- variableThe variable this initial condition is supposed to provide values for.
C++ Type:VariableName
Description:The variable this initial condition is supposed to provide values for.
 - x_valueThe x value to be set in IC
C++ Type:double
Description:The x value to be set in IC
 
VectorConstantIC
The VectorConstantIC class is used to set initial values of components of a vector variable. The x component can be set through the x_value parameter, the y component through y_value, and the z component through z_value. Note that x_value is required. If y_value or z_value are not supplied, they are defaulted to zero.
Sets constant component values for a vector field variable.
Input Parameters
- blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector<SubdomainName>
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
 - boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector<BoundaryName>
Options:
Description:The list of boundary IDs from the mesh where this boundary condition applies
 - y_value0The y value to be set in IC
Default:0
C++ Type:double
Options:
Description:The y value to be set in IC
 - z_value0The z value to be set in IC
Default:0
C++ Type:double
Options:
Description:The z value to be set in IC
 
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.
 - ignore_uo_dependencyFalseWhen set to true, a UserObject retrieved by this IC will not be executed before the this IC
Default:False
C++ Type:bool
Options:
Description:When set to true, a UserObject retrieved by this IC will not be executed before the this IC
 
Advanced Parameters
Input Files
- (modules/navier_stokes/test/tests/ins/coupled-force/gravity-through-coupled-force-action.i)
 - (modules/navier_stokes/test/tests/ins/wall_convection/steady.i)
 - (modules/navier_stokes/test/tests/ins/lid_driven/ad_lid_driven_stabilized.i)
 - (modules/navier_stokes/test/tests/ins/energy_source/steady-var.i)
 - (modules/navier_stokes/test/tests/ins/lid_driven/ad_lid_driven_stabilized_with_temp.i)
 - (test/tests/kernels/ad_transient_diffusion/ad_transient_vector_diffusion.i)
 - (modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_by_parts_steady_stabilized_second_order.i)
 - (modules/navier_stokes/test/tests/ins/coupled-force/steady.i)
 - (modules/navier_stokes/test/tests/ins/boussinesq/benchmark/benchmark.i)
 - (modules/navier_stokes/test/tests/ins/energy_source/steady.i)
 - (modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_by_parts_steady_stabilized.i)
 - (modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_no_parts_steady_stabilized.i)
 - (modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_no_parts_steady_stabilized_second_order.i)
 - (modules/navier_stokes/test/tests/ins/boussinesq/boussinesq_stabilized.i)
 - (modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_stab_jac_test.i)
 - (modules/navier_stokes/test/tests/ins/coupled-force/gravity-object.i)
 - (test/tests/ics/vector_constant_ic/vector_constant_ic.i)
 - (test/tests/kernels/transient_vector_diffusion/transient_vector_diffusion.i)
 - (modules/navier_stokes/test/tests/ins/lid_driven/mixed-transient-steady/mixed.i)
 - (modules/navier_stokes/test/tests/ins/coupled-force/gravity-through-coupled-force.i)
 - (modules/navier_stokes/test/tests/ins/lid_driven/ad_lid_driven_stabilized_with_temp_transient.i)
 - (modules/navier_stokes/test/tests/ins/coupled-force/steady-function.i)
 - (modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_by_parts_traction_steady_stabilized.i)
 
References
(modules/navier_stokes/test/tests/ins/coupled-force/gravity-through-coupled-force-action.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
[]
[Variables]
  [u]
    family = LAGRANGE_VEC
  []
[]
[AuxVariables]
  [gravity]
    family = LAGRANGE_VEC
  []
[]
[ICs]
  [gravity]
    type = VectorConstantIC
    x_value = '0'
    y_value = '-9.81'
    variable = gravity
  []
[]
[Modules]
  [IncompressibleNavierStokes]
    equation_type = steady-state
    velocity_boundary = 'bottom right top left'
    velocity_function = '0 0    0 0   0 0 0 0'
    add_standard_velocity_variables_for_ad = false
    pressure_pinned_node = 0
    density_name = rho
    dynamic_viscosity_name = mu
    use_ad = true
    laplace = true
    family = LAGRANGE
    order = FIRST
    supg = true
    pspg = true
    has_coupled_force = true
  []
[]
[Kernels]
  [u_diff]
    type = VectorDiffusion
    variable = u
  []
[]
[BCs]
  [u_left]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'left'
    function_x = 1
    function_y = 1
  []
  [u_right]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'right'
    function_x = -1
    function_y = -1
  []
[]
[Materials]
  [const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  []
[]
[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  [out]
    type = Exodus
    hide = 'gravity'
  []
[]
[Functions]
  [vector_func]
    type = ParsedVectorFunction
    value_x = '-2*x + 1'
    value_y = '-2*x + 1'
  []
  [vector_gravity_func]
    type = ParsedVectorFunction
    value_x = '0'
    value_y = '-9.81'
  []
[]
(modules/navier_stokes/test/tests/ins/wall_convection/steady.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [temperature][]
[]
[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
  [../]
 [./temperature_advection]
   type = INSADEnergyAdvection
   variable = temperature
 [../]
  [./temperature_conduction]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = 'k'
  [../]
  [temperature_ambient_convection]
    type = INSADEnergyAmbientConvection
    variable = temperature
    alpha = 1
    T_ambient = 0.5
  []
  [temperature_supg]
    type = INSADEnergySUPG
    variable = temperature
    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
  [../]
  [./temperature_hot]
    type = DirichletBC
    variable = temperature
    boundary = 'bottom'
    value = 1
  [../]
  [./temperature_cold]
    type = DirichletBC
    variable = temperature
    boundary = 'top'
    value = 0
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temperature
  []
[]
[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)'
  [../]
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(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 = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
    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
[]
[Postprocessors]
  [lin]
    type = NumLinearIterations
  []
  [nl]
    type = NumNonlinearIterations
  []
  [lin_tot]
    type = CumulativeValuePostprocessor
    postprocessor = 'lin'
  []
  [nl_tot]
    type = CumulativeValuePostprocessor
    postprocessor = 'nl'
  []
[]
(modules/navier_stokes/test/tests/ins/energy_source/steady-var.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[AuxVariables]
  [u]
    initial_condition = 1
  []
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [temperature][]
[]
[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
  [../]
 [./temperature_advection]
   type = INSADEnergyAdvection
   variable = temperature
 [../]
  [./temperature_conduction]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = 'k'
  [../]
  [temperature_source]
    type = INSADEnergySource
    variable = temperature
    source_variable = u
  []
  [temperature_supg]
    type = INSADEnergySUPG
    variable = temperature
    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
  [../]
  [./temperature_hot]
    type = DirichletBC
    variable = temperature
    boundary = 'bottom'
    value = 1
  [../]
  [./temperature_cold]
    type = DirichletBC
    variable = temperature
    boundary = 'top'
    value = 0
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temperature
  []
[]
[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)'
  [../]
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  [out]
    type = Exodus
    hide = 'u'
  []
[]
(modules/navier_stokes/test/tests/ins/lid_driven/ad_lid_driven_stabilized_with_temp.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [temperature][]
[]
[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
  [../]
 [./temperature_advection]
   type = INSADEnergyAdvection
   variable = temperature
 [../]
 [./temperature_conduction]
   type = ADHeatConduction
   variable = temperature
   thermal_conductivity = 'k'
 [../]
  [temperature_supg]
    type = INSADEnergySUPG
    variable = temperature
    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
  [../]
  [./temperature_hot]
    type = DirichletBC
    variable = temperature
    boundary = 'bottom'
    value = 1
  [../]
  [./temperature_cold]
    type = DirichletBC
    variable = temperature
    boundary = 'top'
    value = 0
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temperature
  []
[]
[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)'
  [../]
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(test/tests/kernels/ad_transient_diffusion/ad_transient_vector_diffusion.i)
[Mesh]
  [./generator]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  [../]
  [./block1]
    type = SubdomainBoundingBoxGenerator
    input = generator
    bottom_left = '0 0 -1'
    top_right = '1 1 1'
    block_id = 1
  [../]
  [./block2]
    type = SubdomainBoundingBoxGenerator
    input = block1
    bottom_left = '0.33 0.33 -1'
    top_right = '0.67 0.67 1'
    block_id = 2
  [../]
[]
[Variables]
  [./u]
    family = LAGRANGE_VEC
  [../]
[]
[ICs]
  [./u]
    type = VectorConstantIC
    variable = u
    x_value = 1
    y_value = 2
    z_value = 3
    block = 2
  [../]
[]
[Kernels]
  [./diff]
    type = ADVectorDiffusion
    variable = u
  [../]
  [./time]
    type = ADVectorTimeDerivative
    variable = u
  [../]
[]
[Executioner]
  type = Transient
  num_steps = 20
  dt = 0.01
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
  exodus = true
[]
(modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_by_parts_steady_stabilized_second_order.i)
[GlobalParams]
  order = SECOND
  integrate_p_by_parts = true
[]
[Mesh]
  file = '2d_cone.msh'
[]
[Problem]
  coord_type = RZ
[]
[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]
    order = FIRST
  [../]
[]
# Need to set a non-zero initial condition because we have a velocity norm in
# the denominator for the tau coefficient of the stabilization term
[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_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
  [../]
  [momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
[]
[BCs]
  [inlet]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom'
    function_x = 0
    function_y = 'inlet_func'
  [../]
  [wall]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'right'
    function_x = 0
    function_y = 0
  []
  [axis]
    type = ADVectorFunctionDirichletBC
    variable = velocity
    boundary = 'left'
    set_y_comp = false
    function_x = 0
  []
[]
[Functions]
  [./inlet_func]
    type = ParsedFunction
    value = '-4 * x^2 + 1'
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  csv = true
  console = true
  [./out]
    type = Exodus
  [../]
[]
[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]
(modules/navier_stokes/test/tests/ins/coupled-force/steady.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [u]
    family = LAGRANGE_VEC
  []
[]
[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_coupled_force]
    type = INSADMomentumCoupledForce
    variable = velocity
    coupled_vector_var = u
  []
  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
  [u_diff]
    type = VectorDiffusion
    variable = u
  []
[]
[BCs]
  [./no_slip]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom right left top'
  [../]
  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
  [u_left]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'left'
    function_x = 1
    function_y = 1
  []
  [u_right]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'right'
    function_x = -1
    function_y = -1
  []
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(modules/navier_stokes/test/tests/ins/boussinesq/benchmark/benchmark.i)
rayleigh=1e3
hot_temp=${rayleigh}
temp_ref=${fparse hot_temp / 2.}
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 100
  []
  [./bottom_left]
    type = ExtraNodesetGenerator
    new_boundary = corner
    coord = '0 0'
    input = gen
  [../]
[]
[Preconditioning]
  [./Newton_SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  nl_rel_tol = 1e-12
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -ksp_gmres_restart'
  petsc_options_value = 'bjacobi  lu           NONZERO                   200'
[]
[Debug]
  show_var_residual_norms = true
[]
[Outputs]
  [out]
    type = Exodus
  []
[]
[Variables]
  [velocity]
    family = LAGRANGE_VEC
  []
  [p][]
  [temp]
    initial_condition = 340
    scaling = 1e-4
  []
[]
[ICs]
  [velocity]
    type = VectorConstantIC
    x_value = 1e-15
    y_value = 1e-15
    variable = velocity
  []
[]
[BCs]
  [./velocity_dirichlet]
    type = VectorDirichletBC
    boundary = 'left right bottom top'
    variable = velocity
    # The third entry is to satisfy RealVectorValue
    values = '0 0 0'
  [../]
  # Even though we are integrating by parts, because there are no integrated
  # boundary conditions on the velocity p doesn't appear in the system of
  # equations. Thus we must pin the pressure somewhere in order to ensure a
  # unique solution
  [./p_zero]
    type = DirichletBC
    boundary = corner
    variable = p
    value = 0
  [../]
  [./hot]
    type = DirichletBC
    variable = temp
    boundary = left
    value = ${hot_temp}
  [../]
  [./cold]
    type = DirichletBC
    variable = temp
    boundary = right
    value = 0
  [../]
[]
[Kernels]
  [./mass]
    type = INSADMass
    variable = p
  [../]
  [mass_pspg]
    type = INSADMassPSPG
    variable = p
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [momentum_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
    integrate_p_by_parts = true
  []
  [./buoyancy]
    type = INSADBoussinesqBodyForce
    variable = velocity
    temperature = temp
    gravity = '0 -1 0'
  [../]
  [./gravity]
    type = INSADGravityForce
    variable = velocity
    gravity = '0 -1 0'
  [../]
  [supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
  [temp_advection]
    type = INSADEnergyAdvection
    variable = temp
  []
  [temp_conduction]
    type = ADHeatConduction
    variable = temp
    thermal_conductivity = 'k'
  [../]
  [temp_supg]
    type = INSADEnergySUPG
    variable = temp
    velocity = velocity
  []
[]
[Materials]
  [./ad_const]
    type = ADGenericConstantMaterial
    # alpha = coefficient of thermal expansion where rho  = rho0 -alpha * rho0 * delta T
    prop_names =  'mu        rho   alpha   k        cp'
    prop_values = '1         1     1       1        1'
  [../]
  [./const]
    type = GenericConstantMaterial
    prop_names =  'temp_ref'
    prop_values = '${temp_ref}'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temp
  []
[]
(modules/navier_stokes/test/tests/ins/energy_source/steady.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [temperature][]
[]
[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
  [../]
 [./temperature_advection]
   type = INSADEnergyAdvection
   variable = temperature
 [../]
  [./temperature_conduction]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = 'k'
  [../]
  [temperature_source]
    type = INSADEnergySource
    variable = temperature
    source_function = 1
  []
  [temperature_supg]
    type = INSADEnergySUPG
    variable = temperature
    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
  [../]
  [./temperature_hot]
    type = DirichletBC
    variable = temperature
    boundary = 'bottom'
    value = 1
  [../]
  [./temperature_cold]
    type = DirichletBC
    variable = temperature
    boundary = 'top'
    value = 0
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temperature
  []
[]
[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)'
  [../]
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_by_parts_steady_stabilized.i)
[GlobalParams]
  order = FIRST
  integrate_p_by_parts = true
[]
[Mesh]
  file = '2d_cone.msh'
[]
[Problem]
  coord_type = RZ
[]
[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]
  [../]
[]
# Need to set a non-zero initial condition because we have a velocity norm in
# the denominator for the tau coefficient of the stabilization term
[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_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
  [../]
  [momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
[]
[BCs]
  [inlet]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom'
    function_x = 0
    function_y = 'inlet_func'
  [../]
  [wall]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'right'
    function_x = 0
    function_y = 0
  []
  [axis]
    type = ADVectorFunctionDirichletBC
    variable = velocity
    boundary = 'left'
    set_y_comp = false
    function_x = 0
  []
[]
[Functions]
  [./inlet_func]
    type = ParsedFunction
    value = '-4 * x^2 + 1'
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  csv = true
  console = true
  [./out]
    type = Exodus
  [../]
[]
[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]
(modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_no_parts_steady_stabilized.i)
[GlobalParams]
  order = FIRST
  integrate_p_by_parts = false
[]
[Mesh]
  file = '2d_cone.msh'
[]
[Problem]
  coord_type = RZ
[]
[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]
  [../]
[]
# Need to set a non-zero initial condition because we have a velocity norm in
# the denominator for the tau coefficient of the stabilization term
[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_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
  [../]
  [momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
[]
[BCs]
  [p_corner]
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  []
  [inlet]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom'
    function_x = 0
    function_y = 'inlet_func'
  [../]
  [wall]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'right'
    function_x = 0
    function_y = 0
  []
  [axis]
    type = ADVectorFunctionDirichletBC
    variable = velocity
    boundary = 'left'
    set_y_comp = false
    function_x = 0
  []
[]
[Functions]
  [./inlet_func]
    type = ParsedFunction
    value = '-4 * x^2 + 1'
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  csv = true
  console = true
  [./out]
    type = Exodus
  [../]
[]
[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]
(modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_no_parts_steady_stabilized_second_order.i)
[GlobalParams]
  order = SECOND
  integrate_p_by_parts = false
[]
[Mesh]
  file = '2d_cone.msh'
[]
[Problem]
  coord_type = RZ
[]
[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]
    order = FIRST
  [../]
[]
# Need to set a non-zero initial condition because we have a velocity norm in
# the denominator for the tau coefficient of the stabilization term
[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_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
  [../]
  [momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
[]
[BCs]
  [p_corner]
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  []
  [inlet]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom'
    function_x = 0
    function_y = 'inlet_func'
  [../]
  [wall]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'right'
    function_x = 0
    function_y = 0
  []
  [axis]
    type = ADVectorFunctionDirichletBC
    variable = velocity
    boundary = 'left'
    set_y_comp = false
    function_x = 0
  []
[]
[Functions]
  [./inlet_func]
    type = ParsedFunction
    value = '-4 * x^2 + 1'
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  csv = true
  console = true
  [./out]
    type = Exodus
  [../]
[]
[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]
(modules/navier_stokes/test/tests/ins/boussinesq/boussinesq_stabilized.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = .05
    ymax = .05
    nx = 20
    ny = 20
    elem_type = QUAD9
  []
  [./bottom_left]
    type = ExtraNodesetGenerator
    new_boundary = corner
    coord = '0 0'
    input = gen
  [../]
[]
[Preconditioning]
  [./Newton_SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  nl_rel_tol = 1e-12
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -ksp_gmres_restart'
  petsc_options_value = 'bjacobi  lu           NONZERO                   200'
[]
[Debug]
  show_var_residual_norms = true
[]
[Outputs]
  [out]
    type = Exodus
    execute_on = 'final'
  []
[]
[Variables]
  [velocity]
    family = LAGRANGE_VEC
  []
  [p][]
  [temp]
    initial_condition = 340
    scaling = 1e-4
  []
[]
[ICs]
  [velocity]
    type = VectorConstantIC
    x_value = 1e-15
    y_value = 1e-15
    variable = velocity
  []
[]
[BCs]
  [./velocity_dirichlet]
    type = VectorDirichletBC
    boundary = 'left right bottom top'
    variable = velocity
    # The third entry is to satisfy RealVectorValue
    values = '0 0 0'
  [../]
  # Even though we are integrating by parts, because there are no integrated
  # boundary conditions on the velocity p doesn't appear in the system of
  # equations. Thus we must pin the pressure somewhere in order to ensure a
  # unique solution
  [./p_zero]
    type = DirichletBC
    boundary = corner
    variable = p
    value = 0
  [../]
  [./cold]
    type = DirichletBC
    variable = temp
    boundary = left
    value = 300
  [../]
  [./hot]
    type = DirichletBC
    variable = temp
    boundary = right
    value = 400
  [../]
[]
[Kernels]
  [./mass]
    type = INSADMass
    variable = p
  [../]
  [mass_pspg]
    type = INSADMassPSPG
    variable = p
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [momentum_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
    integrate_p_by_parts = true
  []
  [./buoyancy]
    type = INSADBoussinesqBodyForce
    variable = velocity
    temperature = temp
    gravity = '0 -9.81 0'
  [../]
  [./gravity]
    type = INSADGravityForce
    variable = velocity
    gravity = '0 -9.81 0'
  [../]
  [supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
  [temp_advection]
    type = INSADEnergyAdvection
    variable = temp
  []
  [temp_conduction]
    type = ADHeatConduction
    variable = temp
    thermal_conductivity = 'k'
  [../]
  [temp_supg]
    type = INSADEnergySUPG
    variable = temp
    velocity = velocity
  []
[]
[Materials]
  [./ad_const]
    type = ADGenericConstantMaterial
    # alpha = coefficient of thermal expansion where rho  = rho0 -alpha * rho0 * delta T
    prop_names =  'mu        rho   alpha   k        cp'
    prop_values = '30.74e-6  .5757 2.9e-3  46.38e-3 1054'
  [../]
  [./const]
    type = GenericConstantMaterial
    prop_names =  'temp_ref'
    prop_values = '900'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temp
  []
[]
(modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_stab_jac_test.i)
[GlobalParams]
  order = SECOND
  integrate_p_by_parts = true
[]
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
    xmin = 0
    xmax = 1.1
    ymin = -1.1
    ymax = 1.1
    elem_type = QUAD9
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Problem]
  coord_type = RZ
[]
[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = NEWTON
  [../]
[]
[Executioner]
  type = Transient
  num_steps = 1
  dt = 1.1
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
    order = FIRST
  [../]
[]
# Need to set a non-zero initial condition because we have a velocity norm in
# the denominator for the tau coefficient of the stabilization term
[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_time]
    type = INSADMomentumTimeDerivative
    variable = velocity
  []
  [momentum_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
  [../]
  [momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
[]
[BCs]
  [inlet]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom'
    function_x = 0
    function_y = 1
  [../]
  [wall]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'right'
    function_x = 0
    function_y = 0
  []
  [axis]
    type = ADVectorFunctionDirichletBC
    variable = velocity
    boundary = 'left'
    set_y_comp = false
    function_x = 0
  []
  [outlet]
    type = INSADMomentumNoBCBC
    variable = velocity
    p = p
    boundary = 'top'
  []
  # When the NoBCBC is applied on the outlet boundary then there is nothing
  # constraining the pressure. Thus we must pin the pressure somewhere to ensure
  # that the problem is not singular. If the below BC is not applied then
  # -pc_type svd -pc_svd_monitor reveals a singular value
  [p_corner]
    type = DirichletBC
    boundary = pinned_node
    value = 0
    variable = p
  []
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1.1 1.1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
(modules/navier_stokes/test/tests/ins/coupled-force/gravity-object.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [u]
    family = LAGRANGE_VEC
  []
[]
[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_coupled_force]
    type = INSADMomentumCoupledForce
    variable = velocity
    coupled_vector_var = u
  []
  [gravity]
    type = INSADGravityForce
    variable = velocity
    gravity = '0 -9.81 0'
  []
  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
  [u_diff]
    type = VectorDiffusion
    variable = u
  []
[]
[BCs]
  [./no_slip]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom right left top'
  [../]
  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
  [u_left]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'left'
    function_x = 1
    function_y = 1
  []
  [u_right]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'right'
    function_x = -1
    function_y = -1
  []
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(test/tests/ics/vector_constant_ic/vector_constant_ic.i)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
[]
[Problem]
  solve = false
  kernel_coverage_check = false
[]
[Variables]
  [./A]
    family = LAGRANGE_VEC
    order = FIRST
  [../]
[]
[ICs]
  [./A]
    type = VectorConstantIC
    variable = A
    x_value = 2
    y_value = 3
    z_value = 4
  [../]
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]
[Outputs]
  exodus = true
[]
(test/tests/kernels/transient_vector_diffusion/transient_vector_diffusion.i)
[Mesh]
  [./generator]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  [../]
  [./block1]
    type = SubdomainBoundingBoxGenerator
    input = generator
    bottom_left = '0 0 -1'
    top_right = '1 1 1'
    block_id = 1
  [../]
  [./block2]
    type = SubdomainBoundingBoxGenerator
    input = block1
    bottom_left = '0.33 0.33 -1'
    top_right = '0.67 0.67 1'
    block_id = 2
  [../]
[]
[Variables]
  [./u]
    family = LAGRANGE_VEC
  [../]
[]
[ICs]
  [./u]
    type = VectorConstantIC
    variable = u
    x_value = 1
    y_value = 2
    z_value = 3
    block = 2
  [../]
[]
[Kernels]
  [./diff]
    type = VectorDiffusion
    variable = u
  [../]
  [./time]
    type = VectorTimeDerivative
    variable = u
  [../]
[]
[Executioner]
  type = Transient
  num_steps = 20
  dt = 0.01
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
  exodus = true
[]
(modules/navier_stokes/test/tests/ins/lid_driven/mixed-transient-steady/mixed.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [temperature]
    [InitialCondition]
      type = ConstantIC
      value = 1.0
    []
  []
[]
[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_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
  [../]
  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
 [./temperature_advection]
   type = INSADEnergyAdvection
   variable = temperature
 [../]
 [./temperature_conduction]
   type = ADHeatConduction
   variable = temperature
   thermal_conductivity = 'k'
 [../]
  [temperature_supg]
    type = INSADEnergySUPG
    variable = temperature
    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
  [../]
  [./temperature_hot]
    type = DirichletBC
    variable = temperature
    boundary = 'bottom'
    value = 1
  [../]
  [./temperature_cold]
    type = DirichletBC
    variable = temperature
    boundary = 'top'
    value = 0
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temperature
  []
[]
[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)'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  # Run for 100+ timesteps to reach steady state.
  num_steps = 5
  dt = .5
  dtmin = .5
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(modules/navier_stokes/test/tests/ins/coupled-force/gravity-through-coupled-force.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [u]
    family = LAGRANGE_VEC
  []
[]
[AuxVariables]
  [gravity]
    family = LAGRANGE_VEC
  []
[]
[ICs]
  [velocity]
    type = VectorConstantIC
    x_value = 1e-15
    y_value = 1e-15
    variable = velocity
  []
  [gravity]
    type = VectorConstantIC
    x_value = '0'
    y_value = '-9.81'
    variable = gravity
  []
[]
[Kernels]
  inactive = 'momentum_coupled_forces_two_vars momentum_coupled_forces_two_funcs'
  [./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_coupled_forces_var_and_func]
    type = INSADMomentumCoupledForce
    variable = velocity
    coupled_vector_var = u
    vector_function = 'vector_gravity_func'
  []
  [momentum_coupled_forces_two_vars]
    type = INSADMomentumCoupledForce
    variable = velocity
    coupled_vector_var = 'u gravity'
  []
  [momentum_coupled_forces_two_funcs]
    type = INSADMomentumCoupledForce
    variable = velocity
    vector_function = 'vector_func vector_gravity_func'
  []
  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
  [u_diff]
    type = VectorDiffusion
    variable = u
  []
[]
[BCs]
  [./no_slip]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom right left top'
  [../]
  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
  [u_left]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'left'
    function_x = 1
    function_y = 1
  []
  [u_right]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'right'
    function_x = -1
    function_y = -1
  []
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  [out]
    type = Exodus
    hide = 'gravity'
  []
[]
[Functions]
  [vector_func]
    type = ParsedVectorFunction
    value_x = '-2*x + 1'
    value_y = '-2*x + 1'
  []
  [vector_gravity_func]
    type = ParsedVectorFunction
    value_x = '0'
    value_y = '-9.81'
  []
[]
(modules/navier_stokes/test/tests/ins/lid_driven/ad_lid_driven_stabilized_with_temp_transient.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [temperature]
    [InitialCondition]
      type = ConstantIC
      value = 1.0
    []
  []
[]
[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_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
  [../]
  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
 [./temperature_advection]
   type = INSADEnergyAdvection
   variable = temperature
 [../]
 [temperature_time]
   type = INSADHeatConductionTimeDerivative
   variable = temperature
 []
 [./temperature_conduction]
   type = ADHeatConduction
   variable = temperature
   thermal_conductivity = 'k'
 [../]
  [temperature_supg]
    type = INSADEnergySUPG
    variable = temperature
    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
  [../]
  [./temperature_hot]
    type = DirichletBC
    variable = temperature
    boundary = 'bottom'
    value = 1
  [../]
  [./temperature_cold]
    type = DirichletBC
    variable = temperature
    boundary = 'top'
    value = 0
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
  [ins_mat]
    type = INSADStabilized3Eqn
    velocity = velocity
    pressure = p
    temperature = temperature
  []
[]
[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)'
  [../]
[]
[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  # Run for 100+ timesteps to reach steady state.
  num_steps = 5
  dt = .5
  dtmin = .5
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol =  1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
(modules/navier_stokes/test/tests/ins/coupled-force/steady-function.i)
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]
[Variables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
  [./p]
  [../]
  [u]
    family = LAGRANGE_VEC
  []
[]
[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_coupled_force]
    type = INSADMomentumCoupledForce
    variable = velocity
    vector_function = 'vector_func'
  []
  [./momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  [../]
  [u_diff]
    type = VectorDiffusion
    variable = u
  []
[]
[BCs]
  [./no_slip]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom right left top'
  [../]
  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
  [u_left]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'left'
    function_x = 1
    function_y = 1
  []
  [u_right]
    type = VectorFunctionDirichletBC
    variable = u
    boundary = 'right'
    function_x = -1
    function_y = -1
  []
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -sub_pc_factor_levels -ksp_gmres_restart'
  petsc_options_value = 'asm      6                     200'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  exodus = true
[]
[Functions]
  [vector_func]
    type = ParsedVectorFunction
    value_x = '-2*x + 1'
    value_y = '-2*x + 1'
  []
[]
(modules/navier_stokes/test/tests/ins/RZ_cone/ad_rz_cone_by_parts_traction_steady_stabilized.i)
[GlobalParams]
  order = FIRST
  integrate_p_by_parts = true
  viscous_form = 'traction'
[]
[Mesh]
  file = '2d_cone.msh'
[]
[Problem]
  coord_type = RZ
[]
[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]
  [../]
[]
# Need to set a non-zero initial condition because we have a velocity norm in
# the denominator for the tau coefficient of the stabilization term
[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_advection]
    type = INSADMomentumAdvection
    variable = velocity
  []
  [./momentum_viscous]
    type = INSADMomentumViscous
    variable = velocity
  [../]
  [./momentum_pressure]
    type = INSADMomentumPressure
    variable = velocity
    p = p
  [../]
  [momentum_supg]
    type = INSADMomentumSUPG
    variable = velocity
    velocity = velocity
  []
[]
[BCs]
  [inlet]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'bottom'
    function_x = 0
    function_y = 'inlet_func'
  [../]
  [wall]
    type = VectorFunctionDirichletBC
    variable = velocity
    boundary = 'right'
    function_x = 0
    function_y = 0
  []
  [axis]
    type = ADVectorFunctionDirichletBC
    variable = velocity
    boundary = 'left'
    set_y_comp = false
    function_x = 0
  []
[]
[Functions]
  [./inlet_func]
    type = ParsedFunction
    value = '-4 * x^2 + 1'
  [../]
[]
[Materials]
  [./const]
    type = ADGenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
  [ins_mat]
    type = INSADTauMaterial
    velocity = velocity
    pressure = p
  []
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]
[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'
  nl_rel_tol = 1e-12
  nl_max_its = 6
[]
[Outputs]
  csv = true
  console = true
  [./out]
    type = Exodus
  [../]
[]
[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]