INSADMomentumTimeDerivative

This object adds the $var element = document.getElementById("moose-equation-f87ed278-82d0-4253-858a-94a2d8f5032b");katex.render("\\rho\\frac{\\partial \\vec u}{\\partial t}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ term of the incompressible Navier Stokes momentum equation where $var element = document.getElementById("moose-equation-583dc432-f92c-40cc-99a5-f2d6559c06f5");katex.render("\\rho", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the density, $var element = document.getElementById("moose-equation-912920ec-51f8-4c01-acca-16e3d3db2b42");katex.render("\\vec u", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the velocity, and $var element = document.getElementById("moose-equation-25c80733-8885-4d05-bf08-e8250b33e77e");katex.render("t", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is time.

This class computes the time derivative for the incompressible Navier-Stokes 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

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
rho_namerhodensity name
Default:rho
C++ Type:MaterialPropertyName
Options:
Description:density name
temperatureThe temperature on which material properties may depend. If properties do depend on temperature, this variable must be coupled in in order to correctly resize the element matrix
C++ Type:std::vector
Options:
Description:The temperature on which material properties may depend. If properties do depend on temperature, this variable must be coupled in in order to correctly resize the element matrix

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_tagssystem timeThe tag for the matrices this Kernel should fill
Default:system time
C++ Type:MultiMooseEnum
Options:nontime system time
Description:The tag for the matrices this Kernel should fill
vector_tagstimeThe tag for the vectors this Kernel should fill
Default:time
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.i

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

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
    elem_type = QUAD9
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[AuxVariables]
  [vel_x]
    order = SECOND
  []
  [vel_y]
    order = SECOND
  []
[]

[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]
    order = SECOND
    family = LAGRANGE_VEC
  [../]

  [./T]
    order = SECOND
    [./InitialCondition]
      type = ConstantIC
      value = 1.0
    [../]
  [../]

  [./p]
  [../]
[]

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

  [./momentum_time]
    type = INSADMomentumTimeDerivative
    variable = velocity
  [../]

  [./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
  [../]

 [./temperature_time]
   type = ADHeatConductionTimeDerivative
   variable = T
   specific_heat = 'cp'
   density_name = 'rho'
 [../]

 [./temperature_advection]
   type = INSADTemperatureAdvection
   variable = T
   velocity = velocity
 [../]

 [./temperature_conduction]
   type = ADHeatConduction
   variable = T
   thermal_conductivity = 'k'
 [../]
[]

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

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

  [./T_hot]
    type = DirichletBC
    variable = T
    boundary = 'bottom'
    value = 1
  [../]

  [./T_cold]
    type = DirichletBC
    variable = T
    boundary = 'top'
    value = 0
  [../]

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

[Materials]
  [./const]
    type = GenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADMaterial
    velocity = velocity
    pressure = p
    transient_term = true
    integrate_p_by_parts = true
  []
[]

[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 = Transient
  # Run for 100+ timesteps to reach steady state.
  num_steps = 5
  dt = .5
  dtmin = .5
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'asm      2               ilu          4'
  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]
  file_base = lid_driven_out
  exodus = true
  perf_graph = true
[]

Input Parameters
Input Files

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