PINSFVMomentumBoussinesq

This object adds a $var element = document.getElementById("moose-equation-ba0c9139-bc57-48c1-a511-52df77984fd1");katex.render("\\epsilon\\rho\\alpha\\vec{g}(T - T_{ref})", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ term to the incompressible porous media Navier Stokes (PINS) momentum equations where $var element = document.getElementById("moose-equation-36a82dd9-c96b-463a-a117-fddb1310643b");katex.render("\\epsilon", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the porosity, $var element = document.getElementById("moose-equation-5debbee8-3d3a-4282-9785-d9c83d931241");katex.render("\\rho", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the density, $var element = document.getElementById("moose-equation-17779680-fa1f-48eb-bd23-679c25b12536");katex.render("\\alpha", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the thermal expansion coefficient, $var element = document.getElementById("moose-equation-c81206c6-8649-4b18-860e-ae76b8fb708a");katex.render("\\vec{g}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the gravity vector, $var element = document.getElementById("moose-equation-64b626c0-55e1-4712-87ab-c9507a81a40a");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the temperature, and $var element = document.getElementById("moose-equation-838565dc-0198-4136-8be1-39a832d74368");katex.render("T_{ref}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is a reference temperature. The term above introduces the Boussinesq approximation into the PINS equations, which allows for modeling natural convection and the effect of buoyancy.

Input Parameters

gravityDirection of the gravity vector
C++ Type:libMesh::VectorValue<double>
Options:
Description:Direction of the gravity vector
momentum_componentThe component of the momentum equation that this kernel applies to.
C++ Type:MooseEnum
Options:x, y, z
Description:The component of the momentum equation that this kernel applies to.
porosityPorosity auxiliary variable
C++ Type:std::vector<VariableName>
Options:
Description:Porosity auxiliary variable
ref_temperatureThe value for the reference temperature.
C++ Type:double
Options:
Description:The value for the reference temperature.
rhoThe value for the density
C++ Type:double
Options:
Description:The value for the density
temperaturetemperature variable
C++ Type:std::vector<VariableName>
Options:
Description:temperature 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

alpha_namealphaThe name of the thermal expansion coefficientthis is of the form rho = rho*(1-alpha (T-T_ref))
Default:alpha
C++ Type:MaterialPropertyName
Options:
Description:The name of the thermal expansion coefficientthis is of the form rho = rho*(1-alpha (T-T_ref))
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
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.
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-boussinesq.i)

(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
[]

Input Parameters
Input Files

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