WallDistanceMixingLengthAux

This auxkernel computes the turbulent mixing length by assuming that it is proportional to the distance from the nearest wall. If a $\delta$ parameter is set by the user, the mixing length takes on Escudier's modification to cap the mixing length at a distance from the wall proportional to $\delta$ . For more details please refer to https://mooseframework.inl.gov/modules/navier_stokes/rans_theory.html.

Input Parameters

variableThe name of the variable that this object applies to
C++ Type:AuxVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this object applies to

Required 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
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
check_boundary_restrictedTrueWhether to check for multiple element sides on the boundary in the case of a boundary restricted, element aux variable. Setting this to false will allow contribution to a single element's elemental value(s) from multiple boundary sides on the same element (example: when the restricted boundary exists on two or more sides of an element, such as at a corner of a mesh
Default:True
C++ Type:bool
Controllable:No
Description:Whether to check for multiple element sides on the boundary in the case of a boundary restricted, element aux variable. Setting this to false will allow contribution to a single element's elemental value(s) from multiple boundary sides on the same element (example: when the restricted boundary exists on two or more sides of an element, such as at a corner of a mesh
delta1e+09. A functor is any of the following: a variable, a functor material property, a function, a post-processor, or a number.
Default:1e+09
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:. A functor is any of the following: a variable, a functor material property, a function, a post-processor, or a number.
execute_onLINEAR TIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:LINEAR TIMESTEP_END
C++ Type:ExecFlagEnum
Options:XFEM_MARK, FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, PRE_DISPLACE
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
von_karman_const0.41. A functor is any of the following: a variable, a functor material property, a function, a post-processor, or a number.
Default:0.41
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:. A functor is any of the following: a variable, a functor material property, a function, a post-processor, or a number.
von_karman_const_00.09. A functor is any of the following: a variable, a functor material property, a function, a post-processor, or a number.
Default:0.09
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:. A functor is any of the following: a variable, a functor material property, a function, a post-processor, or a number.
wallsBoundaries that correspond to solid walls.
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:Boundaries that correspond to solid walls.

Optional 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.
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

prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval Parameters

Input Files

(modules/navier_stokes/test/tests/finite_volume/wcns/channel-flow/2d-transient.i)
(modules/navier_stokes/test/tests/finite_volume/ins/wall_distance_capped_mixing_length_aux/capped_mixing_length.i)
(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_eddy_viscosity_aux/steady.i)
(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_total_viscosity_material/steady.i)
(modules/navier_stokes/test/tests/finite_volume/ins/channel-flow/2d-mixing-length.i)
(modules/navier_stokes/examples/pipe_mixing_length/pipe_mixing_length.i)
(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_total_viscosity_material/mixing_length_total_viscosity.i)
(modules/navier_stokes/test/tests/finite_volume/fvbcs/wall_function/Re_t395.i)
(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_eddy_viscosity_aux/mixing_length_eddy_viscosity.i)

(modules/navier_stokes/test/tests/finite_volume/wcns/channel-flow/2d-transient.i)

rho = 'rho'
l = 10
velocity_interp_method = 'rc'
advected_interp_method = 'average'

# Artificial fluid properties
# For a real case, use a GeneralFluidFunctorProperties and a viscosity rampdown
# or initialize very well!
k = 1
cp = 1000
mu = 1e2

# Operating conditions
inlet_temp = 300
outlet_pressure = 1e5
inlet_v = 0.001

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${l}
    ymin = 0
    ymax = 1
    nx = 20
    ny = 10
  []
[]

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = ${inlet_v}
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1e-15
  []
  [pressure]
    type = INSFVPressureVariable
    initial_condition = ${outlet_pressure}
  []
  [T_fluid]
    type = INSFVEnergyVariable
    initial_condition = ${inlet_temp}
  []
[]

[AuxVariables]
  [mixing_length]
    type = MooseVariableFVReal
  []
  [power_density]
    type = MooseVariableFVReal
    initial_condition = 1e4
  []
[]

[FVKernels]
  inactive = 'u_turb v_turb temp_turb'
  [mass_time]
    type = WCNSFVMassTimeDerivative
    variable = pressure
    drho_dt = drho_dt
  []
  [mass]
    type = WCNSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_time]
    type = WCNSFVMomentumTimeDerivative
    variable = vel_x
    drho_dt = drho_dt
    rho = rho
    momentum_component = 'x'
  []
  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    velocity_interp_method = ${velocity_interp_method}
    advected_interp_method = ${advected_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []
  [u_turb]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_x
    rho = ${rho}
    mixing_length = 'mixing_length'
    momentum_component = 'x'
    u = vel_x
    v = vel_y
  []

  [v_time]
    type = WCNSFVMomentumTimeDerivative
    variable = vel_y
    drho_dt = drho_dt
    rho = rho
    momentum_component = 'y'
  []
  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    velocity_interp_method = ${velocity_interp_method}
    advected_interp_method = ${advected_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    momentum_component = 'y'
    mu = ${mu}
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
  [v_turb]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_y
    rho = ${rho}
    mixing_length = 'mixing_length'
    momentum_component = 'y'
    u = vel_x
    v = vel_y
  []

  [temp_time]
    type = WCNSFVEnergyTimeDerivative
    variable = T_fluid
    rho = rho
    drho_dt = drho_dt
    h = h
    dh_dt = dh_dt
  []
  [temp_conduction]
    type = FVDiffusion
    coeff = 'k'
    variable = T_fluid
  []
  [temp_advection]
    type = INSFVEnergyAdvection
    variable = T_fluid
    velocity_interp_method = ${velocity_interp_method}
    advected_interp_method = ${advected_interp_method}
  []
  [heat_source]
    type = FVCoupledForce
    variable = T_fluid
    v = power_density
  []
  [temp_turb]
    type = WCNSFVMixingLengthEnergyDiffusion
    variable = T_fluid
    rho = rho
    cp = cp
    mixing_length = 'mixing_length'
    schmidt_number = 1
    u = vel_x
    v = vel_y
  []
[]

[FVBCs]
  [no_slip_x]
    type = INSFVNoSlipWallBC
    variable = vel_x
    boundary = 'top bottom'
    function = 0
  []

  [no_slip_y]
    type = INSFVNoSlipWallBC
    variable = vel_y
    boundary = 'top bottom'
    function = 0
  []

  # Inlet
  [inlet_u]
    type = INSFVInletVelocityBC
    variable = vel_x
    boundary = 'left'
    function = ${inlet_v}
  []
  [inlet_v]
    type = INSFVInletVelocityBC
    variable = vel_y
    boundary = 'left'
    function = 0
  []
  [inlet_T]
    type = FVDirichletBC
    variable = T_fluid
    boundary = 'left'
    value = ${inlet_temp}
  []

  [outlet_p]
    type = INSFVOutletPressureBC
    variable = pressure
    boundary = 'right'
    function = ${outlet_pressure}
  []
[]

[FluidProperties]
  [fp]
    type = FlibeFluidProperties
  []
[]

[FunctorMaterials]
  [const_functor]
    type = ADGenericFunctorMaterial
    prop_names = 'cp k'
    prop_values = '${cp} ${k}'
  []
  [rho]
    type = RhoFromPTFunctorMaterial
    fp = fp
    temperature = T_fluid
    pressure = pressure
  []
  [ins_fv]
    type = INSFVEnthalpyFunctorMaterial
    temperature = 'T_fluid'
    rho = ${rho}
  []
[]

[AuxKernels]
  inactive = 'mixing_len'
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_length
    execute_on = 'initial'
    delta = 0.5
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       NONZERO'

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 1e-3
    optimal_iterations = 6
  []
  end_time = 15

  nl_abs_tol = 1e-9
  nl_max_its = 50
  line_search = 'none'

  automatic_scaling = true
  off_diagonals_in_auto_scaling = true
  compute_scaling_once = false
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/wall_distance_capped_mixing_length_aux/capped_mixing_length.i)

von_karman_const = 0.41

H = 1 #halfwidth of the channel
L = 150

Re = 13700

rho = 1
bulk_u = 1
mu = ${fparse rho * bulk_u * 2 * H / Re}

advected_interp_method='upwind'
velocity_interp_method='rc'

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = u
    v = v
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '${L}'
    dy = '0.667 0.333'
    ix = '100'
    iy = '10  1'
  []
[]

[Problem]
  fv_bcs_integrity_check = false
[]

[Variables]
  [u]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [v]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_len]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_shear_stress]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_yplus]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_time]
    type = INSFVMomentumTimeDerivative
    variable = u
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_advection]
    type = INSFVMomentumAdvection
    variable = u
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = u
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'x'
    u = u
    v = v
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
  []

  [v_time]
    type = INSFVMomentumTimeDerivative
    variable = v
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_advection]
    type = INSFVMomentumAdvection
    variable = v
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = v
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'y'
    u = u
    v = v
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_len
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
    delta = 0.5
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = u
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = v
    function = '0'
  []
  [wall-u]
    type = INSFVWallFunctionBC
    variable = u
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = x
  []
  [wall-v]
    type = INSFVWallFunctionBC
    variable = v
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = y
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = u
    u = u
    v = v
    mu = ${mu}
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = v
    u = u
    v = v
    mu = ${mu}
    momentum_component = y
  []
  [symmetry_pressure]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       NONZERO'
  line_search = 'none'
  [TimeStepper]
    type = IterationAdaptiveDT
    optimal_iterations = 6
    dt = 1e-3
  []
  nl_abs_tol = 1e-8
  end_time = 1e9
[]

[Outputs]
  [out]
    type = Exodus
    execute_on = 'final'
  []
[]

(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_eddy_viscosity_aux/steady.i)

von_karman_const = 0.41

H = 1 #halfwidth of the channel
L = 150

Re = 100

rho = 1
bulk_u = 1
mu = '${fparse rho * bulk_u * 2 * H / Re}'

advected_interp_method = 'upwind'
velocity_interp_method = 'rc'

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = u
    v = v
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '${L}'
    dy = '0.667 0.333'
    ix = '200'
    iy = '10  1'
  []
[]

[Problem]
  fv_bcs_integrity_check = false
[]

[Variables]
  [u]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [v]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_len]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_shear_stress]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_yplus]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [eddy_viscosity]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = u
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = u
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'x'
    u = u
    v = v
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = v
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = v
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'y'
    u = u
    v = v
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_len
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
    delta = 0.5
  []
  [turbulent_viscosity]
    type = INSFVMixingLengthTurbulentViscosityAux
    variable = eddy_viscosity
    mixing_length = mixing_len
    u = u
    v = v
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = u
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = v
    function = '0'
  []
  [wall-u]
    type = INSFVWallFunctionBC
    variable = u
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = x
  []
  [wall-v]
    type = INSFVWallFunctionBC
    variable = v
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = y
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = u
    u = u
    v = v
    mu = ${mu}
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = v
    u = u
    v = v
    mu = ${mu}
    momentum_component = y
  []
  [symmetry_pressure]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_total_viscosity_material/steady.i)

von_karman_const = 0.41

H = 1 #halfwidth of the channel
L = 150

Re = 100

rho = 1
bulk_u = 1
mu = '${fparse rho * bulk_u * 2 * H / Re}'

advected_interp_method = 'upwind'
velocity_interp_method = 'rc'

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '${L}'
    dy = '0.667 0.333'
    ix = '200'
    iy = '10  1'
  []
[]

[Functions]
  [delta_func]
    type = ParsedFunction
    expression = '1.0-x/150'
  []
[]

[Problem]
  fv_bcs_integrity_check = false
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_length]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_x
    rho = ${rho}
    mixing_length = mixing_length
    momentum_component = 'x'
    u = vel_x
    v = vel_y
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_y
    rho = ${rho}
    mixing_length = mixing_length
    momentum_component = 'y'
    u = vel_x
    v = vel_y
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_length]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_length
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
    delta = 0.5
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = vel_x
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = vel_y
    function = '0'
  []
  [wall-u]
    type = INSFVWallFunctionBC
    variable = vel_x
    boundary = 'top'
    u = vel_x
    v = vel_y
    mu = ${mu}
    rho = ${rho}
    momentum_component = x
  []
  [wall-v]
    type = INSFVWallFunctionBC
    variable = vel_y
    boundary = 'top'
    u = vel_x
    v = vel_y
    mu = ${mu}
    rho = ${rho}
    momentum_component = y
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = vel_x
    u = vel_x
    v = vel_y
    mu = total_viscosity
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = vel_y
    u = vel_x
    v = vel_y
    mu = total_viscosity
    momentum_component = y
  []
  [symmetry_pressure]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[FunctorMaterials]
  [total_viscosity]
    type = MixingLengthTurbulentViscosityFunctorMaterial
    u = 'vel_x' #computes total viscosity = mu_t + mu
    v = 'vel_y' #property is called total_viscosity
    mixing_length = mixing_length
    mu = ${mu}
    rho = ${rho}
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/channel-flow/2d-mixing-length.i)

Re = 1e4
von_karman_const = 0.2

D = 1
rho = 1
bulk_u = 1
mu = '${fparse rho * bulk_u * D / Re}'

advected_interp_method = 'upwind'
velocity_interp_method = 'rc'

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 5
    ymin = 0
    ymax = '${fparse 0.5 * D}'
    nx = 20
    ny = 10
    bias_y = '${fparse 1 / 1.2}'
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [scalar]
    type = INSFVScalarFieldVariable
  []
[]

[AuxVariables]
  [mixing_length]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_x
    rho = ${rho}
    mixing_length = 'mixing_length'
    momentum_component = 'x'
    u = vel_x
    v = vel_y
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_y
    rho = ${rho}
    mixing_length = 'mixing_length'
    momentum_component = 'y'
    u = vel_x
    v = vel_y
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []

  [scalar_advection]
    type = INSFVScalarFieldAdvection
    variable = scalar
    velocity_interp_method = ${velocity_interp_method}
    advected_interp_method = ${advected_interp_method}
  []
  [scalar_diffusion_rans]
    type = INSFVMixingLengthScalarDiffusion
    variable = scalar
    mixing_length = 'mixing_length'
    u = vel_x
    v = vel_y
    schmidt_number = 1.0
  []
  [scalar_src]
    type = FVBodyForce
    variable = scalar
    value = 0.1
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top bottom'
    variable = 'mixing_length'
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = vel_x
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = vel_y
    function = '0'
  []
  [inlet_scalar]
    type = FVDirichletBC
    boundary = 'left'
    variable = scalar
    value = 1
  []
  [wall-u]
    type = INSFVNoSlipWallBC
    boundary = 'top'
    variable = vel_x
    function = 0
  []
  [wall-v]
    type = INSFVNoSlipWallBC
    boundary = 'top'
    variable = vel_y
    function = 0
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = vel_x
    u = vel_x
    v = vel_y
    mu = 'total_viscosity'
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = vel_y
    u = vel_x
    v = vel_y
    mu = 'total_viscosity'
    momentum_component = y
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[FunctorMaterials]
  [total_viscosity]
    type = MixingLengthTurbulentViscosityFunctorMaterial
    u = 'vel_x' #computes total viscosity = mu_t + mu
    v = 'vel_y' #property is called total_viscosity
    mixing_length = 'mixing_length'
    mu = ${mu}
    rho = ${rho}
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/examples/pipe_mixing_length/pipe_mixing_length.i)

# This example demonstrates how the mixing length model can be tuned to match an
# established correlation for pressure drop in a smooth circular pipe.

# The primary input parameters for this example are the system Reynolds number
# and the von Karman constant for the mixing length model. These two parameters
# can be changed here:
Re = 1e5
von_karman_const = 0.22

# Note that for this model (using the wall-distance mixing length for the entire
# pipe) different von Karman constants are optimal for different Reynolds
# numbers.

# This model has been non-dimensionalized. The diameter (D), density (rho), and
# bulk velocity (bulk_u) are all considered unity.
D = 1
total_len = ${fparse 40 * D}
rho = 1
bulk_u = 1

# With those parameters set, the viscosity is then computed in order to reach
# the desired Reynolds number.
mu = ${fparse rho * bulk_u * D / Re}

# Here the DeltaP will be evaluated by using a postprocessor to find the pressure
# at a point that is 10 diameters away from the outlet. (The outlet pressure is
# set to zero.)
L = ${fparse 10 * D}

# We will use the McAdams correlation to find the Darcy friction factor. Note
# that this correlation is valid for fully developed flow in smooth circular
# tubes at 3e4 < Re < 1e6.
f = ${fparse 0.316 * Re^(-0.25)}

# The DeltaP can then be computed using this friction factor as,
ref_delta_P = ${fparse f * L / D * rho * bulk_u^2 / 2}

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${total_len}
    ymin = 0
    ymax = ${fparse 0.5 * D}
    nx = 200
    ny = 40
    bias_y = ${fparse 1 / 1.2}
  []
  [rename1]
    type = RenameBoundaryGenerator
    input = gen
    old_boundary = 'left'
    new_boundary = 'inlet'
  []
  [rename2]
    type = RenameBoundaryGenerator
    input = rename1
    old_boundary = 'right'
    new_boundary = 'outlet'
  []
  [rename3]
    type = RenameBoundaryGenerator
    input = rename2
    old_boundary = 'bottom'
    new_boundary = 'symmetry'
  []
  [rename4]
    type = RenameBoundaryGenerator
    input = rename3
    old_boundary = 'top'
    new_boundary = 'wall'
  []
[]

[Outputs]
  exodus = true
[]

[Problem]
  kernel_coverage_check = false
  fv_bcs_integrity_check = true
  coord_type = 'RZ'
  rz_coord_axis = 'X'
[]

[GlobalParams]
  rhie_chow_user_object = 'rc'
  # The upwind and Rhie-Chow interpolation schemes are used here.
  advected_interp_method='upwind'
  velocity_interp_method='rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = u
    v = v
    pressure = pressure
  []
[]

[Variables]
  [u]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [v]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_len]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    rho = ${rho}
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = u
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = u
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'x'
    u = u
    v = v
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = v
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = v
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'y'
    u = u
    v = v
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'wall'
    variable = mixing_len
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
  []
[]

[FVBCs]
  [inlet_u]
    type = INSFVInletVelocityBC
    boundary = 'inlet'
    variable = u
    function = ${bulk_u}
  []
  [inlet_v]
    type = INSFVInletVelocityBC
    boundary = 'inlet'
    variable = v
    function = '0'
  []
  [walls_u]
    type = INSFVNoSlipWallBC
    boundary = 'wall'
    variable = u
    function = 0
  []
  [walls_v]
    type = INSFVNoSlipWallBC
    boundary = 'wall'
    variable = v
    function = 0
  []
  [sym_u]
    type = INSFVSymmetryVelocityBC
    boundary = 'symmetry'
    variable = u
    u = u
    v = v
    mu = ${mu}
    momentum_component = x
  []
  [sym_v]
    type = INSFVSymmetryVelocityBC
    boundary = 'symmetry'
    variable = v
    u = u
    v = v
    mu = ${mu}
    momentum_component = y
  []
  [sym_p]
    type = INSFVSymmetryPressureBC
    boundary = 'symmetry'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'outlet'
    variable = pressure
    function = '0'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [delta_P]
    type = PointValue
    variable = 'pressure'
    point = '${fparse total_len - L} 0 0'
  []
  [reference_delta_P]
    type = Receiver
    default = ${ref_delta_P}
  []
[]

(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_total_viscosity_material/mixing_length_total_viscosity.i)

von_karman_const = 0.41

H = 1 #halfwidth of the channel
L = 150

Re = 13700

rho = 1
bulk_u = 1
mu = ${fparse rho * bulk_u * 2 * H / Re}

advected_interp_method='upwind'
velocity_interp_method='rc'

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '${L}'
    dy = '0.667 0.333'
    ix = '200'
    iy = '10  1'
  []
[]

[Problem]
  fv_bcs_integrity_check = false
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_length]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_time]
    type = INSFVMomentumTimeDerivative
    variable = vel_x
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_x
    rho = ${rho}
    mixing_length = mixing_length
    momentum_component = 'x'
    u = vel_x
    v = vel_y
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []

  [v_time]
    type = INSFVMomentumTimeDerivative
    variable = vel_y
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = vel_y
    rho = ${rho}
    mixing_length = mixing_length
    momentum_component = 'y'
    u = vel_x
    v = vel_y
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_length
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
    delta = 0.5
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = vel_x
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = vel_y
    function = '0'
  []
  [wall-u]
    type = INSFVWallFunctionBC
    variable = vel_x
    boundary = 'top'
    u = vel_x
    v = vel_y
    mu = ${mu}
    rho = ${rho}
    momentum_component = x
  []
  [wall-v]
    type = INSFVWallFunctionBC
    variable = vel_y
    boundary = 'top'
    u = vel_x
    v = vel_y
    mu = ${mu}
    rho = ${rho}
    momentum_component = y
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = vel_x
    u = vel_x
    v = vel_y
    mu = total_viscosity
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = vel_y
    u = vel_x
    v = vel_y
    mu = total_viscosity
    momentum_component = y
  []
  [symmetry_pressure]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[FunctorMaterials]
  [total_viscosity]
    type = MixingLengthTurbulentViscosityFunctorMaterial
    u = 'vel_x'                             #computes total viscosity = mu_t + mu
    v = 'vel_y'                             #property is called total_viscosity
    mixing_length = mixing_length
    mu = ${mu}
    rho = ${rho}
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       NONZERO'
  line_search = 'none'
  [TimeStepper]
    type = IterationAdaptiveDT
    optimal_iterations = 6
    dt = 1e-3
  []
  nl_abs_tol = 1e-8
  end_time = 1e9
[]

[Outputs]
  [out]
    type = Exodus
    execute_on = 'final'
  []
[]

(modules/navier_stokes/test/tests/finite_volume/fvbcs/wall_function/Re_t395.i)

von_karman_const = 0.41

H = 1 #halfwidth of the channel
L = 150

Re = 13700

rho = 1
bulk_u = 1
mu = ${fparse rho * bulk_u * 2 * H / Re}

advected_interp_method='upwind'
velocity_interp_method='rc'

[GlobalParams]
  two_term_boundary_expansion = true
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = u
    v = v
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '${L}'
    dy = '0.667 0.333'
    ix = '200'
    iy = '10  1'
  []
[]

[Problem]
  fv_bcs_integrity_check = false
[]

[Variables]
  [u]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [v]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_len]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_shear_stress]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_yplus]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = u
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = u
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'x'
    u = u
    v = v
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = v
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = v
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'y'
    u = u
    v = v
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_len
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
  []
  [wall_shear_stress]
    type = WallFunctionWallShearStressAux
    variable = wall_shear_stress
    walls = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
  []
  [wall_yplus]
    type = WallFunctionYPlusAux
    variable = wall_yplus
    walls = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = u
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = v
    function = '0'
  []
  [wall-u]
    type = INSFVWallFunctionBC
    variable = u
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = x
  []
  [wall-v]
    type = INSFVWallFunctionBC
    variable = v
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = y
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = u
    u = u
    v = v
    mu = total_viscosity
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = v
    u = u
    v = v
    mu = total_viscosity
    momentum_component = y
  []
  [symmetry_pressure]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[FunctorMaterials]
  [total_viscosity]
    type = MixingLengthTurbulentViscosityFunctorMaterial
    u = 'u'                             #computes total viscosity = mu_t + mu
    v = 'v'                             #property is called total_viscosity
    mixing_length = mixing_len
    mu = ${mu}
    rho = ${rho}
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
  petsc_options_value = 'asm      200                lu           NONZERO'
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/mixing_length_eddy_viscosity_aux/mixing_length_eddy_viscosity.i)

von_karman_const = 0.41

H = 1 #halfwidth of the channel
L = 150

Re = 13700

rho = 1
bulk_u = 1
mu = ${fparse rho * bulk_u * 2 * H / Re}

advected_interp_method='upwind'
velocity_interp_method='rc'

[GlobalParams]
  rhie_chow_user_object = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = u
    v = v
    pressure = pressure
  []
[]

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '${L}'
    dy = '0.667 0.333'
    ix = '100'
    iy = '10  1'
  []
[]

[Problem]
  fv_bcs_integrity_check = false
[]

[Variables]
  [u]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [v]
    type = INSFVVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
[]

[AuxVariables]
  [mixing_len]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_shear_stress]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [wall_yplus]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
  [eddy_viscosity]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
  []

  [u_time]
    type = INSFVMomentumTimeDerivative
    variable = u
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_advection]
    type = INSFVMomentumAdvection
    variable = u
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = u
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'x'
    u = u
    v = v
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
  []

  [v_time]
    type = INSFVMomentumTimeDerivative
    variable = v
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_advection]
    type = INSFVMomentumAdvection
    variable = v
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_viscosity_rans]
    type = INSFVMixingLengthReynoldsStress
    variable = v
    rho = ${rho}
    mixing_length = mixing_len
    momentum_component = 'y'
    u = u
    v = v
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
  []
[]

[AuxKernels]
  [mixing_len]
    type = WallDistanceMixingLengthAux
    walls = 'top'
    variable = mixing_len
    execute_on = 'initial'
    von_karman_const = ${von_karman_const}
    delta = 0.5
  []
  [turbulent_viscosity]
    type = INSFVMixingLengthTurbulentViscosityAux
    variable = eddy_viscosity
    mixing_length = mixing_len
    u = u
    v = v
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = u
    function = '1'
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = v
    function = '0'
  []
  [wall-u]
    type = INSFVWallFunctionBC
    variable = u
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = x
  []
  [wall-v]
    type = INSFVWallFunctionBC
    variable = v
    boundary = 'top'
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    momentum_component = y
  []
  [sym-u]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = u
    u = u
    v = v
    mu = ${mu}
    momentum_component = x
  []
  [sym-v]
    type = INSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = v
    u = u
    v = v
    mu = ${mu}
    momentum_component = y
  []
  [symmetry_pressure]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []
  [outlet_p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = '0'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       NONZERO'
  line_search = 'none'
  [TimeStepper]
    type = IterationAdaptiveDT
    optimal_iterations = 6
    dt = 1e-3
  []
  nl_abs_tol = 1e-8
  end_time = 1e9
[]

[Outputs]
  [out]
    type = Exodus
    execute_on = 'final'
  []
[]

Input Parameters
Input Files