PINSFVEnergyDiffusion

Description

This kernel implements a diffusion term for the fluid energy equation. This kernel accepts a regular thermal conductivity material property, an effective thermal conductivity may be specified using a PINSFVEnergyEffectiveDiffusion kernel.

$var element = document.getElementById("moose-equation-f414d558-face-4c5e-975d-9178a47b6b84");katex.render("\\nabla \\cdot \\left( \\epsilon k \\nabla T \\right) = \\epsilon \\nabla \\cdot k \\nabla T + k \\nabla T \\nabla \\epsilon", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ where $var element = document.getElementById("moose-equation-bf2ac4bc-6e1f-4670-8ab9-7596598f7c90");katex.render("\\epsilon", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the porosity, $var element = document.getElementById("moose-equation-8c59f04d-738a-4762-959f-ab0e8d0c9f5f");katex.render("k", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the thermal conductivity, and $var element = document.getElementById("moose-equation-dd688f0a-30dd-4338-98bb-877e5affa04c");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ the fluid temperature.

The porosity gradient term creates oscillations in the presence of porosity discontinuities and is generally neglected. It is not computed by this kernel.

Input Parameters

kThermal conductivity
C++ Type:MaterialPropertyName
Options:
Description:Thermal conductivity
porosityPorosity variable
C++ Type:std::vector<VariableName>
Options:
Description:Porosity variable
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

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Options:
Description:The list of blocks (ids or names) 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_layers2The number of layers of elements to ghost.
Default:2
C++ Type:unsigned short
Options:
Description:The number of layers of elements to ghost.
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
Options:
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_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

(modules/navier_stokes/test/tests/finite_volume/pins/channel-flow/heated/2d-rc-heated.i)
(modules/navier_stokes/test/tests/finite_volume/pins/channel-flow/heated/2d-rc-heated-boussinesq.i)

(modules/navier_stokes/test/tests/finite_volume/pins/channel-flow/heated/2d-rc-heated.i)

mu=1
rho=1
k=1e-3
cp=1
u_inlet=1
T_inlet=200
advected_interp_method='average'
velocity_interp_method='rc'

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 10
    ymin = 0
    ymax = 1
    nx = 100
    ny = 20
  []
[]

[GlobalParams]
  two_term_boundary_expansion = true
[]

[Variables]
  inactive = 'temp_solid'
  [u]
    type = PINSFVSuperficialVelocityVariable
    initial_condition = ${u_inlet}
  []
  [v]
    type = PINSFVSuperficialVelocityVariable
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [temperature]
    type = INSFVEnergyVariable
  []
  [temp_solid]
    family = 'MONOMIAL'
    order = 'CONSTANT'
    fv = true
  []
[]

[AuxVariables]
  [temp_solid]
    family = 'MONOMIAL'
    order = 'CONSTANT'
    fv = true
    initial_condition = 100
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 0.5
  []
[]

[FVKernels]
  inactive = 'solid_energy_diffusion solid_energy_convection'
  [mass]
    type = PINSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    vel = 'velocity'
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []

  [u_advection]
    type = PINSFVMomentumAdvection
    variable = u
    advected_quantity = 'rhou'
    vel = 'velocity'
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []
  [u_viscosity]
    type = PINSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    porosity = porosity
  []
  [u_pressure]
    type = PINSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
    porosity = porosity
  []

  [v_advection]
    type = PINSFVMomentumAdvection
    variable = v
    advected_quantity = 'rhov'
    vel = 'velocity'
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []
  [v_viscosity]
    type = PINSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    porosity = porosity
  []
  [v_pressure]
    type = PINSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
    porosity = porosity
  []

  [energy_advection]
    type = PINSFVEnergyAdvection
    variable = temperature
    vel = 'velocity'
    velocity_interp_method = ${velocity_interp_method}
    advected_interp_method = ${advected_interp_method}
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []
  [energy_diffusion]
    type = PINSFVEnergyDiffusion
    k = ${k}
    variable = temperature
    porosity = porosity
  []
  [energy_convection]
    type = PINSFVEnergyAmbientConvection
    variable = temperature
    is_solid = false
    temp_fluid = temperature
    temp_solid = temp_solid
    h_solid_fluid = 'h_cv'
  []

  [solid_energy_diffusion]
    type = FVDiffusion
    coeff = ${k}
    variable = temp_solid
  []
  [solid_energy_convection]
    type = PINSFVEnergyAmbientConvection
    variable = temp_solid
    is_solid = true
    temp_fluid = temperature
    temp_solid = temp_solid
    h_solid_fluid = 'h_cv'
  []
[]

[FVBCs]
  inactive = 'heated-side'
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = u
    function = ${u_inlet}
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'left'
    variable = v
    function = 0
  []
  [inlet-T]
    type = FVNeumannBC
    variable = temperature
    value = ${fparse u_inlet * rho * cp * T_inlet}
    boundary = 'left'
  []

  [no-slip-u]
    type = INSFVNoSlipWallBC
    boundary = 'top'
    variable = u
    function = 0
  []
  [no-slip-v]
    type = INSFVNoSlipWallBC
    boundary = 'top'
    variable = v
    function = 0
  []
  [heated-side]
    type = FVDirichletBC
    boundary = 'top'
    variable = 'temp_solid'
    value = 150
  []

  [symmetry-u]
    type = PINSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = u
    u = u
    v = v
    mu = ${mu}
    momentum_component = 'x'
    porosity = porosity
  []
  [symmetry-v]
    type = PINSFVSymmetryVelocityBC
    boundary = 'bottom'
    variable = v
    u = u
    v = v
    mu = ${mu}
    momentum_component = 'y'
    porosity = porosity
  []
  [symmetry-p]
    type = INSFVSymmetryPressureBC
    boundary = 'bottom'
    variable = pressure
  []

  [outlet-p]
    type = INSFVOutletPressureBC
    boundary = 'right'
    variable = pressure
    function = 0.1
  []
[]

[Materials]
  [constants]
    type = ADGenericConstantMaterial
    prop_names = 'cp h_cv'
    prop_values = '${cp} 1'
  []
  [ins_fv]
    type = INSFVMaterial
    u = 'u'
    v = 'v'
    pressure = 'pressure'
    rho = ${rho}
    temperature = 'temperature'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
  petsc_options_value = 'asm      100                lu           NONZERO'
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

# Some basic Postprocessors to examine the solution
[Postprocessors]
  [inlet-p]
    type = SideAverageValue
    variable = pressure
    boundary = 'left'
  []
  [outlet-u]
    type = SideAverageValue
    variable = u
    boundary = 'right'
  []
  [outlet-temp]
    type = SideAverageValue
    variable = temperature
    boundary = 'right'
  []
  [solid-temp]
    type = ElementAverageValue
    variable = temp_solid
  []
[]

[Outputs]
  exodus = true
  csv = false
[]

(modules/navier_stokes/test/tests/finite_volume/pins/channel-flow/heated/2d-rc-heated-boussinesq.i)

mu=1
rho=1
k=1e-3
cp=1
v_inlet=1
T_inlet=200
advected_interp_method='average'
velocity_interp_method='rc'

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 2
    ymin = 0
    ymax = 10
    nx = 20
    ny = 100
  []
[]

[GlobalParams]
  two_term_boundary_expansion = true
[]

[Variables]
  [u]
    type = PINSFVSuperficialVelocityVariable
    initial_condition = 1e-6
  []
  [v]
    type = PINSFVSuperficialVelocityVariable
    initial_condition = ${v_inlet}
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [temperature]
    type = INSFVEnergyVariable
  []
[]

[AuxVariables]
  [temp_solid]
    family = 'MONOMIAL'
    order = 'CONSTANT'
    fv = true
    initial_condition = 100
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
    fv = true
    initial_condition = 0.4
  []
[]

[FVKernels]
  [mass]
    type = PINSFVMassAdvection
    variable = pressure
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    vel = 'velocity'
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []

  [u_advection]
    type = PINSFVMomentumAdvection
    variable = u
    advected_quantity = 'rhou'
    vel = 'velocity'
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []
  [u_viscosity]
    type = PINSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    porosity = porosity
  []
  [u_pressure]
    type = PINSFVMomentumPressure
    variable = u
    momentum_component = 'x'
    pressure = pressure
    porosity = porosity
  []
  [u_gravity]
    type = PINSFVMomentumGravity
    variable = u
    rho = ${rho}
    gravity = '0 -9.81 0'
    momentum_component = 'x'
    porosity = porosity
  []
  [u_boussinesq]
    type = PINSFVMomentumBoussinesq
    variable = u
    temperature = 'temperature'
    rho = ${rho}
    ref_temperature = 150
    gravity = '0 -9.81 0'
    momentum_component = 'x'
    porosity = porosity
  []

  [v_advection]
    type = PINSFVMomentumAdvection
    variable = v
    advected_quantity = 'rhov'
    vel = 'velocity'
    advected_interp_method = ${advected_interp_method}
    velocity_interp_method = ${velocity_interp_method}
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []
  [v_viscosity]
    type = PINSFVMomentumDiffusion
    variable = v
    mu = ${mu}
    porosity = porosity
  []
  [v_pressure]
    type = PINSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
    porosity = porosity
  []
  [v_gravity]
    type = PINSFVMomentumGravity
    variable = v
    rho = ${rho}
    gravity = '-0 -9.81 0'
    momentum_component = 'y'
    porosity = porosity
  []
  [v_boussinesq]
    type = PINSFVMomentumBoussinesq
    variable = v
    temperature = 'temperature'
    rho = ${rho}
    ref_temperature = 150
    gravity = '0 -9.81 0'
    momentum_component = 'y'
    porosity = porosity
  []

  [energy_advection]
    type = PINSFVEnergyAdvection
    variable = temperature
    vel = 'velocity'
    velocity_interp_method = ${velocity_interp_method}
    advected_interp_method = ${advected_interp_method}
    pressure = pressure
    u = u
    v = v
    mu = ${mu}
    rho = ${rho}
    porosity = porosity
  []
  [energy_diffusion]
    type = PINSFVEnergyDiffusion
    k = ${k}
    variable = temperature
    porosity = porosity
  []
  [energy_convection]
    type = PINSFVEnergyAmbientConvection
    variable = temperature
    is_solid = false
    temp_fluid = temperature
    temp_solid = temp_solid
    h_solid_fluid = 'h_cv'
  []
[]

[FVBCs]
  [inlet-u]
    type = INSFVInletVelocityBC
    boundary = 'bottom'
    variable = u
    function = 0
  []
  [inlet-v]
    type = INSFVInletVelocityBC
    boundary = 'bottom'
    variable = v
    function = ${v_inlet}
  []
  [inlet-T]
    type = FVNeumannBC
    variable = temperature
    value = ${fparse v_inlet * rho * cp * T_inlet}
    boundary = 'bottom'
  []

  [no-slip-u]
    type = INSFVNoSlipWallBC
    boundary = 'right'
    variable = u
    function = 0
  []
  [no-slip-v]
    type = INSFVNoSlipWallBC
    boundary = 'right'
    variable = v
    function = 0
  []

  [symmetry-u]
    type = PINSFVSymmetryVelocityBC
    boundary = 'left'
    variable = u
    u = u
    v = v
    mu = ${mu}
    momentum_component = 'x'
    porosity = porosity
  []
  [symmetry-v]
    type = PINSFVSymmetryVelocityBC
    boundary = 'left'
    variable = v
    u = u
    v = v
    mu = ${mu}
    momentum_component = 'y'
    porosity = porosity
  []
  [symmetry-p]
    type = INSFVSymmetryPressureBC
    boundary = 'left'
    variable = pressure
  []

  [outlet-p]
    type = INSFVOutletPressureBC
    boundary = 'top'
    variable = pressure
    function = 0
  []
[]

[Materials]
  [constants]
    type = ADGenericConstantMaterial
    prop_names = 'cp h_cv alpha'
    prop_values = '${cp} 1e-3 8e-4'
  []

  [ins_fv]
    type = INSFVMaterial
    u = 'u'
    v = 'v'
    pressure = 'pressure'
    rho = ${rho}
    temperature = 'temperature'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
  petsc_options_value = 'asm      100                lu           NONZERO'
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

# Some basic Postprocessors to examine the solution
[Postprocessors]
  [inlet-p]
    type = SideAverageValue
    variable = pressure
    boundary = 'top'
  []
  [outlet-v]
    type = SideAverageValue
    variable = v
    boundary = 'top'
  []
  [outlet-temp]
    type = SideAverageValue
    variable = temperature
    boundary = 'top'
  []
[]

[Outputs]
  exodus = true
  csv = false
[]

Description
Input Parameters
Input Files

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