FVAdvection

construction:Undocumented Class

The FVAdvection has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.


# FVAdvection

!syntax description /FVKernels/FVAdvection

## Overview

!! Replace these lines with information regarding the FVAdvection object.

## Example Input File Syntax

!! Describe and include an example of how to use the FVAdvection object.

!syntax parameters /FVKernels/FVAdvection

!syntax inputs /FVKernels/FVAdvection

!syntax children /FVKernels/FVAdvection

Residual contribution from advection operator for finite volume method.

Input Parameters

variableThe name of the finite volume variable this kernel applies to
C++ Type:NonlinearVariableName
Options:
Description:The name of the finite volume variable this kernel applies to
velocityConstant advection velocity
C++ Type:libMesh::VectorValue<double>
Options:
Description:Constant advection velocity

Required Parameters

advected_interp_methodupwindThe interpolation to use for the advected quantity. Options are 'upwind' and 'average', with the default being 'upwind'.
Default:upwind
C++ Type:MooseEnum
Options:average, upwind
Description:The interpolation to use for the advected quantity. Options are 'upwind' and 'average', with the default being 'upwind'.
blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector<SubdomainName>
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
boundaries_to_forceThe set of boundaries to force execution of this FVFluxKernel on.
C++ Type:std::vector<BoundaryName>
Options:
Description:The set of boundaries to force execution of this FVFluxKernel on.
boundaries_to_not_forceThe set of boundaries to not force execution of this FVFluxKernel on.
C++ Type:std::vector<BoundaryName>
Options:
Description:The set of boundaries to not force execution of this FVFluxKernel on.
force_boundary_executionFalseWhether to force execution of this object on the boundary.
Default:False
C++ Type:bool
Options:
Description:Whether to force execution of this object on the boundary.
ghost_layers1The number of layers of elements to ghost.
Default:1
C++ Type:unsigned short
Options:
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
Options:
Description:Whether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
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
Options:
Description:Determines whether this object is calculated using an implicit or explicit form
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
Options:
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

extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Options:
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>
Options:
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

Input Files

(test/tests/fvkernels/mms/advection-diffusion.i)
(test/tests/fvkernels/mms/advective-outflow/advection-diffusion.i)
(test/tests/fvkernels/mms/non-orthogonal/extended-adr.i)
(test/tests/fvkernels/mms/advective-outflow/advection.i)
(test/tests/fvkernels/fv_constant_scalar_advection/2D_constant_scalar_advection.i)
(test/tests/fvkernels/mms/cylindrical/advection-reaction.i)
(test/tests/fvkernels/mms/cylindrical/advection-diffusion-reaction.i)
(test/tests/fvkernels/mms/non-orthogonal/advection-diffusion-reaction.i)
(test/tests/fvkernels/mms/advective-outflow/advection-outflow.i)
(test/tests/fvkernels/mms/advection.i)
(test/tests/fvkernels/mms/cylindrical/advection.i)
(test/tests/indicators/analytical_indicator/analytical_indicator_fv.i)
(test/tests/markers/error_fraction_marker/error_fraction_marker_fv.i)

(test/tests/fvkernels/mms/advection-diffusion.i)

diff=1.1
a=1.1

[GlobalParams]
  advected_interp_method = 'average'
[]

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -0.6
    xmax = 0.6
    nx = 64
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} 0 0'
  [../]
  [./diffusion]
    type = FVDiffusion
    variable = v
    coeff = coeff
  [../]
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [boundary]
    type = FVFunctionDirichletBC
    boundary = 'left right'
    function = 'exact'
    variable = v
  []
[]

[Materials]
  [diff]
    type = ADGenericConstantMaterial
    prop_names = 'coeff'
    prop_values = '${diff}'
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    value = '3*x^2 + 2*x + 1'
  []
  [forcing]
    type = ParsedFunction
    value = '-${diff}*6 + ${a} * (6*x + 2)'
    # value = '-${diff}*6'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/advective-outflow/advection-diffusion.i)

diff=1
a=1

[GlobalParams]
  advected_interp_method = 'average'
[]

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -1
    xmax = 0
    nx = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} 0 0'
    force_boundary_execution = true
  [../]
  [./diffusion]
    type = FVDiffusion
    variable = v
    coeff = coeff
  [../]
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [left]
    type = FVFunctionDirichletBC
    boundary = 'left'
    function = 'exact'
    variable = v
  []
[]

[Materials]
  [diff]
    type = ADGenericConstantMaterial
    prop_names = 'coeff'
    prop_values = '${diff}'
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    value = 'cos(x)'
  []
  [forcing]
    type = ParsedFunction
    value = 'cos(x) - sin(x)'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/non-orthogonal/extended-adr.i)

a=1.1
diff=1.1

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2
    xmax = 3
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = TRI3
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 1
    type = MooseVariableFVReal
    use_extended_stencil = true
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} ${fparse 2*a} 0'
    advected_interp_method = 'average'
  [../]
  [reaction]
    type = FVReaction
    variable = v
  []
  [diff_v]
    type = FVDiffusion
    variable = v
    coeff = ${diff}
    use_point_neighbors = true
  []
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [exact]
    type = FVFunctionDirichletBC
    boundary = 'left right top bottom'
    function = 'exact'
    variable = v
  []
[]

[Functions]
[exact]
  type = ParsedFunction
  value = 'sin(x)*cos(y)'
[]
[forcing]
  type = ParsedFunction
  value = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
  vars = 'a diff'
  vals = '${a} ${diff}'
[]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'hypre'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/advective-outflow/advection.i)

a=1.1

[GlobalParams]
  advected_interp_method = 'average'
[]

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.1
    xmax = 1.1
    nx = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./u]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    two_term_boundary_expansion = false
    type = MooseVariableFVReal
  [../]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    two_term_boundary_expansion = true
    type = MooseVariableFVReal
  [../]
[]

[FVKernels]
  [./advection_u]
    type = FVAdvection
    variable = u
    velocity = '${a} 0 0'
    force_boundary_execution = true
  [../]
  [body_u]
    type = FVBodyForce
    variable = u
    function = 'forcing'
  []
  [./advection_v]
    type = FVAdvection
    variable = v
    velocity = '${a} 0 0'
    force_boundary_execution = true
  [../]
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [left_u]
    type = FVFunctionDirichletBC
    boundary = 'left'
    function = 'exact'
    variable = u
  []
  [left_v]
    type = FVFunctionDirichletBC
    boundary = 'left'
    function = 'exact'
    variable = v
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    value = 'cos(x)'
  []
  [forcing]
    type = ParsedFunction
    value = '-${a} * sin(x)'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./L2u]
    type = ElementL2Error
    variable = u
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [./L2v]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/fv_constant_scalar_advection/2D_constant_scalar_advection.i)

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 2
    ymin = 0
    ymax = 4
    nx = 10
    ny = 20
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
  [../]
[]

[ICs]
  [./v_ic]
    type = FunctionIC
    variable = v
    function = 'r2 := (x - 0.5)*(x - 0.5) + (y - 0.3)*(y - 0.3); exp(-r2 * 20)'
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '1 0.5 0'
  [../]
  [./time]
    type = FVTimeKernel
    variable = v
  [../]
[]

[FVBCs]
  [./fv_outflow]
    type = FVConstantScalarOutflowBC
    velocity = '1 0.5 0'
    variable = v
    boundary = 'right top'
  [../]
[]

[Executioner]
  type = Transient
  petsc_options = '-snes_converged_reason'
  num_steps = 10
  dt = 0.25
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(test/tests/fvkernels/mms/cylindrical/advection-reaction.i)

a=1.1

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2
    xmax = 3
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
  coord_type = 'RZ'
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 1
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} ${a} 0'
    advected_interp_method = 'average'
  [../]
  [reaction]
    type = FVReaction
    variable = v
  []
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [advection]
    type = FVAdvectionFunctionBC
    boundary = 'left right top bottom'
    exact_solution = 'exact'
    variable = v
    velocity = '${a} ${a} 0'
    advected_interp_method = 'average'
  []
[]

[Functions]
[exact]
  type = ParsedFunction
  value = 'sin(x)*cos(y)'
[]
[forcing]
  type = ParsedFunction
  value = '-a*sin(x)*sin(y) + sin(x)*cos(y) + (x*a*cos(x)*cos(y) + a*sin(x)*cos(y))/x'
  vars = 'a'
  vals = '${a}'
[]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
  petsc_options_value = 'asm      NONZERO                   lu'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/cylindrical/advection-diffusion-reaction.i)

a=1.1
diff=1.1

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2
    xmax = 3
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
  coord_type = 'RZ'
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 1
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} ${a} 0'
    advected_interp_method = 'average'
  [../]
  [reaction]
    type = FVReaction
    variable = v
  []
  [diff_v]
    type = FVDiffusion
    variable = v
    coeff = ${diff}
  []
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [exact]
    type = FVFunctionDirichletBC
    boundary = 'left right top bottom'
    function = 'exact'
    variable = v
  []
[]

[Functions]
[exact]
  type = ParsedFunction
  value = 'sin(x)*cos(y)'
[]
[forcing]
  type = ParsedFunction
  value = '-a*sin(x)*sin(y) + diff*sin(x)*cos(y) + sin(x)*cos(y) + (x*a*cos(x)*cos(y) + a*sin(x)*cos(y))/x - (-x*diff*sin(x)*cos(y) + diff*cos(x)*cos(y))/x'
  vars = 'a diff'
  vals = '${a} ${diff}'
[]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
  petsc_options_value = 'asm      NONZERO                   lu'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/non-orthogonal/advection-diffusion-reaction.i)

a=1.1
diff=1.1

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2
    xmax = 3
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = TRI3
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 1
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} ${fparse 2*a} 0'
    advected_interp_method = 'average'
  [../]
  [reaction]
    type = FVReaction
    variable = v
  []
  [diff_v]
    type = FVDiffusion
    variable = v
    coeff = ${diff}
  []
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [exact]
    type = FVFunctionDirichletBC
    boundary = 'left right top bottom'
    function = 'exact'
    variable = v
  []
[]

[Functions]
[exact]
  type = ParsedFunction
  value = 'sin(x)*cos(y)'
[]
[forcing]
  type = ParsedFunction
  value = '-2*a*sin(x)*sin(y) + a*cos(x)*cos(y) + 2*diff*sin(x)*cos(y) + sin(x)*cos(y)'
  vars = 'a diff'
  vals = '${a} ${diff}'
[]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'hypre'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/advective-outflow/advection-outflow.i)

a=1.1

[GlobalParams]
  advected_interp_method = 'average'
[]

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 1.1
    nx = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./u]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    two_term_boundary_expansion = false
    type = MooseVariableFVReal
  [../]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    two_term_boundary_expansion = true
    type = MooseVariableFVReal
  [../]
[]

[FVKernels]
  [./advection_u]
    type = FVAdvection
    variable = u
    velocity = '${a} 0 0'
  [../]
  [body_u]
    type = FVBodyForce
    variable = u
    function = 'forcing'
  []
  [./advection_v]
    type = FVAdvection
    variable = v
    velocity = '${a} 0 0'
  [../]
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [left_u]
    type = FVFunctionDirichletBC
    boundary = 'left'
    function = 'exact'
    variable = u
  []
  [right_u]
    type = FVConstantScalarOutflowBC
    variable = u
    velocity = '${a} 0 0'
    boundary = 'right'
  []
  [left_v]
    type = FVFunctionDirichletBC
    boundary = 'left'
    function = 'exact'
    variable = v
  []
  [right_v]
    type = FVConstantScalarOutflowBC
    variable = v
    velocity = '${a} 0 0'
    boundary = 'right'
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    value = 'cos(x)'
  []
  [forcing]
    type = ParsedFunction
    value = '-${a} * sin(x)'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./L2u]
    type = ElementL2Error
    variable = u
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [./L2v]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/advection.i)

a=1.1

[GlobalParams]
  advected_interp_method = 'average'
[]

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -0.6
    xmax = 0.6
    nx = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
  [../]
[]

[FVKernels]
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} 0 0'
  [../]
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [advection]
    type = FVAdvectionFunctionBC
    boundary = 'left right'
    exact_solution = 'exact'
    variable = v
    velocity = '${a} 0 0'
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    value = '1.1 * sin(1.1 * x)'
  []
  [forcing]
    type = ParsedFunction
    value = '${a} * 1.1 * 1.1 * cos(1.1 * x)'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_shift_type'
  petsc_options_value = 'asm      NONZERO'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/fvkernels/mms/cylindrical/advection.i)

a=1.1

[Mesh]
  [./gen_mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 2
    xmax = 3
    nx = 2
  [../]
[]

[Problem]
  kernel_coverage_check = off
  coord_type = 'RZ'
[]

[Variables]
  [./v]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 1
  [../]
[]

[FVKernels]
  # Flux kernel
  [./advection]
    type = FVAdvection
    variable = v
    velocity = '${a} 0 0'
    advected_interp_method = 'average'
  [../]
  [body_v]
    type = FVBodyForce
    variable = v
    function = 'forcing'
  []
[]

[FVBCs]
  [advection]
    type = FVAdvectionFunctionBC
    boundary = 'left right'
    exact_solution = 'exact'
    variable = v
    velocity = '${a} 0 0'
    advected_interp_method = 'average'
  []
[]

[Functions]
[exact]
  type = ParsedFunction
  value = 'sin(x)'
[]
[forcing]
  type = ParsedFunction
  value = '(x*a*cos(x) + a*sin(x))/x'
  vars = 'a'
  vals = '${a}'
[]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_shift_type -sub_pc_type'
  petsc_options_value = 'asm      NONZERO                   lu'
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    variable = v
    function = exact
    outputs = 'console csv'
    execute_on = 'timestep_end'
  [../]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(test/tests/indicators/analytical_indicator/analytical_indicator_fv.i)

[Mesh]
  [mesh]
  type = GeneratedMeshGenerator
  dim = 2
  nx = 20
  ny = 1
  []
[]

[Variables]
  [u]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[Functions]
  [solution]
    type = ParsedFunction
    value = (exp(x)-1)/(exp(1)-1)
  []
[]

[FVKernels]
  [diff]
    type = FVDiffusion
    variable = u
    coeff = coeff
  []
  [conv]
    type = FVAdvection
    variable = u
    velocity = '1 0 0'
  []
[]

[FVBCs]
  [left]
    type = FVDirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = FVDirichletBC
    variable = u
    boundary = right
    value = 1
  []
[]

[Materials]
  [diff]
    type = ADGenericConstantMaterial
    prop_names = 'coeff'
    prop_values = '1'
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Adaptivity]
  [Indicators]
    [error]
      type = AnalyticalIndicator
      variable = u
      function = solution
    []
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/markers/error_fraction_marker/error_fraction_marker_fv.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [u]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[Functions]
  [solution]
    type = ParsedFunction
    value = (exp(x)-1)/(exp(1)-1)
  []
[]

[FVKernels]
  [diff]
    type = FVDiffusion
    variable = u
    coeff = coeff
  []
  [conv]
    type = FVAdvection
    variable = u
    velocity = '1 0 0'
  []
[]

[FVBCs]
  [left]
    type = FVDirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = FVDirichletBC
    variable = u
    boundary = right
    value = 1
  []
[]

[Materials]
  [diff]
    type = ADGenericConstantMaterial
    prop_names = 'coeff'
    prop_values = '1'
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Adaptivity]
  [Indicators]
    [error]
      type = AnalyticalIndicator
      variable = u
      function = solution
    []
  []
  [Markers]
    [marker]
      type = ErrorFractionMarker
      coarsen = 0.1
      indicator = error
      refine = 0.3
    []
  []
[]

[Outputs]
  exodus = true
[]

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