INSADMomentumSUPG

This object adds stabilization to the incompressible momentum equation in the form of $var element = document.getElementById("moose-equation-104e153d-88e8-4f6e-81ce-f1ad733ff3e8");katex.render("\\left(\\tau \\vec u \\cdot \\nabla\\psi_i, \\vec R\\right)", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ where $var element = document.getElementById("moose-equation-f278fd8f-693c-446d-bb88-6bac16dc6c97");katex.render("\\tau", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the stabilization parameter, $var element = document.getElementById("moose-equation-d3a9d53e-d339-44c1-aca5-4f63c33a8a6e");katex.render("\\vec u", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the velocity vector and $var element = document.getElementById("moose-equation-8f7264b0-5851-47b5-84c5-2e4cd1cf99b3");katex.render("\\vec R", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the strong residual of the momentum equation. This term adds additional (consistent) streamline diffusion such that higher Reynolds numbers can be simulated without producing crippling oscillations.

Adds the supg stabilization to the INS momentum equation

Input Parameters

variableThe name of the variable that this Kernel operates on
C++ Type:NonlinearVariableName
Options:
Description:The name of the variable that this Kernel operates on
velocityThe velocity variable.
C++ Type:std::vector
Options:
Description:The velocity variable.

Required Parameters

blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
displacementsThe displacements
C++ Type:std::vector
Options:
Description:The displacements
tau_nametauThe name of the stabilization parameter tau.
Default:tau
C++ Type:MaterialPropertyName
Options:
Description:The name of the stabilization parameter tau.

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Options:
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
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
save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Options:
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Options:
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
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
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
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/ins/lid_driven/ad_lid_driven_stabilized.i

modules/navier_stokes/test/tests/ins/lid_driven/ad_lid_driven_stabilized.i

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 64
    ny = 64
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[AuxVariables]
  [vel_x]
  []
  [vel_y]
  []
[]

[AuxKernels]
  [vel_x]
    type = VectorVariableComponentAux
    variable = vel_x
    vector_variable = velocity
    component = 'x'
  []
  [vel_y]
    type = VectorVariableComponentAux
    variable = vel_y
    vector_variable = velocity
    component = 'y'
  []
[]

[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
[]

[ICs]
  [velocity]
    type = VectorConstantIC
    x_value = 1e-15
    y_value = 1e-15
    variable = velocity
  []
[]

[Kernels]
  [./mass]
    type = INSADMass
    variable = p
  [../]
  [./mass_pspg]
    type = INSADMassPSPG
    variable = p
  [../]

  [./momentum_convection]
    type = INSADMomentumAdvection
    variable = velocity
  [../]

  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]

  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
    integrate_p_by_parts = true
  [../]

  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
[]

[BCs]
  [./no_slip]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom right left'
  [../]

  [./lid]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'top'
    function_x = 'lid_function'
  [../]

  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
    transient_term = false
    integrate_p_by_parts = true
    alpha = .1
  []
[]

[Functions]
  [./lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    value = '4*x*(1-x)'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 500
[]

[Outputs]
  exodus = true
  file_base = lid_driven_stabilized_out
  [dofmap]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Postprocessors]
  [lin]
    type = NumLinearIterations
  []
  [nl]
    type = NumNonlinearIterations
  []
  [lin_tot]
    type = CumulativeValuePostprocessor
    postprocessor = 'lin'
  []
  [nl_tot]
    type = CumulativeValuePostprocessor
    postprocessor = 'nl'
  []
[]

Input Parameters
Input Files

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