FVConvectionCorrelationInterface

Computes the residual for a convective heat transfer across an interface for the finite volume method, using a correlation for the heat transfer coefficient.

The surface convective flux to the fluid is then: $var element = document.getElementById("moose-equation-f32d4f4f-87a8-49d1-8dcd-5910f89dd525");katex.render("q_s = h_{correlation} (T_{solid} - T_{fluid})", element, {displayMode:true,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\diff":"\\text{ d}#1","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ with $var element = document.getElementById("moose-equation-93eebc77-fc2c-45e7-a448-db10d1c01bf1");katex.render("q_s", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\diff":"\\text{ d}#1","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ the surface convective heat flux, $var element = document.getElementById("moose-equation-8079f4c1-2961-4858-9e83-3140e1112ef8");katex.render("h_{correlation}", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\diff":"\\text{ d}#1","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ the heat transfer coefficient defined by the correlation as a material property and $var element = document.getElementById("moose-equation-6cef5f82-f56d-4e68-81dc-c4a15cfb2514");katex.render("T_{solid/fluid}", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\diff":"\\text{ d}#1","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ the temperature of the adjacent solid and fluid.

Example input file syntax

In this example, a cold fluid is flowing next to a centrally-heated solid region. The heat diffuses through the solid region, and convection at the interface transfers the heat to the fluid.

[FVInterfaceKernels]
  [convection]
    type = FVConvectionCorrelationInterface
    variable1 = T
    variable2 = Ts
    boundary = 'interface'
    h = 5
    T_solid = Ts
    T_fluid = T
    subdomain1 = 0
    subdomain2 = 1
    wall_cell_is_bulk = true
  []
[]

Input Parameters

T_fluidThe fluid temperature variable
C++ Type:MooseFunctorName
Controllable:No
Description:The fluid temperature variable
T_solidThe solid/wall temperature variable
C++ Type:MooseFunctorName
Controllable:No
Description:The solid/wall temperature variable
boundaryThe list of boundary IDs from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundary IDs from the mesh where this object applies
hThe convective heat transfer coefficient
C++ Type:MooseFunctorName
Controllable:No
Description:The convective heat transfer coefficient
subdomain1The subdomains on the 1st side of the boundary.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The subdomains on the 1st side of the boundary.
subdomain2The subdomains on the 2nd side of the boundary.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The subdomains on the 2nd side of the boundary.
variable1The name of the first variable that this interface kernel applies to
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the first variable that this interface kernel applies to

Required Parameters

bulk_distance-1The distance to the bulk for evaluating the fluid bulk temperature
Default:-1
C++ Type:double
Controllable:No
Description:The distance to the bulk for evaluating the fluid bulk temperature
displacementsThe displacements
C++ Type:std::vector<VariableName>
Controllable:No
Description:The displacements
execute_onLINEARThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS.
Default:LINEAR
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS.
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
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.
variable2The name of the second variable that this interface kernel applies to. If not supplied, variable1 will be used.
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the second variable that this interface kernel applies to. If not supplied, variable1 will be used.
wall_cell_is_bulkFalseUse the wall cell centroid temperature for the fluid bulk temperature
Default:False
C++ Type:bool
Controllable:No
Description:Use the wall cell centroid temperature for the fluid bulk temperature

Optional Parameters

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

ghost_layers1The number of layers of elements to ghost.
Default:1
C++ Type:unsigned short
Controllable:No
Description:The number of layers of elements to ghost.
use_point_neighborsFalseWhether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.

Parallel Ghosting Parameters

(moose/modules/navier_stokes/test/tests/finite_volume/fviks/convection/convection_channel.i)

mu = 1
rho = 1
k = .01
cp = 1

[Mesh]
  [cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 0.5'
    dy = '1'
    ix = '8 5'
    iy = '8'
    subdomain_id = '0 1'
  []
  [interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = 'cmg'
    primary_block = 0
    paired_block = 1
    new_boundary = 'interface'
  []
  [fluid_side]
    type = BreakBoundaryOnSubdomainGenerator
    input = 'interface'
    boundaries = 'top bottom'
  []
[]

[GlobalParams]
  # retain behavior at time of test creation
  two_term_boundary_expansion = false
  rhie_chow_user_object = 'rc'
  advected_interp_method = 'average'
  velocity_interp_method = 'rc'
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = u
    v = v
    block = 0
    pressure = pressure
  []
[]

[Variables]
  [u]
    type = INSFVVelocityVariable
    block = 0
    initial_condition = 1e-6
  []
  [v]
    type = INSFVVelocityVariable
    block = 0
    initial_condition = 1e-6
  []
  [pressure]
    type = INSFVPressureVariable
    block = 0
  []
  [T]
    type = INSFVEnergyVariable
    block = 0
    initial_condition = 1
  []
  [Ts]
    type = INSFVEnergyVariable
    block = 1
  []
  [lambda]
    family = SCALAR
    order = FIRST
  []
[]

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

  [u_advection]
    type = INSFVMomentumAdvection
    variable = u
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = u
    mu = ${mu}
    momentum_component = 'x'
  []
  [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_pressure]
    type = INSFVMomentumPressure
    variable = v
    momentum_component = 'y'
    pressure = pressure
  []

  [temp_conduction]
    type = FVDiffusion
    coeff = 'k'
    variable = T
  []
  [temp_advection]
    type = INSFVEnergyAdvection
    variable = T
  []

  [solid_temp_conduction]
    type = FVDiffusion
    coeff = 'k'
    variable = Ts
  []
[]

[FVInterfaceKernels]
  [convection]
    type = FVConvectionCorrelationInterface
    variable1 = T
    variable2 = Ts
    boundary = 'interface'
    h = 5
    T_solid = Ts
    T_fluid = T
    subdomain1 = 0
    subdomain2 = 1
    wall_cell_is_bulk = true
  []
[]

[FVBCs]
  [walls_u]
    type = INSFVNoSlipWallBC
    variable = u
    boundary = 'interface left'
    function = 0
  []
  [walls_v]
    type = INSFVNoSlipWallBC
    variable = v
    boundary = 'interface left'
    function = 0
  []

  [inlet_u]
    type = INSFVInletVelocityBC
    variable = u
    boundary = 'bottom_to_0'
    function = 0
  []
  [inlet_v]
    type = INSFVInletVelocityBC
    variable = v
    boundary = 'bottom_to_0'
    function = 1
  []

  [inlet_T]
    type = FVDirichletBC
    variable = T
    boundary = 'bottom_to_0'
    value = 0.5
  []

  [outlet]
    type = INSFVMassAdvectionOutflowBC
    variable = pressure
    boundary = 'top_to_0'
    u = u
    v = v
    rho = ${rho}
  []
  [outlet_u]
    type = INSFVMomentumAdvectionOutflowBC
    variable = u
    boundary = 'top_to_0'
    u = u
    v = v
    momentum_component = 'x'
    rho = ${rho}
  []
  [outlet_v]
    type = INSFVMomentumAdvectionOutflowBC
    variable = v
    boundary = 'top_to_0'
    u = u
    v = v
    momentum_component = 'y'
    rho = ${rho}
  []

  [heater]
    type = FVDirichletBC
    variable = 'Ts'
    boundary = 'right'
    value = 10
  []
[]

[Materials]
  [functor_constants]
    type = ADGenericFunctorMaterial
    prop_names = 'cp k'
    prop_values = '${cp} ${k}'
  []
  [ins_fv]
    type = INSFVEnthalpyMaterial
    temperature = 'T'
    rho = ${rho}
    block = 0
  []
[]

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

  nl_abs_tol = 1e-14
[]

[Postprocessors]
  [max_T]
    type = ADElementExtremeFunctorValue
    functor = T
    block = 0
  []
  [max_Ts]
    type = ADElementExtremeFunctorValue
    functor = Ts
    block = 1
  []
  [mdot_out]
    type = VolumetricFlowRate
    boundary = 'top_to_0'
    vel_x = u
    vel_y = v
    advected_quantity = ${rho}
  []
[]

[Outputs]
  exodus = true
[]

Example input file syntax
Input Parameters