = 'bottom'
functor = bottom_top_T
[]
[top]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = 'T'
boundary = 'top'
functor = bottom_top_T
[]
[]
[Postprocessors]
[l2_error]
type = ElementL2FunctorError
approximate = T
exact = exact_T
execute_on = TIMESTEP_END
[]
[]
[Executioner]
type = Transient
system_names = heat_system
scheme = 'implicit-euler'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1e6
num_steps = 100
l_tol = 1e-12
[]
[Outputs]
[out]
type = CSV
execute_on = final
[]
[]
(test/tests/variables/linearfv/diffusion-1d-pp.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 50
[]
[]
[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]
[average]
type = ElementAverageValue
variable = u
execute_on = TIMESTEP_END
outputs = csv
[]
[min]
type = ElementExtremeValue
variable = u
value_type = min
execute_on = TIMESTEP_END
outputs = csv
[]
[max]
type = ElementExtremeValue
variable = u
value_type = max
execute_on = TIMESTEP_END
outputs = csv
[]
[num_dofs]
type = NumDOFs
execute_on = TIMESTEP_END
outputs = csv
[]
[elem_value]
type = ElementalVariableValue
variable = u
elementid = 10
execute_on = TIMESTEP_END
outputs = csv
[]
[point_value]
type = PointValue
variable = u
point = '0.33333 0 0'
execute_on = TIMESTEP_END
outputs = csv
[]
[]
[VectorPostprocessors]
[line-sample]
type = LineValueSampler
variable = u
start_point = '0.13333 0 0'
end_point = '0.766666 0 0'
num_points = 9
sort_by = x
execute_on = TIMESTEP_END
outputs = vpp_csv
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = TIMESTEP_END
[]
[vpp_csv]
type = 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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/outputs/debug/show_execution_linear_fv_flux.i)
[Mesh]
[gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = 10
nx = 50
[]
[left]
type = ParsedSubdomainMeshGenerator
input = 'gen_mesh'
combinatorial_geometry = 'x < 0.5'
block_id = '1'
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
[]
[]
[LinearFVKernels]
[diffusion_1]
type = LinearFVDiffusion
variable = u
diffusion_coeff = 1.5
block = 0
[]
[diffusion_2]
type = LinearFVDiffusion
variable = u
diffusion_coeff = 2.5
block = 1
[]
[source_1]
type = LinearFVSource
variable = u
source_density = 3.5
block = 0
[]
[source_2]
type = LinearFVSource
variable = u
source_density = 4.5
block = 1
[]
[]
[LinearFVBCs]
[left_bc]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = 'left right'
functor = 0
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
[]
[Debug]
show_execution_order = 'NONLINEAR'
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-symmetric-vortex-rz/2d-symmetric-vortex-rz-spacedependent.i)
mu_ref = 1.2
mu_r = 0.1
mu_x = 0.2
rho_ref = 1.4
rho_r = 0.15
rho_x = 0.25
use_dev = true
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
[]
coord_type = 'RZ'
rz_coord_axis = x
[]
[UserObjects]
[rc]
type = RhieChowMassFlux
u = vel_x
v = vel_y
pressure = pressure
rho = rho_fun
p_diffusion_kernel = p_diffusion
pressure_projection_method = consistent
[]
[]
[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 = 0.0
[]
[]
[LinearFVKernels]
[u_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_x
advected_interp_method = ${advected_interp_method}
mu = mu_fun
u = vel_x
v = vel_y
momentum_component = 'x'
rhie_chow_user_object = 'rc'
use_nonorthogonal_correction = false
use_deviatoric_terms = ${use_dev}
[]
[v_advection_stress]
type = LinearWCNSFVMomentumFlux
variable = vel_y
advected_interp_method = ${advected_interp_method}
mu = mu_fun
u = vel_x
v = vel_y
momentum_component = 'y'
rhie_chow_user_object = 'rc'
use_nonorthogonal_correction = false
use_deviatoric_terms = ${use_dev}
[]
[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
[]
[v_viscous_forcing]
type = LinearFVRZViscousSource
variable = vel_y
mu = mu_fun
momentum_component = 'y'
u = vel_x
v = vel_y
use_deviatoric_terms = ${use_dev}
[]
[p_diffusion]
type = LinearFVAnisotropicDiffusion
variable = pressure
diffusion_tensor = 'Ainv'
use_nonorthogonal_correction = false
use_nonorthogonal_correction_on_boundary = false
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = 'HbyA'
force_boundary_execution = true
[]
[]
[LinearFVBCs]
[no-slip-wall-u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top'
variable = vel_x
functor = exact_u
[]
[no-slip-wall-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top'
variable = vel_y
functor = exact_v
[]
[symmetry-u]
type = LinearFVVelocitySymmetryBC
boundary = 'bottom'
variable = vel_x
u = vel_x
v = vel_y
momentum_component = x
[]
[symmetry-v]
type = LinearFVVelocitySymmetryBC
boundary = 'bottom'
variable = vel_y
u = vel_x
v = vel_y
momentum_component = y
[]
[pressure-extrapolation]
type = LinearFVExtrapolatedPressureBC
boundary = 'top left right'
variable = pressure
use_two_term_expansion = true
[]
[pressure-symmetry]
type = LinearFVPressureSymmetryBC
boundary = 'bottom'
variable = pressure
HbyA_flux = 'HbyA'
[]
[]
[AuxVariables]
[vel_x_aux]
type = MooseLinearVariableFVReal
initial_condition = 0.0
[]
[vel_y_aux]
type = MooseLinearVariableFVReal
initial_condition = 0.0
[]
[pressure_aux]
type = MooseLinearVariableFVReal
initial_condition = 0.0
[]
[]
[AuxKernels]
[vel_x_function_aux]
type = FunctionAux
variable = vel_x_aux
function = exact_u
execute_on = TIMESTEP_END
[]
[vel_y_function_aux]
type = FunctionAux
variable = vel_y_aux
function = exact_v
execute_on = TIMESTEP_END
[]
[pressure_function_aux]
type = FunctionAux
variable = pressure_aux
function = exact_p
execute_on = TIMESTEP_END
[]
[]
[Functions]
# --------------------------------------------------
# Material property functions
# --------------------------------------------------
[rho_fun]
type = ParsedFunction
symbol_names = 'rho_ref rho_r rho_x'
symbol_values = '${rho_ref} ${rho_r} ${rho_x}'
expression = 'rho_ref + rho_x*x + rho_r*y'
[]
[mu_fun]
type = ParsedFunction
symbol_names = 'mu_ref mu_r mu_x'
symbol_values = '${mu_ref} ${mu_r} ${mu_x}'
expression = 'mu_ref + mu_x*x + mu_r*y'
[]
# --------------------------------------------------
# Convenience reciprocals
# --------------------------------------------------
[S]
type=ParsedFunction
symbol_names = 'rho_fun'
symbol_values = 'rho_fun'
expression='1.0/rho_fun'
[]
[S2]
type=ParsedFunction
symbol_names = 'rho_fun'
symbol_values = 'rho_fun'
expression='(1.0/rho_fun)^2'
[]
[S3]
type=ParsedFunction
symbol_names = 'rho_fun'
symbol_values = 'rho_fun'
expression='(1.0/rho_fun)^3'
[]
# --------------------------------------------------
# Building blocks
# --------------------------------------------------
[A]
type=ParsedFunction
expression='x^2*(1-x)^2'
[]
[Ap]
type=ParsedFunction
expression='2*x - 6*x^2 + 4*x^3'
[]
[App]
type=ParsedFunction
expression='2 - 12*x + 12*x^2'
[]
[Appp]
type=ParsedFunction
expression='-12 + 24*x'
[]
[Q]
type=ParsedFunction
expression='4*y^2 - 10*y^3 + 6*y^4'
[]
[Qp]
type=ParsedFunction
expression='8*y - 30*y^2 + 24*y^3'
[]
[Qpp]
type=ParsedFunction
expression='8 - 60*y + 72*y^2'
[]
[R]
type=ParsedFunction
expression='y^3 - 2*y^4 + y^5'
[]
[Rp]
type=ParsedFunction
expression='3*y^2 - 8*y^3 + 5*y^4'
[]
[Rpp]
type=ParsedFunction
expression='6*y - 24*y^2 + 20*y^3'
[]
# --------------------------------------------------
# Exact solutions
# --------------------------------------------------
[exact_u]
type=ParsedFunction
symbol_names = 'A Q rho_fun'
symbol_values = 'A Q rho_fun'
expression='A*Q / rho_fun'
[]
[exact_v]
type=ParsedFunction
symbol_names = 'Ap R rho_fun'
symbol_values = 'Ap R rho_fun'
expression='-Ap*R / rho_fun'
[]
[exact_p]
type=ParsedFunction
expression='x*y^2'
[]
# --------------------------------------------------
# First derivatives
# --------------------------------------------------
[ux]
type=ParsedFunction
symbol_names = 'A Ap Q rho_fun rho_x'
symbol_values = 'A Ap Q rho_fun ${rho_x}'
expression='(Ap*Q)/rho_fun - (A*Q*rho_x)/rho_fun^2'
[]
[ur]
type=ParsedFunction
symbol_names = 'A Q Qp rho_fun rho_r'
symbol_values = 'A Q Qp rho_fun ${rho_r}'
expression='(A*Qp)/rho_fun - (A*Q*rho_r)/rho_fun^2'
[]
[vx]
type=ParsedFunction
symbol_names = 'App Ap R rho_fun rho_x'
symbol_values = 'App Ap R rho_fun ${rho_x}'
expression='-(App*R)/rho_fun + (Ap*R*rho_x)/rho_fun^2'
[]
[vr]
type=ParsedFunction
symbol_names = 'Ap Rp R rho_fun rho_r'
symbol_values = 'Ap Rp R rho_fun ${rho_r}'
expression='-(Ap*Rp)/rho_fun + (Ap*R*rho_r)/rho_fun^2'
[]
# --------------------------------------------------
# Second derivatives
# --------------------------------------------------
[uxx]
type = ParsedFunction
symbol_names = 'rho_x App Q S Ap S2 A S3'
symbol_values = '${rho_x} App Q S Ap S2 A S3'
expression = 'App*Q*S - 2*Ap*Q*rho_x*S2 + 2*A*Q*(rho_x^2)*S3'
[]
[uxr]
type = ParsedFunction
symbol_names = 'rho_x rho_r Ap Qp S Q S2 A S3'
symbol_values = '${rho_x} ${rho_r} Ap Qp S Q S2 A S3'
expression = 'Ap*Qp*S - Ap*Q*rho_r*S2 - A*Qp*rho_x*S2 + 2*A*Q*(rho_x*rho_r)*S3'
[]
[urr]
type = ParsedFunction
symbol_names = 'rho_r A Qpp S Qp S2 Q S3'
symbol_values = '${rho_r} A Qpp S Qp S2 Q S3'
expression = 'A*Qpp*S - 2*A*Qp*rho_r*S2 + 2*A*Q*(rho_r^2)*S3'
[]
[vxx]
type = ParsedFunction
symbol_names = 'rho_x Appp R S App S2 Ap S3'
symbol_values = '${rho_x} Appp R S App S2 Ap S3'
expression = '-Appp*R*S + 2*App*R*rho_x*S2 - 2*Ap*R*(rho_x^2)*S3'
[]
[vxr]
type = ParsedFunction
symbol_names = 'rho_x rho_r App Rp S R Ap S2 S3'
symbol_values = '${rho_x} ${rho_r} App Rp S R Ap S2 S3'
expression = '-App*Rp*S + (App*R*rho_r + Ap*Rp*rho_x)*S2 - 2*Ap*R*(rho_x*rho_r)*S3'
[]
[vrr]
type = ParsedFunction
symbol_names = 'rho_r Ap Rpp S Rp S2 R S3'
symbol_values = '${rho_r} Ap Rpp S Rp S2 R S3'
expression = '-Ap*Rpp*S + 2*Ap*Rp*rho_r*S2 - 2*Ap*R*(rho_r^2)*S3'
[]
# --------------------------------------------------
# Derivatives of theta
# --------------------------------------------------
[theta]
type = ParsedFunction
symbol_names = 'ux vr exact_v'
symbol_values = 'ux vr exact_v'
expression = 'ux + vr + (exact_v/y)'
[]
[thetax]
type = ParsedFunction
symbol_names = 'uxx vxr vx'
symbol_values = 'uxx vxr vx'
expression = 'uxx + vxr + (vx/y)'
[]
[thetar]
type = ParsedFunction
symbol_names = 'uxr vrr vr exact_v'
symbol_values = 'uxr vrr vr exact_v'
expression = 'uxr + vrr + (vr/y) - (exact_v/(y^2))'
[]
# --------------------------------------------------
# Stress components
# --------------------------------------------------
[tau_xx]
type=ParsedFunction
symbol_names = 'ux theta mu_fun'
symbol_values = 'ux theta mu_fun'
expression='2*mu_fun*ux - (2.0/3.0)*mu_fun*theta'
[]
[tau_rr]
type=ParsedFunction
symbol_names = 'vr theta mu_fun'
symbol_values = 'vr theta mu_fun'
expression='2*mu_fun*vr - (2.0/3.0)*mu_fun*theta'
[]
[tau_xr]
type=ParsedFunction
symbol_names = 'ur vx mu_fun'
symbol_values = 'ur vx mu_fun'
expression='mu_fun*(ur + vx)'
[]
[tau_tt]
type=ParsedFunction
symbol_names = 'exact_v theta mu_fun'
symbol_values = 'exact_v theta mu_fun'
expression='2*mu_fun*(exact_v/y) - (2.0/3.0)*mu_fun*theta'
[]
# --------------------------------------------------
# Convective fluxes
# --------------------------------------------------
[Fxx]
type=ParsedFunction
symbol_names = 'exact_u rho_fun'
symbol_values = 'exact_u rho_fun'
expression='rho_fun*exact_u*exact_u'
[]
[Fxr]
type=ParsedFunction
symbol_names = 'exact_u exact_v rho_fun'
symbol_values = 'exact_u exact_v rho_fun'
expression='rho_fun*exact_u*exact_v'
[]
[Frx]
type=ParsedFunction
symbol_names = 'exact_u exact_v rho_fun'
symbol_values = 'exact_u exact_v rho_fun'
expression='rho_fun*exact_v*exact_u'
[]
[Frr]
type=ParsedFunction
symbol_names = 'exact_v rho_fun'
symbol_values = 'exact_v rho_fun'
expression='rho_fun*exact_v*exact_v'
[]
# --------------------------------------------------
# Stress derivatives
# --------------------------------------------------
[tau_xx_x]
type = ParsedFunction
symbol_names = 'mu_x ux mu_fun uxx theta thetax'
symbol_values = '${mu_x} ux mu_fun uxx theta thetax'
expression = '2*mu_x*ux + 2*mu_fun*uxx - (2.0/3.0)*(mu_x*theta + mu_fun*thetax)'
[]
[tau_xr_x]
type = ParsedFunction
symbol_names = 'mu_x ur vx mu_fun uxr vxx'
symbol_values = '${mu_x} ur vx mu_fun uxr vxx'
expression = 'mu_x*(ur + vx) + mu_fun*(uxr + vxx)'
[]
[tau_xr_r]
type = ParsedFunction
symbol_names = 'mu_r ur vx mu_fun urr vxr'
symbol_values = '${mu_r} ur vx mu_fun urr vxr'
expression = 'mu_r*(ur + vx) + mu_fun*(urr + vxr)'
[]
[tau_rr_r]
type = ParsedFunction
symbol_names = 'mu_r vr mu_fun vrr theta thetar'
symbol_values = '${mu_r} vr mu_fun vrr theta thetar'
expression = '2*mu_r*vr + 2*mu_fun*vrr - (2.0/3.0)*(mu_r*theta + mu_fun*thetar)'
[]
# --------------------------------------------------
# Conservative flux derivatives
# --------------------------------------------------
[Fxx_x]
type = ParsedFunction
symbol_names = 'rho_x A Ap Q S S2'
symbol_values = '${rho_x} A Ap Q S S2'
expression = '2*A*Ap*Q^2*S - A^2*Q^2*rho_x*S2'
[]
[Frx_r]
type = ParsedFunction
symbol_names = 'rho_r A Ap Qp R Q Rp S S2'
symbol_values = '${rho_r} A Ap Qp R Q Rp S S2'
expression = '-A*Ap*((Qp*R + Q*Rp)*S - Q*R*rho_r*S2)'
[]
[Fxr_x]
type = ParsedFunction
symbol_names = 'rho_x Ap A App Q R S S2'
symbol_values = '${rho_x} Ap A App Q R S S2'
expression = '-((Ap^2 + A*App)*Q*R*S - A*Ap*Q*R*rho_x*S2)'
[]
[Frr_r]
type = ParsedFunction
symbol_names = 'rho_r Ap R Rp S S2'
symbol_values = '${rho_r} Ap R Rp S S2'
expression = 'Ap^2*(2*R*Rp*S - R^2*rho_r*S2)'
[]
# --------------------------------------------------
# Pressure gradients
# --------------------------------------------------
[px]
type=ParsedFunction
expression='y^2'
[]
[pr]
type=ParsedFunction
expression='2*x*y'
[]
# --------------------------------------------------
# Forcing terms
# --------------------------------------------------
[forcing_u]
type = ParsedFunction
symbol_names = 'Fxx_x Frx Frx_r px tau_xx_x tau_xr tau_xr_r'
symbol_values = 'Fxx_x Frx Frx_r px tau_xx_x tau_xr tau_xr_r'
expression = 'Fxx_x + (Frx/y) + Frx_r + px - ( tau_xx_x + (tau_xr/y) + tau_xr_r )'
[]
[forcing_v]
type = ParsedFunction
symbol_names = 'Fxr_x Frr Frr_r pr tau_xr_x tau_rr tau_rr_r tau_tt'
symbol_values = 'Fxr_x Frr Frr_r pr tau_xr_x tau_rr tau_rr_r tau_tt'
expression = 'Fxr_x + (Frr/y) + Frr_r + pr - ( tau_xr_x + (tau_rr/y) + tau_rr_r - (tau_tt)/y )'
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-10
pressure_l_abs_tol = 1e-10
momentum_l_tol = 0
pressure_l_tol = 0
momentum_l_max_its = 500
pressure_l_max_its = 500
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system v_system'
pressure_system = 'pressure_system'
momentum_equation_relaxation = 0.85
pressure_variable_relaxation = 1.0
num_iterations = 10000
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
continue_on_max_its = true
pin_pressure = true
pressure_pin_value = 0.125
pressure_pin_point = '0.5 0.5 0.0'
[]
[Outputs]
[csv]
type = CSV
execute_on = TIMESTEP_END
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = TIMESTEP_END
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
execute_on = TIMESTEP_END
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
execute_on = TIMESTEP_END
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
execute_on = TIMESTEP_END
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-symmetric-vortex/2d-symmetric-vortex.i)
mu = 1.2
rho = 1.5
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
body_force_kernel_names = "u_forcing; v_forcing"
[]
[]
[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 = 0.0
[]
[]
[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' # Functor created in the RhieChowMassFlux UO
use_nonorthogonal_correction = false
use_nonorthogonal_correction_on_boundary = false
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = 'HbyA' # Functor created in the RhieChowMassFlux UO
force_boundary_execution = true
[]
[]
[LinearFVBCs]
[no-slip-wall-u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top'
variable = vel_x
functor = exact_u
[]
[no-slip-wall-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top'
variable = vel_y
functor = exact_v
[]
[symmetry-u]
type = LinearFVVelocitySymmetryBC
boundary = 'bottom'
variable = vel_x
u = vel_x
v = vel_y
momentum_component = x
[]
[symmetry-v]
type = LinearFVVelocitySymmetryBC
boundary = 'bottom'
variable = vel_y
u = vel_x
v = vel_y
momentum_component = y
[]
[pressure-extrapolation]
type = LinearFVPressureFluxBC
boundary = 'top left right'
variable = pressure
HbyA_flux = HbyA
Ainv = Ainv
[]
[pressure-symmetry]
type = LinearFVPressureSymmetryBC
boundary = 'bottom'
variable = pressure
HbyA_flux = 'HbyA' # Functor created in the RhieChowMassFlux UO
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(8*y^3 - 9*y^2 + 1)'
[]
[exact_v]
type = ParsedFunction
expression = '-(2*x - 6*x^2 + 4*x^3)*y*(1-y)^2*(2*y+1)'
[]
[exact_p]
type = ParsedFunction
expression = 'y^2'
[]
[forcing_u]
type = ParsedFunction
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
expression = 'rho*( (x^2*(1-x)^2)*(2*x - 6*x^2 + 4*x^3)*
( (8*y^3 - 9*y^2 + 1)^2
- (2*y^4 - 3*y^3 + y)*(24*y^2 - 18*y) ) )
- mu*( (2 - 12*x + 12*x^2)*(8*y^3 - 9*y^2 + 1)
+ (x^2*(1-x)^2)*(48*y - 18) )'
[]
[forcing_v]
type = ParsedFunction
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
expression = 'rho*( (8*y^3 - 9*y^2 + 1)*(2*y^4 - 3*y^3 + y)*
( (2*x - 6*x^2 + 4*x^3)^2
- (x^2*(1-x)^2)*(2 - 12*x + 12*x^2) ) )
+ mu*( (24*x - 12)*(2*y^4 - 3*y^3 + y)
+ (2*x - 6*x^2 + 4*x^3)*(24*y^2 - 18*y) )
+ 2*y'
[]
[]
[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 = 10000
pressure_absolute_tolerance = 1e-7
momentum_absolute_tolerance = 1e-7
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
continue_on_max_its = true
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 = TIMESTEP_END
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = TIMESTEP_END
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
execute_on = TIMESTEP_END
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
execute_on = TIMESTEP_END
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
execute_on = TIMESTEP_END
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-symmetric-vortex-rz/2d-symmetric-vortex-rz.i)
mu = 1.2
rho = 1.5
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
[]
coord_type = 'RZ'
rz_coord_axis = x
[]
[UserObjects]
[rc]
type = RhieChowMassFlux
u = vel_x
v = vel_y
pressure = pressure
rho = ${rho}
p_diffusion_kernel = p_diffusion
pressure_projection_method = consistent
[]
[]
[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 = 0.0
[]
[]
[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
[]
[v_viscous_forcing]
type = LinearFVRZViscousSource
variable = vel_y
mu = ${mu}
momentum_component = 'y'
[]
[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'
variable = vel_x
functor = exact_u
[]
[no-slip-wall-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left right top'
variable = vel_y
functor = exact_v
[]
[symmetry-u]
type = LinearFVVelocitySymmetryBC
boundary = 'bottom'
variable = vel_x
u = vel_x
v = vel_y
momentum_component = x
[]
[symmetry-v]
type = LinearFVVelocitySymmetryBC
boundary = 'bottom'
variable = vel_y
u = vel_x
v = vel_y
momentum_component = y
[]
[pressure-extrapolation]
type = LinearFVExtrapolatedPressureBC
boundary = 'top left right'
variable = pressure
use_two_term_expansion = true
[]
[pressure-symmetry]
type = LinearFVPressureSymmetryBC
boundary = 'bottom'
variable = pressure
HbyA_flux = 'HbyA'
[]
[]
[AuxVariables]
[vel_x_aux]
type = MooseLinearVariableFVReal
initial_condition = 0.0
[]
[vel_y_aux]
type = MooseLinearVariableFVReal
initial_condition = 0.0
[]
[pressure_aux]
type = MooseLinearVariableFVReal
initial_condition = 0.0
[]
[]
[AuxKernels]
[vel_x_function_aux]
type = FunctionAux
variable = vel_x_aux
function = exact_u
execute_on = TIMESTEP_END
[]
[vel_y_function_aux]
type = FunctionAux
variable = vel_y_aux
function = exact_v
execute_on = TIMESTEP_END
[]
[pressure_function_aux]
type = FunctionAux
variable = pressure_aux
function = exact_p
execute_on = TIMESTEP_END
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = '4*x^2*y^2 - 20*x^2*y^3 - 8*x^3*y^2 + 36*x^2*y^4 + 40*x^3*y^3 + 4*x^4*y^2 - 28*x^2*y^5 - 72*x^3*y^4 - 20*x^4*y^3 + 8*x^2*y^6 + 56*x^3*y^5 + 36*x^4*y^4 - 16*x^3*y^6 - 28*x^4*y^5 + 8*x^4*y^6'
[]
[exact_v]
type = ParsedFunction
expression = '-2*x*y^3*(x-1)*(2*x-1)*(y-1)^4'
[]
[exact_p]
type = ParsedFunction
expression = 'x*y^2'
[]
[forcing_u]
type = ParsedFunction
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
expression = 'rho*(8*x^3*y^4*(x-1)^3*(2*x-1)*(y-1)^6*(4*y^2 - 5*y + 2)) - mu*(4*(y-1)*(72*x^4*y^3 - 103*x^4*y^2 + 41*x^4*y - 4*x^4 - 144*x^3*y^3 + 206*x^3*y^2 - 82*x^3*y + 8*x^3 + 24*x^2*y^5 - 60*x^2*y^4 + 120*x^2*y^3 - 115*x^2*y^2 + 41*x^2*y - 4*x^2 - 24*x*y^5 + 60*x*y^4 - 48*x*y^3 + 12*x*y^2 + 4*y^5 - 10*y^4 + 8*y^3 - 2*y^2)) + y^2'
[]
[forcing_v]
type = ParsedFunction
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
expression = 'rho*4*x^2*y^5*(x-1)^2*(y-1)^7*(2*(2*x^2 - 2*x + y) + (2*x - 1)^2*(y - 1)) + mu * (4*y*(2*x-1)*(y-1)^2*(24*x^2*y^2 - 22*x^2*y + 4*x^2 - 24*x*y^2 + 22*x*y - 4*x + 3*y^4 - 6*y^3 + 3*y^2)) + 2*x*y'
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-10
pressure_l_abs_tol = 1e-10
momentum_l_tol = 0
pressure_l_tol = 0
momentum_l_max_its = 500
pressure_l_max_its = 500
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system v_system'
pressure_system = 'pressure_system'
momentum_equation_relaxation = 0.85
pressure_variable_relaxation = 1.0
num_iterations = 10000
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
continue_on_max_its = true
pin_pressure = true
pressure_pin_value = 0.125
pressure_pin_point = '0.5 0.5 0.0'
[]
[Outputs]
[csv]
type = CSV
execute_on = TIMESTEP_END
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = TIMESTEP_END
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
execute_on = TIMESTEP_END
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
execute_on = TIMESTEP_END
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
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
[]
[]
[FVInterpolationMethods]
[upwind]
type = FVAdvectedUpwind
[]
[average]
type = FVGeometricAverage
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.0 0.5 0"
advected_interp_method_name = 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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 10
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
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
[]
[]
(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
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[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_name = average
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
inactive = "outflow neumann"
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = analytic_solution
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "right"
use_two_term_expansion = true
[]
[neumann]
type = LinearFVAdvectionDiffusionFunctorNeumannBC
variable = u
boundary = "left"
functor = analytic_solution_neumann_left
diffusion_coeff = diff_coeff_func
[]
[]
[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'
[]
[analytic_solution_neumann_left]
type = ParsedFunction
expression = '-(1+0.5*x)*cos(pi/2*x)*pi/2'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_rtol'
petsc_options_value = 'hypre boomeramg 1e-10'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(test/tests/linearfvbcs/scalar_symmetry/advection-2d-symmetry.i)
vel_x = -0.1
two_term_bc=true
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = ${fparse pi/3}
ymin = 0
ymax = ${fparse pi/3}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.02
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = 'cos(x)*cos(y)'
[]
[source_fn]
type = ParsedFunction
expression = '-${vel_x}*sin(x)*cos(y)'
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "${vel_x} 0 0"
advected_interp_method_name = average
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[symm]
type = LinearFVAdvectionDiffusionScalarSymmetryBC
variable = u
boundary = "bottom"
use_two_term_expansion = ${two_term_bc}
[]
[outflow]
type = LinearFVAdvectionDiffusionOutflowBC
variable = u
boundary = "left"
use_two_term_expansion = ${two_term_bc}
[]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "right top"
functor = u_exact
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = 'TIMESTEP_END'
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = 'TIMESTEP_END'
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-9
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
petsc_options_value = 'lu NONZERO 1e-10'
multi_system_fixed_point = true
multi_system_fixed_point_convergence = linear
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
exodus = 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
[]
[]
[FVInterpolationMethods]
[upwind]
type = FVAdvectedUpwind
[]
[average]
type = FVGeometricAverage
[]
[muscl_venkat]
type = FVAdvectedVenkatakrishnanDeferredCorrection
deferred_correction_factor = 1.0
[]
[nvd_vanleer]
type = FVAdvectedVanLeerWeightBased
blending_factor = 1.0
[]
[nvd_minmod]
type = FVAdvectedMinmodWeightBased
blending_factor = 1.0
[]
[]
[LinearFVKernels]
[advection]
type = LinearFVAdvection
variable = u
velocity = "0.5 0 0"
advected_interp_method_name = 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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
multi_system_fixed_point_relaxation_factor = 1.0
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -pc_factor_mat_solver_type -mat_mumps_icntl_14'
petsc_options_value = 'lu NONZERO 1e-12 mumps 50'
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
(modules/navier_stokes/test/tests/finite_volume/two_phase/mixture_model/segregated/channel-drift-flux.i)
mu = 1.0
rho = 10.0
mu_d = 0.1
rho_d = 1.0
l = 2
# 'average' leads to slight oscillations, upwind may be preferred
# This method is selected for consistency with the original nonlinear input
advected_interp_method = 'average'
# TODO remove need for those
cp = 1
k = 1
cp_d = 1
k_d = 1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = '${fparse l * 5}'
ymin = '${fparse -l / 2}'
ymax = '${fparse l / 2}'
nx = 10
ny = 4
[]
uniform_refine = 0
[]
[Problem]
linear_sys_names = 'u_system v_system pressure_system phi_system'
previous_nl_solution_required = true
[]
[Variables]
[vel_x]
type = MooseLinearVariableFVReal
solver_sys = u_system
initial_condition = 1
[]
[vel_y]
type = MooseLinearVariableFVReal
solver_sys = v_system
[]
[pressure]
type = MooseLinearVariableFVReal
solver_sys = pressure_system
[]
[phase_2]
type = MooseLinearVariableFVReal
solver_sys = phi_system
[]
[]
[LinearFVKernels]
[flow_p_diffusion]
type = LinearFVAnisotropicDiffusion
diffusion_tensor = Ainv
use_nonorthogonal_correction = false
variable = pressure
[]
[flow_HbyA_divergence]
type = LinearFVDivergence
face_flux = HbyA
force_boundary_execution = true
variable = pressure
[]
[flow_ins_momentum_flux_x]
type = LinearWCNSFVMomentumFlux
advected_interp_method = ${advected_interp_method}
momentum_component = x
mu = mu_mixture
rhie_chow_user_object = ins_rhie_chow_interpolator
u = vel_x
use_deviatoric_terms = false
use_nonorthogonal_correction = false
v = vel_y
variable = vel_x
[]
[flow_ins_momentum_flux_y]
type = LinearWCNSFVMomentumFlux
advected_interp_method = ${advected_interp_method}
momentum_component = y
mu = mu_mixture
rhie_chow_user_object = ins_rhie_chow_interpolator
u = vel_x
use_deviatoric_terms = false
use_nonorthogonal_correction = false
v = vel_y
variable = vel_y
[]
[mixture_drift_flux_x]
type = LinearWCNSFV2PMomentumDriftFlux
density_interp_method = average
fraction_dispersed = phase_2
momentum_component = x
rhie_chow_user_object = ins_rhie_chow_interpolator
rho_d = ${rho_d}
u_slip = vel_slip_x
v_slip = vel_slip_y
variable = vel_x
[]
[mixture_drift_flux_y]
type = LinearWCNSFV2PMomentumDriftFlux
density_interp_method = average
fraction_dispersed = phase_2
momentum_component = y
rhie_chow_user_object = ins_rhie_chow_interpolator
rho_d = ${rho_d}
u_slip = vel_slip_x
v_slip = vel_slip_y
variable = vel_y
[]
[flow_ins_momentum_pressure_x]
type = LinearFVMomentumPressure
momentum_component = x
pressure = pressure
variable = vel_x
[]
[flow_ins_momentum_pressure_y]
type = LinearFVMomentumPressure
momentum_component = y
pressure = pressure
variable = vel_y
[]
[flow_momentum_friction_0_x]
type = LinearFVMomentumFriction
Darcy_name = Darcy_coefficient_vec
momentum_component = x
mu = mu_mixture
variable = vel_x
[]
[flow_momentum_friction_0_y]
type = LinearFVMomentumFriction
Darcy_name = Darcy_coefficient_vec
momentum_component = y
mu = mu_mixture
variable = vel_y
[]
# Mixture phase equation
[mixture_ins_phase_2_advection]
type = LinearFVScalarAdvection
advected_interp_method = upwind
rhie_chow_user_object = ins_rhie_chow_interpolator
u_slip = vel_slip_x
v_slip = vel_slip_y
variable = phase_2
[]
[mixture_phase_interface_reaction]
type = LinearFVReaction
coeff = 0.1
variable = phase_2
[]
[mixture_phase_interface_source]
type = LinearFVSource
scaling_factor = 0.1
source_density = phase_1
variable = phase_2
[]
[]
[LinearFVBCs]
[vel_x_left]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = left
functor = 1
variable = vel_x
[]
[vel_y_left]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = left
functor = 0
variable = vel_y
[]
[pressure_extrapolation_inlet_left]
type = LinearFVExtrapolatedPressureBC
boundary = left
use_two_term_expansion = true
variable = pressure
[]
[vel_x_right]
type = LinearFVAdvectionDiffusionOutflowBC
boundary = right
use_two_term_expansion = true
variable = vel_x
[]
[vel_y_right]
type = LinearFVAdvectionDiffusionOutflowBC
boundary = right
use_two_term_expansion = true
variable = vel_y
[]
[pressure_right]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = right
functor = 0
variable = pressure
[]
[vel_x_bottom]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = bottom
functor = 0
variable = vel_x
[]
[vel_y_bottom]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = bottom
functor = 0
variable = vel_y
[]
[vel_x_top]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = top
functor = 0
variable = vel_x
[]
[vel_y_top]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = top
functor = 0
variable = vel_y
[]
[pressure_extrapolation_top_bottom]
type = LinearFVExtrapolatedPressureBC
boundary = 'top bottom'
use_two_term_expansion = true
variable = pressure
[]
[phase_2_left]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = left
functor = 0.1
variable = phase_2
[]
[phase_2_right]
type = LinearFVAdvectionDiffusionOutflowBC
boundary = right
use_two_term_expansion = true
variable = phase_2
[]
[]
[FunctorMaterials]
[flow_ins_speed_material]
type = ADVectorMagnitudeFunctorMaterial
execute_on = ALWAYS
outputs = none
vector_magnitude_name = speed
x_functor = vel_x
y_functor = vel_y
[]
[mixture_phase_1_fraction]
type = ParsedFunctorMaterial
execute_on = ALWAYS
expression = '1 - phase_2'
functor_names = phase_2
output_properties = phase_1
outputs = all
property_name = phase_1
[]
[mixture_mixture_material]
type = WCNSLinearFVMixtureFunctorMaterial
execute_on = ALWAYS
limit_phase_fraction = true
outputs = all
phase_1_fraction = phase_2
phase_1_names = '${rho_d} ${mu_d} ${cp_d} ${k_d}'
phase_2_names = '${rho} ${mu} ${cp} ${k}'
prop_names = 'rho_mixture mu_mixture cp_mixture k_mixture'
[]
[mixture_slip_x]
type = WCNSFV2PSlipVelocityFunctorMaterial
execute_on = ALWAYS
gravity = '0 0 0'
linear_coef_name = Darcy_coefficient
momentum_component = x
mu = mu_mixture
outputs = all
particle_diameter = 0.01
rho = ${rho}
rho_d = ${rho_d}
slip_velocity_name = vel_slip_x
u = vel_x
v = vel_y
[]
[mixture_slip_y]
type = WCNSFV2PSlipVelocityFunctorMaterial
execute_on = ALWAYS
gravity = '0 0 0'
linear_coef_name = Darcy_coefficient
momentum_component = y
mu = mu_mixture
outputs = all
particle_diameter = 0.01
rho = ${rho}
rho_d = ${rho_d}
slip_velocity_name = vel_slip_y
u = vel_x
v = vel_y
[]
[mixture_dispersed_drag]
type = NSFVDispersePhaseDragFunctorMaterial
drag_coef_name = Darcy_coefficient
execute_on = ALWAYS
mu = mu_mixture
outputs = all
particle_diameter = 0.01
rho = rho_mixture
u = vel_x
v = vel_y
[]
[]
[UserObjects]
[ins_rhie_chow_interpolator]
type = RhieChowMassFlux
p_diffusion_kernel = flow_p_diffusion
pressure = pressure
rho = rho_mixture
u = vel_x
v = vel_y
[]
[]
[Executioner]
type = SIMPLE
rhie_chow_user_object = 'ins_rhie_chow_interpolator'
# Systems
momentum_systems = 'u_system v_system'
pressure_system = 'pressure_system'
active_scalar_systems = 'phi_system'
momentum_equation_relaxation = 0.8
active_scalar_equation_relaxation = '0.7'
pressure_variable_relaxation = 0.3
# We need to converge the problem to show conservation
num_iterations = 200
pressure_absolute_tolerance = 1e-10
momentum_absolute_tolerance = 1e-10
active_scalar_absolute_tolerance = '1e-10'
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'
active_scalar_petsc_options_iname = '-pc_type -pc_hypre_type'
active_scalar_petsc_options_value = 'hypre boomeramg'
momentum_l_abs_tol = 1e-13
pressure_l_abs_tol = 1e-13
active_scalar_l_abs_tol = 1e-13
momentum_l_tol = 0
pressure_l_tol = 0
active_scalar_l_tol = 0
# print_fields = true
continue_on_max_its = true
[]
[Outputs]
csv = true
[]
[Postprocessors]
[Re]
type = ParsedPostprocessor
expression = '10.0 * 2 * 1'
[]
[average_phase2]
type = ElementAverageValue
variable = phase_2
[]
[dp]
type = PressureDrop
boundary = 'left right'
downstream_boundary = right
pressure = pressure
upstream_boundary = left
[]
[max_phase2]
type = ElementExtremeValue
variable = phase_2
[]
[]
(test/tests/time_steppers/iteration_adaptive/adapt_linear_systems.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 50
ny = 2
xmax = 5
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[LinearFVKernels]
[time]
type = LinearFVTimeDerivative
variable = 'u'
[]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = 5
[]
[source]
type = LinearFVSource
variable = u
source_density = 2
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = 12
[]
[]
[Executioner]
type = Transient
system_names = u_sys
start_time = 0.0
end_time = 19
n_startup_steps = 2
dtmax = 6.0
[TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 8
dt = 1.0
[]
verbose = true
linear_convergence = much_logic
[]
[Convergence]
[force_grow]
type = IterationCountConvergence
min_iterations = 0
max_iterations = 4
converge_at_max_iterations = true
[]
[force_shrink]
type = IterationCountConvergence
min_iterations = 12
max_iterations = 13
converge_at_max_iterations = true
[]
[much_logic]
type = ParsedConvergence
convergence_expression = 'if(time < 5, force_grow, force_shrink)'
symbol_names = 'time force_grow force_shrink'
symbol_values = 'time force_grow force_shrink'
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[time]
type = TimePostprocessor
[]
[]
[Outputs]
csv = true
[]
(test/tests/tag/tag-linearfv.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 3
[]
[]
[Problem]
linear_sys_names = 'u_sys v_sys'
extra_tag_matrices = 'mat_tag_u; mat_tag_v'
extra_tag_vectors = 'vec_tag_u; vec_tag_v'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
initial_condition = 1.0
solver_sys = u_sys
[]
[v]
type = MooseLinearVariableFVReal
initial_condition = 0.5
solver_sys = v_sys
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = 2.0
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = 3.0
matrix_tags = 'system mat_tag_u'
[]
[source]
type = LinearFVSource
variable = u
source_density = 60.0
vector_tags = 'rhs vec_tag_u'
[]
[diffusion_v]
type = LinearFVDiffusion
variable = v
diffusion_coeff = 1.0
[]
[reaction_v]
type = LinearFVReaction
variable = v
coeff = 1.5
matrix_tags = 'system mat_tag_v'
[]
[source_v]
type = LinearFVSource
variable = v
source_density = 20.0
vector_tags = 'rhs vec_tag_v'
[]
[]
[LinearFVBCs]
[left_u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = left
functor = 1.0
[]
[right_u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = right
functor = 3.0
[]
[left_v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = v
boundary = left
functor = 1.0
[]
[right_v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = v
boundary = right
functor = 3.0
[]
[]
[AuxVariables]
[soln_u_dof]
type = MooseLinearVariableFVReal
[]
[soln_u]
type = MooseLinearVariableFVReal
[]
[rhs_u_dof]
type = MooseLinearVariableFVReal
[]
[rhs_u]
type = MooseLinearVariableFVReal
[]
[vector_tag_u]
type = MooseLinearVariableFVReal
[]
[matrix_u_diag]
type = MooseLinearVariableFVReal
[]
[soln_v_dof]
type = MooseLinearVariableFVReal
[]
[soln_v]
type = MooseLinearVariableFVReal
[]
[rhs_v_dof]
type = MooseLinearVariableFVReal
[]
[rhs_v]
type = MooseLinearVariableFVReal
[]
[vector_tag_v]
type = MooseLinearVariableFVReal
[]
[matrix_v_diag]
type = MooseLinearVariableFVReal
[]
[]
[AuxKernels]
[soln_u_dof]
type = TagVectorDofValueAux
variable = soln_u_dof
v = u
vector_tag = 'solution'
[]
[soln_u]
type = TagVectorAux
variable = soln_u
v = u
vector_tag = 'solution'
[]
[rhs_u_dof]
type = TagVectorDofValueAux
variable = rhs_u_dof
v = u
vector_tag = 'rhs'
[]
[rhs_u]
type = TagVectorAux
variable = rhs_u
v = u
vector_tag = 'rhs'
[]
[extra_vector_u_dof]
type = TagVectorDofValueAux
variable = vector_tag_u
v = u
vector_tag = 'vec_tag_u'
[]
[extra_vector_u]
type = TagVectorAux
variable = vector_tag_u
v = u
vector_tag = 'vec_tag_u'
[]
[extra_matrix_u]
type = TagMatrixAux
variable = matrix_u_diag
v = u
matrix_tag = 'mat_tag_u'
[]
[soln_v_dof]
type = TagVectorDofValueAux
variable = soln_v_dof
v = v
vector_tag = 'solution'
[]
[soln_v]
type = TagVectorAux
variable = soln_v
v = v
vector_tag = 'solution'
[]
[rhs_v_dof]
type = TagVectorDofValueAux
variable = rhs_v_dof
v = v
vector_tag = 'rhs'
[]
[rhs_v]
type = TagVectorAux
variable = rhs_v
v = v
vector_tag = 'rhs'
[]
[extra_vector_v_dof]
type = TagVectorDofValueAux
variable = vector_tag_v
v = v
vector_tag = 'vec_tag_v'
[]
[extra_vector_v]
type = TagVectorAux
variable = vector_tag_v
v = v
vector_tag = 'vec_tag_v'
[]
[extra_matrix_v]
type = TagMatrixAux
variable = matrix_v_diag
v = v
matrix_tag = 'mat_tag_v'
[]
[]
[Executioner]
type = Steady
solve_type = 'LINEAR'
system_names = 'u_sys v_sys'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
execute_on = timestep_end
[]
(test/tests/linearfvbcs/robin/diffusion-2d-robin.i)
#################################################################
k = 7.0 # diffusion coeff.
amp = 3.6 # sinusoid amplitude, for u_exact
x1 = ${fparse 0.1*pi}
x2 = ${fparse 1.0*pi}
y1 = ${fparse 0.0*pi}
y2 = ${fparse 1.0*pi}
alpha = 2.000 # robin BC coeff for gradient term
beta = 5.000 # robin BC coeff for variable term
nx = 2
ny = 2
##################################################################
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = ${nx}
ny = ${ny}
xmin = ${x1}
xmax = ${x2}
ymin = ${y1}
ymax = ${y2}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.0
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = '(${amp}*sin(x)*sin(y))'
[]
[source_fn]
type = ParsedFunction
expression = '${fparse k*amp}*2.0*sin(x)*sin(y)'
[]
[gamma_fn]
type = ParsedFunction
expression = '${fparse -amp*alpha}*cos(x)*sin(y) + ${beta} * u_e'
symbol_names = 'u_e'
symbol_values = 'u_exact'
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = ${k}
use_nonorthogonal_correction = true
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[right]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "right"
functor = u_exact
[]
[top]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "top"
functor = u_exact
[]
[bottom]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "bottom"
functor = u_exact
[]
[robin_left]
type = LinearFVAdvectionDiffusionFunctorRobinBC
variable = u
boundary = "left"
alpha = ${alpha}
beta = ${beta}
gamma = gamma_fn
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 4
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
multi_system_fixed_point = true
multi_system_fixed_point_convergence = linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
linear_convergence = linear
[]
(test/tests/variables/linearfv/diffusion-1d-aux.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[AuxVariables]
[v_volume]
type = MooseLinearVariableFVReal
initial_condition = 50
[]
[v_functor]
type = MooseLinearVariableFVReal
initial_condition = 25
[]
[v_parsed]
type = MooseLinearVariableFVReal
initial_condition = 12.5
[]
[]
[AuxKernels]
[volume]
type = VolumeAux
variable = v_volume
[]
[functor]
type = FunctorAux
variable = v_functor
functor = u
[]
[parsed]
type = ParsedAux
variable = v_parsed
coupled_variables = 'v_volume v_functor'
expression = '0.5*v_volume+0.5*v_functor'
[]
[]
[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'
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
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 = "right top bottom"
functor = analytic_solution
[]
[symmetry]
type = LinearFVAdvectionDiffusionScalarSymmetryBC
variable = u
boundary = "left"
[]
[]
[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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point = true
multi_system_fixed_point_convergence = linear
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/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
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[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_name = 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
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
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/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
[]
[]
(test/tests/multisystem/picard/linearfv_nonlinearfv/same_input.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 6
[]
[]
[Problem]
nl_sys_names = 'v_sys'
linear_sys_names = 'u_sys'
[]
[Variables]
[v]
type = MooseVariableFVReal
initial_condition = 2.0
solver_sys = v_sys
[]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 1.0
[]
[]
[FVKernels]
[diffusion]
type = FVDiffusion
variable = v
coeff = u
[]
[source]
type = FVBodyForce
variable = v
function = 3
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = v
[]
[source]
type = LinearFVSource
variable = u
source_density = 1
[]
[]
[FVBCs]
[dir]
type = FVFunctorDirichletBC
variable = v
boundary = "left right"
functor = 2
[]
[]
[LinearFVBCs]
[dir]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left right"
functor = 1
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 6
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = 'v_sys u_sys'
l_abs_tol = 1e-12
l_tol = 1e-10
nl_abs_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
execute_on = timestep_end
[]
(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
[]
[]
[FVInterpolationMethods]
[average]
type = FVGeometricAverage
[]
[]
[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_name = average
[]
[reaction]
type = LinearFVReaction
variable = u
coeff = coeff_func
[]
[source]
type = LinearFVSource
variable = u
source_density = source_func
[]
[]
[LinearFVBCs]
inactive = "outflow neumann"
[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
[]
[neumann]
type = LinearFVAdvectionDiffusionFunctorNeumannBC
variable = u
boundary = "top"
functor = analytic_solution_neumann_top
diffusion_coeff = diff_coeff_func
[]
[]
[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'
[]
[analytic_solution_neumann_top]
type = ParsedFunction
expression = '(1.0+0.5*x*y)*sin((1/2)*x*pi)*cos(2*y*pi)*2*pi'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = analytic_solution
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 1
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
multi_system_fixed_point=true
multi_system_fixed_point_convergence=linear
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/ins/cht/bulk_heat_transfer/flow-around-square-linear.i)
mu = 0.01
rho = 1.1
k = 0.0005
cp = 10
k_s = 3.0
h_conv = 5
power_density = 10000
advected_interp_method = 'upwind'
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
ymin = 0
ymax = 0.1
xmax = 0.1
[]
[subdomain1]
type = SubdomainBoundingBoxGenerator
input = generated_mesh
block_name = subdomain1
bottom_left = '0.04 0.04 0'
block_id = 1
top_right = '0.06 0.06 0'
[]
[interface]
type = SideSetsBetweenSubdomainsGenerator
input = subdomain1
primary_block = 0
paired_block = 1
new_boundary = interface
[]
[]
[Problem]
linear_sys_names = 'u_system v_system pressure_system energy_system solid_energy_system'
previous_nl_solution_required = true
[]
[UserObjects]
[rc]
type = RhieChowMassFlux
u = vel_x
v = vel_y
pressure = pressure
rho = ${rho}
p_diffusion_kernel = p_diffusion
block = 0
[]
[]
[Variables]
[vel_x]
type = MooseLinearVariableFVReal
initial_condition = 0.1
solver_sys = u_system
block = 0
[]
[vel_y]
type = MooseLinearVariableFVReal
solver_sys = v_system
initial_condition = 0.01
block = 0
[]
[pressure]
type = MooseLinearVariableFVReal
solver_sys = pressure_system
initial_condition = 0.2
block = 0
[]
[T_fluid]
type = MooseLinearVariableFVReal
solver_sys = energy_system
initial_condition = 300
block = 0
[]
[T_solid]
type = MooseLinearVariableFVReal
solver_sys = solid_energy_system
initial_condition = 500
block = 1
[]
[]
[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 = true
[]
[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 = true
[]
[u_pressure]
type = LinearFVMomentumPressure
variable = vel_x
pressure = pressure
momentum_component = 'x'
[]
[v_pressure]
type = LinearFVMomentumPressure
variable = vel_y
pressure = pressure
momentum_component = 'y'
[]
[p_diffusion]
type = LinearFVAnisotropicDiffusion
variable = pressure
diffusion_tensor = Ainv
use_nonorthogonal_correction = true
[]
[HbyA_divergence]
type = LinearFVDivergence
variable = pressure
face_flux = HbyA
force_boundary_execution = true
[]
[h_advection]
type = LinearFVEnergyAdvection
variable = T_fluid
advected_quantity = temperature
cp = ${cp}
advected_interp_method = ${advected_interp_method}
rhie_chow_user_object = 'rc'
[]
[conduction]
type = LinearFVDiffusion
variable = T_fluid
diffusion_coeff = ${k}
use_nonorthogonal_correction = true
[]
[solid-conduction]
type = LinearFVDiffusion
variable = T_solid
diffusion_coeff = ${k_s}
use_nonorthogonal_correction = true
[]
[solid-source]
type = LinearFVSource
variable = T_solid
source_density = ${power_density}
[]
[]
[LinearFVBCs]
[inlet-u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left'
variable = vel_x
functor = '0.1'
[]
[inlet-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'left'
variable = vel_y
functor = '0.0'
[]
[walls-u]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'top bottom interface'
variable = vel_x
functor = 0.0
[]
[walls-v]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'top bottom interface'
variable = vel_y
functor = 0.0
[]
[outlet_p]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
boundary = 'right'
variable = pressure
functor = 1.4
[]
[outlet_u]
type = LinearFVAdvectionDiffusionOutflowBC
variable = vel_x
use_two_term_expansion = false
boundary = right
[]
[outlet_v]
type = LinearFVAdvectionDiffusionOutflowBC
variable = vel_y
use_two_term_expansion = false
boundary = right
[]
[inlet_T]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = T_fluid
functor = 300
boundary = 'left'
[]
[walls_T]
type = LinearFVAdvectionDiffusionFunctorNeumannBC
variable = T_fluid
functor = 0.0
boundary = 'top bottom'
[]
[outlet_T]
type = LinearFVAdvectionDiffusionOutflowBC
variable = T_fluid
use_two_term_expansion = false
boundary = right
[]
[fluid_solid]
type = LinearFVConvectiveHeatTransferBC
variable = T_fluid
T_solid = T_solid
T_fluid = T_fluid
boundary = interface
h = ${h_conv}
[]
[solid_fluid]
type = LinearFVConvectiveHeatTransferBC
variable = T_solid
T_solid = T_solid
T_fluid = T_fluid
boundary = interface
h = ${h_conv}
[]
[]
[FunctorMaterials]
[rhocpT]
property_name = 'rhocpT'
type = ParsedFunctorMaterial
functor_names = 'T_fluid'
expression = '${rho}*${cp}*T_fluid'
[]
[]
[Postprocessors]
[h_in]
type = VolumetricFlowRate
boundary = left
vel_x = vel_x
vel_y = vel_y
rhie_chow_user_object = rc
advected_quantity = 'rhocpT'
subtract_mesh_velocity = false
[]
[h_out]
type = VolumetricFlowRate
boundary = right
vel_x = vel_x
vel_y = vel_y
rhie_chow_user_object = rc
advected_quantity = 'rhocpT'
advected_interp_method = upwind
subtract_mesh_velocity = false
[]
[power]
type = ElementIntegralFunctorPostprocessor
functor = ${power_density}
block = 1
[]
[]
[Executioner]
type = SIMPLE
momentum_l_abs_tol = 1e-13
pressure_l_abs_tol = 1e-13
energy_l_abs_tol = 1e-13
solid_energy_l_abs_tol = 1e-13
momentum_l_tol = 0
pressure_l_tol = 0
energy_l_tol = 0
solid_energy_l_tol = 0
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system v_system'
pressure_system = 'pressure_system'
energy_system = 'energy_system'
solid_energy_system = 'solid_energy_system'
momentum_equation_relaxation = 0.8
energy_equation_relaxation = 1.0
pressure_variable_relaxation = 0.3
num_iterations = 1000
pressure_absolute_tolerance = 1e-10
momentum_absolute_tolerance = 1e-10
energy_absolute_tolerance = 1e-10
solid_energy_absolute_tolerance = 1e-10
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'
energy_petsc_options_iname = '-pc_type -pc_hypre_type'
energy_petsc_options_value = 'hypre boomeramg'
solid_energy_petsc_options_iname = '-pc_type -pc_hypre_type'
solid_energy_petsc_options_value = 'hypre boomeramg'
print_fields = false
continue_on_max_its = true
[]
[Outputs]
exodus = true
execute_on = timestep_end
[]
(test/tests/linearfvbcs/robin/diffusion-1d-robin.i)
##################################################################
k = 7.0 # diffusion coeff.
amp = 3.6 # sinusoid amplitude, for u_exact
x_l = ${fparse 0.0*pi} # domain bound (left)
x_r = ${fparse 0.9*pi} # domain bound (right)
alpha = 5.000 # robin BC coeff for gradient term
beta = 2.000 # robin BC coeff for variable term
gamma = ${fparse (alpha*amp*cos(x_r) ) + (beta*amp*sin(x_r))} # RHS of Robin BC, applied at right boundary
npts = 2
##################################################################
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = ${npts}
xmin = ${x_l}
xmax = ${x_r}
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
initial_condition = 0.0
[]
[]
[Functions]
[u_exact]
type = ParsedFunction
expression = '${amp}*sin(x)'
[]
[source_fn]
type = ParsedFunction
expression = '${fparse k*amp}*sin(x)'
[]
[]
[LinearFVKernels]
[diffusion]
type = LinearFVDiffusion
variable = u
diffusion_coeff = ${k}
use_nonorthogonal_correction = False
[]
[source]
type = LinearFVSource
variable = u
source_density = source_fn
[]
[]
[LinearFVBCs]
[dir_r]
type = LinearFVAdvectionDiffusionFunctorDirichletBC
variable = u
boundary = "left"
functor = 0
[]
[rob_l]
type = LinearFVAdvectionDiffusionFunctorRobinBC
variable = u
boundary = "right"
alpha = ${alpha}
beta = ${beta}
gamma = ${gamma}
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
execute_on = FINAL
[]
[error]
type = ElementL2FunctorError
approximate = u
exact = u_exact
execute_on = FINAL
[]
[]
[Outputs]
[csv]
type = CSV
execute_on = FINAL
[]
[]
[Convergence]
[linear]
type = IterationCountConvergence
max_iterations = 4
converge_at_max_iterations = true
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-7
linear_convergence = linear
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
(test/tests/transfers/multiapp_copy_transfer/linear_sys_to_aux/linear_sub.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[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'
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
execute_on = TIMESTEP_END
[]
(test/tests/outputs/debug/show_execution_linear_fv_elemental.i)
[Mesh]
[gen_mesh]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = 10
nx = 50
[]
[left]
type = ParsedSubdomainMeshGenerator
input = 'gen_mesh'
combinatorial_geometry = 'x < 0.5'
block_id = '1'
[]
[]
[Problem]
linear_sys_names = 'u_sys'
[]
[Variables]
[u]
type = MooseLinearVariableFVReal
solver_sys = 'u_sys'
[]
[]
[LinearFVKernels]
[reaction_1]
type = LinearFVReaction
variable = u
coeff = 1.5
block = 0
[]
[reaction_2]
type = LinearFVReaction
variable = u
coeff = 2.5
block = 1
[]
[source_1]
type = LinearFVSource
variable = u
source_density = 3.5
block = 0
[]
[source_2]
type = LinearFVSource
variable = u
source_density = 4.5
block = 1
[]
[]
[Executioner]
type = Steady
system_names = u_sys
l_tol = 1e-10
[]
[Debug]
show_execution_order = 'NONLINEAR'
[]