RenameBlockGenerator

new_block

C++ Type:std::vector<SubdomainName>

Controllable:No

Description:The new block ID(s)/name(s) to be given by the elements defined in 'old_block'.

new_block

C++ Type:std::vector<SubdomainName>

Controllable:No

Description:The new block ID(s)/name(s) to be given by the elements defined in 'old_block'.

new_block

C++ Type:std::vector<SubdomainName>

Controllable:No

Description:The new block ID(s)/name(s) to be given by the elements defined in 'old_block'.

new_block

C++ Type:std::vector<SubdomainName>

Controllable:No

Description:The new block ID(s)/name(s) to be given by the elements defined in 'old_block'.

new_block

C++ Type:std::vector<SubdomainName>

Controllable:No

Description:The new block ID(s)/name(s) to be given by the elements defined in 'old_block'.

new_block

C++ Type:std::vector<SubdomainName>

Controllable:No

Description:The new block ID(s)/name(s) to be given by the elements defined in 'old_block'.

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/finite_action.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e6
  []
[]

[MortarGapHeatTransfer]
  [mortar_heat_transfer]
   temperature = temp
   use_displaced_mesh = true
   gap_flux_options = conduction
   gap_conductivity = 1
   boundary = plank_right
   primary_boundary = plank_right
   primary_subdomain = frictionless_primary_subdomain
   secondary_boundary = block_left
   secondary_subdomain = frictionless_secondary_subdomain
   thermal_lm_scaling = 1e-7
   gap_geometry_type = PLATE
  []
[]

[BCs]
  [left_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/multiapp_fracture_flow/fracture_diffusion/no_multiapp.i)

# A fracture, which is a 1D line of elements, is embedded in a matrix, which is a 2D surface of elements.
# The meshes conform: all fracture nodes are also matrix nodes (the fracture elements are sides of matrix elements).
# The overall mesh has two blocks, named "matrix" and "fracture".
#
# Two variables are defined:
# - frac_T, which is the temperature inside the fracture;
# - matrix_T, which is the temperature in the matrix.
# frac_T is governed by a diffusion equation along the 1D fracture.
# matrix_T is governed by a diffusion equation in the 2D matrix, with small diffusion coefficient.
# Heat is exchanged between the two systems via a heat-transfer coefficient, defined on the fracture subdomain, using two PorousFlowHeatMassTransfer Kernels
#
# If the mesh is too coarse, overshoots and undershoots in matrix_T can be observed.
[Mesh]
  [generate]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    xmin = 0
    xmax = 10.0
    ny = 20 # anything less than this produces over/under-shoots
    ymin = -2
    ymax = 2
  []
  [matrix_subdomain]
    type = RenameBlockGenerator
    input = generate
    old_block = 0
    new_block = matrix
  []
  [fracture_sideset]
    type = ParsedGenerateSideset
    input = matrix_subdomain
    combinatorial_geometry = 'y>-1E-6 & y<1E-6'
    normal = '0 1 0'
    new_sideset_name = fracture_sideset
  []
  [fracture_subdomain]
    type = LowerDBlockFromSidesetGenerator
    input = fracture_sideset
    new_block_id = 1
    new_block_name = fracture
    sidesets = fracture_sideset
  []
[]

[Variables]
  [frac_T]
    block = fracture
  []
  [matrix_T]
    # Needs to be defined on both blocks, so PorousFlowHeatMassTransfer works appropriately
    # Kernels for diffusion are on block=matrix only
  []
[]

[BCs]
  [frac_T]
    type = DirichletBC
    variable = frac_T
    boundary = left
    value = 1
  []
[]

[Kernels]
  [dot_frac_T]
    type = CoefTimeDerivative
    Coefficient = 1E-2
    variable = frac_T
    block = fracture
  []
  [fracture_diffusion]
    type = AnisotropicDiffusion
    variable = frac_T
    tensor_coeff = '1E-2 0 0 0 1E-2 0 0 0 1E-2'
    block = fracture
  []
  [toMatrix]
    type = PorousFlowHeatMassTransfer
    block = fracture
    variable = frac_T
    v = matrix_T
    transfer_coefficient = 0.02
  []
  [dot_matrix_T]
    type = TimeDerivative
    variable = matrix_T
    block = matrix
  []
  [matrix_diffusion]
    type = AnisotropicDiffusion
    variable = matrix_T
    tensor_coeff = '1E-3 0 0 0 1E-3 0 0 0 1E-3'
    block = matrix
  []
  [fromFracture]
    type = PorousFlowHeatMassTransfer
    block = fracture
    variable = matrix_T
    v = frac_T
    transfer_coefficient = 0.02
  []
[]

[Preconditioning]
  [entire_jacobian]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  dt = 100
  end_time = 100
[]

[VectorPostprocessors]
  [frac_T]
    type = NodalValueSampler
    block = fracture
    outputs = frac_T
    sort_by = x
    variable = frac_T
  []
[]

[Outputs]
  print_linear_residuals = false
  exodus = false
  [frac_T]
    type = CSV
    execute_on = FINAL
  []
[]

(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_and_counterpump_loop.i)

mu = 1.0
rho = 1.0

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.1 0.8 0.1'
    dy = '0.1 0.8 0.1'
    ix = '5 20 5'
    iy = '5 20 5'
    subdomain_id = '1 1 1
                    1 2 1
                    1 1 1'
  []
  [delete_internal_part]
    type = BlockDeletionGenerator
    input = gen
    block = '2'
    new_boundary = 'wall-internal'
  []
  [lump_bdries_to_wall]
    type = RenameBoundaryGenerator
    input = delete_internal_part
    old_boundary = 'bottom right top left'
    new_boundary = 'wall-external wall-external wall-external wall-external'
  []
  [pump_1_domain]
    type = ParsedSubdomainMeshGenerator
    input = lump_bdries_to_wall
    combinatorial_geometry = 'x > 0.3 & x < 0.4 & y > 0.5'
    block_id = '3'
  []
  [pump_2_domain]
    type = ParsedSubdomainMeshGenerator
    input = pump_1_domain
    combinatorial_geometry = 'x > 0.5 & y > 0.3 & y < 0.4'
    block_id = '4'
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = pump_2_domain
    old_block = '1 3 4'
    new_block = 'pipe pump_1 pump_2'
  []
  [side_pump]
    type = ParsedGenerateSideset
    input = rename_blocks
    included_subdomains = 'pump_1'
    included_neighbors = 'pipe'
    new_sideset_name = 'pump_side'
    normal = '1 0 0'
    combinatorial_geometry = 'x > 0.35'
  []
[]

[GlobalParams]
  velocity_interp_method = 'rc'
  advected_interp_method = 'upwind'
  rhie_chow_user_object = 'rc'
[]

[Problem]
  material_coverage_check = False
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
    correct_volumetric_force = true
    volumetric_force_functors = 'pump_volume_force_1 pump_volume_force_2'
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [lambda]
    family = SCALAR
    order = FIRST
  []
[]

[AuxVariables]
  [U]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[AuxKernels]
  [mag]
    type = VectorMagnitudeAux
    variable = U
    x = vel_x
    y = vel_y
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    rho = ${rho}
  []
  [mean_zero_pressure]
    type = FVIntegralValueConstraint
    variable = pressure
    lambda = lambda
    phi0 = 0.0
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []
  [u_pump_1]
    type = INSFVPump
    variable = vel_x
    momentum_component = 'x'
    pump_volume_force = 'pump_volume_force_1'
    block = 'pump_1'
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
  [u_pump_2]
    type = INSFVPump
    variable = vel_y
    momentum_component = 'y'
    pump_volume_force = 'pump_volume_force_2'
    block = 'pump_2'
  []
[]

[FVBCs]
  [walls-u]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_x
    function = '0'
  []
  [walls-v]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_y
    function = '0'
  []
[]

[Functions]
  [pump_head]
    type = PiecewiseLinear
    x = '0.0 10.0'
    y = '1000.0 0.0'
  []
[]

[FunctorMaterials]
  [pump_mat_1]
    type = NSFVPumpFunctorMaterial
    rho = ${rho}
    speed = 'U'
    pressure_head_function = 'pump_head'
    rotation_speed = 120
    rotation_speed_rated = 100
    area_rated = 0.1
    volume_rated = 0.01
    flow_rate_rated = 1.0
    flow_rate = 'flow_rate'
    block = 'pump_1'
    pump_force_name = 'pump_volume_force_1'
  []
  [pump_mat_2]
    type = NSFVPumpFunctorMaterial
    rho = ${rho}
    speed = 'U'
    pressure_head_function = 'pump_head'
    rotation_speed = 50
    rotation_speed_rated = 100
    area_rated = 0.1
    volume_rated = 0.01
    flow_rate_rated = 1.0
    flow_rate = 'flow_rate'
    block = 'pump_2'
    pump_force_name = 'pump_volume_force_2'
  []
[]

[Postprocessors]
  [flow_rate]
    type = Receiver
    default = 1.0
  []
  [flow_rate_to_pipe]
    type = VolumetricFlowRate
    advected_quantity = ${rho}
    boundary = 'pump_side'
    vel_x = 'vel_x'
    vel_y = 'vel_y'
  []
  [maximum_speed]
    type = ADElementExtremeFunctorValue
    functor = vel_x
    value_type = max
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = false
  [out]
    type = CSV
    execute_on = FINAL
    show = 'flow_rate_to_pipe maximum_speed'
  []
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.1
    displacements = 'disp_x disp_y disp_z'
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    newmark_gamma = 0.5
    newmark_beta = 0.25
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-14'
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  line_search = 'basic'
  [TimeIntegrator]
    type = NewmarkBeta
    gamma = 0.5
    beta = 0.25
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/porous_flow/examples/tutorial/10.i)

# Unsaturated Darcy-Richards flow without using an Action
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    input = annular
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = pp
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 1E-6
    m = 0.6
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [pp]
  []
[]

[Kernels]
  [time_derivative]
    type = PorousFlowMassTimeDerivative
    variable = pp
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    variable = pp
    gravity = '0 0 0'
  []
[]

[AuxVariables]
  [sat]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [saturation]
    type = PorousFlowPropertyAux
    variable = sat
    property = saturation
  []
[]

[BCs]
  [production]
    type = PorousFlowSink
    variable = pp
    fluid_phase = 0
    flux_function = 1E-2
    use_relperm = true
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []
  [saturation_calculator]
    type = PorousFlow1PhaseP
    porepressure = pp
    capillary_pressure = pc
  []
  [temperature]
    type = PorousFlowTemperature
    temperature = 293
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = the_simple_fluid
    phase = 0
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 3
    s_res = 0.1
    sum_s_res = 0.1
    phase = 0
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_rel_tol = 1E-12
  nl_abs_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/interface_heating_mortar/constraint_joule_heating_dual_material.i)

## Units in the input file: m-Pa-s-K-V

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmax = 0.1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmin = 0.1
    xmax = 0.2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Variables]
  [temperature]
    initial_condition = 300.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
  [potential]
  []
  [potential_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 1.0
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'right_block'
  []
  [electric_steel]
    type = ADMatDiffusion
    variable = potential
    diffusivity = steel_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block'
  []
  [electric_aluminum]
    type = ADMatDiffusion
    variable = potential
    diffusivity = aluminum_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'fixed_block_right'
  []

  [electric_left]
    type = ADDirichletBC
    variable = potential
    value = 0.0
    boundary = moving_block_left
  []
  [electric_right]
    type = ADDirichletBC
    variable = potential
    value = 3.0e-1
    boundary = fixed_block_right
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_temperature'
  []
  [electrical_contact]
    type = ModularGapConductanceConstraint
    variable = potential_interface_lm
    secondary_variable = potential
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_electric'
  []
  [interface_heating]
    type = ADInterfaceJouleHeatingConstraint
    potential_lagrange_multiplier = potential_interface_lm
    secondary_variable = temperature
    primary_electrical_conductivity = steel_electrical_conductivity
    secondary_electrical_conductivity = aluminum_electrical_conductivity
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
  []
[]

[Materials]
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_electrical_conductivity         steel_hardness'
    prop_values = '8e3            16.2                        500.0              1.39e6      1.0' ## for stainless steel 304
    block = 'left_block interface_secondary_subdomain'
  []

  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_electrical_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                           900.0                   3.7e7                           1.0' #for 99% pure Al
    block = 'left_block right_block interface_secondary_subdomain'
  []
[]

[UserObjects]
  [closed_temperature]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
  [closed_electric]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_electrical_conductivity
    secondary_conductivity = aluminum_electrical_conductivity
    temperature = potential
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_primary_subdomain
  []
  [aluminum_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []

  [interface_electrical_flux]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = fixed_block_left
    diffusivity = aluminum_electrical_conductivity
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-6
  nl_max_its = 100
  nl_forced_its = 1
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/navier_stokes/test/tests/finite_volume/pins/block-restriction/segregated/empty-block-segregated.i)

mu = 1.2
rho_fluid = 0.2
k_fluid = 1.1
cp_fluid = 2.3
T_cold = 310
alpha = 1e-3
Q = 200

pressure_tag = "pressure_grad"

[Problem]
  kernel_coverage_check = false
[]

[GlobalParams]
  rhie_chow_user_object = 'rc'
  velocity_interp_method = 'rc'
  advected_interp_method = 'average'
[]

[Mesh]
  [cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.3683 0.0127'
    dy = '0.0127 0.2292 2.5146 0.2292 0.0127'
    ix = '2 1'
    iy = '1 2 3 2 1'
    subdomain_id = '0 0
                    1 0
                    2 0
                    1 0
                    0 0
                    '
  []

  [rename_block_name]
    type = RenameBlockGenerator
    input = cmg
    old_block = '0 1 2'
    new_block = 'wall_block spacer_block porous_block'
  []

  [solid_fluid_interface_1]
    type = SideSetsBetweenSubdomainsGenerator
    input = rename_block_name
    primary_block = porous_block
    paired_block = wall_block
    new_boundary = 'solid_fluid_interface'
  []

  [solid_fluid_interface_2]
    type = SideSetsBetweenSubdomainsGenerator
    input = solid_fluid_interface_1
    primary_block = spacer_block
    paired_block = wall_block
    new_boundary = 'solid_fluid_interface'
  []

  [wall_left_boundary_1]
    type = SideSetsFromBoundingBoxGenerator
    input = solid_fluid_interface_2
    bottom_left = '0 0 0'
    top_right = '0.1 0.0127 0'
    included_boundaries = left
    boundary_new = wall_left
  []

  [wall_left_boundary_2]
    type = SideSetsFromBoundingBoxGenerator
    input = wall_left_boundary_1
    bottom_left = '0 2.9857 0'
    top_right = '0.1 2.9984 0'
    included_boundaries = left
    boundary_new = wall_left
  []

  [fluid_left_boundary]
    type = SideSetsFromBoundingBoxGenerator
    input = wall_left_boundary_2
    bottom_left = '0 0.0127 0'
    top_right = '0.1 2.9857 0'
    included_boundaries = left
    boundary_new = fluid_left
  []

  coord_type = RZ
  rz_coord_axis = Y
[]

[UserObjects]
  [rc]
    type = PINSFVRhieChowInterpolatorSegregated
    u = superficial_vel_x
    v = superficial_vel_y
    pressure = pressure
    porosity = porosity
    block = 'spacer_block porous_block'
  []
[]

[Problem]
  nl_sys_names = 'u_system v_system pressure_system t_system'
  previous_nl_solution_required = true
  error_on_jacobian_nonzero_reallocation = true
[]

[Variables]
  [superficial_vel_x]
    type = PINSFVSuperficialVelocityVariable
    block = 'spacer_block porous_block'
    solver_sys = u_system
  []

  [superficial_vel_y]
    type = PINSFVSuperficialVelocityVariable
    block = 'spacer_block porous_block'
    solver_sys = v_system
  []

  [pressure]
    type = INSFVPressureVariable
    block = 'spacer_block porous_block'
    solver_sys = pressure_system
  []

  [T_fluid]
    type = INSFVEnergyVariable
    block = 'spacer_block porous_block'
    solver_sys = t_system
  []
[]

[AuxVariables]
  [porosity]
    type = MooseVariableFVReal
    block = 'spacer_block porous_block'
  []
[]

[FVKernels]
  [u_advection]
    type = PINSFVMomentumAdvection
    variable = superficial_vel_x
    rho = ${rho_fluid}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_viscosity]
    type = PINSFVMomentumDiffusion
    variable = superficial_vel_x
    mu = ${mu}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_pressure]
    type = PINSFVMomentumPressure
    variable = superficial_vel_x
    momentum_component = 'x'
    pressure = pressure
    block = 'spacer_block porous_block'
    porosity = porosity
    extra_vector_tags = ${pressure_tag}
  []

  [u_buoyancy]
    type = PINSFVMomentumBoussinesq
    variable = superficial_vel_x
    T_fluid = T_fluid
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    ref_temperature = ${T_cold}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_gravity]
    type = PINSFVMomentumGravity
    variable = superficial_vel_x
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_advection]
    type = PINSFVMomentumAdvection
    variable = superficial_vel_y
    rho = ${rho_fluid}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_viscosity]
    type = PINSFVMomentumDiffusion
    variable = superficial_vel_y
    mu = ${mu}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_pressure]
    type = PINSFVMomentumPressure
    variable = superficial_vel_y
    momentum_component = 'y'
    pressure = pressure
    block = 'spacer_block porous_block'
    porosity = porosity
    extra_vector_tags = ${pressure_tag}
  []

  [v_buoyancy]
    type = PINSFVMomentumBoussinesq
    variable = superficial_vel_y
    T_fluid = T_fluid
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    ref_temperature = ${T_cold}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_gravity]
    type = PINSFVMomentumGravity
    variable = superficial_vel_y
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [temp_conduction]
    type = PINSFVEnergyDiffusion
    k = 'k_fluid'
    variable = T_fluid
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [temp_advection]
    type = PINSFVEnergyAdvection
    variable = T_fluid
    block = 'spacer_block porous_block'
    boundaries_to_force = fluid_left
  []

  [heat_source]
    type = FVBodyForce
    variable = T_fluid
    function = ${Q}
    block = 'porous_block'
  []

  [p_diffusion]
    type = FVAnisotropicDiffusion
    variable = pressure
    coeff = "Ainv"
    coeff_interp_method = 'average'
    block = 'spacer_block porous_block'
  []
  [p_source]
    type = FVDivergence
    variable = pressure
    vector_field = "HbyA"
    force_boundary_execution = true
    block = 'spacer_block porous_block'
  []
[]

[FVBCs]
  [no_slip_x]
    type = INSFVNoSlipWallBC
    variable = superficial_vel_x
    boundary = 'solid_fluid_interface'
    function = 0
  []

  [no_slip_y]
    type = INSFVNoSlipWallBC
    variable = superficial_vel_y
    boundary = 'solid_fluid_interface'
    function = 0
  []

  [reflective_x]
    type = INSFVSymmetryVelocityBC
    variable = superficial_vel_x
    boundary = fluid_left
    momentum_component = 'x'
    mu = ${mu}
    u = superficial_vel_x
    v = superficial_vel_y
  []

  [reflective_y]
    type = INSFVSymmetryVelocityBC
    variable = superficial_vel_y
    boundary = fluid_left
    momentum_component = 'y'
    mu = ${mu}
    u = superficial_vel_x
    v = superficial_vel_y
  []

  [reflective_p]
    type = INSFVSymmetryPressureBC
    boundary = fluid_left
    variable = pressure
  []

  [T_reflective]
    type = FVNeumannBC
    variable = T_fluid
    boundary = fluid_left
    value = 0
  []

  [T_cold_boundary]
    type = FVDirichletBC
    variable = T_fluid
    boundary = solid_fluid_interface
    value = ${T_cold}
  []
[]

[ICs]
  [porosity_spacer]
    type = ConstantIC
    variable = porosity
    block = spacer_block
    value = 1.0
  []

  [porosity_fuel]
    type = ConstantIC
    variable = porosity
    block = porous_block
    value = 0.1
  []

  [temp_ic_fluid]
    type = ConstantIC
    variable = T_fluid
    value = ${T_cold}
    block = 'spacer_block porous_block'
  []

  [superficial_vel_x]
    type = ConstantIC
    variable = superficial_vel_x
    value = 1E-5
    block = 'spacer_block porous_block'
  []

  [superficial_vel_y]
    type = ConstantIC
    variable = superficial_vel_y
    value = 1E-5
    block = 'spacer_block porous_block'
  []
[]

[FunctorMaterials]
  [functor_constants_fluid]
    type = ADGenericFunctorMaterial
    prop_names = 'alpha_b cp k_fluid'
    prop_values = '${alpha} ${cp_fluid} ${k_fluid}'
    block = 'spacer_block porous_block'
  []

  [density_fluid]
    type = INSFVEnthalpyFunctorMaterial
    temperature = 'T_fluid'
    rho = ${rho_fluid}
    block = 'spacer_block porous_block'
  []

  [functor_constants_steel]
    # We need this to avoid errors for materials not existing on every block
    type = ADGenericFunctorMaterial
    prop_names = 'dummy'
    prop_values = 0.0
    block = wall_block
  []
[]

[Executioner]
  type = SIMPLENonlinearAssembly
  momentum_l_abs_tol = 1e-14
  pressure_l_abs_tol = 1e-14
  energy_l_abs_tol = 1e-14
  momentum_l_tol = 0
  pressure_l_tol = 0
  energy_l_tol = 0
  rhie_chow_user_object = 'rc'
  momentum_systems = 'u_system v_system'
  pressure_system = 'pressure_system'
  energy_system = 't_system'
  pressure_gradient_tag = ${pressure_tag}
  momentum_equation_relaxation = 0.85
  energy_equation_relaxation = 0.95
  pressure_variable_relaxation = 0.45
  num_iterations = 150
  pressure_absolute_tolerance = 1e-13
  momentum_absolute_tolerance = 1e-13
  pin_pressure = true
  pressure_pin_point = '0.2 1.5 0.0'
  pressure_pin_value = 0
  print_fields = false
  continue_on_max_its = true
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/2drz/ad_frictionless_first/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    use_automatic_differentiation = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    use_automatic_differentiation = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []
  [swell]
    type = ADComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = ADGenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 10
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/coord_type/coord_type_rz_general.i)

# Tests using different coordinate systems in different blocks:
#   block1: XYZ translated by (0,-1,0)
#   block2: RZ with origin=(0,0,0) and direction=(0,1,0)
#   block3: RZ with origin=(0,0,1) and direction=(1,0,0)
#   block4: RZ with origin=(-1,-2,-3) and direction=(1,1,0)
#
# A transient heat conduction equation is solved with uniform properties.
# The same power is applied to each block via a uniform heat flux boundary
# condition on the outer cylindrical surface (top surface for block1).
# Conservation is checked for each via post-processors.
# Blocks block2, block3, and block4 should have identical solutions.

rho = 1000.0
cp = 500.0
k = 15.0

length = 1.5
radius = 0.5

perimeter = ${fparse 2 * pi * radius}

nz = 10
nr = 5

power = 1e3
heat_flux = ${fparse power / (perimeter * length)}

[Mesh]
  # block1
  [genmesh1]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${nz}
    ny = ${nr}
    xmin = 0.0
    xmax = ${length}
    ymin = -1.0
    ymax = ${fparse -1.0 + radius}
    boundary_id_offset = 10
  []
  [renumberblock1]
    type = RenameBlockGenerator
    input = genmesh1
    old_block = 0
    new_block = 1
  []
  [renameblock1]
    type = RenameBlockGenerator
    input = renumberblock1
    old_block = 1
    new_block = block1
  []
  [renameboundary1]
    type = RenameBoundaryGenerator
    input = renameblock1
    old_boundary = '10 11 12 13'
    new_boundary = 'bottom1 right1 top1 left1'
  []

  # block2
  [genmesh2]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${nr}
    ny = ${nz}
    xmin = 0.0
    xmax = ${radius}
    ymin = 0
    ymax = ${length}
    boundary_id_offset = 20
  []
  [renumberblock2]
    type = RenameBlockGenerator
    input = genmesh2
    old_block = 0
    new_block = 2
  []
  [renameblock2]
    type = RenameBlockGenerator
    input = renumberblock2
    old_block = 2
    new_block = block2
  []
  [renameboundary2]
    type = RenameBoundaryGenerator
    input = renameblock2
    old_boundary = '20 21 22 23'
    new_boundary = 'bottom2 right2 top2 left2'
  []

  # block3
  [genmesh3]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${nz}
    ny = ${nr}
    xmin = 0.0
    xmax = ${length}
    ymin = 0
    ymax = ${radius}
    boundary_id_offset = 30
  []
  [translate3]
    type = TransformGenerator
    input = genmesh3
    transform = TRANSLATE
    vector_value = '0 0 1'
  []
  [renumberblock3]
    type = RenameBlockGenerator
    input = translate3
    old_block = 0
    new_block = 3
  []
  [renameblock3]
    type = RenameBlockGenerator
    input = renumberblock3
    old_block = 3
    new_block = block3
  []
  [renameboundary3]
    type = RenameBoundaryGenerator
    input = renameblock3
    old_boundary = '30 31 32 33'
    new_boundary = 'bottom3 right3 top3 left3'
  []

  # block4
  [genmesh4]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${nz}
    ny = ${nr}
    xmin = 0.0
    xmax = ${length}
    ymin = 0
    ymax = ${radius}
    boundary_id_offset = 40
  []
  [rotate4]
    type = TransformGenerator
    input = genmesh4
    transform = ROTATE
    vector_value = '45 0 0'
  []
  [translate4]
    type = TransformGenerator
    input = rotate4
    transform = TRANSLATE
    vector_value = '-1 -2 -3'
  []
  [renumberblock4]
    type = RenameBlockGenerator
    input = translate4
    old_block = 0
    new_block = 4
  []
  [renameblock4]
    type = RenameBlockGenerator
    input = renumberblock4
    old_block = 4
    new_block = block4
  []
  [renameboundary4]
    type = RenameBoundaryGenerator
    input = renameblock4
    old_boundary = '40 41 42 43'
    new_boundary = 'bottom4 right4 top4 left4'
  []

  [combiner]
    type = CombinerGenerator
    inputs = 'renameboundary1 renameboundary2 renameboundary3 renameboundary4'
  []

  coord_block = 'block1 block2 block3 block4'
  coord_type = 'XYZ RZ RZ RZ'

  rz_coord_blocks = 'block2 block3 block4'
  rz_coord_origins = '0 0 0
                      0 0 1
                      -1 -2 -3'
  rz_coord_directions = '0 1 0
                         1 0 0
                         1 1 0'
[]

[Variables]
  [T]
    family = LAGRANGE
    order = FIRST
  []
[]

[Functions]
  [T_ic_fn]
    type = ParsedFunction
    expression = 'x'
  []
  [theoretical_energy_added_fn]
    type = ParsedFunction
    expression = '${power} * t'
  []
[]

[ICs]
  [T_ic]
    type = FunctionIC
    variable = T
    function = T_ic_fn
  []
[]

[Kernels]
  [time_derivative]
    type = ADTimeDerivative
    variable = T
  []
  [heat_conduction]
    type = CoefDiffusion
    variable = T
    coef = ${fparse k / (rho * cp)}
  []
[]

[BCs]
  [heat_flux_bc]
    type = ADFunctionNeumannBC
    variable = T
    boundary = 'top1 right2 top3 top4'
    # The heat conduction equation has been divided by rho*cp
    function = '${fparse heat_flux / (rho * cp)}'
  []
[]

[Postprocessors]
  [theoretical_energy_change]
    type = FunctionValuePostprocessor
    function = theoretical_energy_added_fn
    execute_on = 'INITIAL TIMESTEP_END'
  []

  # block1 conservation
  [T_integral1]
    type = ElementIntegralVariablePostprocessor
    variable = T
    block = 'block1'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy1]
    type = ParsedPostprocessor
    pp_names = 'T_integral1'
    expression = 'T_integral1 * ${rho} * ${cp} * ${perimeter}'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change1]
    type = ChangeOverTimePostprocessor
    postprocessor = energy1
    change_with_respect_to_initial = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change_error1]
    type = RelativeDifferencePostprocessor
    value1 = energy_change1
    value2 = theoretical_energy_change
    execute_on = 'INITIAL TIMESTEP_END'
  []

  # block2 conservation
  [T_integral2]
    type = ElementIntegralVariablePostprocessor
    variable = T
    block = 'block2'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy2]
    type = ParsedPostprocessor
    pp_names = 'T_integral2'
    expression = 'T_integral2 * ${rho} * ${cp}'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change2]
    type = ChangeOverTimePostprocessor
    postprocessor = energy2
    change_with_respect_to_initial = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change_error2]
    type = RelativeDifferencePostprocessor
    value1 = energy_change2
    value2 = theoretical_energy_change
    execute_on = 'INITIAL TIMESTEP_END'
  []

  # block3 conservation
  [T_integral3]
    type = ElementIntegralVariablePostprocessor
    variable = T
    block = 'block3'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy3]
    type = ParsedPostprocessor
    pp_names = 'T_integral3'
    expression = 'T_integral3 * ${rho} * ${cp}'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change3]
    type = ChangeOverTimePostprocessor
    postprocessor = energy3
    change_with_respect_to_initial = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change_error3]
    type = RelativeDifferencePostprocessor
    value1 = energy_change3
    value2 = theoretical_energy_change
    execute_on = 'INITIAL TIMESTEP_END'
  []

  # block4 conservation
  [T_integral4]
    type = ElementIntegralVariablePostprocessor
    variable = T
    block = 'block4'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy4]
    type = ParsedPostprocessor
    pp_names = 'T_integral4'
    expression = 'T_integral4 * ${rho} * ${cp}'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change4]
    type = ChangeOverTimePostprocessor
    postprocessor = energy4
    change_with_respect_to_initial = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [energy_change_error4]
    type = RelativeDifferencePostprocessor
    value1 = energy_change4
    value2 = theoretical_energy_change
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Preconditioning]
  [pc]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  scheme = bdf2
  dt = 1.0
  num_steps = 10
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-10
[]

[Outputs]
  file_base = 'coord_type_rz_general'
  [console]
    type = Console
    show = 'energy_change_error1 energy_change_error2 energy_change_error3 energy_change_error4'
  []
  [exodus]
    type = Exodus
    show = 'T energy_change_error1 energy_change_error2 energy_change_error3 energy_change_error4'
  []
[]

(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action_external_boundary_ray_tracing.i)

[Problem]
  kernel_coverage_check = false
[]

[Mesh]
  [cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 1.3 1.9'
    ix = '3 3 3'
    dy = '6'
    iy = '9'
    subdomain_id = '0 1 2'
  []

  [inner_left]
    type = SideSetsBetweenSubdomainsGenerator
    input = cmg
    primary_block = 0
    paired_block = 1
    new_boundary = 'inner_left'
  []

  [inner_right]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_left
    primary_block = 2
    paired_block = 1
    new_boundary = 'inner_right'
  []

  [inner_top]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'abs(y - 6) < 1e-10'
    normal = '0 1 0'
    included_subdomains = 1
    new_sideset_name = 'inner_top'
    input = 'inner_right'
  []

  [inner_bottom]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'abs(y) < 1e-10'
    normal = '0 -1 0'
    included_subdomains = 1
    new_sideset_name = 'inner_bottom'
    input = 'inner_top'
  []

  [rename]
    type = RenameBlockGenerator
    old_block = '2'
    new_block = '0'
    input = inner_bottom
  []
[]

[Variables]
  [temperature]
    block = 0
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 0
    diffusion_coefficient = 5
  []
[]

[GrayDiffuseRadiation]
  [cavity]
    boundary = '4 5 6 7'
    emissivity = '0.9 0.8 0.4 1'
    n_patches = '2 2 2 3'
    partitioners = 'centroid centroid centroid centroid'
    centroid_partitioner_directions = 'x y y x'
    temperature = temperature
    adiabatic_boundary = '7'
    fixed_temperature_boundary = '6'
    fixed_boundary_temperatures = '800'
    view_factor_calculator = ray_tracing
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = temperature
    boundary = left
    value = 1000
  []

  [right]
    type = DirichletBC
    variable = temperature
    boundary = right
    value = 300
  []
[]

[Postprocessors]
  [average_T_inner_right]
    type = SideAverageValue
    variable = temperature
    boundary = inner_right
  []
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictionless_fir/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/tutorial/03.i)

# Darcy flow with heat advection and conduction
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
  [temperature]
    initial_condition = 293
    scaling = 1E-8
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = ThermoHydro
  gravity = '0 0 0'
  fp = the_simple_fluid
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1E6
    boundary = injection_area
  []
  [constant_injection_temperature]
    type = DirichletBC
    variable = temperature
    value = 313
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
    thermal_expansion = 0.0002
    cp = 4194
    cv = 4186
    porepressure_coefficient = 0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2E-7
    fluid_bulk_modulus = 1E7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []

  [thermal_expansion]
    type = PorousFlowConstantThermalExpansionCoefficient
    biot_coefficient = 0.8
    drained_coefficient = 0.003
    fluid_coefficient = 0.0002
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 2500.0
    specific_heat_capacity = 1200.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '10 0 0  0 10 0  0 0 10'
    block = 'caps aquifer'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-10
[]

[Outputs]
  exodus = true
[]

(test/tests/meshgenerators/mesh_diagnostics_generator/node_based_test.i)

[Mesh]
  [copy1]
    type = ElementGenerator
    nodal_positions = '0 0 0
                       0 2 0
                       2 2 0
                       2 0 0'
    element_connectivity = '0 1 2 3'
    elem_type = 'QUAD4'
  []
  [gen]
    input = copy1
    type = RenameBlockGenerator
    old_block = "0"
    new_block = "1"
  []

  [copy2]
    type = ElementGenerator
    nodal_positions = '0 3 0
                       0 2 0
                       1 1 0
                       2 3 0'

    element_connectivity = '0 1 2 3'
    elem_type = 'QUAD4'
  []

  [cmbn]
    type = CombinerGenerator
    inputs = 'gen copy2'
  []

  [diag]
    type = MeshDiagnosticsGenerator
    input = cmbn
    examine_element_overlap = INFO
  []
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/electromagnetics/test/tests/interfacekernels/electrostatic_contact/analytic_solution_test_two_block.i)

# Regression test for ElectrostaticContactCondition with analytic solution with
# two blocks
#
# dim = 1D
# X = [0,2]
# Interface at X = 1
#
#   stainless_steel        graphite
# +------------------+------------------+
#
# Left BC: Potential = 1
# Right BC: Potential = 0
# Center Interface: ElectrostaticContactCondition
#

[Mesh]
  [line]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 4
    xmax = 2
  []
  [break]
    type = SubdomainBoundingBoxGenerator
    input = line
    block_id = 1
    block_name = 'graphite'
    bottom_left = '1 0 0'
    top_right = '2 0 0'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = break
    old_block = 0
    new_block = 'stainless_steel'
  []
  [interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = block_rename
    primary_block = 'stainless_steel'
    paired_block = 'graphite'
    new_boundary = 'ssg_interface'
  []
[]

[Variables]
  [potential_graphite]
    block = graphite
  []
  [potential_stainless_steel]
    block = stainless_steel
  []
[]

[AuxVariables]
  [analytic_potential_stainless_steel]
    block = stainless_steel
  []
  [analytic_potential_graphite]
    block = graphite
  []
[]

[Kernels]
  [electric_graphite]
    type = ADMatDiffusion
    variable = potential_graphite
    diffusivity = electrical_conductivity
    block = graphite
  []
  [electric_stainless_steel]
    type = ADMatDiffusion
    variable = potential_stainless_steel
    diffusivity = electrical_conductivity
    block = stainless_steel
  []
[]

[AuxKernels]
  [analytic_function_aux_stainless_steel]
    type = FunctionAux
    function = potential_fxn_stainless_steel
    variable = analytic_potential_stainless_steel
    block = stainless_steel
  []
  [analytic_function_aux_graphite]
    type = FunctionAux
    function = potential_fxn_graphite
    variable = analytic_potential_graphite
    block = graphite
  []
[]

[BCs]
  [elec_left]
    type = ADDirichletBC
    variable = potential_stainless_steel
    boundary = left
    value = 1
  []
  [elec_right]
    type = ADDirichletBC
    variable = potential_graphite
    boundary = right
    value = 0
  []
[]

[InterfaceKernels]
  [electric_contact_conductance_ssg]
    type = ElectrostaticContactCondition
    variable = potential_stainless_steel
    neighbor_var = potential_graphite
    boundary = ssg_interface
    mean_hardness = mean_hardness
    mechanical_pressure = 3000
  []
[]

[Materials]
  #graphite (at 300 K)
  [sigma_graphite]
    type = ADGenericConstantMaterial
    prop_names = electrical_conductivity
    prop_values = 73069.2
    block = graphite
  []

  #stainless_steel (at 300 K)
  [sigma_stainless_steel]
    type = ADGenericConstantMaterial
    prop_names = electrical_conductivity
    prop_values = 1.41867e6
    block = stainless_steel
  []

  # harmonic mean of graphite and stainless steel hardness
  [mean_hardness]
    type = ADGenericConstantMaterial
    prop_names = mean_hardness
    prop_values = 2.4797e9
  []
[]

[Functions]
  [potential_fxn_stainless_steel]
    type = ElectricalContactTestFunc
    domain = stainless_steel
  []
  [potential_fxn_graphite]
    type = ElectricalContactTestFunc
    domain = graphite
  []
[]

[Postprocessors]
  [error_stainless_steel]
    type = ElementL2Error
    variable = potential_stainless_steel
    function = potential_fxn_stainless_steel
    block = stainless_steel
  []
  [error_graphite]
    type = ElementL2Error
    variable = potential_graphite
    function = potential_fxn_graphite
    block = graphite
  []
[]


[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = true
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-penalty.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_one]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_two]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_two]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = MortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_one_auxk]
    type = MortarUserObjectAux
    variable = penalty_frictional_pressure_one
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = MortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_frictional_pressure_two_auxk]
    type = MortarUserObjectAux
    variable = penalty_frictional_pressure_two
    user_object = friction_uo
    contact_quantity = tangential_pressure_two
  []
  [penalty_accumulated_slip_two_auxk]
    type = MortarUserObjectAux
    variable = accumulated_slip_two
    user_object = friction_uo
    contact_quantity = accumulated_slip_two
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  allow_renumbering = false
[]

[Variables]

[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e5
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

# Other object should mix formulations
[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    friction_coefficient = 0.4
    secondary_variable = disp_x
    penalty = 1e8
    penalty_friction = 5e6
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

[VectorPostprocessors]
[]

(test/tests/meshgenerators/mesh_diagnostics_generator/conformality_test_3d.i)

[Mesh]
  [copy1]
    type = ElementGenerator
    nodal_positions = '4 4 0
                       6 4 0
                       6 6 0
                       4 6 0
                       4 4 5
                       6 4 5
                       6 6 5
                       4 6 5'
    element_connectivity = '0 1 2 3 4 5 6 7'
    elem_type = 'HEX8'
  []

  [gen]
    input = copy1
    type = RenameBlockGenerator
    old_block = "0"
    new_block = "1"
  []

  [copy2]
    type = ElementGenerator
    nodal_positions = '6 6.001 0
                       6 8 0
                       5 8 0
                       5 6.001 0
                       6 6.001 5
                       6 8 5
                       5 8 5
                       5 6.001 5'
    element_connectivity = '0 1 2 3 4 5 6 7'
    elem_type = 'HEX8'
  []

  [stitched]
    type = StitchedMeshGenerator
    inputs = 'gen copy2'
    stitch_boundaries_pairs = '0 1'
  []

  [diag]
    type = MeshDiagnosticsGenerator
    input = stitched
    examine_non_conformality = INFO
    nonconformal_tol = 0.01
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/meshgenerators/cut_mesh_by_plane_generator/simple_fine.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 4
    ny = 4
    nz = 4
    zmin = 0
    zmax = 0.6
  []
  [block_1]
    type = ParsedSubdomainMeshGenerator
    input = gmg
    combinatorial_geometry = 'z>0.3'
    block_id = 1
  []
  [rename]
    type = RenameBlockGenerator
    input = block_1
    old_block = '0 1'
    new_block = 'lower upper'
  []
  [cut]
    type = CutMeshByPlaneGenerator
    input = rename
    plane_point = '0.5 0.5 0.3'
    plane_normal = '1.0 0.9 0.8'
    generate_transition_layer = true
  []
[]

(test/tests/meshgenerators/rename_block_generator/rename_block.i)

[Mesh]
  [gmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 1'
    dy = '1 1'
    ix = '2 2'
    iy = '2 2'
    subdomain_id = '0 1 2 3'
  []

  [set_names]
    type = RenameBlockGenerator
    old_block = '0 1 2 3'
    new_block = 'block0 block1 block2 block3'
    input = gmg
  []

  # Rename parameters supplied through the "tests" specifications
  [rename]
    type = RenameBlockGenerator
    input = set_names
  []

  # We compare by element numbers, which are not consistent in parallel
  # if this is true
  allow_renumbering = false
[]

[Reporters/mesh_info]
  type = MeshInfo
  items = subdomain_elems
[]

[Outputs/out]
  type = JSON
[]

[Problem]
  solve = false
[]

[Executioner]
  type = Steady
[]

(modules/porous_flow/test/tests/actions/basicthm_th.i)

# PorousFlowBasicTHM action with coupling_type = ThermoHydroGenerator
# (no mechanical effects)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 3
    xmax = 10
    ymax = 3
  []
  [aquifer]
    input = gen
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 1 0'
    top_right = '10 2 0'
  []
  [injection_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'injection_area'
    normal = '-1 0 0'
    input = 'aquifer'
  []
  [outflow_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'outflow_area'
    normal = '1 0 0'
    input = 'injection_area'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caprock aquifer'
    input = 'outflow_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
    initial_condition = 1e6
  []
  [temperature]
    initial_condition = 293
    scaling = 1e-6
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = ThermoHydro
  gravity = '0 0 0'
  fp = simple_fluid
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1.5e6
    boundary = injection_area
  []
  [constant_injection_temperature]
    type = DirichletBC
    variable = temperature
    value = 313
    boundary = injection_area
  []
  [constant_outflow_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    boundary = outflow_area
    pt_vals = '0 1e9'
    multipliers = '0 1e9'
    flux_function = 1e-6
    PT_shift = 1e6
  []
  [constant_outflow_temperature]
    type = DirichletBC
    variable = temperature
    value = 293
    boundary = outflow_area
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2e-7
    fluid_bulk_modulus = 1e7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1e-13 0 0   0 1e-13 0   0 0 1e-13'
  []
  [permeability_caprock]
    type = PorousFlowPermeabilityConst
    block = caprock
    permeability = '1e-15 0 0   0 1e-15 0   0 0 1e-15'
  []
  [thermal_expansion]
    type = PorousFlowConstantThermalExpansionCoefficient
    biot_coefficient = 0.8
    drained_coefficient = 0.003
    fluid_coefficient = 0.0002
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 2500.0
    specific_heat_capacity = 1200.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '10 0 0  0 10 0  0 0 10'
    block = 'caprock aquifer'
  []
[]

[Preconditioning]
  [basic]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1e4
  dt = 1e3
  nl_abs_tol = 1e-15
  nl_rel_tol = 1e-14
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-al.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_one]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_two]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_two]
    order = FIRST
    family = LAGRANGE
  []
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = MortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_one_auxk]
    type = MortarUserObjectAux
    variable = penalty_frictional_pressure_one
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = MortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_frictional_pressure_two_auxk]
    type = MortarUserObjectAux
    variable = penalty_frictional_pressure_two
    user_object = friction_uo
    contact_quantity = tangential_pressure_two
  []
  [penalty_accumulated_slip_two_auxk]
    type = MortarUserObjectAux
    variable = accumulated_slip_two
    user_object = friction_uo
    contact_quantity = accumulated_slip_two
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  allow_renumbering = false
[]

[Variables]

[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e5
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

# Other object should mix formulations
[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    friction_coefficient = 0.4
    secondary_variable = disp_x
    penalty = 1e0
    penalty_friction = 1e1

    slip_tolerance = 7.0e-4 # 1e-6
    penetration_tolerance = 7.0e-4
    # max_penalty_multiplier = 10
    penalty_multiplier = 10
    penalty_multiplier_friction = 5
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'
  l_max_its = 15
  nl_max_its = 90
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

[VectorPostprocessors]
[]

(modules/porous_flow/examples/tutorial/04.i)

# Darcy flow with heat advection and conduction, and elasticity
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  biot_coefficient = 1.0
[]

[Variables]
  [porepressure]
  []
  [temperature]
    initial_condition = 293
    scaling = 1E-8
  []
  [disp_x]
    scaling = 1E-10
  []
  [disp_y]
    scaling = 1E-10
  []
  [disp_z]
    scaling = 1E-10
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = ThermoHydroMechanical
  gravity = '0 0 0'
  fp = the_simple_fluid
  eigenstrain_names = thermal_contribution
  use_displaced_mesh = false
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1E6
    boundary = injection_area
  []
  [constant_injection_temperature]
    type = DirichletBC
    variable = temperature
    value = 313
    boundary = injection_area
  []

  [roller_tmax]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = dmax
  []
  [roller_tmin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = dmin
  []
  [roller_top_bottom]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'top bottom'
  []
  [cavity_pressure_x]
    type = Pressure
    boundary = injection_area
    variable = disp_x
    component = 0
    factor = 1E6
    use_displaced_mesh = false
  []
  [cavity_pressure_y]
    type = Pressure
    boundary = injection_area
    variable = disp_y
    component = 1
    factor = 1E6
    use_displaced_mesh = false
  []
[]

[AuxVariables]
  [stress_rr]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_pp]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [stress_rr]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = stress_rr
    scalar_type = RadialStress
    point1 = '0 0 0'
    point2 = '0 0 1'
  []
  [stress_pp]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = stress_pp
    scalar_type = HoopStress
    point1 = '0 0 0'
    point2 = '0 0 1'
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
    thermal_expansion = 0.0002
    cp = 4194
    cv = 4186
    porepressure_coefficient = 0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    solid_bulk_compliance = 2E-7
    fluid_bulk_modulus = 1E7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []

  [thermal_expansion]
    type = PorousFlowConstantThermalExpansionCoefficient
    drained_coefficient = 0.003
    fluid_coefficient = 0.0002
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 2500.0
    specific_heat_capacity = 1200.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '10 0 0  0 10 0  0 0 10'
    block = 'caps aquifer'
  []

  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 5E9
    poissons_ratio = 0.0
  []
  [strain]
    type = ComputeSmallStrain
    eigenstrain_names = thermal_contribution
  []
  [thermal_contribution]
    type = ComputeThermalExpansionEigenstrain
    temperature = temperature
    thermal_expansion_coeff = 0.001 # this is the linear thermal expansion coefficient
    eigenstrain_name = thermal_contribution
    stress_free_temperature = 293
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-15
  nl_rel_tol = 1E-14
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d-rz/finite_action.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  coord_type = RZ
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e6
  []
[]

[MortarGapHeatTransfer]
  [mortar_heat_transfer]
   temperature = temp
   use_displaced_mesh = true
   gap_flux_options = conduction
   gap_conductivity = 1
   boundary = plank_right
   primary_boundary = plank_right
   primary_subdomain = frictionless_primary_subdomain
   secondary_boundary = block_left
   secondary_subdomain = frictionless_secondary_subdomain
   thermal_lm_scaling = 1e-7
   gap_geometry_type = PLATE
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(tutorials/shield_multiphysics/inputs/step10_finite_volume/mesh2d.i)

[Mesh]
  [bulk]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.5 0.75 2.0'
    dy = '0.5 0.3 0.025 3.6 0.025 0.3 0.5'
    ix = '16 24 64'
    iy = '16 10 1 112 1 10 16'
    subdomain_id = '
      0 0 0
      0 2 1
      0 2 3
      0 2 4
      0 2 3
      0 1 1
      0 0 0
    '
  []
  [hollow_concrete]
    type = BlockDeletionGenerator
    input = bulk
    block = 4
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = hollow_concrete
    old_block = '0 1 2 3'
    new_block = 'concrete_hd concrete water Al'
  []
  [add_concrete_outer_boundary]
    type = RenameBoundaryGenerator
    input = rename_blocks
    old_boundary = 'left right bottom top'
    new_boundary = 'air_boundary symmetry ground air_boundary'
  []
  [add_water_concrete_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = add_concrete_outer_boundary
    primary_block = 'water water water'
    paired_block = 'concrete_hd concrete Al'
    new_boundary = 'water_boundary'
  []
  [add_water_concrete_interface_inwards]
    type = SideSetsBetweenSubdomainsGenerator
    input = add_water_concrete_interface
    primary_block = 'concrete_hd concrete Al'
    paired_block = 'water water water'
    new_boundary = 'water_boundary_inwards'
  []
  [add_inner_cavity_solid]
    type = SideSetsAroundSubdomainGenerator
    input = add_water_concrete_interface_inwards
    block = Al
    new_boundary = 'inner_cavity_solid'
    include_only_external_sides = true
  []
  [add_inner_cavity_water]
    type = SideSetsAroundSubdomainGenerator
    input = add_inner_cavity_solid
    block = water
    new_boundary = 'inner_cavity_water'
    include_only_external_sides = true
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-action.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  allow_renumbering = false
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[Contact]
  [mortar]
    primary = 'bottom_top'
    secondary = 'top_bottom'
    formulation = mortar
    model = coulomb
    friction_coefficient = 0.4
    c_normal = 1e4
    c_tangential = 1.0e4
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'mortar_secondary_subdomain'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/navier_stokes/test/tests/finite_volume/materials/flow_diode/transient_operation.i)

# Horizontal H junction with flow in different directions in the two branches
# One of the branches has a diode against the direction of the flow that can
# be triggered using the Controls
# There are 3 different strategies available for the diode blocking the flow
# - based on a time trigger
# - based on a pressure drop (here chosen across the diode)
# - based on a mass flow rate (here chosen through the diode)

mu = 0.1
rho = 10

nx = 10
ny = 5

[Mesh]
  [cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 0.3 1'
    dy = '0.5 0.2 0.5'
    ix = '${nx} ${fparse nx/2} ${nx}'
    iy = '${ny} ${ny} ${ny}'
    subdomain_id = '1 1 1
                    2 1 2
                    3 4 1'
  []

  [add_walls]
    type = SideSetsBetweenSubdomainsGenerator
    input = 'cmg'
    primary_block = '1 3 4'
    paired_block = '2'
    new_boundary = 'walls'
  []
  [remove_wall_blocks]
    type = BlockDeletionGenerator
    input = add_walls
    block = 2
  []

  # Add inlets and outlets
  [top_left]
    type = ParsedGenerateSideset
    input = remove_wall_blocks
    combinatorial_geometry = 'x<0.001 & y>0.6'
    new_sideset_name = top_left
  []
  [bottom_left]
    type = ParsedGenerateSideset
    input = top_left
    combinatorial_geometry = 'x<0.001 & y<0.6'
    new_sideset_name = bottom_left
  []
  [top_right]
    type = ParsedGenerateSideset
    input = bottom_left
    combinatorial_geometry = 'x>2.299 & y>0.6'
    new_sideset_name = top_right
  []
  [bottom_right]
    type = ParsedGenerateSideset
    input = top_right
    combinatorial_geometry = 'x>2.299 & y<0.6'
    new_sideset_name = bottom_right
  []

  # Extra surfaces
  [diode_inlet]
    type = SideSetsBetweenSubdomainsGenerator
    input = bottom_right
    primary_block = 4
    paired_block = 3
    new_boundary = 'diode_inlet'
  []
  [mid_section]
    type = SideSetsBetweenSubdomainsGenerator
    input = diode_inlet
    primary_block = 4
    paired_block = 1
    new_boundary = 'mid_connection'
  []

  [reduce_blocks]
    type = RenameBlockGenerator
    input = 'mid_section'
    old_block = '4 3 1'
    new_block = '1 diode fluid'
  []
[]

[GlobalParams]
  rhie_chow_user_object = 'pins_rhie_chow_interpolator'
  advected_interp_method = 'upwind'
  velocity_interp_method = 'rc'
[]

[Modules]
  [NavierStokesFV]
    compressibility = 'incompressible'
    porous_medium_treatment = true

    density = ${rho}
    dynamic_viscosity = ${mu}

    initial_velocity = '1e-6 1e-6 0'
    initial_pressure = 0.0

    inlet_boundaries = 'bottom_left top_right'
    momentum_inlet_types = 'fixed-velocity fixed-velocity'
    momentum_inlet_functors = '1 0; -1 0'

    wall_boundaries = 'top bottom walls'
    momentum_wall_types = 'noslip noslip noslip'

    outlet_boundaries = 'bottom_right top_left'
    momentum_outlet_types = 'fixed-pressure fixed-pressure'
    pressure_functors = '1 1'

    friction_blocks = 'fluid; diode'
    friction_types = 'darcy forchheimer; darcy forchheimer'
    standard_friction_formulation = true
    # Base friction
    # friction_coeffs = 'Darcy Forchheimer; Darcy Forchheimer'
    # Combined with diode
    friction_coeffs = 'combined_linear combined_quadratic; combined_linear combined_quadratic'

    # Porosity jump treatment
    # Option 1: diffusion correction
    use_friction_correction = true
    consistent_scaling = 10

    # Option 2: bernouilli jump
    # porosity_interface_pressure_treatment = bernoulli

    mass_advection_interpolation = 'average'
    momentum_advection_interpolation = 'average'
  []
[]

[FunctorMaterials]
  [porosity]
    type = ADGenericFunctorMaterial
    prop_names = 'porosity'
    prop_values = '0.5'
  []
  [base_friction]
    type = ADGenericVectorFunctorMaterial
    prop_names = 'Darcy Forchheimer'
    prop_values = '220 240 260 0 0 0'
  []

  # Material definitions needed for the diode
  [diode]
    type = NSFVFrictionFlowDiodeFunctorMaterial
    # Friction only in X direction
    direction = '-1 0 0'
    additional_linear_resistance = '20000 0 0'
    additional_quadratic_resistance = '0 0 0'
    base_linear_friction_coefs = 'Darcy'
    base_quadratic_friction_coefs = 'Forchheimer'
    sum_linear_friction_name = 'diode_linear'
    sum_quadratic_friction_name = 'diode_quad'
    block = 'diode'
    turn_on_diode = false
  []
  [combine_linear_friction]
    type = ADPiecewiseByBlockVectorFunctorMaterial
    prop_name = 'combined_linear'
    subdomain_to_prop_value = 'fluid Darcy
                               diode diode_linear'
  []
  [combine_quadratic_friction]
    type = ADPiecewiseByBlockVectorFunctorMaterial
    prop_name = 'combined_quadratic'
    subdomain_to_prop_value = 'fluid Forchheimer
                               diode diode_quad'
  []

  # density is constant
  [momentum]
    type = ADGenericVectorFunctorMaterial
    prop_names = 'momentum'
    prop_values = 'superficial_vel_x superficial_vel_y 0'
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_factor_shift_type -ksp_gmres_restart'
  petsc_options_value = 'lu       NONZERO               200'
  line_search = 'none'

  end_time = 0.2
  dt = 0.015
  nl_abs_tol = 1e-12
[]

[Controls]
  active = 'pdrop_based'
  # Case 1: Diode turns on at a certain time and blocks (adds friction) flow at a given time
  [time_based]
    type = BoolFunctionControl
    function = time_function
    parameter = 'FunctorMaterials/diode/turn_on_diode'
    execute_on = timestep_begin
  []

  # Case 2: Diode looks at pressure drop, reduces flow if positive pressure drop
  # This will not oscillate as the diode increases the pressure drop
  [pdrop_based]
    type = BoolFunctionControl
    function = pdrop_positive
    parameter = 'FunctorMaterials/diode/turn_on_diode'
    execute_on = timestep_begin
  []

  # Case 3: Diode looks at flow direction & quantity, reduces flow if too much flow
  # in a given direction
  # This will oscillate (turn on/off on each step) if the action of turning the diode
  # makes the amount of flow smaller than the threshold for turning on the diode
  [flow_based]
    type = BoolFunctionControl
    function = velocity_big_enough
    parameter = 'FunctorMaterials/diode/turn_on_diode'
    execute_on = timestep_begin
  []
[]

[Functions]
  # Functions are used to parse postprocessors and provide them to a BoolFunctionControl
  [time_function]
    type = ParsedFunction
    expression = 'if(t<0.1, 0, 1)'
  []
  [pdrop_positive]
    type = ParsedFunction
    expression = 'if(pdrop_diode>100, 1, 0)'
    symbol_names = pdrop_diode
    symbol_values = pdrop_diode
  []
  [velocity_big_enough]
    type = ParsedFunction
    expression = 'if(flow_diode<-0.4, 1, 0)'
    symbol_names = flow_diode
    symbol_values = flow_diode
  []
[]

[Postprocessors]
  # Analysis of the simulation
  [mdot_top]
    type = VolumetricFlowRate
    boundary = 'top_right'
    vel_x = superficial_vel_x
    vel_y = superficial_vel_y
    advected_quantity = ${rho}
  []
  [mdot_bottom]
    type = VolumetricFlowRate
    boundary = 'bottom_right'
    vel_x = superficial_vel_x
    vel_y = superficial_vel_y
    advected_quantity = ${rho}
  []
  [mdot_middle]
    type = VolumetricFlowRate
    boundary = 'mid_connection'
    vel_x = superficial_vel_x
    vel_y = superficial_vel_y
    advected_quantity = ${rho}
  []
  [pdrop_top_channel]
    type = PressureDrop
    upstream_boundary = 'top_left'
    downstream_boundary = 'top_right'
    weighting_functor = 'momentum'
    boundary = 'top_left top_right'
    pressure = pressure
  []
  [pdrop_bottom_channel]
    type = PressureDrop
    upstream_boundary = 'bottom_left'
    downstream_boundary = 'bottom_right'
    weighting_functor = 'momentum'
    boundary = 'bottom_left bottom_right'
    pressure = pressure
  []

  # Diode operation
  [pdrop_diode]
    type = PressureDrop
    upstream_boundary = 'diode_inlet'
    downstream_boundary = 'top_left'
    weighting_functor = 'momentum'
    boundary = 'diode_inlet top_left'
    pressure = pressure
  []
  [flow_diode]
    type = VolumetricFlowRate
    boundary = 'diode_inlet'
    vel_x = superficial_vel_x
    vel_y = superficial_vel_y
    advected_quantity = ${rho}
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d-action.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Contact]
  [mortar]
    primary = 'bottom_top'
    secondary = 'top_bottom'
    formulation = mortar
    model = frictionless
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-9
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'mortar_secondary_subdomain'
    execute_on = 'nonlinear timestep_end'
  []
  [lambda]
    type = ElementAverageValue
    variable = mortar_normal_lm
    block = 'mortar_secondary_subdomain'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR

  []
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictionless_sec/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/mortar/convergence-studies/solution-continuity/continuity.i)

[Mesh]
  second_order = true
  [./left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  [../]
  [./left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = 'lb_bottom lb_right lb_top lb_left'
  [../]
  [./left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  [../]
  [./right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 1
    xmax = 2
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  [../]
  [./right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  [../]
  [right_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = right_block_id
    old_boundary = '0 1 2 3'
    new_boundary = '100 101 102 103'
  []
  [./combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_change_boundary_id'
  [../]
  [./block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  [../]
  [right_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = rb_right
    block = right_block
    normal = '1 0 0'
  []
  [right_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_right_sideset
    new_boundary = rb_left
    block = right_block
    normal = '-1 0 0'
  []
  [right_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_left_sideset
    new_boundary = rb_top
    block = right_block
    normal = '0 1 0'
  []
  [right_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_top_sideset
    new_boundary = rb_bottom
    block = right_block
    normal = '0 -1 0'
  []
  [secondary]
    input = right_bottom_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'lb_right'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'rb_left'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [./T]
    block = 'left_block right_block'
    order = SECOND
  [../]
  [./lambda]
    block = 'secondary_lower'
  [../]
[]

[BCs]
  [./neumann]
    type = FunctionGradientNeumannBC
    exact_solution = exact_soln_primal
    variable = T
    boundary = 'lb_bottom lb_top lb_left rb_bottom rb_right rb_top'
  [../]
[]

[Kernels]
  [./conduction]
    type = Diffusion
    variable = T
    block = 'left_block right_block'
  [../]
  [./sink]
    type = Reaction
    variable = T
    block = 'left_block right_block'
  [../]
  [./forcing_function]
    type = BodyForce
    variable = T
    function = forcing_function
    block = 'left_block right_block'
  [../]
[]

[Functions]
  [./forcing_function]
    type = ParsedFunction
    expression = ''
  [../]
  [./exact_soln_primal]
    type = ParsedFunction
    expression = ''
  [../]
  [exact_soln_lambda]
    type = ParsedFunction
    expression = ''
  []
[]

[Debug]
  show_var_residual_norms = 1
[]

[Constraints]
  [./mortar]
    type = EqualValueConstraint
    primary_boundary = rb_left
    secondary_boundary = lb_right
    primary_subdomain = primary_lower
    secondary_subdomain = secondary_lower
    secondary_variable = T
    variable = lambda
    delta = 0.4
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  solve_type = NEWTON
  type = Steady
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       basic                 mumps'
[]

[Outputs]
  csv = true
  [dofmap]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Postprocessors]
  [L2lambda]
    type = ElementL2Error
    variable = lambda
    function = exact_soln_lambda
    execute_on = 'timestep_end'
    block = 'secondary_lower'
  []
  [L2u]
    type = ElementL2Error
    variable = T
    function = exact_soln_primal
    execute_on = 'timestep_end'
    block = 'left_block right_block'
  []
  [h]
    type = AverageElementSize
    block = 'left_block right_block'
  []
[]

(modules/heat_transfer/test/tests/radiation_transfer_action/cavity_with_pillar_vf.i)

[Mesh]
  [cartesian]
    type = CartesianMeshGenerator
    dim = 3
    dx = '0.1 0.3 0.4 0.3 0.1'
    ix = '  1  3  4  3   1'
    dy = '0.1 0.3 0.4 0.3 0.1'
    iy = '  1  3  4  3   1'
    dz = '0.1 0.8 0.2 0.1'
    iz = ' 1   8   2   1'
    subdomain_id = '1 1 1 1 1
                    1 15 15 15 1
                    1 15 1 15 1
                    1 15 15 15 1
                    1 1 1 1 1

                    1 12 12 12 1
                    11 0 103 0  14
                    11 104 2 102  14
                    11 0 101 0  14
                    1 13 13 13 1

                    1 12 12 12 1
                    11 0 0 0  14
                    11 0 105 0  14
                    11 0 0 0  14
                    1 13 13 13 1

                    1 1 1 1 1
                    1 16 16 16 1
                    1 16 16 16 1
                    1 16 16 16 1
                    1 1 1 1 1'
  []

  [left_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 11
    paired_block = '0 101 102 103 104 105'
    new_boundary = left_interior_wall
    input = cartesian
  []

  [right_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 14
    paired_block = '0 101 102 103 104 105'
    new_boundary = right_interior_wall
    input = left_interior
  []

  [bottom_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 12
    paired_block = '0 101 102 103 104 105'
    new_boundary = bottom_interior_wall
    input = right_interior
  []

  [top_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 13
    paired_block = '0 101 102 103 104 105'
    new_boundary = top_interior_wall
    input = bottom_interior
  []

  [front_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 15
    paired_block = '0 101 102 103 104 105'
    new_boundary = front_interior_wall
    input = top_interior
  []

  [back_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 16
    paired_block = '0 101 102 103 104 105'
    new_boundary = back_interior_wall
    input = front_interior
  []

  [pillar_left]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 2
    paired_block = 104
    new_boundary = pillar_left
    input = 'back_interior'
  []

  [pillar_right]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 2
    paired_block = 102
    new_boundary = pillar_right
    input = 'pillar_left'
  []

  [pillar_bottom]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 2
    paired_block = 103
    new_boundary = pillar_bottom
    input = 'pillar_right'
  []

  [pillar_top]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 2
    paired_block = 101
    new_boundary = pillar_top
    input = 'pillar_bottom'
  []

  [pillar_back]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 2
    paired_block = 105
    new_boundary = pillar_back
    input = 'pillar_top'
  []

  [rename_block]
    type = RenameBlockGenerator
    old_block = '2 11 12 13 14 15 16 101 102 103 104 105'
    new_block = '2 1  1  1  1  1  1  0   0   0   0   0'
    input = 'pillar_back'
  []
[]

[GrayDiffuseRadiation]
  [cavity]
    sidesets = '6 7 8 9 10 11 12 13 14 15 16'
    emissivity = '0.8 0.8 0.8 0.8 0.8 eps_fn 0.8 0.8 0.8 0.8 0.8'
    n_patches = '5 5 5 5 5 5 5 5 5 5 5'
    partitioners = 'metis metis metis metis metis metis metis metis metis metis metis'
    temperature = temperature
    ray_tracing_face_order = SECOND
  []
[]

[Functions]
  [eps_fn]
    type = ConstantFunction
    value = 0.8
  []
[]

[Variables]
  [temperature]
    initial_condition = 300
    block = '1 2'
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temperature
    block = '1 2'
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = temperature
    boundary = left
    value = 500
  []

  [front]
    type = DirichletBC
    variable = temperature
    boundary = front
    value = 300
  []
[]

[Materials]
  [hcmat]
    type = HeatConductionMaterial
    thermal_conductivity = 25.0
    specific_heat = 490.0
    block = '1 2'
  []

  [density]
    type = GenericConstantMaterial
    prop_names = 'density'
    prop_values = '80'
    block = '1 2'
  []
[]

[Executioner]
  type = Steady
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
[]

[Outputs]
  exodus = true
[]

(test/tests/meshgenerators/xy_delaunay_generator/xydelaunay_stitching.i)

[Mesh]
  [outer_bdy]
    type = PolyLineMeshGenerator
    points = '-1.0 0.0 0.0
              0.0 -1.0 0.0
              1.0 0.0 0.0
              0.0 2.0 0.0'
    loop = true
  []
  [hole_1]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 3
    ny = 3
    xmin = -0.5
    xmax = -0.3
    ymin = -0.1
    ymax = 0.1
  []
  [hole_1_name]
    type = RenameBlockGenerator
    input = hole_1
    old_block = 0
    new_block = hole
  []
  [hole_2]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 3
    ny = 3
    xmin = 0.3
    xmax = 0.5
    ymin = -0.1
    ymax = 0.1
  []
  [hole_2_name_1]
    type = RenameBlockGenerator
    input = hole_2
    old_block = 0
    new_block = 1
  []
  [hole_2_name_2]
    type = RenameBlockGenerator
    input = hole_2_name_1
    old_block = 1
    new_block = hole
  []
  [triang]
    type = XYDelaunayGenerator
    boundary = 'outer_bdy'
    holes = 'hole_1_name
             hole_2'
    stitch_holes = 'true
                    false'
    refine_holes = 'false
                    false'
    add_nodes_per_boundary_segment = 3
    refine_boundary = false
    desired_area = 0.05
    output_subdomain_name = "triangles"
  []
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
  converge_on = 'disp_x disp_y temp'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
    extra_vector_tags = 'ref'
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
    extra_vector_tags = 'ref'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
  nl_abs_tol = 1e-13
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2drz/ad_frictionless_second/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    use_automatic_differentiation = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    use_automatic_differentiation = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []
  [swell]
    type = ADComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = ADGenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/closed_gap_pressure_dependent_thermal_contact.i)

## Units in the input file: m-Pa-s-K

# The analytical solution for a steady state thermal contact and a mechanical
# contact pressure of 1Pa, the temperature of the steel block at the interface
# is calcaluated as
#
# T^s_{int} = \frac{T^a_{BC}C_T k_a + T^s_{BC} k_s \left(k_a +C_T \right)}{k_s (k_a + C_T) + k_a C_T}
# T^s_{int} = 460K
#
# with the boundary conditions and thermal conductivity values specified in the
# input file below. Similarly, the temperature of the aluminum block (cold block)
# is calculated as
#
# T^a_{int} = \frac{T^s_{int} C_T + T^a_{BC} k_a}{k_a + C_T}
# T^a_{int} = 276K
#
# The values predicted by the simulation at the interface converge towards these
# temperature values, and are within a few degrees by 240s. A smaller timestep
# than is practical for the regression test application further reduces the difference
# between the analytical solution and the simulation result.


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmax = 1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmin = 1
    xmax = 2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
[]

[Variables]
  [disp_x]
    block = 'left_block right_block'
  []
  [disp_y]
    block = 'left_block right_block'
  []
  [temperature]
    initial_condition = 525.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[Physics]
  [SolidMechanics/QuasiStatic]
    [steel]
      strain = SMALL
      add_variables = false
      use_automatic_differentiation = true
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'left_block'
    []
    [aluminum]
      strain = SMALL
      add_variables = false
      use_automatic_differentiation = true
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'right_block'
    []
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    block = 'left_block'
  []
  [HeatTdot_steel]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = steel_heat_capacity
    density_name = steel_density
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    block = 'right_block'
  []
  [HeatTdot_aluminum]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = aluminum_heat_capacity
    density_name = aluminum_density
    block = 'right_block'
  []
[]

[BCs]
  [fixed_bottom_edge]
    type = ADDirichletBC
    variable = disp_y
    value = 0
    boundary = 'moving_block_bottom fixed_block_bottom'
  []
  [fixed_outer_edge]
    type = ADDirichletBC
    variable = disp_x
    value = 0
    boundary = 'fixed_block_right'
  []
  [displacement_left_block]
    type = ADDirichletBC
    variable = disp_x
    value = 1.8e-11
    boundary = 'moving_block_left'
  []
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 800
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 250
    boundary = 'fixed_block_right'
  []
[]

[Contact]
  [interface]
    primary = moving_block_right
    secondary = fixed_block_left
    model = frictionless
    formulation = mortar
    correct_edge_dropping = true
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed'
    use_displaced_mesh = true
  []
[]

[Materials]
  [steel_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
    poissons_ratio = 0.29
    block = 'left_block'
  []
  [steel_stress]
    type = ADComputeLinearElasticStress
    block = 'left_block'
  []
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity'
    prop_values = '8e3            16.2                        0.5' ## for stainless steel 304
    block = 'left_block'
  []

  [aluminum_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
    poissons_ratio = 0.36
    block = 'right_block'
  []
  [aluminum_stress]
    type = ADComputeLinearElasticStress
    block = 'right_block'
  []
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity'
    prop_values = ' 2.7e3           210                             0.9'
    block = 'right_block'
  []
[]

[UserObjects]
  [closed]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = 1.0
    secondary_hardness = 1.0
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 245
    variable = temperature
  []
  [aluminum_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 657
    variable = temperature
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
[]


[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  # mortar contact solver options
  petsc_options = '-snes_converged_reason -pc_svd_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = ' lu       superlu_dist'
  snesmf_reuse_base = false

  nl_rel_tol = 1e-10
  nl_max_its = 20
  l_max_its = 50

  dt = 60
  end_time = 240
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_aux_kernels/pressure-aux-frictionless-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Problem]
  # error_on_jacobian_nonzero_reallocation = true
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [normal_lm]
    type = MortarPressureComponentAux
    variable = normal_lm
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    lm_var_x = lm_x
    lm_var_y = lm_y
    lm_var_z = lm_z
    component = 'NORMAL'
    boundary = 'top_bottom'
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu superlu_dist 1e-5          NONZERO               1e-10'
  end_time = 1
  dt = .5
  dtmin = .01
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = false
  csv = true
  execute_on = 'FINAL'
[]

[VectorPostprocessors]
  [normal_lm]
    type = NodalValueSampler
    block = secondary_lower
    variable = normal_lm
    sort_by = 'id'
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d-penalty.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = MortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = normal_uo
    contact_quantity = normal_pressure
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]

[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

# Other object should mix formulations
[UserObjects]
  [normal_uo]
    type = PenaltyWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    penalty = 1e8
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = normal_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = normal_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = normal_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

[VectorPostprocessors]
[]

(test/tests/mortar/convergence-studies/fv-gap-conductance/gap-conductance.i)

[Problem]
  error_on_jacobian_nonzero_reallocation = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = 'lb_bottom lb_right lb_top lb_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2
    xmax = 3
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  []
  [right_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = right_block_id
    old_boundary = '0 1 2 3'
    new_boundary = '100 101 102 103'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [right_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = rb_right
    included_subdomains = right_block
    normal = '1 0 0'
  []
  [right_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_right_sideset
    new_boundary = rb_left
    included_subdomains = right_block
    normal = '-1 0 0'
  []
  [right_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_left_sideset
    new_boundary = rb_top
    included_subdomains = right_block
    normal = '0 1 0'
  []
  [right_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_top_sideset
    new_boundary = rb_bottom
    included_subdomains = right_block
    normal = '0 -1 0'
  []
  [secondary]
    input = right_bottom_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'lb_right'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'rb_left'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [T]
    block = 'left_block right_block'
    type = MooseVariableFVReal
  []
  [lambda]
    block = 'secondary_lower'
    family = MONOMIAL
    order = CONSTANT
  []
[]

[FVBCs]
  [neumann]
    type = FVFunctionDirichletBC
    function = exact_soln_primal
    variable = T
    boundary = 'lb_bottom lb_top lb_left rb_bottom rb_right rb_top'
  []
[]

[FVKernels]
  [conduction]
    type = FVDiffusion
    variable = T
    block = 'left_block right_block'
    coeff = 1
  []
  [sink]
    type = FVReaction
    variable = T
    block = 'left_block right_block'
  []
  [forcing_function]
    type = FVBodyForce
    variable = T
    function = forcing_function
    block = 'left_block right_block'
  []
[]

[Functions]
  [forcing_function]
    type = ParsedFunction
    expression = ''
  []
  [exact_soln_primal]
    type = ParsedFunction
    expression = ''
  []
  [exact_soln_lambda]
    type = ParsedFunction
    expression = ''
  []
  [mms_secondary]
    type = ParsedFunction
    expression = ''
  []
  [mms_primary]
    type = ParsedFunction
    expression = ''
  []
[]

[Constraints]
  [mortar]
    type = GapHeatConductanceTest
    primary_boundary = rb_left
    secondary_boundary = lb_right
    primary_subdomain = primary_lower
    secondary_subdomain = secondary_lower
    secondary_variable = T
    variable = lambda
    secondary_gap_conductance = 1
    primary_gap_conductance = 1
    secondary_mms_function = mms_secondary
    primary_mms_function = mms_primary
  []
[]

[Executioner]
  solve_type = NEWTON
  type = Steady
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre    boomeramg'
[]

[Outputs]
  csv = true
[]

[Postprocessors]
  [L2lambda]
    type = ElementL2Error
    variable = lambda
    function = exact_soln_lambda
    execute_on = 'timestep_end'
    block = 'secondary_lower'
  []
  [L2u]
    type = ElementL2Error
    variable = T
    function = exact_soln_primal
    execute_on = 'timestep_end'
    block = 'left_block right_block'
  []
  [h]
    type = AverageElementSize
    block = 'left_block right_block'
  []
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/varied_pressure_thermomechanical_mortar.i)

## Units in the input file: m-Pa-s-K

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 0.25
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 13
    xmin = 0.25
    xmax = 0.5
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  patch_update_strategy = iteration
[]

[Variables]
  [disp_x]
    block = 'left_block right_block'
  []
  [disp_y]
    block = 'left_block right_block'
  []
  [temperature]
    initial_condition = 300.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[Physics]
  [SolidMechanics/QuasiStatic]
    [steel]
      strain = FINITE
      add_variables = false
      use_automatic_differentiation = true
      generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'left_block'
    []
    [aluminum]
      strain = FINITE
      add_variables = false
      use_automatic_differentiation = true
      generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'right_block'
    []
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    block = 'left_block'
  []
  [HeatTdot_steel]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = steel_heat_capacity
    density_name = steel_density
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    block = 'right_block'
  []
  [HeatTdot_aluminum]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = aluminum_heat_capacity
    density_name = aluminum_density
    block = 'right_block'
  []
[]

[BCs]
  [fixed_bottom_edge]
    type = ADDirichletBC
    variable = disp_y
    value = 0
    boundary = 'moving_block_bottom fixed_block_bottom'
  []
  [fixed_outer_edge]
    type = ADDirichletBC
    variable = disp_x
    value = 0
    boundary = 'fixed_block_right'
  []
  [pressure_left_block]
    type = ADPressure
    variable = disp_x
    boundary = 'moving_block_left'
    function = '1e4*t*y'
  []
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 800
    boundary = 'fixed_block_right'
  []
[]

[Contact]
  [interface]
    primary = moving_block_right
    secondary = fixed_block_left
    model = frictionless
    formulation = mortar
    correct_edge_dropping = true
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed'
    use_displaced_mesh = true
  []
[]

[Materials]
  [steel_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
    poissons_ratio = 0.29
    block = 'left_block'
  []
  [steel_stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'left_block'
  []
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_hardness'
    prop_values = ' 8e3            16.2                     0.5                 129' ## for stainless steel 304
    block = 'left_block'
  []

  [aluminum_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
    poissons_ratio = 0.36
    block = 'right_block'
  []
  [aluminum_stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'right_block'
  []
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_hardness'
    prop_values = ' 2.7e3            210                           0.9                   15' #for 99% pure Al
    block = 'right_block'
  []
[]

[UserObjects]
  [closed]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [contact_pressure_max]
    type = NodalExtremeValue
    variable = interface_normal_lm
    block = interface_secondary_subdomain
    value_type = max
  []
  [contact_pressure_average]
    type = AverageNodalVariableValue
    variable = interface_normal_lm
    block = interface_secondary_subdomain
  []
  [contact_pressure_min]
    type = NodalExtremeValue
    variable = interface_normal_lm
    block = interface_secondary_subdomain
    value_type = min
  []
  [interface_temperature_max]
    type = NodalExtremeValue
    variable = temperature
    block = interface_secondary_subdomain
    value_type = max
  []
  [interface_temperature_average]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_temperature_min]
    type = NodalExtremeValue
    variable = temperature
    block = interface_secondary_subdomain
    value_type = min
  []
[]


[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  # mortar contact solver options
  petsc_options = '-snes_converged_reason -pc_svd_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = ' lu       superlu_dist'
  snesmf_reuse_base = false

  nl_rel_tol = 1e-7
  nl_max_its = 20
  l_max_its = 50

  dt = 0.125
  end_time = 1
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(test/tests/meshgenerators/xyz_delaunay_generator/xyzdelaunay_stitching.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    elem_type = TET4
    nx = 1
    ny = 1
    nz = 1
    xmin = -1
    xmax = 1
    ymin = -1
    ymax = 1
    zmin = -1
    zmax = 1
  []
  [outer_bdy]
    type = ParsedNodeTransformGenerator
    input = gmg
    x_function = "z+x"
    y_function = "y"
    z_function = "z-x"
  []
  [hole_1]
    type = ParsedNodeTransformGenerator
    input = gmg
    x_function = ".25+.125*x"
    y_function = ".25+.125*y"
    z_function = ".25+.125*z"
  []
  [hole_1_name]
    type = RenameBlockGenerator
    input = hole_1
    old_block = 0
    new_block = hole
  []
  [hole_2]
    type = ParsedNodeTransformGenerator
    input = gmg
    x_function = ".75+.125*x"
    y_function = ".75+.125*y"
    z_function = ".75+.125*z"
  []
  [hole_2_name_1]
    type = RenameBlockGenerator
    input = hole_2
    old_block = 0
    new_block = 1
  []
  [hole_2_name_2]
    type = RenameBlockGenerator
    input = hole_2_name_1
    old_block = 1
    new_block = hole
  []
  [triang]
    type = XYZDelaunayGenerator
    boundary = 'outer_bdy'
    holes = 'hole_1_name
             hole_2'
    stitch_holes = 'true
                    false'
    desired_volume = 10000
    output_subdomain_name = "triangles"
  []
[]

[Executioner]
  type = Steady
[]

[Postprocessors]
  [volume]
    type = VolumePostprocessor
  []
[]

[Problem]
  solve = false
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_first/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/ates/ates.i)

# Simulation designed to assess the recovery efficiency of a single-well ATES system
# Using KT stabilisation
# Boundary conditions: fixed porepressure and temperature at top, bottom and far end of model.

#####################################
flux_limiter = minmod # minmod, vanleer, mc, superbee, none
# depth of top of aquifer (m)
depth = 400

inject_fluid_mass = 1E8 # kg
produce_fluid_mass = ${inject_fluid_mass} # kg
inject_temp = 90 # degC

inject_time = 91 # days
store_time = 91 # days
produce_time = 91 # days
rest_time = 91 # days
num_cycles = 5 # Currently needs to be <= 10

cycle_length = '${fparse inject_time + store_time + produce_time + rest_time}'

end_simulation = '${fparse cycle_length * num_cycles}'

# Note: I have setup 10 cycles but you can set num_cycles less than 10.
start_injection1 = 0
start_injection2 = ${cycle_length}
start_injection3 = '${fparse cycle_length * 2}'
start_injection4 = '${fparse cycle_length * 3}'
start_injection5 = '${fparse cycle_length * 4}'
start_injection6 = '${fparse cycle_length * 5}'
start_injection7 = '${fparse cycle_length * 6}'
start_injection8 = '${fparse cycle_length * 7}'
start_injection9 = '${fparse cycle_length * 8}'
start_injection10 = '${fparse cycle_length * 9}'

end_injection1 = '${fparse start_injection1 + inject_time}'
end_injection2 = '${fparse start_injection2 + inject_time}'
end_injection3 = '${fparse start_injection3 + inject_time}'
end_injection4 = '${fparse start_injection4 + inject_time}'
end_injection5 = '${fparse start_injection5 + inject_time}'
end_injection6 = '${fparse start_injection6 + inject_time}'
end_injection7 = '${fparse start_injection7 + inject_time}'
end_injection8 = '${fparse start_injection8 + inject_time}'
end_injection9 = '${fparse start_injection9 + inject_time}'
end_injection10 = '${fparse start_injection10 + inject_time}'

start_production1 = '${fparse end_injection1 + store_time}'
start_production2 = '${fparse end_injection2 + store_time}'
start_production3 = '${fparse end_injection3 + store_time}'
start_production4 = '${fparse end_injection4 + store_time}'
start_production5 = '${fparse end_injection5 + store_time}'
start_production6 = '${fparse end_injection6 + store_time}'
start_production7 = '${fparse end_injection7 + store_time}'
start_production8 = '${fparse end_injection8 + store_time}'
start_production9 = '${fparse end_injection9 + store_time}'
start_production10 = '${fparse end_injection10 + store_time}'

end_production1 = '${fparse start_production1 + produce_time}'
end_production2 = '${fparse start_production2 + produce_time}'
end_production3 = '${fparse start_production3 + produce_time}'
end_production4 = '${fparse start_production4 + produce_time}'
end_production5 = '${fparse start_production5 + produce_time}'
end_production6 = '${fparse start_production6 + produce_time}'
end_production7 = '${fparse start_production7 + produce_time}'
end_production8 = '${fparse start_production8 + produce_time}'
end_production9 = '${fparse start_production9 + produce_time}'
end_production10 = '${fparse start_production10 + produce_time}'

synctimes = '${start_injection1} ${end_injection1} ${start_production1} ${end_production1}
             ${start_injection2} ${end_injection2} ${start_production2} ${end_production2}
             ${start_injection3} ${end_injection3} ${start_production3} ${end_production3}
             ${start_injection4} ${end_injection4} ${start_production4} ${end_production4}
             ${start_injection5} ${end_injection5} ${start_production5} ${end_production5}
             ${start_injection6} ${end_injection6} ${start_production6} ${end_production6}
             ${start_injection7} ${end_injection7} ${start_production7} ${end_production7}
             ${start_injection8} ${end_injection8} ${start_production8} ${end_production8}
             ${start_injection9} ${end_injection9} ${start_production9} ${end_production9}
             ${start_injection10} ${end_injection10} ${start_production10} ${end_production10}'

#####################################
# Geometry in RZ coordinates
# borehole radius (m)
bh_r = 0.1
# model radius (m)
max_r = 1000
# aquifer thickness (m)
aq_thickness = 20
# cap thickness (m)
cap_thickness = 40
# injection region top and bottom (m).  Note, the mesh is created with the aquifer in y = (-0.5 * aq_thickness, 0.5 * aq_thickness), irrespective of depth (depth only sets the insitu porepressure and temperature)
screen_top = '${fparse 0.5 * aq_thickness}'
screen_bottom = '${fparse -0.5 * aq_thickness}'

# number of elements in radial direction
num_r = 25
# number of elements across half height of aquifer
num_y_aq = 10
# number of elements across height of cap
num_y_cap = 8

# mesh bias in radial direction
bias_r = 1.22
# mesh bias in vertical direction in aquifer top
bias_y_aq_top = 0.9
# mesh bias in vertical direction in cap top
bias_y_cap_top = 1.3
# mesh bias in vertical direction in aquifer bottom
bias_y_aq_bottom = '${fparse 1.0 / bias_y_aq_top}'
# mesh bias in vertical direction in cap bottom
bias_y_cap_bottom = '${fparse 1.0 / bias_y_cap_top}'
depth_centre = '${fparse depth + aq_thickness/2}'

#####################################
# temperature at ground surface (degC)
temp0 = 20
# Vertical geothermal gradient (K/m).  A positive number means temperature increases downwards.
geothermal_gradient = 20E-3

#####################################
# Gravity
gravity = -9.81

#####################################
half_aq_thickness = '${fparse aq_thickness * 0.5}'
half_height = '${fparse half_aq_thickness + cap_thickness}'
approx_screen_length = '${fparse screen_top - screen_bottom}'

# Thermal radius (note this is not strictly correct, it should use the bulk specific heat
#  capacity as defined below, but it doesn't matter here because this is purely for
#  defining the region of refined mesh)
th_r = '${fparse sqrt(inject_fluid_mass / 1000 * 4.12e6 / (approx_screen_length * 3.1416 * aq_specific_heat_cap * aq_density))}'
# radius of fine mesh
fine_r = '${fparse th_r * 2}'
bias_r_fine = 1
num_r_fine = '${fparse int(fine_r/1)}'

######################################
# aquifer properties
aq_porosity = 0.25
aq_hor_perm = 1E-11 # m^2
aq_ver_perm = 2E-12 # m^2
aq_density = 2650 # kg/m^3
aq_specific_heat_cap = 800 # J/Kg/K
aq_hor_thermal_cond = 3 # W/m/K
aq_ver_thermal_cond = 3 # W/m/K
aq_disp_parallel = 0 # m
aq_disp_perp = 0 # m
# Bulk volumetric heat capacity of aquifer:
aq_vol_cp = '${fparse aq_specific_heat_cap * aq_density * (1 - aq_porosity) + 4180 * 1000 * aq_porosity}'
# Thermal radius (correct version using bulk cp):
R_th = '${fparse sqrt(inject_fluid_mass * 4180 / (approx_screen_length * 3.1416 * aq_vol_cp))}'
aq_lambda_eff_hor = '${fparse aq_hor_thermal_cond + 0.3 * aq_disp_parallel * R_th * aq_vol_cp / (inject_time * 60 * 60 * 24)}'
aq_lambda_eff_ver = '${fparse aq_ver_thermal_cond + 0.3 * aq_disp_perp * R_th * aq_vol_cp / (inject_time * 60 * 60 * 24)}'
aq_hor_dry_thermal_cond = '${fparse aq_lambda_eff_hor * 60 * 60 * 24}' # J/day/m/K
aq_ver_dry_thermal_cond = '${fparse aq_lambda_eff_ver * 60 * 60 * 24}' # J/day/m/K
aq_hor_wet_thermal_cond = '${fparse aq_lambda_eff_hor * 60 * 60 * 24}' # J/day/m/K
aq_ver_wet_thermal_cond = '${fparse aq_lambda_eff_ver * 60 * 60 * 24}' # J/day/m/K
# cap-rock properties
cap_porosity = 0.25
cap_hor_perm = 1E-16 # m^2
cap_ver_perm = 1E-17 # m^2
cap_density = 2650 # kg/m^3
cap_specific_heat_cap = 800 # J/kg/K
cap_hor_thermal_cond = 3 # W/m/K
cap_ver_thermal_cond = 3 # W/m/K
cap_hor_dry_thermal_cond = '${fparse cap_hor_thermal_cond * 60 * 60 * 24}' # J/day/m/K
cap_ver_dry_thermal_cond = '${fparse cap_ver_thermal_cond * 60 * 60 * 24}' # J/day/m/K
cap_hor_wet_thermal_cond = '${fparse cap_hor_thermal_cond * 60 * 60 * 24}' # J/day/m/K
cap_ver_wet_thermal_cond = '${fparse cap_ver_thermal_cond * 60 * 60 * 24}' # J/day/m/K

######################################

[Mesh]
  coord_type = RZ
  [aq_top_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_aq_top}
    ny = ${num_y_aq}
    ymin = 0
    ymax = ${half_aq_thickness}
  []
  [cap_top_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_cap_top}
    ny = ${num_y_cap}
    ymax = ${half_height}
    ymin = ${half_aq_thickness}
  []
  [aq_and_cap_top_fine]
    type = StitchedMeshGenerator
    inputs = 'aq_top_fine cap_top_fine'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []
  [aq_bottom_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_aq_bottom}
    ny = ${num_y_aq}
    ymax = 0
    ymin = -${half_aq_thickness}
  []
  [cap_bottom_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_cap_bottom}
    ny = ${num_y_cap}
    ymin = -${half_height}
    ymax = -${half_aq_thickness}
  []
  [aq_and_cap_bottom_fine]
    type = StitchedMeshGenerator
    inputs = 'aq_bottom_fine cap_bottom_fine'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'bottom top'
    merge_boundaries_with_same_name = false
  []
  [aq_and_cap_fine]
    type = StitchedMeshGenerator
    inputs = 'aq_and_cap_bottom_fine aq_and_cap_top_fine'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []

  [aq_top]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_aq_top}
    ny = ${num_y_aq}
    ymin = 0
    ymax = ${half_aq_thickness}
  []
  [cap_top]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_cap_top}
    ny = ${num_y_cap}
    ymax = ${half_height}
    ymin = ${half_aq_thickness}
  []
  [aq_and_cap_top]
    type = StitchedMeshGenerator
    inputs = 'aq_top cap_top'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []
  [aq_bottom]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_aq_bottom}
    ny = ${num_y_aq}
    ymax = 0
    ymin = -${half_aq_thickness}
  []
  [cap_bottom]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_cap_bottom}
    ny = ${num_y_cap}
    ymin = -${half_height}
    ymax = -${half_aq_thickness}
  []
  [aq_and_cap_bottom]
    type = StitchedMeshGenerator
    inputs = 'aq_bottom cap_bottom'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'bottom top'
  []
  [aq_and_cap]
    type = StitchedMeshGenerator
    inputs = 'aq_and_cap_bottom aq_and_cap_top'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []

  [aq_and_cap_all]
    type = StitchedMeshGenerator
    inputs = 'aq_and_cap_fine aq_and_cap'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'right left'
  []

  [aquifer]
    type = ParsedSubdomainMeshGenerator
    input = aq_and_cap_all
    combinatorial_geometry = 'y >= -${half_aq_thickness} & y <= ${half_aq_thickness}'
    block_id = 1
  []
  [top_cap]
    type = ParsedSubdomainMeshGenerator
    input = aquifer
    combinatorial_geometry = 'y >= ${half_aq_thickness}'
    block_id = 2
  []
  [bottom_cap]
    type = ParsedSubdomainMeshGenerator
    input = top_cap
    combinatorial_geometry = 'y <= -${half_aq_thickness}'
    block_id = 3
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x<=${bh_r}*1.000001 & y >= ${screen_bottom} & y <= ${screen_top}'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'bottom_cap'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '1 2 3'
    new_block = 'aquifer caps caps'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '0 ${gravity} 0'
[]

[Variables]
  [porepressure]
  []
  [temperature]
    scaling = 1E-5
  []
[]

[PorousFlowFullySaturated]
  coupling_type = ThermoHydro
  porepressure = porepressure
  temperature = temperature
  fp = tabulated_water
  stabilization = KT
  flux_limiter_type = ${flux_limiter}
  use_displaced_mesh = false
  temperature_unit = Celsius
  pressure_unit = Pa
  time_unit = days
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = insitu_pressure
  []
  [temperature]
    type = FunctionIC
    variable = temperature
    function = insitu_temperature
  []
[]

[BCs]
  [outer_boundary_porepressure]
    type = FunctionDirichletBC
    preset = true
    variable = porepressure
    function = insitu_pressure
    boundary = 'bottom right top'
  []
  [outer_boundary_temperature]
    type = FunctionDirichletBC
    preset = true
    variable = temperature
    function = insitu_temperature
    boundary = 'bottom right top'
  []
  [inject_heat]
    type = FunctionDirichletBC
    variable = temperature
    function = ${inject_temp}
    boundary = 'injection_area'
  []
  [inject_fluid]
    type = PorousFlowSink
    variable = porepressure
    boundary = injection_area
    flux_function = injection_rate_value
  []
  [produce_heat]
    type = PorousFlowSink
    variable = temperature
    boundary = injection_area
    flux_function = production_rate_value
    fluid_phase = 0
    use_enthalpy = true
    save_in = heat_flux_out
  []
  [produce_fluid]
    type = PorousFlowSink
    variable = porepressure
    boundary = injection_area
    flux_function = production_rate_value
  []
[]

[Controls]
  [inject_on]
    type = ConditionalFunctionEnableControl
    enable_objects = 'BCs::inject_heat BCs::inject_fluid'
    conditional_function = inject
    implicit = false
    execute_on = 'initial timestep_begin'
  []
  [produce_on]
    type = ConditionalFunctionEnableControl
    enable_objects = 'BCs::produce_heat BCs::produce_fluid'
    conditional_function = produce
    implicit = false
    execute_on = 'initial timestep_begin'
  []
[]

[Functions]
  [insitu_pressure]
    type = ParsedFunction
    expression = '(y - ${depth_centre}) * 1000 * ${gravity} + 1E5' # approx insitu pressure in Pa
  []
  [insitu_temperature]
    type = ParsedFunction
    expression = '${temp0} + (${depth_centre} - y) * ${geothermal_gradient}'
  []

  [inject]
    type = ParsedFunction
    expression = 'if(t >= ${start_injection1} & t < ${end_injection1}, 1,
             if(t >= ${start_injection2} & t < ${end_injection2}, 1,
             if(t >= ${start_injection3} & t < ${end_injection3}, 1,
             if(t >= ${start_injection4} & t < ${end_injection4}, 1,
             if(t >= ${start_injection5} & t < ${end_injection5}, 1,
             if(t >= ${start_injection6} & t < ${end_injection6}, 1,
             if(t >= ${start_injection7} & t < ${end_injection7}, 1,
             if(t >= ${start_injection8} & t < ${end_injection8}, 1,
             if(t >= ${start_injection9} & t < ${end_injection9}, 1,
             if(t >= ${start_injection10} & t < ${end_injection10}, 1, 0))))))))))'
  []
  [produce]
    type = ParsedFunction
    expression = 'if(t >= ${start_production1} & t < ${end_production1}, 1,
             if(t >= ${start_production2} & t < ${end_production2}, 1,
             if(t >= ${start_production3} & t < ${end_production3}, 1,
             if(t >= ${start_production4} & t < ${end_production4}, 1,
             if(t >= ${start_production5} & t < ${end_production5}, 1,
             if(t >= ${start_production6} & t < ${end_production6}, 1,
             if(t >= ${start_production7} & t < ${end_production7}, 1,
             if(t >= ${start_production8} & t < ${end_production8}, 1,
             if(t >= ${start_production9} & t < ${end_production9}, 1,
             if(t >= ${start_production10} & t < ${end_production10}, 1, 0))))))))))'
  []

  [injection_rate_value]
    type = ParsedFunction
    symbol_names = true_screen_area
    symbol_values = true_screen_area
    expression = '-${inject_fluid_mass}/(true_screen_area * ${inject_time})'
  []
  [production_rate_value]
    type = ParsedFunction
    symbol_names = true_screen_area
    symbol_values = true_screen_area
    expression = '${produce_fluid_mass}/(true_screen_area * ${produce_time})'
  []

  [heat_out_in_timestep]
    type = ParsedFunction
    symbol_names = 'dt heat_out'
    symbol_values = 'dt heat_out_fromBC'
    expression = 'dt*heat_out'
  []
  [produced_T_time_integrated]
    type = ParsedFunction
    symbol_names = 'dt produced_T'
    symbol_values = 'dt produced_T'
    expression = 'dt*produced_T / ${produce_time}'
  []
[]

[AuxVariables]
  [density]
    family = MONOMIAL
    order = CONSTANT
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
  []
  [heat_flux_out]
    outputs = none
  []
[]

[AuxKernels]
  [density]
    type = PorousFlowPropertyAux
    variable = density
    property = density
  []
  [porosity]
    type = PorousFlowPropertyAux
    variable = porosity
    property = porosity
  []
[]

[FluidProperties]
  [true_water]
    type = Water97FluidProperties
  []
  [tabulated_water]
    type = TabulatedFluidProperties
    fp = true_water
    temperature_min = 275 # K
    temperature_max = 600
    interpolated_properties = 'density viscosity enthalpy internal_energy'
    fluid_property_output_file = water97_tabulated_modified.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = water97_tabulated_modified.csv
  []
[]

[Materials]
  [porosity_aq]
    type = PorousFlowPorosityConst
    porosity = ${aq_porosity}
    block = aquifer
  []
  [porosity_caps]
    type = PorousFlowPorosityConst
    porosity = ${cap_porosity}
    block = caps
  []

  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '${aq_hor_perm} 0 0   0 ${aq_ver_perm} 0   0 0 0'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '${cap_hor_perm} 0 0   0 ${cap_ver_perm} 0   0 0 0'
  []

  [aq_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    block = aquifer
    density = ${aq_density}
    specific_heat_capacity = ${aq_specific_heat_cap}
  []
  [caps_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    block = caps
    density = ${cap_density}
    specific_heat_capacity = ${cap_specific_heat_cap}
  []

  [aq_thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    block = aquifer
    dry_thermal_conductivity = '${aq_hor_dry_thermal_cond} 0 0  0 ${aq_ver_dry_thermal_cond} 0  0 0 0'
    wet_thermal_conductivity = '${aq_hor_wet_thermal_cond} 0 0  0 ${aq_ver_wet_thermal_cond} 0  0 0 0'
  []
  [caps_thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    block = caps
    dry_thermal_conductivity = '${cap_hor_dry_thermal_cond} 0 0  0 ${cap_ver_dry_thermal_cond} 0  0 0 0'
    wet_thermal_conductivity = '${cap_hor_wet_thermal_cond} 0 0  0 ${cap_ver_wet_thermal_cond} 0  0 0 0'
  []
[]

[Postprocessors]
  [true_screen_area] # this accounts for meshes that do not match screen_top and screen_bottom exactly
    type = AreaPostprocessor
    boundary = injection_area
    execute_on = 'initial'
    outputs = 'none'
  []
  [dt]
    type = TimestepSize
  []

  [heat_out_fromBC]
    type = NodalSum
    variable = heat_flux_out
    boundary = injection_area
    execute_on = 'initial timestep_end'
    outputs = 'none'
  []
  [heat_out_per_timestep]
    type = FunctionValuePostprocessor
    function = heat_out_in_timestep
    execute_on = 'timestep_end'
    outputs = 'none'
  []
  [heat_out_cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = heat_out_per_timestep
    execute_on = 'timestep_end'
    outputs = 'csv console'
  []
  [produced_T]
    type = SideAverageValue
    boundary = injection_area
    variable = temperature
    execute_on = 'initial timestep_end'
    outputs = 'csv console'
  []
  [produced_T_time_integrated]
    type = FunctionValuePostprocessor
    function = produced_T_time_integrated
    execute_on = 'timestep_end'
    outputs = 'none'
  []
  [produced_T_cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = produced_T_time_integrated
    execute_on = 'timestep_end'
    outputs = 'csv console'
  []
[]

[Preconditioning]
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = ${end_simulation}
  timestep_tolerance = 1e-5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 1e-3
    growth_factor = 2
  []

  dtmax = 1
  dtmin = 1e-5
  # rough calc for fluid, |R| ~ V*k*1E6 ~ V*1E-5
  # rough calc for heat, |R| ~ V*(lam*1E-3 + h*1E-5)  ~ V*(1E3 + 1E-2)
  # so scale heat by 1E-7 and go for nl_abs_tol = 1E-4, which should give a max error of
  # ~1Pa and ~0.1K in the first metre around the borehole
  nl_abs_tol = 1E-4
  nl_rel_tol = 1E-5
[]

[Outputs]
  sync_times = ${synctimes}
  [ex]
    type = Exodus
    time_step_interval = 20
  []
  [csv]
    type = CSV
    execute_postprocessors_on = 'initial timestep_end'
  []
[]

(modules/porous_flow/examples/tutorial/08.i)

# Unsaturated Darcy-Richards flow
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    input = annular
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
[]

[PorousFlowUnsaturated]
  porepressure = porepressure
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = the_simple_fluid
  relative_permeability_exponent = 3
  relative_permeability_type = Corey
  residual_saturation = 0.1
  van_genuchten_alpha = 1E-6
  van_genuchten_m = 0.6
[]

[BCs]
  [production]
    type = PorousFlowSink
    variable = porepressure
    fluid_phase = 0
    flux_function = 1E-2
    use_relperm = true
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-12
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/reactor/test/tests/meshgenerators/subdomain_extra_element_id_generator/subdomain_elem_ids_test.i)

[Mesh]
  [gmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = 1
    ix = 10
    dy = '0.2 0.2 0.2 0.2 0.2'
    iy = '2 2 2 2 2'
    subdomain_id = '0 1 2 3 4'
  []

  [give_subdomain_name]
    type = RenameBlockGenerator
    input = gmg
    old_block = '1 3'
    new_block = 'sub1 sub3'
  []

  [subdomain_ids]
    type = SubdomainExtraElementIDGenerator
    input = give_subdomain_name
    subdomains = '0 sub1 2 sub3'
    extra_element_id_names = 'test_id1 test_id2 test_id3'
    extra_element_ids = '
                   1 3 5 4;
                   2 9 10 11;
                   0 8 1 2
                 '
    default_extra_element_ids = '0 12 13'
  []
[]

[Problem]
  kernel_coverage_check = false
  solve = false
[]

[AuxVariables]
  [test_id1]
    family = MONOMIAL
    order = CONSTANT
  []
  [test_id2]
    family = MONOMIAL
    order = CONSTANT
  []
  [test_id3]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [test_id1]
    type = ExtraElementIDAux
    variable = test_id1
    extra_id_name = test_id1
  []
  [test_id2]
    type = ExtraElementIDAux
    variable = test_id2
    extra_id_name = test_id2
  []
  [test_id3]
    type = ExtraElementIDAux
    variable = test_id3
    extra_id_name = test_id3
  []
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d-rz/finite_action_al.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_al'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  coord_type = RZ
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  maximum_lagrangian_update_iterations = 20
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = penalty_weightedgap_object_al_frictionless
    contact_quantity = normal_pressure
    boundary = 'block_left'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Contact]
  [al_frictionless]
    formulation = mortar_penalty
    model = frictionless
    primary = plank_right
    secondary = block_left
    penalty = 5e6
    al_penetration_tolerance = 1e-7
    penalty_multiplier = 50
  []
[]

[MortarGapHeatTransfer]
  [mortar_heat_transfer]
    temperature = temp
    use_displaced_mesh = true
    gap_flux_options = conduction
    gap_conductivity = 1
    boundary = plank_right
    primary_boundary = plank_right
    primary_subdomain = al_frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = al_frictionless_secondary_subdomain
    thermal_lm_scaling = 1e-7
    gap_geometry_type = PLATE
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  end_time = 7.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  exodus = true
  [comp]
    type = CSV
    show = 'avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/rectangle_w_line.i)

[Mesh]
  parallel_type = 'replicated'
  [rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 50
    xmin = -0.5
    xmax = 0.5
    ymin = -1.25
    ymax = 1.25
    boundary_name_prefix = rectangle
  []
  [rectangle_id]
    type = SubdomainIDGenerator
    input = rectangle
    subdomain_id = 1
  []
  [line]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -0.5
    xmax = 0.5
    nx = 10
    boundary_name_prefix = line
    boundary_id_offset = 10
  []
  [line_id]
    type = SubdomainIDGenerator
    input = line
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'rectangle_id line_id'
  []
  [blcok_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'rectangle line'
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
    block = 'rectangle'
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 'rectangle'
  []
  [time_derivative_line]
    type = TrussHeatConductionTimeDerivative
    variable = temperature
    area = area
    block = 'line'
  []
  [heat_conduction_line]
    type = TrussHeatConduction
    variable = temperature
    area = area
    block = 'line'
  []
[]

[AuxVariables]
  [area]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [area]
    type = ConstantAux
    variable = area
    value = 0.1 # strip thickness
    execute_on = 'initial timestep_begin'
  []
[]

[Constraints]
  [equalvalue]
    type = EqualValueEmbeddedConstraint
    secondary = 'line'
    primary = 'rectangle'
    penalty = 1e6
    formulation = kinematic
    primary_variable = temperature
    variable = temperature
  []
[]

[Materials]
  [rectangle]
    type = GenericConstantMaterial
    block = 'rectangle'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '1.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [line]
    type = GenericConstantMaterial
    block = 'line'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '10.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'rectangle_right line_right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [x_n0_25]
    type = LineValueSampler
    start_point = '-0.25 0 0'
    end_point = '-0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
  [x_0_25]
    type = LineValueSampler
    start_point = '0.25 0 0'
    end_point = '0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/rectangle_w_line'
    time_data = true
  []
[]

(modules/thermal_hydraulics/test/tests/components/flow_component_ns/rectangle.i)

# This input file is used to generate a rectangle mesh for other tests. It
# should be run with "--mesh-only rectangle.e".

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 10
    ymin = 0
    ymax = 1
    nx = 20
    ny = 5
  []
  [rename_block]
    type = RenameBlockGenerator
    input = gen
    old_block = 0
    new_block = 'body'
  []
[]

(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_loop_negative_rotation.i)

mu = 1.0
rho = 1.0

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.1 0.8 0.1'
    dy = '0.1 0.8 0.1'
    ix = '5 20 5'
    iy = '5 20 5'
    subdomain_id = '1 1 1
                    1 2 1
                    1 1 1'
  []
  [delete_internal_part]
    type = BlockDeletionGenerator
    input = gen
    block = '2'
    new_boundary = 'wall-internal'
  []
  [lump_bdries_to_wall]
    type = RenameBoundaryGenerator
    input = delete_internal_part
    old_boundary = 'bottom right top left'
    new_boundary = 'wall-external wall-external wall-external wall-external'
  []
  [pump_domain]
    type = ParsedSubdomainMeshGenerator
    input = lump_bdries_to_wall
    combinatorial_geometry = 'x > 0.3 & x < 0.4 & y > 0.5'
    block_id = '3'
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = pump_domain
    old_block = '1 3'
    new_block = 'pipe pump'
  []
  [side_pump]
    type = ParsedGenerateSideset
    input = rename_blocks
    included_subdomains = 'pump'
    included_neighbors = 'pipe'
    new_sideset_name = 'pump_side'
    normal = '1 0 0'
    combinatorial_geometry = 'x > 0.35'
  []
[]

[GlobalParams]
  velocity_interp_method = 'rc'
  advected_interp_method = 'upwind'
  rhie_chow_user_object = 'rc'
[]

[Problem]
  material_coverage_check = False
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
    correct_volumetric_force = true
    volumetric_force_functors = 'pump_volume_force'
    volume_force_correction_method = 'force-consistent'
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [lambda]
    family = SCALAR
    order = FIRST
  []
[]

[AuxVariables]
  [U]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[AuxKernels]
  [mag]
    type = VectorMagnitudeAux
    variable = U
    x = vel_x
    y = vel_y
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    rho = ${rho}
  []
  [mean_zero_pressure]
    type = FVIntegralValueConstraint
    variable = pressure
    lambda = lambda
    phi0 = 0.0
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []
  [u_pump]
    type = INSFVPump
    variable = vel_x
    momentum_component = 'x'
    pump_volume_force = 'pump_volume_force'
    block = 'pump'
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
[]

[FVBCs]
  [walls-u]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_x
    function = '0'
  []
  [walls-v]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_y
    function = '0'
  []
[]

[Functions]
  [pump_head_negative]
    type = PiecewiseLinear
    x = '0.0 10.0'
    y = '1000.0 0.0'
  []
[]

[FunctorMaterials]
  [pump_mat]
    type = NSFVPumpFunctorMaterial
    rho = ${rho}
    speed = 'U'
    rotation_speed = 120
    rotation_speed_rated = 100
    area_rated = 0.1
    volume_rated = 0.01
    flow_rate_rated = 1.0
    flow_rate = 'flow_rate'
    block = 'pump'
    enable_negative_rotation = true
    symmetric_negative_pressure_head = false
    pressure_head_function_negative_rotation = 'pump_head_negative'
  []
[]

[Postprocessors]
  [flow_rate]
    type = Receiver
    default = 1.0
  []
  [flow_rate_to_pipe]
    type = VolumetricFlowRate
    advected_quantity = ${rho}
    boundary = 'pump_side'
    vel_x = 'vel_x'
    vel_y = 'vel_y'
  []
  [maximum_speed]
    type = ADElementExtremeFunctorValue
    functor = vel_x
    value_type = max
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = false
  [out]
    type = CSV
    execute_on = FINAL
    show = 'flow_rate_to_pipe maximum_speed'
  []
[]

(modules/heat_transfer/test/tests/gray_lambert_radiator/coupled_heat_conduction.i)

[Problem]
  kernel_coverage_check = false
[]

[Mesh]
  type = MeshGeneratorMesh

  [./cartesian]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 1 1'
    ix = '2 2 2'
    dy = '5'
    iy = '10'
    subdomain_id = '1 2 3'
  [../]

  [./break_sides]
    type = BreakBoundaryOnSubdomainGenerator
    boundaries = 'bottom top'
    input = cartesian
  [../]

  [./left_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 1
    paired_block = 2
    new_boundary = left_interior
    input = break_sides
  [../]

  [./right_interior]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 3
    paired_block = 2
    new_boundary = right_interior
    input = left_interior
  [../]
  [./rename]
    type = RenameBlockGenerator
    input = right_interior
    old_block = '1 2 3'
    new_block = '1 4 3'
  [../]
[]


[Variables]
  [./temperature]
    initial_condition = 300
    block = '1 3'
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temperature
    diffusion_coefficient = 1
    block = '1 3'
  [../]
[]

[UserObjects]
  [./cavity_radiation]
    type = ConstantViewFactorSurfaceRadiation
    boundary = 'left_interior right_interior bottom_to_2 top_to_2'
    temperature = temperature
    emissivity = '0.8 0.8 0.8 0.8'
    adiabatic_boundary = 'bottom_to_2 top_to_2'
    # these view factors are made up to exactly balance energy
    # transfer through the cavity
    view_factors = '0    0.8 0.1 0.1;
                    0.8  0   0.1 0.1;
                    0.45 0.45  0 0.1;
                    0.45 0.45 0.1  0'
    execute_on = 'INITIAL LINEAR TIMESTEP_END'
  [../]
[]

[BCs]
  [./bottom_left]
    type = DirichletBC
    preset = false
    variable = temperature
    boundary = bottom_to_1
    value = 1500
  [../]

  [./top_right]
    type = DirichletBC
    preset = false
    variable = temperature
    boundary = top_to_3
    value = 300
  [../]

  [./radiation]
    type = GrayLambertNeumannBC
    variable = temperature
    reconstruct_emission = false
    surface_radiation_object_name = cavity_radiation
    boundary = 'left_interior right_interior'
  [../]
[]

[Postprocessors]
  [./qdot_left]
    type = GrayLambertSurfaceRadiationPP
    boundary = left_interior
    surface_radiation_object_name = cavity_radiation
    return_type = HEAT_FLUX_DENSITY
  [../]

  [./qdot_right]
    type = GrayLambertSurfaceRadiationPP
    boundary = right_interior
    surface_radiation_object_name = cavity_radiation
    return_type = HEAT_FLUX_DENSITY
  [../]

  [./qdot_top]
    type = GrayLambertSurfaceRadiationPP
    boundary = top_to_2
    surface_radiation_object_name = cavity_radiation
    return_type = HEAT_FLUX_DENSITY
  [../]

  [./qdot_bottom]
    type = GrayLambertSurfaceRadiationPP
    boundary = bottom_to_2
    surface_radiation_object_name = cavity_radiation
    return_type = HEAT_FLUX_DENSITY
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(test/tests/mesh/mesh-names-with-numbers-then-letters/test.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  []
  [funny_sub_name]
    input = gen
    type = RenameBlockGenerator
    old_block = "0"
    new_block = "0test"
  []
  [funny_bndry_name]
    input = funny_sub_name
    type = RenameBoundaryGenerator
    old_boundary = "right"
    new_boundary = "0test"
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
    block = "0test"
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = DirichletBC
    variable = u
    boundary = "0test"
    value = 1
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action_external_boundary.i)

[Problem]
  kernel_coverage_check = false
[]

[Mesh]
  [./cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 1.3 1.9'
    ix = '3 3 3'
    dy = '6'
    iy = '9'
    subdomain_id = '0 1 2'
  [../]

    [./inner_left]
      type = SideSetsBetweenSubdomainsGenerator
      input = cmg
      primary_block = 0
      paired_block = 1
      new_boundary = 'inner_left'
    [../]

    [./inner_right]
      type = SideSetsBetweenSubdomainsGenerator
      input = inner_left
      primary_block = 2
      paired_block = 1
      new_boundary = 'inner_right'
    [../]

    [./inner_top]
      type = ParsedGenerateSideset
      combinatorial_geometry = 'abs(y - 6) < 1e-10'
      normal = '0 1 0'
      included_subdomains = 1
      new_sideset_name = 'inner_top'
      input = 'inner_right'
    [../]

    [./inner_bottom]
      type = ParsedGenerateSideset
      combinatorial_geometry = 'abs(y) < 1e-10'
      normal = '0 -1 0'
      included_subdomains = 1
      new_sideset_name = 'inner_bottom'
      input = 'inner_top'
    [../]

    [./rename]
      type = RenameBlockGenerator
      old_block = '2'
      new_block = '0'
      input = inner_bottom
    [../]
[]

[Variables]
  [./temperature]
    block = 0
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 0
    diffusion_coefficient = 5
  [../]
[]

[GrayDiffuseRadiation]
  [./cavity]
    boundary = '4 5 6 7'
    emissivity = '0.9 0.8 eps_fn 1'
    n_patches = '2 2 2 3'
    partitioners = 'centroid centroid centroid centroid'
    centroid_partitioner_directions = 'x y y x'
    temperature = temperature
    adiabatic_boundary = '7'
    fixed_temperature_boundary = '6'
    fixed_boundary_temperatures = '800'
    view_factor_calculator = analytical
  [../]
[]

[Functions]
  [eps_fn]
    type = ConstantFunction
    value = 0.4
  []
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = temperature
    boundary = left
    value = 1000
  [../]

  [./right]
    type = DirichletBC
    variable = temperature
    boundary = right
    value = 300
  [../]
[]

[Postprocessors]
  [./average_T_inner_right]
    type = SideAverageValue
    variable = temperature
    boundary = inner_right
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_as_volume_force_loop_pressure_corrected.i)

mu = 1.0
rho = 1.0

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.1 0.8 0.1'
    dy = '0.1 0.8 0.1'
    ix = '5 20 5'
    iy = '5 20 5'
    subdomain_id = '1 1 1
                    1 2 1
                    1 1 1'
  []
  [delete_internal_part]
    type = BlockDeletionGenerator
    input = gen
    block = '2'
    new_boundary = 'wall-internal'
  []
  [lump_bdries_to_wall]
    type = RenameBoundaryGenerator
    input = delete_internal_part
    old_boundary = 'bottom right top left'
    new_boundary = 'wall-external wall-external wall-external wall-external'
  []
  [pump_domain]
    type = ParsedSubdomainMeshGenerator
    input = lump_bdries_to_wall
    combinatorial_geometry = 'x > 0.3 & x < 0.7 & y > 0.5'
    block_id = '3'
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = pump_domain
    old_block = '1 3'
    new_block = 'pipe pump'
  []
  [side_pump]
    type = ParsedGenerateSideset
    input = rename_blocks
    included_subdomains = 'pump'
    included_neighbors = 'pipe'
    new_sideset_name = 'pump_side'
    normal = '1 0 0'
    combinatorial_geometry = 'x > 0.35'
  []
[]

[GlobalParams]
  velocity_interp_method = 'rc'
  advected_interp_method = 'upwind'
  rhie_chow_user_object = 'rc'
[]

[Problem]
  material_coverage_check = False
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
    correct_volumetric_force = true
    volumetric_force_functors = 'pump_force'
    volume_force_correction_method = 'pressure-consistent'
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [lambda]
    family = SCALAR
    order = FIRST
  []
[]

[AuxVariables]
  [U]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[AuxKernels]
  [mag]
    type = VectorMagnitudeAux
    variable = U
    x = vel_x
    y = vel_y
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    rho = ${rho}
  []
  [mean_zero_pressure]
    type = FVIntegralValueConstraint
    variable = pressure
    lambda = lambda
    phi0 = 0.0
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []
  [u_pump]
    type = INSFVBodyForce
    variable = vel_x
    momentum_component = 'x'
    functor = 'pump_force'
    block = 'pump'
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
[]

[FVBCs]
  [walls-u]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_x
    function = '0'
  []
  [walls-v]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_y
    function = '0'
  []
[]

[FunctorMaterials]
  [pump_force]
    type = PiecewiseByBlockFunctorMaterial
    prop_name = 'pump_force'
    subdomain_to_prop_value = 'pump 1000.0
                               pipe 0.0'
  []
[]

[Postprocessors]
  [flow_rate]
    type = Receiver
    default = 1.0
  []
  [flow_rate_to_pipe]
    type = VolumetricFlowRate
    advected_quantity = ${rho}
    boundary = 'pump_side'
    vel_x = 'vel_x'
    vel_y = 'vel_y'
  []
  [maximum_speed]
    type = ADElementExtremeFunctorValue
    functor = vel_x
    value_type = max
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = false
  [out]
    type = CSV
    execute_on = FINAL
    show = 'flow_rate_to_pipe maximum_speed'
  []
[]

(test/tests/meshgenerators/xy_mesh_line_cutter/err_multi_block_cut.i)

[Mesh]
  [ccmg]
    type = ConcentricCircleMeshGenerator
    num_sectors = 6
    radii = '1 2 4 6'
    rings = '1 2 2 3 2'
    has_outer_square = on
    pitch = 15
    preserve_volumes = false
    smoothing_max_it = 3
  []
  [rename]
      type = RenameBlockGenerator
      input = ccmg
      old_block = '1 2'
      new_block = 'center center_trimmer_tri'
  []
  [mlc]
    type = XYMeshLineCutter
    input = rename
    cut_line_params = '1 -2 0'
    new_boundary_id = 20
    input_mesh_external_boundary_id = 1
  []
[]

(modules/thermal_hydraulics/test/tests/components/file_mesh_component/mesh.i)

# This file generates the mesh for the FileMeshComponent test.

[Mesh]
  [gen_mesh_mg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 2
    xmin = 0
    xmax = 5.0
    ymin = 2.0
    ymax = 3.0
  []
  [rename_block_mg]
    type = RenameBlockGenerator
    input = gen_mesh_mg
    old_block = 0
    new_block = 'block_a'
  []
[]

(modules/electromagnetics/test/tests/interfacekernels/electrostatic_contact/contact_conductance_calculated.i)

[Mesh]
  [box]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.5 0.5'
    dy = '0.25 0.5 0.25'
    ix = '20 20'
    iy = '10 20 10'
    subdomain_id = '1 1
                    2 3
                    1 1'
  []
  [rename_subdomains]
    type = RenameBlockGenerator
    input = box
    old_block = '1 2'
    new_block = 'stainless_steel graphite'
  []
  [create_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = rename_subdomains
    primary_block = stainless_steel
    paired_block = graphite
    new_boundary = 'ssg_interface'
  []
  [delete_block]
    type = BlockDeletionGenerator
    input = create_interface
    block = 3
  []
  coord_type = RZ
[]

[Variables]
  [potential_graphite]
    block = graphite
  []
  [potential_stainless_steel]
    block = stainless_steel
  []
[]

[Kernels]
  [electric_graphite]
    type = ADMatDiffusion
    variable = potential_graphite
    diffusivity = electrical_conductivity
    block = graphite
  []
  [electric_stainless_steel]
    type = ADMatDiffusion
    variable = potential_stainless_steel
    diffusivity = electrical_conductivity
    block = stainless_steel
  []
[]

[BCs]
  [elec_top]
    type = DirichletBC
    variable = potential_stainless_steel
    boundary = top
    value = 1
  []
  [elec_bottom]
    type = DirichletBC
    variable = potential_stainless_steel
    boundary = bottom
    value = 0
  []
[]

[InterfaceKernels]
  [electrostatic_contact]
    type = ElectrostaticContactCondition
    variable = potential_stainless_steel
    neighbor_var = potential_graphite
    boundary = ssg_interface
    primary_conductivity = electrical_conductivity
    secondary_conductivity = electrical_conductivity
    mean_hardness = mean_hardness
    mechanical_pressure = 8.52842e10  # resulting contact conductance should be ~1.47e5 as described in Cincotti et al (https://doi.org/10.1002/aic.11102)
  []
[]

[Materials]
  #graphite
  [sigma_graphite]
    type = ADGenericConstantMaterial
    prop_names = 'electrical_conductivity'
    prop_values = 3.33e2
    block = graphite
  []

  #stainless_steel
  [sigma_stainless_steel]
    type = ADGenericConstantMaterial
    prop_names = 'electrical_conductivity'
    prop_values = 1.429e6
    block = stainless_steel
  []

  #mean hardness
  [harmonic_mean_hardness]
    type = ADGenericConstantMaterial
    prop_names = 'mean_hardness'
    prop_values = 2.4797e9
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
  nl_rel_tol = 1e-09
  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm         101   preonly   ilu      1'
  automatic_scaling = true
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics-light-function.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_x
    component = 0
    boundary = 'top_bottom'
  []
  [friction_y_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_y
    component = 1
    boundary = 'top_bottom'
  []
  [friction_z_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_z
    component = 2
    boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
[]

[Functions]
  # x: Contact pressure
  # y: Magnitude of tangential relative velocity
  # z: Temperature (to be implemented)
  [mu_function]
    type = ParsedFunction
    expression = '0.3 + 0.5 * 2.17^(-x/100) - 10.0 * y'
  []
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1e-3
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1e-3
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1e-3
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.02
    displacements = 'disp_x disp_y disp_z'
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    c = 1e5
    c_t = 1.0e5
    newmark_beta = 0.25
    newmark_gamma = 0.5
    interpolate_normals = false
    correct_edge_dropping = true
    capture_tolerance = 1e-04
    function_friction = mu_function
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back bottom_top bottom_bottom'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back bottom_top bottom_bottom'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back bottom_top bottom_bottom'
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top_top'
    function = '0.1*t'
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-0.1*t'
  []
[]

[Executioner]
  type = Transient
  end_time = .04
  dt = .02
  dtmin = .001
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type  -pc_factor_shift_type'
  petsc_options_value = ' lu       NONZERO             '
  nl_rel_tol = 5e-13
  nl_abs_tol = 5e-13
  line_search = 'basic'

  [TimeIntegrator]
    type = NewmarkBeta
    gamma = 0.5
    beta = 0.25
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/heat_transfer/test/tests/interface_heating_mortar/constraint_joule_heating_single_material.i)

## Units in the input file: m-Pa-s-K-V

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmax = 0.1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmin = 0.1
    xmax = 0.2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Variables]
  [temperature]
    initial_condition = 300.0
  []
  [potential]
  []
  [potential_interface_lm]
    block = 'interface_secondary_subdomain'
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 1.0
  []
[]

[Kernels]
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block right_block'
  []
  [electric_aluminum]
    type = ADMatDiffusion
    variable = potential
    diffusivity = aluminum_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'fixed_block_right'
  []

  [electric_left]
    type = ADDirichletBC
    variable = potential
    value = 0.0
    boundary = moving_block_left
  []
  [electric_right]
    type = ADDirichletBC
    variable = potential
    value = 3.0e-1
    boundary = fixed_block_right
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_temperature'
  []
  [electrical_contact]
    type = ModularGapConductanceConstraint
    variable = potential_interface_lm
    secondary_variable = potential
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_electric'
  []
  [interface_heating]
    type = ADInterfaceJouleHeatingConstraint
    potential_lagrange_multiplier = potential_interface_lm
    secondary_variable = temperature
    primary_electrical_conductivity = aluminum_electrical_conductivity
    secondary_electrical_conductivity = aluminum_electrical_conductivity
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
  []
[]

[Materials]
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_electrical_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                           900.0                   3.7e7                           1.0' #for 99% pure Al
    block = 'left_block right_block interface_secondary_subdomain'
  []
[]

[UserObjects]
  [closed_temperature]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = aluminum_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = aluminum_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
  [closed_electric]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = aluminum_electrical_conductivity
    secondary_conductivity = aluminum_electrical_conductivity
    temperature = potential
    contact_pressure = interface_normal_lm
    primary_hardness = aluminum_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [aluminum_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
  [aluminum_interface_potential]
    type = AverageNodalVariableValue
    variable = potential
    block = interface_secondary_subdomain
  []
  [interface_electrical_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = fixed_block_left
    diffusivity = aluminum_electrical_conductivity
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-6
  nl_max_its = 50
  nl_forced_its = 1
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(test/tests/mesh/blocks_max_dimension/blocks_max_dimension.i)

# This input file tests MooseMesh::getBlocksMaxDimension(), which gets the MESH
# dimension of a list of subdomain names.
#
# Note the differences between the MESH dimension and the SPATIAL dimension.
# The SPATIAL dimension just looks at the maximum coordinate dimension used:
#   - Equals 3 if there is a nonzero z coordinate
#   - Equals 2 if there is no nonzero z coordinate, but there is a nonzero y coordinate
#   - Equals 1 if there is no nonzero y or z coordinate
# In contrast, the MESH dimension looks at the dimensionality of the elements.
# Therefore, the MESH dimension differs from the SPATIAL dimension when:
#   - a 1D element has a nonzero y or z coordinate
#   - a 2D element has a nonzero z coordinate
# This test will include subdomains with these cases and test different
# lists of subdomains.
#

[Mesh]
  # 1D block
  [block1d_mg]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.0
    xmax = 1.0
  []
  [block1d_renumber_mg]
    type = RenameBlockGenerator
    input = block1d_mg
    old_block = 0
    new_block = 1
  []
  [block1d_rename_mg]
    type = RenameBlockGenerator
    input = block1d_renumber_mg
    old_block = 1
    new_block = 'block1d'
  []
  [block1d_translate_mg]
    type = TransformGenerator
    input = block1d_rename_mg
    transform = TRANSLATE
    vector_value = '0 0 1.0'
  []

  # 2D block
  [block2d_mg]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2.0
    xmax = 3.0
    ymin = 0.0
    ymax = 1.0
    boundary_id_offset = 10
  []
  [block2d_renumber_mg]
    type = RenameBlockGenerator
    input = block2d_mg
    old_block = 0
    new_block = 2
  []
  [block2d_rename_mg]
    type = RenameBlockGenerator
    input = block2d_renumber_mg
    old_block = 2
    new_block = 'block2d'
  []
  [boundary2d_rename_mg]
    type = RenameBoundaryGenerator
    input = block2d_rename_mg
    old_boundary = 'left right bottom top'
    new_boundary = 'left2d right2d bottom2d top2d'
  []
  [block2d_translate_mg]
    type = TransformGenerator
    input = boundary2d_rename_mg
    transform = TRANSLATE
    vector_value = '0 0 1.0'
  []

  # 3D block
  [block3d_mg]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = 4.0
    xmax = 5.0
    ymin = 0.0
    ymax = 1.0
    zmin = 0.0
    zmax = 1.0
    boundary_id_offset = 20
  []
  [block3d_renumber_mg]
    type = RenameBlockGenerator
    input = block3d_mg
    old_block = 0
    new_block = 3
  []
  [block3d_rename_mg]
    type = RenameBlockGenerator
    input = block3d_renumber_mg
    old_block = 3
    new_block = 'block3d'
  []
  [boundary3d_rename_mg]
    type = RenameBoundaryGenerator
    input = block3d_rename_mg
    old_boundary = 'left right bottom top back front'
    new_boundary = 'left3d right3d bottom3d top3d back3d front3d'
  []

  # combine blocks
  [combiner_mg]
    type = CombinerGenerator
    inputs = 'block1d_translate_mg block2d_translate_mg boundary3d_rename_mg'
  []
[]

[Postprocessors]
  [dim_1d]
    type = BlocksMaxDimensionPostprocessor
    block = 'block1d'
    execute_on = 'INITIAL'
  []
  [dim_1d_2d]
    type = BlocksMaxDimensionPostprocessor
    block = 'block1d block2d'
    execute_on = 'INITIAL'
  []
  [dim_1d_2d_3d]
    type = BlocksMaxDimensionPostprocessor
    block = 'block1d block2d block3d'
    execute_on = 'INITIAL'
  []
[]

[Executioner]
  type = Steady
[]

[Problem]
  solve = false
[]

[Outputs]
  csv = true
  execute_on = 'INITIAL'
[]

(modules/porous_flow/examples/tutorial/08_KT.i)

# Unsaturated Darcy-Richards flow
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    input = annular
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
[]

[PorousFlowUnsaturated]
  porepressure = porepressure
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = the_simple_fluid
  relative_permeability_exponent = 3
  relative_permeability_type = Corey
  residual_saturation = 0.1
  van_genuchten_alpha = 1E-6
  van_genuchten_m = 0.6
  stabilization = KT
  flux_limiter_type = None
[]

[BCs]
  [production]
    type = PorousFlowSink
    variable = porepressure
    fluid_phase = 0
    flux_function = 1E-2
    use_relperm = true
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E5
  dt = 1E5
  nl_rel_tol = 1E-14
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/horizontal_blocks_mortar_TM.i)

offset = 0.01

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [./left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    nx = 1
    ny = 1
    elem_type = QUAD4
    boundary_name_prefix = lb
  [../]
  [./left_block_id]
    type = SubdomainIDGenerator
    input = left_block
    subdomain_id = 1
  [../]

  [./right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.6
    ymax = 0.6
    nx = 1
    ny = 1
    elem_type = QUAD4
    boundary_name_prefix = rb
    boundary_id_offset = 10
  [../]
  [./right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  [../]

  [./combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  [../]
  [./block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = t/10.0
  [../]
[]

[BCs]
  [./push_x]
    type = FunctionDirichletBC
    preset = true
    variable = disp_x
    boundary = lb_left
    function = horizontal_movement
  [../]
  [./fix_x]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = rb_right
    value = 0.0
  [../]
  [./fix_y]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = rb_right
    value = 0.0
  [../]
  [./fix_y_offset]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = lb_left
    value = ${offset}
  [../]
[]

[Materials]
  [./elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = left_block
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  [../]

  [./elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = right_block
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_right]
    type = ComputeFiniteStrainElasticStress
    block = right_block
  [../]
[]

[Contact]
  [./leftright]
    secondary = lb_right
    primary = rb_left

    model = frictionless
    formulation = mortar
  [../]
[]

[ICs]
  [./disp_x]
    type = ConstantIC
    block = left_block
    variable = disp_x
    value = -${offset}
  [../]
  [./disp_y]
    block = left_block
    variable = disp_y
    value = ${offset}
    type = ConstantIC
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   20'

  dt = 0.1
  dtmin = 0.1
  end_time = 0.1

  l_tol = 1e-4
  l_max_its = 100

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  nl_max_its = 100
[]

(tutorials/shield_multiphysics/inputs/step11_multiapps/step11_local.i)

[Mesh]
  # We make a 3D sphere, but really this could be done in 1D
  [sphere]
    type = SphereMeshGenerator
    radius = 10
    nr = 3
    n_smooth = 10
  []
  # Dimensions of each layer are not realistic
  [HDPE_inner]
    type = ParsedSubdomainMeshGenerator
    input = 'sphere'
    combinatorial_geometry = 'x*x + y*y + z*z < 2*2'
    block_id = 1
  []
  [boron_inner]
    type = ParsedSubdomainMeshGenerator
    input = 'HDPE_inner'
    combinatorial_geometry = '(x*x + y*y + z*z > 2*2) & (x*x + y*y + z*z < 3*3)'
    block_id = 2
  []
  [HDPE_mid]
    type = ParsedSubdomainMeshGenerator
    input = 'boron_inner'
    combinatorial_geometry = '(x*x + y*y + z*z > 3*3) & (x*x + y*y + z*z < 6*6)'
    block_id = 3
  []
  [boron_mid]
    type = ParsedSubdomainMeshGenerator
    input = 'HDPE_mid'
    combinatorial_geometry = '(x*x + y*y + z*z > 6*6) & (x*x + y*y + z*z < 7*7)'
    block_id = 4
  []
  [HDPE_outer]
    type = ParsedSubdomainMeshGenerator
    input = 'boron_mid'
    combinatorial_geometry = 'x*x + y*y + z*z > 7*7'
    block_id = 5
  []
  [rename]
    type = RenameBlockGenerator
    input = 'HDPE_outer'
    old_block = '1 2 3 4 5'
    new_block = 'HDPE_inner boron_inner HDPE_mid boron_mid HDPE_outer'
  []
  [rename_boundary]
    type = RenameBoundaryGenerator
    input = 'rename'
    old_boundary = '0'
    new_boundary = 'outer'
  []

  # length_unit = 0.01
  [scale]
    type = TransformGenerator
    input = rename_boundary
    transform = SCALE
    vector_value = '0.01 0.01 0.01'
  []
[]

[Variables]
  [T]
    initial_condition = 300
  []
[]

# Solve heat equation, with a source from boron absorption
[Kernels]
  [conduction]
    type = HeatConduction
    variable = T
  []
  [source]
    type = CoupledForce
    variable = T
    block = 'boron_inner boron_mid'
    v = flux
    # 2 is our arbitrary value for the group cross section
    coef = 2
  []
[]

[BCs]
  [outer]
    type = PostprocessorDirichletBC
    boundary = 'outer'
    variable = 'T'
    postprocessor = 'T_boundary'
  []
[]

[AuxVariables]
  # Received from the main solve
  [flux]
    initial_condition = 1e5
  []
[]

[Materials]
  [hdpe]
    type = HeatConductionMaterial
    block = 'HDPE_inner HDPE_mid HDPE_outer'
    # arbitrary
    thermal_conductivity = 10
  []
  [boron]
    type = HeatConductionMaterial
    block = 'boron_inner boron_mid'
    # arbitrary
    thermal_conductivity = 7
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Postprocessors]
  # Used for boundary condition, received from the main solve
  [T_boundary]
    type = Receiver
    default = 320
  []

  # Compute those then send to the main app
  [T_hdpe_out]
    type = ElementAverageValue
    variable = 'T'
    block = 'HDPE_outer'
  []
  [T_boron_mid]
    type = ElementAverageValue
    variable = 'T'
    block = 'boron_mid'
  []
  [T_hdpe_mid]
    type = ElementAverageValue
    variable = 'T'
    block = 'HDPE_mid'
  []
  [T_boron_inner]
    type = ElementAverageValue
    variable = 'T'
    block = 'boron_inner'
  []
  [T_hdpe_inner]
    type = ElementAverageValue
    variable = 'T'
    block = 'HDPE_inner'
  []
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_volume/pins/block-restriction/with-empty-block.i)

mu = 1.2
rho_fluid = 0.2
k_fluid = 1.1
cp_fluid = 2.3
T_cold = 310
alpha = 1e-3
Q = 200

[Problem]
  kernel_coverage_check = false
[]

[GlobalParams]
  rhie_chow_user_object = 'rc'
  velocity_interp_method = 'rc'
  advected_interp_method = 'average'
[]

[Mesh]
  [cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.3683 0.0127'
    dy = '0.0127 0.2292 2.5146 0.2292 0.0127'
    ix = '2 1'
    iy = '1 2 3 2 1'
    subdomain_id = '0 0
                    1 0
                    2 0
                    1 0
                    0 0
                    '
  []

  [rename_block_name]
    type = RenameBlockGenerator
    input = cmg
    old_block = '0 1 2'
    new_block = 'wall_block spacer_block porous_block'
  []

  [solid_fluid_interface_1]
    type = SideSetsBetweenSubdomainsGenerator
    input = rename_block_name
    primary_block = porous_block
    paired_block = wall_block
    new_boundary = 'solid_fluid_interface'
  []

  [solid_fluid_interface_2]
    type = SideSetsBetweenSubdomainsGenerator
    input = solid_fluid_interface_1
    primary_block = spacer_block
    paired_block = wall_block
    new_boundary = 'solid_fluid_interface'
  []

  [wall_left_boundary_1]
    type = SideSetsFromBoundingBoxGenerator
    input = solid_fluid_interface_2
    bottom_left = '0 0 0'
    top_right = '0.1 0.0127 0'
    included_boundaries = left
    boundary_new = wall_left
  []

  [wall_left_boundary_2]
    type = SideSetsFromBoundingBoxGenerator
    input = wall_left_boundary_1
    bottom_left = '0 2.9857 0'
    top_right = '0.1 2.9984 0'
    included_boundaries = left
    boundary_new = wall_left
  []

  [fluid_left_boundary]
    type = SideSetsFromBoundingBoxGenerator
    input = wall_left_boundary_2
    bottom_left = '0 0.0127 0'
    top_right = '0.1 2.9857 0'
    included_boundaries = left
    boundary_new = fluid_left
  []

  coord_type = RZ
  rz_coord_axis = Y
[]

[UserObjects]
  [rc]
    type = PINSFVRhieChowInterpolator
    u = superficial_vel_x
    v = superficial_vel_y
    pressure = pressure
    porosity = porosity
    block = 'spacer_block porous_block'
  []
[]

[Variables]
  [superficial_vel_x]
    type = PINSFVSuperficialVelocityVariable
    block = 'spacer_block porous_block'
  []

  [superficial_vel_y]
    type = PINSFVSuperficialVelocityVariable
    block = 'spacer_block porous_block'
  []

  [pressure]
    type = INSFVPressureVariable
    block = 'spacer_block porous_block'
  []

  [T_fluid]
    type = INSFVEnergyVariable
    block = 'spacer_block porous_block'
  []

  [lambda]
    family = SCALAR
    order = FIRST
    block = 'spacer_block porous_block'
  []
[]

[AuxVariables]
  [porosity]
    type = MooseVariableFVReal
    block = 'spacer_block porous_block'
  []
[]

[FVKernels]
  # No mass time derivative because imcompressible (derivative = 0)
  [mass]
    type = PINSFVMassAdvection
    variable = pressure
    rho = ${rho_fluid}
    block = 'spacer_block porous_block'
  []

  [mean_zero_pressure]
    type = FVIntegralValueConstraint
    variable = pressure
    lambda = lambda
    block = 'spacer_block porous_block'
  []

  [u_advection]
    type = PINSFVMomentumAdvection
    variable = superficial_vel_x
    rho = ${rho_fluid}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_viscosity]
    type = PINSFVMomentumDiffusion
    variable = superficial_vel_x
    mu = ${mu}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_pressure]
    type = PINSFVMomentumPressure
    variable = superficial_vel_x
    momentum_component = 'x'
    pressure = pressure
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_buoyancy]
    type = PINSFVMomentumBoussinesq
    variable = superficial_vel_x
    T_fluid = T_fluid
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    ref_temperature = ${T_cold}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [u_gravity]
    type = PINSFVMomentumGravity
    variable = superficial_vel_x
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    momentum_component = 'x'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_advection]
    type = PINSFVMomentumAdvection
    variable = superficial_vel_y
    rho = ${rho_fluid}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_viscosity]
    type = PINSFVMomentumDiffusion
    variable = superficial_vel_y
    mu = ${mu}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_pressure]
    type = PINSFVMomentumPressure
    variable = superficial_vel_y
    momentum_component = 'y'
    pressure = pressure
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_buoyancy]
    type = PINSFVMomentumBoussinesq
    variable = superficial_vel_y
    T_fluid = T_fluid
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    ref_temperature = ${T_cold}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [v_gravity]
    type = PINSFVMomentumGravity
    variable = superficial_vel_y
    gravity = '0 -1 0'
    rho = ${rho_fluid}
    momentum_component = 'y'
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [temp_conduction]
    type = PINSFVEnergyDiffusion
    k = 'k_fluid'
    variable = T_fluid
    block = 'spacer_block porous_block'
    porosity = porosity
  []

  [temp_advection]
    type = PINSFVEnergyAdvection
    variable = T_fluid
    block = 'spacer_block porous_block'
  []

  [heat_source]
    type = FVBodyForce
    variable = T_fluid
    function = ${Q}
    block = 'porous_block'
  []
[]

[FVBCs]
  [no_slip_x]
    type = INSFVNoSlipWallBC
    variable = superficial_vel_x
    boundary = 'solid_fluid_interface'
    function = 0
  []

  [no_slip_y]
    type = INSFVNoSlipWallBC
    variable = superficial_vel_y
    boundary = 'solid_fluid_interface'
    function = 0
  []

  [reflective_x]
    type = INSFVSymmetryVelocityBC
    variable = superficial_vel_x
    boundary = fluid_left
    momentum_component = 'x'
    mu = ${mu}
    u = superficial_vel_x
    v = superficial_vel_y
  []

  [reflective_y]
    type = INSFVSymmetryVelocityBC
    variable = superficial_vel_y
    boundary = fluid_left
    momentum_component = 'y'
    mu = ${mu}
    u = superficial_vel_x
    v = superficial_vel_y
  []

  [reflective_p]
    type = INSFVSymmetryPressureBC
    boundary = fluid_left
    variable = pressure
  []

  [T_reflective]
    type = FVNeumannBC
    variable = T_fluid
    boundary = fluid_left
    value = 0
  []

  [T_cold_boundary]
    type = FVDirichletBC
    variable = T_fluid
    boundary = solid_fluid_interface
    value = ${T_cold}
  []
[]

[ICs]
  [porosity_spacer]
    type = ConstantIC
    variable = porosity
    block = spacer_block
    value = 1.0
  []

  [porosity_fuel]
    type = ConstantIC
    variable = porosity
    block = porous_block
    value = 0.1
  []

  [temp_ic_fluid]
    type = ConstantIC
    variable = T_fluid
    value = ${T_cold}
    block = 'spacer_block porous_block'
  []

  [superficial_vel_x]
    type = ConstantIC
    variable = superficial_vel_x
    value = 1E-5
    block = 'spacer_block porous_block'
  []

  [superficial_vel_y]
    type = ConstantIC
    variable = superficial_vel_y
    value = 1E-5
    block = 'spacer_block porous_block'
  []
[]

[FunctorMaterials]
  [functor_constants_fluid]
    type = ADGenericFunctorMaterial
    prop_names = 'alpha_b cp k_fluid'
    prop_values = '${alpha} ${cp_fluid} ${k_fluid}'
    block = 'spacer_block porous_block'
  []

  [density_fluid]
    type = INSFVEnthalpyFunctorMaterial
    temperature = 'T_fluid'
    rho = ${rho_fluid}
    block = 'spacer_block porous_block'
  []

  [functor_constants_steel]
    # We need this to avoid errors for materials not existing on every block
    type = ADGenericFunctorMaterial
    prop_names = 'dummy'
    prop_values = 0.0
    block = wall_block
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = none
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/open_gap_pressure_dependent.i)

## Units in the input file: m-Pa-s-K

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmax = 1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmin = 1.0001
    xmax = 2.0001
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
[]

[Variables]
  [disp_x]
    block = 'left_block right_block'
  []
  [disp_y]
    block = 'left_block right_block'
  []
  [temperature]
    initial_condition = 525.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[Physics]
  [SolidMechanics/QuasiStatic]
    [steel]
      strain = SMALL
      add_variables = false
      use_automatic_differentiation = true
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'left_block'
    []
    [aluminum]
      strain = SMALL
      add_variables = false
      use_automatic_differentiation = true
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'right_block'
    []
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    block = 'right_block'
  []
[]

[BCs]
  [fixed_bottom_edge]
    type = ADDirichletBC
    variable = disp_y
    value = 0
    boundary = 'moving_block_bottom fixed_block_bottom'
  []
  [fixed_outer_edge]
    type = ADDirichletBC
    variable = disp_x
    value = 0
    boundary = 'fixed_block_right'
  []
  [pressure_left_block]
    type = ADPressure
    variable = disp_x
    boundary = 'moving_block_left'
    component = 0
    function = 1*t
  []
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 800
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 250
    boundary = 'fixed_block_right'
  []
[]

[Contact]
  [interface]
    primary = moving_block_right
    secondary = fixed_block_left
    model = frictionless
    formulation = mortar
    correct_edge_dropping = true
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed'
    use_displaced_mesh = true
  []
[]

[Materials]
  [steel_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
    poissons_ratio = 0.29
    block = 'left_block'
  []
  [steel_stress]
    type = ADComputeLinearElasticStress
    block = 'left_block'
  []
  [steel_density]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density'
    prop_values = 8e3 #in kg/m^3, stainless steel 304
    block = 'left_block'
  []
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_thermal_conductivity steel_heat_capacity steel_emissivity'
    prop_values = '16.2 0.5 0.6' ## for stainless steel 304
    block = 'left_block'
  []

  [aluminum_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
    poissons_ratio = 0.36
    block = 'right_block'
  []
  [aluminum_stress]
    type = ADComputeLinearElasticStress
    block = 'right_block'
  []
  [aluminum_density]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density'
    prop_values = 2.7e3 #in kg/m^3, stainless steel 304
    block = 'right_block'
  []
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_thermal_conductivity aluminum_heat_capacity aluminum_emissivity'
    prop_values = '210 0.9 0.25'
    block = 'right_block'
  []
[]

[UserObjects]
  [closed]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    primary_hardness = 1.0
    secondary_hardness = 1.0
    boundary = moving_block_right
    contact_pressure = interface_normal_lm
  []
[]

[Postprocessors]
  [steel_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 245
    variable = temperature
  []
  [aluminum_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 657
    variable = temperature
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
  [steel_element_interface_stress]
    type = ElementalVariableValue
    variable = vonmises_stress
    elementid = 199
  []
  [aluminum_element_interface_stress]
    type = ElementalVariableValue
    variable = vonmises_stress
    elementid = 560
  []
[]


[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_first/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/meshgenerators/stitch_mesh_generator/stitch_block_names.i)

[Mesh]
  [mesh1]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
    subdomain_ids = '0 0
                     0 0'
  []
  [mesh2]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
    subdomain_ids = '1 1
                     1 1'
  []
  [shift]
    type = TransformGenerator
    input = mesh2
    transform = translate
    vector_value = '1 0 0'
  []
  [give_name]
    type = RenameBlockGenerator
    input = shift
    old_block = 1
    new_block = 'a_nice_name'
  []
  [stitch]
    type = StitchMeshGenerator
    inputs = 'mesh1 give_name'
    stitch_boundaries_pairs = 'right left'
  []
[]

(modules/heat_transfer/test/tests/meshed_gap_thermal_contact/meshed_annulus_thermal_contact.i)

[Mesh]
  [fmesh]
    type = FileMeshGenerator
    file = meshed_annulus.e
  []
  [rename]
    type = RenameBlockGenerator
    input = fmesh
    old_block = '1 2 3'
    new_block = '1 4 3'
  []
[]

[Variables]
  [./temp]
    block = '1 3'
    initial_condition = 1.0
  [../]
[]

[Kernels]
  [./hc]
    type = HeatConduction
    variable = temp
    block = '1 3'
  [../]
  [./source]
    type = HeatSource
    variable = temp
    block = 3
    value = 10.0
  [../]
[]

[BCs]
  [./outside]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 1.0
  [../]
[]

[ThermalContact]
  [./gap_conductivity]
    type = GapHeatTransfer
    variable = temp
    primary = 2
    secondary = 3
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 0.5
  [../]
[]

[Materials]
  [./hcm]
    type = HeatConductionMaterial
    block = '1 3'
    temp = temp
    thermal_conductivity = 1
  [../]
[]

[Problem]
  type = FEProblem
  kernel_coverage_check = false
  material_coverage_check = false
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_no_action.i)

[Problem]
  kernel_coverage_check = false
[]

[Mesh]
  type = MeshGeneratorMesh

  [./cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 1.3 1.9'
    ix = '3 3 3'
    dy = '2 1.2 0.9'
    iy = '3 3 3'
    subdomain_id = '0 1 0
                    4 5 2
                    0 3 0'
  [../]

  [./inner_bottom]
    type = SideSetsBetweenSubdomainsGenerator
    input = cmg
    primary_block = 1
    paired_block = 5
    new_boundary = 'inner_bottom'
  [../]

  [./inner_left]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_bottom
    primary_block = 4
    paired_block = 5
    new_boundary = 'inner_left'
  [../]

  [./inner_right]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_left
    primary_block = 2
    paired_block = 5
    new_boundary = 'inner_right'
  [../]

  [./inner_top]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_right
    primary_block = 3
    paired_block = 5
    new_boundary = 'inner_top'
  [../]

  [./rename]
    type = RenameBlockGenerator
    old_block = '1 2 3 4'
    new_block = '0 0 0 0'
    input = inner_top
  [../]

  [./split_inner_bottom]
    type = PatchSidesetGenerator
    boundary = 4
    n_patches = 2
    partitioner = centroid
    centroid_partitioner_direction = x
    input = rename
  [../]

  [./split_inner_left]
    type = PatchSidesetGenerator
    boundary = 5
    n_patches = 2
    partitioner = centroid
    centroid_partitioner_direction = y
    input = split_inner_bottom
  [../]

  [./split_inner_right]
    type = PatchSidesetGenerator
    boundary = 6
    n_patches = 2
    partitioner = centroid
    centroid_partitioner_direction = y
    input = split_inner_left
  [../]

  [./split_inner_top]
    type = PatchSidesetGenerator
    boundary = 7
    n_patches = 3
    partitioner = centroid
    centroid_partitioner_direction = x
    input = split_inner_right
  [../]
[]

[Variables]
  [./temperature]
    block = 0
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 0
    diffusion_coefficient = 5
  [../]
[]

[UserObjects]
  [./gray_lambert]
    type = ViewFactorObjectSurfaceRadiation
    boundary = 'inner_bottom_0 inner_bottom_1
                inner_left_0 inner_left_1
                inner_right_0 inner_right_1
                inner_top_0 inner_top_1 inner_top_2'
    fixed_temperature_boundary = 'inner_bottom_0 inner_bottom_1'
    fixed_boundary_temperatures = '1200          1200'
    adiabatic_boundary = 'inner_top_0 inner_top_1 inner_top_2'
    emissivity = '0.9 0.9
                  0.8 0.8
                  0.4 0.4
                  1 1 1'
    temperature = temperature
    view_factor_object_name = view_factor
    execute_on = 'LINEAR TIMESTEP_END'
  [../]

  [./view_factor]
    type = UnobstructedPlanarViewFactor
    boundary = 'inner_bottom_0 inner_bottom_1
                inner_left_0 inner_left_1
                inner_right_0 inner_right_1
                inner_top_0 inner_top_1 inner_top_2'
    normalize_view_factor = true
    execute_on = 'INITIAL'
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = temperature
    boundary = left
    value = 600
  [../]

  [./right]
    type = DirichletBC
    variable = temperature
    boundary = right
    value = 300
  [../]

  [./radiation]
    type = GrayLambertNeumannBC
    variable = temperature
    surface_radiation_object_name = gray_lambert
    boundary = 'inner_left_0 inner_left_1
                inner_right_0 inner_right_1'
  [../]
[]

[Postprocessors]
  [./average_T_inner_right]
    type = SideAverageValue
    variable = temperature
    boundary = inner_right
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics-light.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.1
    displacements = 'disp_x disp_y disp_z'
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    newmark_beta = 0.25
    newmark_gamma = 0.5
    correct_edge_dropping = true
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-14'
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  line_search = 'basic'
  [TimeIntegrator]
    type = NewmarkBeta
    gamma = 0.5
    beta = 0.25
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/heat_transfer/test/tests/radiation_transfer_action/radiative_transfer_action.i)

[Problem]
  kernel_coverage_check = false
[]

[Mesh]
  type = MeshGeneratorMesh

  [./cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1 1.3 1.9'
    ix = '3 3 3'
    dy = '2 1.2 0.9'
    iy = '3 3 3'
    subdomain_id = '0 1 0
                    4 5 2
                    0 3 0'
  [../]

  [./inner_bottom]
    type = SideSetsBetweenSubdomainsGenerator
    input = cmg
    primary_block = 1
    paired_block = 5
    new_boundary = 'inner_bottom'
  [../]

  [./inner_left]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_bottom
    primary_block = 4
    paired_block = 5
    new_boundary = 'inner_left'
  [../]

  [./inner_right]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_left
    primary_block = 2
    paired_block = 5
    new_boundary = 'inner_right'
  [../]

  [./inner_top]
    type = SideSetsBetweenSubdomainsGenerator
    input = inner_right
    primary_block = 3
    paired_block = 5
    new_boundary = 'inner_top'
  [../]

  [./rename]
    type = RenameBlockGenerator
    old_block = '1 2 3 4'
    new_block = '0 0 0 0'
    input = inner_top
  [../]
[]

[Variables]
  [./temperature]
    block = 0
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 0
    diffusion_coefficient = 5
  [../]
[]

[GrayDiffuseRadiation]
  [./cavity]
    boundary = '4 5 6 7'
    emissivity = '0.9 0.8 0.4 1'
    n_patches = '2 2 2 3'
    partitioners = 'centroid centroid centroid centroid'
    centroid_partitioner_directions = 'x y y x'
    temperature = temperature
    adiabatic_boundary = '7'
    fixed_temperature_boundary = '4'
    fixed_boundary_temperatures = '1200'
    view_factor_calculator = analytical
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = temperature
    boundary = left
    value = 600
  [../]

  [./right]
    type = DirichletBC
    variable = temperature
    boundary = right
    value = 300
  [../]
[]

[Postprocessors]
  [./average_T_inner_right]
    type = SideAverageValue
    variable = temperature
    boundary = inner_right
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(test/tests/meshgenerators/cyclic/cyclic.i)

[Mesh]
  [ccmg]
    type = ConcentricCircleMeshGenerator
    num_sectors = 6
    radii = '0.2546 0.3368'
    rings = '4 3 4'
    has_outer_square = on
    pitch = 1
    preserve_volumes = off
    smoothing_max_it = 3
  []
  [rename_left]
    type = RenameBoundaryGenerator
    input = ccmg
    old_boundary = 'left'
    new_boundary = '101'
  []
  [left]
    type = CartesianMeshGenerator
    dim = 2
    dx = '5'
    dy = '1'
    ix = '100'
    iy = '16'
  []
  [move_it]
    type = TransformGenerator
    input = left
    transform = translate
    vector_value = '-5.5 -0.5 0'
  []
  [rename_middle]
    type = RenameBoundaryGenerator
    input = move_it
    old_boundary = 'right'
    new_boundary = '102'
  []
  [stitch]
    type = StitchedMeshGenerator
    inputs = 'rename_left rename_middle'
    stitch_boundaries_pairs = '101 102'
  []
  [in_between]
    type = SideSetsBetweenSubdomainsGenerator
    input = stitch
    primary_block = 2
    paired_block = 1
    new_boundary = 'no_circle'
  []
  [delete]
    type = BlockDeletionGenerator
    input = in_between
    block = '1'
  []
  [create_fused_top_sideset_l]
    input = delete
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y > 0.49'
    normal = '0 1 0'
    new_sideset_name = 103
  []
  [top_left_block]
    type = GeneratedMeshGenerator
    xmin = -5.5
    xmax = -0.5
    ymin = 0.5
    ymax = ${fparse 0.5 + 2. / 16.}
    nx = 100
    ny = 2
    dim = 2
  []
  [rename_top_left_block]
    input = top_left_block
    type = RenameBlockGenerator
    old_block = '0'
    new_block = '100'
  []
  [rename_middle_2]
    input = rename_top_left_block
    type = RenameBoundaryGenerator
    old_boundary = 'right'
    new_boundary = '104'
  []
  [top_middle_block]
    type = GeneratedMeshGenerator
    xmin = -0.5
    xmax = 0.5
    ymin = 0.5
    ymax = ${fparse 0.5 + 2. / 16.}
    nx = 16
    ny = 2
    dim = 2
  []
  [rename_top_middle_block]
    input = top_middle_block
    type = RenameBlockGenerator
    old_block = '0'
    new_block = '101'
  []
  [rename_left_2]
    input = rename_top_middle_block
    type = RenameBoundaryGenerator
    old_boundary = 'left'
    new_boundary = '105'
  []
  [stitch_2]
    inputs = 'rename_middle_2 rename_left_2'
    type = StitchedMeshGenerator
    stitch_boundaries_pairs = '104 105'
  []
  [create_fused_bottom_sideset]
    input = stitch_2
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y < 0.51'
    normal = '0 -1 0'
    new_sideset_name = 106
  []
  [stitch_3]
    inputs = 'create_fused_top_sideset_l create_fused_bottom_sideset'
    type = StitchedMeshGenerator
    stitch_boundaries_pairs = '103 106'
  []
  [rename_extension]
    type = RenameBoundaryGenerator
    input = no_slip_bottom
    old_boundary = 'extension'
    new_boundary = '111'
  []
  [extension]
    type = CartesianMeshGenerator
    dim = 2
    dx = '5'
    dy = '1'
    ix = '100'
    iy = '16'
  []
  [move_it_2]
    type = TransformGenerator
    input = extension
    transform = translate
    vector_value = '5.5 -0.5 0'
  []
  [stitch_4]
    inputs = 'rename_middle rename_extension'
    type = StitchedMeshGenerator
    stitch_boundaries_pairs = '102 111'
  []
  [create_fused_top_sideset_r]
    input = stitch_4
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y > .49'
    normal = '0 1 0'
    new_sideset_name = 113
  []
  [top_right_block]
    type = GeneratedMeshGenerator
    xmin = 0.5
    xmax = 5.5
    ymin = 0.5
    ymax = ${fparse 0.5 + 2. / 16.}
    nx = 100
    ny = 2
    dim = 2
  []
  [rename_top_right_block]
    input = top_right_block
    type = RenameBlockGenerator
    old_block = 'top_right_block'
    new_block = '110'
  []
  [rename_extension_2]
    input = rename_top_right_block
    type = RenameBoundaryGenerator
    old_boundary = 'rename_extension'
    new_boundary = '115'
  []
  [stitch_5]
    inputs = 'rename_middle_2 rename_extension_2'
    type = StitchedMeshGenerator
    stitch_boundaries_pairs = '104 115'
  []
  [stitch_6]
    inputs = 'create_fused_bottom_sideset create_fused_top_sideset_r'
    type = StitchedMeshGenerator
    stitch_boundaries_pairs = '106 113'
  []
  [no_slip_top]
    input = stitch_6
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y > .615'
    normal = '0 1 0'
    new_sideset_name = 'no_slip_top'
  []
  [no_slip_bottom]
    input = no_slip_top
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y < -0.49'
    normal = '0 -1 0'
    new_sideset_name = 'no_slip_bottom'
  []
  [inlet]
    input = no_slip_bottom
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x > 5.49'
    normal = '1 0 0'
    new_sideset_name = 'inlet'
  []
  [outlet]
    input = inlet
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x < -5.49'
    normal = '-1 0 0'
    new_sideset_name = 'outlet'
  []
[]

(modules/heat_transfer/test/tests/interface_heating_mortar/constraint_joule_heating_offset_single_material_insulated.i)

## Units in the input file: m-Pa-s-K-V

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 100
    xmax = 0.1
    ymin = 0.1
    ymax = 0.35
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 100
    xmin = 0.1
    xmax = 0.2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Variables]
  [temperature]
    initial_condition = 300.0
  []
  [potential]
  []
  [potential_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 1.0
  []
[]

[Kernels]
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block right_block'
  []
  [electric_aluminum]
    type = ADMatDiffusion
    variable = potential
    diffusivity = aluminum_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'fixed_block_right'
  []

  [electric_left]
    type = ADDirichletBC
    variable = potential
    value = 0.0
    boundary = moving_block_left
  []
  [electric_right]
    type = ADDirichletBC
    variable = potential
    value = 3.0e-1
    boundary = fixed_block_right
  []
[]

[Constraints]
  [electrical_contact]
    type = ModularGapConductanceConstraint
    variable = potential_interface_lm
    secondary_variable = potential
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_electric'
    correct_edge_dropping = true
  []
  [interface_heating]
    type = ADInterfaceJouleHeatingConstraint
    potential_lagrange_multiplier = potential_interface_lm
    secondary_variable = temperature
    primary_electrical_conductivity = aluminum_electrical_conductivity
    secondary_electrical_conductivity = aluminum_electrical_conductivity
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
  []
[]

[Materials]
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_electrical_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                           900.0                   3.7e7                           1.0' #for 99% pure Al
    block = 'left_block right_block interface_secondary_subdomain'
  []
[]

[UserObjects]
  [closed_electric]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = aluminum_electrical_conductivity
    secondary_conductivity = aluminum_electrical_conductivity
    temperature = potential
    contact_pressure = interface_normal_lm
    primary_hardness = aluminum_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [interface_heat_flux_large_block]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
  [interface_heat_flux_small_block]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = aluminum_thermal_conductivity
  []
  [interface_electrical_flux_large_block]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = fixed_block_left
    diffusivity = aluminum_electrical_conductivity
  []
  [interface_electrical_flux_small_block]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = moving_block_right
    diffusivity = aluminum_electrical_conductivity
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  nl_abs_tol = 2e-10
  nl_rel_tol = 1e-6
  nl_max_its = 50
  nl_forced_its = 1
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_second/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e3
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   mumps'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2drz/ad_frictionless_first/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
    extra_vector_tags = 'ref'
  []
  [plank]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ADComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = ADGenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/subchannel/examples/duct/wrapper.i)

# a wrapper mesh for coupling to subchannel

# sqrt(3) / 2 is by how much flat to flat is smaller than corer to corner
f = '${fparse sqrt(3) / 2}'

# units are meters
height = 1.0
duct_inside = 0.085
wrapper_thickness = 0.002
duct_outside = '${fparse duct_inside + 2 * wrapper_thickness}'

# number of radial elements in the wrapper
n_radial = 4

# number of azimuthal elements per side
n_az = 4

# number of axial elements
n_ax = 10

# System variables
T_in = 660
[DefaultElementQuality]
  failure_type = warning
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [bisonMesh]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '${n_az} ${n_az} ${n_az} ${n_az} ${n_az} ${n_az}'
    background_intervals = 1
    background_block_ids = '1'
    # note that polygon_size is "like radius"
    polygon_size = '${fparse duct_outside / 2}'
    duct_sizes = '${fparse duct_inside / 2 / f}'
    duct_intervals = '${n_radial}'
    duct_block_ids = '2'
    # interface_boundary_names = 'inside'
    external_boundary_name = 'outside'
  []

  [extrude]
    type = AdvancedExtruderGenerator
    # type = FancyExtruderGenerator
    direction = '0 0 1'
    input = bisonMesh
    heights = '${height}'
    num_layers = '${n_ax}'
  []

  [inlet_boundary]
    type = ParsedGenerateSideset
    input = extrude
    combinatorial_geometry = 'z < 1e-6'
    normal = '0 0 -1'
    new_sideset_name = 'inlet'
  []

  [outlet_boundary]
    type = ParsedGenerateSideset
    input = inlet_boundary
    combinatorial_geometry = 'z > ${fparse height - 1e-6}'
    normal = '0 0 1'
    new_sideset_name = 'outlet'
  []

  [inside_boundary]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 2
    paired_block = 1
    new_boundary = 'inside'
    input = outlet_boundary
  []

  [remove]
    type = BlockDeletionGenerator
    block = 1
    input = inside_boundary
  []

  [rename]
    type = RenameBlockGenerator
    input = remove
    old_block = '2'
    new_block = 'wrapper'
  []

  [rotate]
    type = TransformGenerator
    input = rename
    transform = ROTATE
    vector_value = '30 0 0'
  []

  coord_type = XYZ
[]

[Functions]
  [volumetric_heat_rate]
    type = ParsedFunction
    expression = '1.0*H'
    symbol_names = 'H'
    symbol_values = '${height}'
  []
[]

[Variables]
  [temperature]
    order = FIRST
    family = LAGRANGE
  []
[]

[Modules]

  [TensorMechanics]

    [Master]
      add_variables = true
      strain = SMALL
      incremental = true
      generate_output = 'stress_xx stress_yy stress_xy'
      temperature = temperature

      [block0]
        eigenstrain_names = eigenstrain
        block = wrapper
      []
    []
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = temperature
  []
  [heat_source]
    type = HeatSource
    variable = temperature
    function = volumetric_heat_rate
  []
[]

[AuxVariables]
  [q_prime]
    order = CONSTANT
    family = MONOMIAL
  []
  [duct_surface_temperature]
  []
  [disp_magnitude]
  []
[]

[AuxKernels]
  [QPrime]
    type = SCMTriDuctQPrimeAux
    diffusivity = 'thermal_conductivity'
    flat_to_flat = '${fparse duct_inside}'
    variable = q_prime
    diffusion_variable = temperature
    component = normal
    boundary = 'inside'
    execute_on = 'timestep_end'
  []
  [Deformation]
    type = ParsedAux
    variable = disp_magnitude
    coupled_variables = 'disp_x disp_y disp_z'
    expression = 'sqrt(disp_x^2 + disp_y^2 + disp_z^2)'
    execute_on = 'timestep_end'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = wrapper
    bulk_modulus = 0.333333333333e6
    poissons_ratio = 0.0
  []
  [thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    block = wrapper
    temperature = temperature
    stress_free_temperature = ${T_in}
    thermal_expansion_coeff = 1e-5
    eigenstrain_name = eigenstrain
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
    block = wrapper
  []
  [heat_conductor]
    type = HeatConductionMaterial
    thermal_conductivity = 1.0
    block = wrapper
  []
  [density]
    type = Density
    block = wrapper
    density = 1.0
  []
[]

[BCs]
  [isolated_bc]
    type = NeumannBC
    variable = temperature
    boundary = 'inlet outlet'
  []
  [inside_bc]
    type = MatchedValueBC
    variable = temperature
    boundary = 'inside'
    v = duct_surface_temperature
  []
  [outside_bc]
    type = DirichletBC
    variable = temperature
    boundary = 'outside'
    value = '${fparse T_in+10}'
  []

  [no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'inlet outlet'
    value = 0.0
  []

  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'inlet outlet'
    value = 0.0
  []

  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'inlet'
    value = 0.0
  []
[]

[ICs]
  [temperature_ic]
    type = ConstantIC
    variable = temperature
    value = ${T_in}
  []
  [q_prime_ic]
    type = ConstantIC
    variable = q_prime
    value = 0.0
  []
[]

[UserObjects]
  [q_prime_uo]
    type = LayeredSideAverage
    boundary = 'inside'
    variable = q_prime
    num_layers = 1000
    direction = z
    execute_on = 'TIMESTEP_END'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu superlu_dist'

  [Quadrature]
    order = THIRD
    side_order = FOURTH
  []
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictional/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictional]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    model = coulomb
    c_normal = 1e0
    c_tangential = 1e-6
    friction_coefficient = 0.1
    tangential_lm_scaling = 1.0e-15
  []
[]

[BCs]
  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
    preset = false
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
    preset = false
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu        NONZERO               1e-15'
  end_time = 5.3
  dt = 0.12
  dtmin = 0.12
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_div_tol = 1e100
  nl_abs_tol = 1e-7
  automatic_scaling = true
  compute_scaling_once = false
  ignore_variables_for_autoscaling = 'frictional_normal_lm frictional_tangential_lm'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictional_normal_lm
    subdomain = frictional_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_first/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/tutorial/05_tabulated.i)

# Darcy flow with heat advection and conduction, using Water97 properties
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
    initial_condition = 1E6
  []
  [temperature]
    initial_condition = 313
    scaling = 1E-8
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = ThermoHydro
  gravity = '0 0 0'
  fp = tabulated_water
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 2E6
    boundary = injection_area
  []
  [constant_injection_temperature]
    type = DirichletBC
    variable = temperature
    value = 333
    boundary = injection_area
  []
[]

[FluidProperties]
  [true_water]
    type = Water97FluidProperties
  []
  [tabulated_water]
    type = TabulatedFluidProperties
    fp = true_water
    temperature_min = 275
    interpolated_properties = 'density viscosity enthalpy internal_energy'
    fluid_property_output_file = water97_tabulated.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = water97_tabulated.csv
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2E-7
    fluid_bulk_modulus = 1E7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []

  [thermal_expansion]
    type = PorousFlowConstantThermalExpansionCoefficient
    biot_coefficient = 0.8
    drained_coefficient = 0.003
    fluid_coefficient = 0.0002
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 2500.0
    specific_heat_capacity = 1200.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '10 0 0  0 10 0  0 0 10'
    block = 'caps aquifer'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-10
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_aux_kernels/frictional-mortar-3d-status.i)

starting_point = 0.04
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
  [frictional_status]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_x
    component = 0
    boundary = 'top_bottom'
  []
  [friction_y_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_y
    component = 1
    boundary = 'top_bottom'
  []
  [friction_z_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_z
    component = 2
    boundary = 'top_bottom'
  []
  [frictional_state]
    type = MortarFrictionalStateAux
    tangent_one = mortar_tangential_lm
    boundary = 'top_bottom'
    contact_pressure = mortar_normal_lm
    variable = frictional_status
    mu = 0.4
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e2
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e2
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e2
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e2
    # We should try with nonzero Poisson ratio
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e1
    c_t = 1.0e1
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top_top'
    function = '0.16*t'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top_top'
    function = '0.1*t'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 0.4 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.1
  dt = .02
  dtmin = .02
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type  -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO                 1e-13                  1e-7'
  l_max_its = 15
  nl_max_its = 90
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(test/tests/meshgenerators/mesh_repair_generator/flip_element.i)

[Mesh]
  [dir1]
    type = ElementGenerator
    nodal_positions = '0 0 0
                     1 0 0
                     0 1 0'
    element_connectivity = '0 1 2'
    elem_type = 'TRI3'
  []
  [rename]
    type = RenameBlockGenerator
    input = dir1
    old_block = 0
    new_block = 1
  []
  [dir2]
    type = ElementGenerator
    nodal_positions = '0 0 0
                     1 0 0
                     0 1 0'
    element_connectivity = '0 2 1'
    elem_type = 'TRI3'
  []
  [combine]
    type = CombinerGenerator
    inputs = 'dir2 rename'
  []
  [extrude]
    type = MeshExtruderGenerator
    input = combine
    extrusion_vector = '0 0 1'
  []
  [flip]
    type = MeshRepairGenerator
    input = extrude
    fix_elements_orientation = true
  []
[]

[Problem]
  solve = false
[]

[Executioner]
  type = Steady
[]

[Postprocessors]
  [vol0]
    type = VolumePostprocessor
    block = 0
  []
  [vol1]
    type = VolumePostprocessor
    block = 1
  []
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/mortar_tm/2drz/ad_frictionless_second/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
    extra_vector_tags = 'ref'
  []
  [plank]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    value = 0
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ADComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = ADGenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/nodal_patch_recovery/npr_with_lower_domains.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_yy]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = false
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = HeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = HeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 0.4
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
  [stress_xx_recovered]
    type = ElementExtremeValue
    variable = stress_xx_recovered
    block = 'block'
    value_type = max
  []
  [stress_yy_recovered]
    type = ElementExtremeValue
    variable = stress_yy_recovered
    block = 'block'
    value_type = max
  []
[]

[Outputs]
  exodus = true
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/tutorial/11_2D.i)

# Two-phase borehole injection problem in RZ coordinates
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    xmin = 1.0
    xmax = 10
    bias_x = 1.4
    ny = 3
    ymin = -6
    ymax = 6
  []
  [aquifer]
    input = gen
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 -2 0'
    top_right = '10 2 0'
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x<1.0001'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
  coord_type = RZ
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'pwater pgas T disp_r'
    number_fluid_phases = 2
    number_fluid_components = 2
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 1E-6
    m = 0.6
  []
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  gravity = '0 0 0'
  biot_coefficient = 1.0
  PorousFlowDictator = dictator
[]

[Variables]
  [pwater]
    initial_condition = 20E6
  []
  [pgas]
    initial_condition = 20.1E6
  []
  [T]
    initial_condition = 330
    scaling = 1E-5
  []
  [disp_r]
    scaling = 1E-5
  []
[]

[Kernels]
  [mass_water_dot]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pwater
  []
  [flux_water]
    type = PorousFlowAdvectiveFlux
    fluid_component = 0
    use_displaced_mesh = false
    variable = pwater
  []
  [vol_strain_rate_water]
    type = PorousFlowMassVolumetricExpansion
    fluid_component = 0
    variable = pwater
  []
  [mass_co2_dot]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = pgas
  []
  [flux_co2]
    type = PorousFlowAdvectiveFlux
    fluid_component = 1
    use_displaced_mesh = false
    variable = pgas
  []
  [vol_strain_rate_co2]
    type = PorousFlowMassVolumetricExpansion
    fluid_component = 1
    variable = pgas
  []
  [energy_dot]
    type = PorousFlowEnergyTimeDerivative
    variable = T
  []
  [advection]
    type = PorousFlowHeatAdvection
    use_displaced_mesh = false
    variable = T
  []
  [conduction]
    type = PorousFlowHeatConduction
    use_displaced_mesh = false
    variable = T
  []
  [vol_strain_rate_heat]
    type = PorousFlowHeatVolumetricExpansion
    variable = T
  []
  [grad_stress_r]
    type = StressDivergenceRZTensors
    temperature = T
    variable = disp_r
    eigenstrain_names = thermal_contribution
    use_displaced_mesh = false
    component = 0
  []
  [poro_r]
    type = PorousFlowEffectiveStressCoupling
    variable = disp_r
    use_displaced_mesh = false
    component = 0
  []
[]

[AuxVariables]
  [disp_z]
  []
  [effective_fluid_pressure]
    family = MONOMIAL
    order = CONSTANT
  []
  [mass_frac_phase0_species0]
    initial_condition = 1 # all water in phase=0
  []
  [mass_frac_phase1_species0]
    initial_condition = 0 # no water in phase=1
  []
  [sgas]
    family = MONOMIAL
    order = CONSTANT
  []
  [swater]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_rr]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_tt]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_zz]
    family = MONOMIAL
    order = CONSTANT
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [effective_fluid_pressure]
    type = ParsedAux
    coupled_variables = 'pwater pgas swater sgas'
    expression = 'pwater * swater + pgas * sgas'
    variable = effective_fluid_pressure
  []
  [swater]
    type = PorousFlowPropertyAux
    variable = swater
    property = saturation
    phase = 0
    execute_on = timestep_end
  []
  [sgas]
    type = PorousFlowPropertyAux
    variable = sgas
    property = saturation
    phase = 1
    execute_on = timestep_end
  []
  [stress_rr_aux]
    type = RankTwoAux
    variable = stress_rr
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  []
  [stress_tt]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_tt
    index_i = 2
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 1
    index_j = 1
  []
  [porosity]
    type = PorousFlowPropertyAux
    variable = porosity
    property = porosity
    execute_on = timestep_end
  []
[]

[BCs]
  [pinned_top_bottom_r]
    type = DirichletBC
    variable = disp_r
    value = 0
    boundary = 'top bottom'
  []
  [cavity_pressure_r]
    type = Pressure
    boundary = injection_area
    variable = disp_r
    postprocessor = constrained_effective_fluid_pressure_at_wellbore
    use_displaced_mesh = false
  []

  [cold_co2]
    type = DirichletBC
    boundary = injection_area
    variable = T
    value = 290 # injection temperature
    use_displaced_mesh = false
  []
  [constant_co2_injection]
    type = PorousFlowSink
    boundary = injection_area
    variable = pgas
    fluid_phase = 1
    flux_function = -1E-4
    use_displaced_mesh = false
  []

  [outer_water_removal]
    type = PorousFlowPiecewiseLinearSink
    boundary = right
    variable = pwater
    fluid_phase = 0
    pt_vals = '0 1E9'
    multipliers = '0 1E8'
    PT_shift = 20E6
    use_mobility = true
    use_relperm = true
    use_displaced_mesh = false
  []
  [outer_co2_removal]
    type = PorousFlowPiecewiseLinearSink
    boundary = right
    variable = pgas
    fluid_phase = 1
    pt_vals = '0 1E9'
    multipliers = '0 1E8'
    PT_shift = 20.1E6
    use_mobility = true
    use_relperm = true
    use_displaced_mesh = false
  []
[]

[FluidProperties]
  [true_water]
    type = Water97FluidProperties
  []
  [tabulated_water]
    type = TabulatedBicubicFluidProperties
    fp = true_water
    temperature_min = 275
    pressure_max = 1E8
    fluid_property_output_file = water97_tabulated_11.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = water97_tabulated_11.csv
  []
  [true_co2]
    type = CO2FluidProperties
  []
  [tabulated_co2]
    type = TabulatedBicubicFluidProperties
    fp = true_co2
    temperature_min = 275
    pressure_max = 1E8
    fluid_property_output_file = co2_tabulated_11.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = co2_tabulated_11.csv
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
    temperature = T
  []
  [saturation_calculator]
    type = PorousFlow2PhasePP
    phase0_porepressure = pwater
    phase1_porepressure = pgas
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
  []
  [water]
    type = PorousFlowSingleComponentFluid
    fp = tabulated_water
    phase = 0
  []
  [co2]
    type = PorousFlowSingleComponentFluid
    fp = tabulated_co2
    phase = 1
  []
  [relperm_water]
    type = PorousFlowRelativePermeabilityCorey
    n = 4
    s_res = 0.1
    sum_s_res = 0.2
    phase = 0
  []
  [relperm_co2]
    type = PorousFlowRelativePermeabilityBC
    nw_phase = true
    lambda = 2
    s_res = 0.1
    sum_s_res = 0.2
    phase = 1
  []
  [porosity]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    thermal = true
    porosity_zero = 0.1
    reference_temperature = 330
    reference_porepressure = 20E6
    thermal_expansion_coeff = 15E-6 # volumetric
    solid_bulk = 8E9 # unimportant since biot = 1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityKozenyCarman
    block = aquifer
    poroperm_function = kozeny_carman_phi0
    phi0 = 0.1
    n = 2
    m = 2
    k0 = 1E-12
  []
  [permeability_caps]
    type = PorousFlowPermeabilityKozenyCarman
    block = caps
    poroperm_function = kozeny_carman_phi0
    phi0 = 0.1
    n = 2
    m = 2
    k0 = 1E-15
    k_anisotropy = '1 0 0  0 1 0  0 0 0.1'
  []
  [rock_thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '2 0 0  0 2 0  0 0 2'
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 1100
    density = 2300
  []

  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 5E9
    poissons_ratio = 0.0
  []
  [strain]
    type = ComputeAxisymmetricRZSmallStrain
    eigenstrain_names = 'thermal_contribution initial_stress'
  []
  [thermal_contribution]
    type = ComputeThermalExpansionEigenstrain
    temperature = T
    thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
    eigenstrain_name = thermal_contribution
    stress_free_temperature = 330
  []
  [initial_strain]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '20E6 0 0  0 20E6 0  0 0 20E6'
    eigenstrain_name = initial_stress
  []
  [stress]
    type = ComputeLinearElasticStress
  []

  [effective_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [volumetric_strain]
    type = PorousFlowVolumetricStrain
  []
[]

[Postprocessors]
  [effective_fluid_pressure_at_wellbore]
    type = PointValue
    variable = effective_fluid_pressure
    point = '1 0 0'
    execute_on = timestep_begin
    use_displaced_mesh = false
  []
  [constrained_effective_fluid_pressure_at_wellbore]
    type = FunctionValuePostprocessor
    function = constrain_effective_fluid_pressure
    execute_on = timestep_begin
  []
[]

[Functions]
  [constrain_effective_fluid_pressure]
    type = ParsedFunction
    symbol_names = effective_fluid_pressure_at_wellbore
    symbol_values = effective_fluid_pressure_at_wellbore
    expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E3
  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 1E3
    growth_factor = 1.2
    optimal_iterations = 10
  []
  nl_abs_tol = 1E-7
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/block_w_line.i)

[Mesh]
  parallel_type = 'replicated'
  [block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 50
    nz = 1
    xmin = -0.5
    xmax = 0.5
    ymin = -1.25
    ymax = 1.25
    zmin = -0.04
    zmax = 0.04
    boundary_name_prefix = block
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 1
  []
  [line]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -0.5
    xmax = 0.5
    nx = 10
    boundary_name_prefix = line
    boundary_id_offset = 10
  []
  [line_id]
    type = SubdomainIDGenerator
    input = line
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'block_id line_id'
  []
  [line_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'block line'
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
    block = 'block'
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 'block'
  []
  [time_derivative_line]
    type = TrussHeatConductionTimeDerivative
    variable = temperature
    area = area
    block = 'line'
  []
  [heat_conduction_line]
    type = TrussHeatConduction
    variable = temperature
    area = area
    block = 'line'
  []
[]

[AuxVariables]
  [area]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [area]
    type = ConstantAux
    variable = area
    value = 0.008
    execute_on = 'initial timestep_begin'
  []
[]

[Constraints]
  [equalvalue]
    type = EqualValueEmbeddedConstraint
    secondary = 'line'
    primary = 'block'
    penalty = 1e6
    formulation = kinematic
    primary_variable = temperature
    variable = temperature
  []
[]

[Materials]
  [block]
    type = GenericConstantMaterial
    block = 'block'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '1.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [line]
    type = GenericConstantMaterial
    block = 'line'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '10.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'block_right line_right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [x_n0_25]
    type = LineValueSampler
    start_point = '-0.25 0 0'
    end_point = '-0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
  [x_0_25]
    type = LineValueSampler
    start_point = '0.25 0 0'
    end_point = '0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/block_w_line'
    time_data = true
  []
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/finite_action_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
  converge_on = 'disp_x disp_y temp'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
    extra_vector_tags = 'ref'
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e6
  []
[]

[MortarGapHeatTransfer]
  [mortar_heat_transfer]
   temperature = temp
   use_displaced_mesh = true
   gap_flux_options = conduction
   gap_conductivity = 1
   boundary = plank_right
   primary_boundary = plank_right
   primary_subdomain = frictionless_primary_subdomain
   secondary_boundary = block_left
   secondary_subdomain = frictionless_secondary_subdomain
   thermal_lm_scaling = 1e-7
   gap_geometry_type = PLATE
  []
[]

[BCs]
  [left_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
  nl_abs_tol = 1e-13
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/meshgenerators/block_deletion_generator/block_deletion_test13.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
    xmin = 0
    xmax = 4
    ymin = 0
    ymax = 4
  []

  [SubdomainBoundingBox]
    type = SubdomainBoundingBoxGenerator
    input = gmg
    block_id = 1
    bottom_left = '0 0 0'
    top_right = '3 3 3'
  []

  [rename]
    type = RenameBlockGenerator
    input = SubdomainBoundingBox
    old_block = 1
    new_block = 'my_name'
  []

  [ed0]
    type = BlockDeletionGenerator
    input = rename
    block = 'my_name'
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [dt]
    type = TimeDerivative
    variable = u
  []
  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [top]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 1
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 10
  dt = 10

  solve_type = NEWTON

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/test/tests/actions/basicthm_h.i)

# PorousFlowBasicTHM action with coupling_type = HydroGenerator
# (no thermal or mechanical effects)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 3
    xmax = 10
    ymax = 3
  []
  [aquifer]
    input = gen
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 1 0'
    top_right = '10 2 0'
  []
  [injection_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'injection_area'
    normal = '-1 0 0'
    input = 'aquifer'
  []
  [outflow_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'outflow_area'
    normal = '1 0 0'
    input = 'injection_area'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caprock aquifer'
    input = 'outflow_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
    initial_condition = 1e6
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 293
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = simple_fluid
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1.5e6
    boundary = injection_area
  []
  [constant_outflow_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    boundary = outflow_area
    pt_vals = '0 1e9'
    multipliers = '0 1e9'
    flux_function = 1e-6
    PT_shift = 1e6
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2e-7
    fluid_bulk_modulus = 1e7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1e-13 0 0   0 1e-13 0   0 0 1e-13'
  []
  [permeability_caprock]
    type = PorousFlowPermeabilityConst
    block = caprock
    permeability = '1e-15 0 0   0 1e-15 0   0 0 1e-15'
  []
[]

[Preconditioning]
  [basic]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1e4
  dt = 1e3
  nl_abs_tol = 1e-15
  nl_rel_tol = 1E-14
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_cartesian_lms/frictionless-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'lm_x lm_y lm_z'
    primary_variable = 'disp_x disp_y disp_z'
    preconditioner = 'LU'
    is_lm_coupling_diagonal = true
    adaptive_condensation = true
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'NEWTON'
  petsc_options_iname = '-mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = '1e-5          NONZERO               1e-10'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  perf_graph = true
  exodus = true
  csv = true
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = lm_z
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = lm_z
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/mortar_aux_kernels/pressure-aux-friction-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent1_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent2_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[AuxKernels]
  [tangent2_lm]
    type = MortarPressureComponentAux
    variable = tangent2_lm
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    lm_var_x = lm_x
    lm_var_y = lm_y
    lm_var_z = lm_z
    component = 'tangent2'
    boundary = 'top_bottom'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
    c_t = 1e+2
    mu = 0.10
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = ' lu       superlu_dist                  NONZERO               1e-15'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = false
  csv = true
  execute_on = 'FINAL'
[]

[VectorPostprocessors]
  [tangent2_lm]
    type = NodalValueSampler
    block = secondary_lower
    variable = tangent2_lm
    sort_by = 'id'
  []
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_first/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
    extra_vector_tags = 'ref'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/heat_transfer/test/tests/interface_heating_mortar/constraint_joule_heating_dual_material_insulated.i)

## Units in the input file: m-Pa-s-K-V

# Using the steady-state Fourier's law, the temperature at the interface in each block,
# in the case where thermal contact between the two blocks at the interface is not
# considered, (steel block on left, aluminum on right) is calculated as:
#
#   T_{interface - steel} = 816.849K
#   T_{interface - aluminum} = 339.871K
# which matches the simulation results to the 6 decimal places shown.
# As expected, the heat flux resulting from the volumetric Joule heating source is
# equivalent on both sides of the interface.

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmax = 0.1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmin = 0.1
    xmax = 0.2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Variables]
  [temperature]
    initial_condition = 300.0
  []
  [potential]
  []
  [potential_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 1.0
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'right_block'
  []

  [electric_steel]
    type = ADMatDiffusion
    variable = potential
    diffusivity = steel_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block'
  []
  [electric_aluminum]
    type = ADMatDiffusion
    variable = potential
    diffusivity = aluminum_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'fixed_block_right'
  []

  [electric_left]
    type = ADDirichletBC
    variable = potential
    value = 0.0
    boundary = moving_block_left
  []
  [electric_right]
    type = ADDirichletBC
    variable = potential
    value = 3.0e-1
    boundary = fixed_block_right
  []
[]

[Constraints]
  [electrical_contact]
    type = ModularGapConductanceConstraint
    variable = potential_interface_lm
    secondary_variable = potential
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_electric'
  []
  [interface_heating]
    type = ADInterfaceJouleHeatingConstraint
    potential_lagrange_multiplier = potential_interface_lm
    secondary_variable = temperature
    primary_electrical_conductivity = steel_electrical_conductivity
    secondary_electrical_conductivity = aluminum_electrical_conductivity
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
  []
[]

[Materials]
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_electrical_conductivity         steel_hardness'
    prop_values = '8e3            16.2                        500.0              1.39e6      1.0' ## for stainless steel 304
    block = 'left_block interface_secondary_subdomain'
  []

  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_electrical_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                           900.0                   3.7e7                           1.0' #for 99% pure Al
    block = 'left_block right_block interface_secondary_subdomain'
  []
[]

[UserObjects]
  [closed_electric]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_electrical_conductivity
    secondary_conductivity = aluminum_electrical_conductivity
    temperature = potential
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_primary_subdomain
  []
  [aluminum_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
  [interface_electrical_flux]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = fixed_block_left
    diffusivity = aluminum_electrical_conductivity
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-6
  nl_max_its = 100
  nl_forced_its = 1
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-function.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[Functions]
  # x: Contact pressure
  # y: Magnitude of tangential relative velocity
  # z: Temperature (to be implemented)
  [mu_function]
    type = ParsedFunction
    expression = '0.3 + (0.7 - 0.3) * 2.17^(-0.5/y) - x/10000'
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    # mu = 0.4
    function_friction = mu_function
    c = 1e4
    c_t = 1.0e6
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top_top'
    function = '0.1*t'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .05
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_second/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/heat_transfer/test/tests/interface_heating_mortar/transient_joule_heating_constraint.i)

## Units in the input file: m-Pa-s-K-V

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmax = 0.1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmin = 0.1
    xmax = 0.2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Variables]
  [temperature]
    initial_condition = 300.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
  [potential]
  []
  [potential_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 1.0
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block'
  []
  [HeatTdot_steel]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = steel_heat_capacity #use parsed material property
    density_name = steel_density
    extra_vector_tags = 'ref'
    block = 'left_block'
  []

  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'right_block'
  []
  [HeatTdot_aluminum]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = aluminum_heat_capacity #use parsed material property
    density_name = aluminum_density
    extra_vector_tags = 'ref'
    block = 'right_block'
  []

  [electric_steel]
    type = ADMatDiffusion
    variable = potential
    diffusivity = steel_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block'
  []
  [electric_aluminum]
    type = ADMatDiffusion
    variable = potential
    diffusivity = aluminum_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'fixed_block_right'
  []

  [electric_left]
    type = ADDirichletBC
    variable = potential
    value = 0.0
    boundary = moving_block_left
  []
  [electric_right]
    type = ADDirichletBC
    variable = potential
    value = 3.0e-1
    boundary = fixed_block_right
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_temperature'
  []
  [electrical_contact]
    type = ModularGapConductanceConstraint
    variable = potential_interface_lm
    secondary_variable = potential
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_electric'
  []
  [interface_heating]
    type = ADInterfaceJouleHeatingConstraint
    potential_lagrange_multiplier = potential_interface_lm
    secondary_variable = temperature
    primary_electrical_conductivity = steel_electrical_conductivity
    secondary_electrical_conductivity = aluminum_electrical_conductivity
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
  []
[]

[Materials]
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_electrical_conductivity         steel_hardness'
    prop_values = '8e3            16.2                        500.0              1.39e6      1.0' ## for stainless steel 304
    block = 'left_block interface_secondary_subdomain'
  []

  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_electrical_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                           900.0                   3.7e7                           1.0' #for 99% pure Al
    block = 'left_block right_block interface_secondary_subdomain'
  []
[]

[UserObjects]
  [closed_temperature]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
  [closed_electric]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_electrical_conductivity
    secondary_conductivity = aluminum_electrical_conductivity
    temperature = potential
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_primary_subdomain
  []
  [aluminum_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []

  [interface_electrical_flux]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = fixed_block_left
    diffusivity = aluminum_electrical_conductivity
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-4
  nl_max_its = 100
  nl_forced_its = 1

  dt = 1200.0
  dtmin = 1200.0
  num_steps = 8
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/combined/test/tests/stateful_mortar_constraints/stateful_mortar_npr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []
  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_yy]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = false
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceStatefulConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 0.0001
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
    stateful_variable = stress_xx_recovered
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = HeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = HeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 0.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
  [stress_xx_recovered]
    type = ElementExtremeValue
    variable = stress_xx_recovered
    block = 'block'
    value_type = max
  []
  [stress_yy_recovered]
    type = ElementExtremeValue
    variable = stress_yy_recovered
    block = 'block'
    value_type = max
  []
  [min_temperature]
    type = ElementExtremeValue
    variable = temp
    block = 'plank'
    value_type = min
  []
[]

[Outputs]
  exodus = true
  [out]
    type = CSV
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d_pg.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/porous_flow/test/tests/actions/basicthm_hm.i)

# PorousFlowBasicTHM action with coupling_type = HydroMechanical

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 3
    xmax = 10
    ymax = 3
  []
  [aquifer]
    input = gen
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 1 0'
    top_right = '10 2 0'
  []
  [injection_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'injection_area'
    normal = '-1 0 0'
    input = 'aquifer'
  []
  [outflow_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'outflow_area'
    normal = '1 0 0'
    input = 'injection_area'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caprock aquifer'
    input = 'outflow_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
  displacements = 'disp_x disp_y'
  biot_coefficient = 1.0
[]

[Variables]
  [porepressure]
    initial_condition = 1e6
  []
  [disp_x]
    scaling = 1e-10
  []
  [disp_y]
    scaling = 1e-10
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 293
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = HydroMechanical
  gravity = '0 0 0'
  fp = simple_fluid
  use_displaced_mesh = false
  add_stress_aux = false
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1.5e6
    boundary = injection_area
  []
  [constant_outflow_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    boundary = outflow_area
    pt_vals = '0 1e9'
    multipliers = '0 1e9'
    flux_function = 1e-6
    PT_shift = 1e6
  []
  [top_bottom]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'top bottom'
  []
  [right]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = right
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    solid_bulk_compliance = 2e-7
    fluid_bulk_modulus = 1e7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1e-13 0 0   0 1e-13 0   0 0 1e-13'
  []
  [permeability_caprock]
    type = PorousFlowPermeabilityConst
    block = caprock
    permeability = '1e-15 0 0   0 1e-15 0   0 0 1e-15'
  []
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 5e9
    poissons_ratio = 0.0
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[Preconditioning]
  [basic]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1e4
  dt = 1e3
  nl_abs_tol = 1e-14
  nl_rel_tol = 1e-14
[]

[Outputs]
  exodus = true
[]

(test/tests/mortar/continuity-3d-non-conforming/continuity_tet.i)

[Mesh]
  second_order = false
  [left_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 2
    nz = 2
    xmin = 0
    xmax = 0.3
    ymin = 0
    ymax = .5
    zmin = 0
    zmax = .5
    elem_type = TET4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'lb_bottom lb_back lb_right lb_front lb_left lb_top'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 2
    nz = 2
    xmin = 0.3
    xmax = 0.6
    ymin = 0
    ymax = .5
    zmin = 0
    zmax = .5
    elem_type = TET4
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  []
  [right_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = right_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [right_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = rb_right
    block = right_block
    normal = '1 0 0'
  []
  [right_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_right_sideset
    new_boundary = rb_left
    block = right_block
    normal = '-1 0 0'
  []
  [right_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_left_sideset
    new_boundary = rb_top
    block = right_block
    normal = '0 0 1'
  []
  [right_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_top_sideset
    new_boundary = rb_bottom
    block = right_block
    normal = '0 0 -1'
  []
  [right_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_bottom_sideset
    new_boundary = rb_front
    block = right_block
    normal = '0 1 0'
  []
  [right_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_front_sideset
    new_boundary = rb_back
    block = right_block
    normal = '0 -1 0'
  []
  [secondary]
    input = right_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'lb_right'
    new_block_id = '12'
    new_block_name = 'secondary'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'rb_left'
    new_block_id = '11'
    new_block_name = 'primary'
  []
[]

[Problem]
  kernel_coverage_check = false
[]

[Variables]
  [T]
    block = '1 2'
    order = FIRST
  []
  [lambda]
    block = 'secondary'
    family = MONOMIAL
    order = CONSTANT
  []
[]

[BCs]
  [neumann]
    type = FunctionGradientNeumannBC
    exact_solution = exact_soln_primal
    variable = T
    boundary = 'lb_back lb_front lb_left lb_top lb_bottom rb_right rb_top rb_bottom rb_front rb_back'
  []
[]

[Kernels]
  [conduction]
    type = Diffusion
    variable = T
    block = '1 2'
  []
  [sink]
    type = Reaction
    variable = T
    block = '1 2'
  []
  [forcing_function]
    type = BodyForce
    variable = T
    function = forcing_function
    block = '1 2'
  []
[]

[Functions]
  [forcing_function]
    type = ParsedFunction
    expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
  []
  [exact_soln_primal]
    type = ParsedFunction
    expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
  []
  [exact_soln_lambda]
    type = ParsedFunction
    expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
  []
[]

[Debug]
  show_var_residual_norms = 1
[]

[Constraints]
  [mortar]
    type = EqualValueConstraint
    primary_boundary = 'rb_left'
    secondary_boundary = 'lb_right'
    primary_subdomain = '11'
    secondary_subdomain = '12'
    variable = lambda
    secondary_variable = T
    delta = .1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  solve_type = NEWTON
  type = Steady
  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu       basic                 NONZERO               1e-15'
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [L2lambda]
    type = ElementL2Error
    variable = lambda
    function = exact_soln_lambda
    execute_on = 'timestep_end'
    block = 'secondary'
  []
  [L2u]
    type = ElementL2Error
    variable = T
    function = exact_soln_primal
    execute_on = 'timestep_end'
    block = 'left_block right_block'
  []
  [h]
    type = AverageElementSize
    block = 'left_block right_block'
  []
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictionless_fir/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictional/finite_stiff.i)

E_block = 1e7
E_plank = 1e9
elem = QUAD8
order = SECOND
name = 'finite_stiff'

[Mesh]
  patch_size = 200
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictional]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    model = coulomb
    c_normal = 1e0
    c_tangential = 1e-6
    friction_coefficient = 0.2
    tangential_lm_scaling = 1.0e-10
  []
[]

[BCs]
  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
    preset = false
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
    preset = false
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu        NONZERO               1e-12'

  end_time = 5.3
  dt = 0.12
  dtmin = 0.12
  line_search = 'none'
  nl_div_tol = 1e100
  timestep_tolerance = 1e-6
  l_abs_tol = 1e-13
  nl_abs_tol = 1e-9
  nl_rel_tol = 1e-14
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictional_normal_lm
    subdomain = frictional_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_second/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_first/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1.0e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 10
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/tutorial/01.i)

# Darcy flow
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = the_simple_fluid
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1E6
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2E-7
    fluid_bulk_modulus = 1E7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-13
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/examples/tutorial/00_2D.i)

# Creates the mesh for the remainder of the tutorial
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    xmin = 1.0
    xmax = 10
    bias_x = 1.4
    ny = 3
    ymin = -6
    ymax = 6
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 -2 0'
    top_right = '10 2 0'
    input = gen
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x<1.0001'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[Variables]
  [dummy_var]
  []
[]
[Kernels]
  [dummy_diffusion]
    type = Diffusion
    variable = dummy_var
  []
[]

[Executioner]
  type = Steady
[]

[Outputs]
  file_base = 2D_mesh
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictional/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictional]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    model = coulomb
    c_normal = 1e3
    c_tangential = 1e-6
    friction_coefficient = 0.1
    tangential_lm_scaling = 1.0e-10
  []
[]

[BCs]
  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
    preset = false
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
    preset = false
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu        NONZERO               1e-15'
  end_time = 5.3
  dt = 0.12
  dtmin = 0.12
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_div_tol = 1e100
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictional_normal_lm
    subdomain = frictional_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_first/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/groundwater/ex02_steady_state.i)

# Steady-state groundwater model.  See groundwater_models.md for a detailed description
[Mesh]
  [basic_mesh]
    # mesh create by external program: lies within -500<=x<=500 and -200<=y<=200, with varying z
    type = FileMeshGenerator
    file = ex02_mesh.e
  []
  [name_blocks]
    type = RenameBlockGenerator
    input = basic_mesh
    old_block = '2 3 4'
    new_block = 'bot_aquifer aquitard top_aquifer'
  []
  [zmax]
    type = SideSetsFromNormalsGenerator
    input = name_blocks
    normal_tol = 0.1
    new_boundary = zmax
    normals = '0 0 1'
  []
  [xmin_bot_aquifer]
    type = ParsedGenerateSideset
    input = zmax
    included_subdomains = 2
    normal = '-1 0 0'
    combinatorial_geometry = 'x <= -500.0'
    new_sideset_name = xmin_bot_aquifer
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [pp]
  []
[]

[ICs]
  [pp]
    type = FunctionIC
    variable = pp
    function = initial_pp
  []
[]

[BCs]
  [rainfall_recharge]
    type = PorousFlowSink
    boundary = zmax
    variable = pp
    flux_function = -1E-6  # recharge of 0.1mm/day = 1E-4m3/m2/day = 0.1kg/m2/day ~ 1E-6kg/m2/s
  []
  [evapotranspiration]
    type = PorousFlowHalfCubicSink
    boundary = zmax
    variable = pp
    center = 0.0
    cutoff = -5E4 # roots of depth 5m.  5m of water = 5E4 Pa
    use_mobility = true
    fluid_phase = 0
    # Assume pan evaporation of 4mm/day = 4E-3m3/m2/day = 4kg/m2/day ~ 4E-5kg/m2/s
    # Assume that if permeability was 1E-10m^2 and water table at topography then ET acts as pan strength
    # Because use_mobility = true, then 4E-5 = maximum_flux = max * perm * density / visc = max * 1E-4, so max = 40
    max = 40
  []
[]

[DiracKernels]
  [river]
    type = PorousFlowPolyLineSink
    SumQuantityUO = baseflow
    point_file = ex02_river.bh
    # Assume a perennial river.
    # Assume the river has an incision depth of 1m and a stage height of 1.5m, and these are constant in time and uniform over the whole model.  Hence, if groundwater head is 0.5m (5000Pa) there will be no baseflow and leakage.
    p_or_t_vals = '-999995000 5000 1000005000'
    # Assume the riverbed conductance, k_zz*density*river_segment_length*river_width/riverbed_thickness/viscosity = 1E-6*river_segment_length kg/Pa/s
    fluxes = '-1E3 0 1E3'
    variable = pp
  []
[]

[Functions]
  [initial_pp]
    type = SolutionFunction
    scale_factor = 1E4
    from_variable = cosflow_depth
    solution = initial_mesh
  []
  [baseflow_rate]
    type = ParsedFunction
    symbol_names = 'baseflow_kg dt'
    symbol_values = 'baseflow_kg dt'
    expression = 'baseflow_kg / dt * 24.0 * 3600.0 / 400.0'
  []
[]

[PorousFlowUnsaturated]
  fp = simple_fluid
  porepressure = pp
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
  []
[]

[Materials]
  [porosity_everywhere]
    type = PorousFlowPorosityConst
    porosity = 0.05
  []
  [permeability_aquifers]
    type = PorousFlowPermeabilityConst
    block = 'top_aquifer bot_aquifer'
    permeability = '1E-12 0 0 0 1E-12 0 0 0 1E-13'
  []
  [permeability_aquitard]
    type = PorousFlowPermeabilityConst
    block = aquitard
    permeability = '1E-16 0 0 0 1E-16 0 0 0 1E-17'
  []
[]

[UserObjects]
  [initial_mesh]
    type = SolutionUserObject
    execute_on = INITIAL
    mesh = ex02_mesh.e
    timestep = LATEST
    system_variables = cosflow_depth
  []
  [baseflow]
    type = PorousFlowSumQuantity
  []
[]

[Postprocessors]
  [baseflow_kg]
    type = PorousFlowPlotQuantity
    uo = baseflow
    outputs = 'none'
  []
  [dt]
    type = TimestepSize
    outputs = 'none'
  []
  [baseflow_l_per_m_per_day]
    type = FunctionValuePostprocessor
    function = baseflow_rate
    indirect_dependencies = 'baseflow_kg dt'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    # following 2 lines are not mandatory, but illustrate a popular preconditioner choice in groundwater models
    petsc_options_iname = '-pc_type -sub_pc_type  -pc_asm_overlap'
    petsc_options_value = ' asm      ilu           2              '
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1E6
  [TimeStepper]
    type = FunctionDT
    function = 'max(1E6, t)'
  []
  end_time = 1E12
  nl_abs_tol = 1E-13
[]

[Outputs]
  print_linear_residuals = false
  [ex]
    type = Exodus
    execute_on = final
  []
  [csv]
    type = CSV
  []
[]

(modules/porous_flow/examples/tutorial/07.i)

# Darcy flow with a tracer that precipitates causing mineralisation and porosity changes and permeability changes
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    input = annular
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
  [tracer_concentration]
  []
[]

[PorousFlowFullySaturated]
  porepressure = porepressure
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = the_simple_fluid
  mass_fraction_vars = tracer_concentration
  number_aqueous_kinetic = 1
  temperature = 283.0
  stabilization = none # Note to reader: try this with other stabilization and compare the results
[]

[AuxVariables]
  [eqm_k]
    initial_condition = 0.1
  []
  [mineral_conc]
    family = MONOMIAL
    order = CONSTANT
  []
  [initial_and_reference_conc]
    initial_condition = 0
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
  []
  [permeability]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [mineral_conc]
    type = PorousFlowPropertyAux
    property = mineral_concentration
    mineral_species = 0
    variable = mineral_conc
  []
  [porosity]
    type = PorousFlowPropertyAux
    property = porosity
    variable = porosity
  []
  [permeability]
    type = PorousFlowPropertyAux
    property = permeability
    column = 0
    row = 0
    variable = permeability
  []
[]

[Kernels]
  [precipitation_dissolution]
    type = PorousFlowPreDis
    mineral_density = 1000.0
    stoichiometry = 1
    variable = tracer_concentration
  []
[]

[BCs]
  [constant_injection_of_tracer]
    type = PorousFlowSink
    variable = tracer_concentration
    flux_function = -5E-3
    boundary = injection_area
  []
  [constant_outer_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = rmax
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity_mat]
    type = PorousFlowPorosity
    porosity_zero = 0.1
    chemical = true
    initial_mineral_concentrations = initial_and_reference_conc
    reference_chemistry = initial_and_reference_conc
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityKozenyCarman
    block = aquifer
    k0 = 1E-14
    m = 2
    n = 3
    phi0 = 0.1
    poroperm_function = kozeny_carman_phi0
  []
  [permeability_caps]
    type = PorousFlowPermeabilityKozenyCarman
    block = caps
    k0 = 1E-15
    k_anisotropy = '1 0 0  0 1 0  0 0 0.1'
    m = 2
    n = 3
    phi0 = 0.1
    poroperm_function = kozeny_carman_phi0
  []
  [precipitation_dissolution_mat]
    type = PorousFlowAqueousPreDisChemistry
    reference_temperature = 283.0
    activation_energy = 1 # irrelevant because T=Tref
    equilibrium_constants = eqm_k # equilibrium tracer concentration
    kinetic_rate_constant = 1E-8
    molar_volume = 1
    num_reactions = 1
    primary_activity_coefficients = 1
    primary_concentrations = tracer_concentration
    reactions = 1
    specific_reactive_surface_area = 1
  []
  [mineral_concentration]
    type = PorousFlowAqueousPreDisMineral
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-10
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/closed_gap_thermomechanical_mortar_contact.i)

## Units in the input file: m-Pa-s-K

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmax = 1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmin = 1
    xmax = 2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  patch_update_strategy = iteration
[]

[Variables]
  [disp_x]
    block = 'left_block right_block'
  []
  [disp_y]
    block = 'left_block right_block'
  []
  [temperature]
    initial_condition = 300.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[Physics]
  [SolidMechanics/QuasiStatic]
    [steel]
      strain = FINITE
      add_variables = false
      use_automatic_differentiation = true
      generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      eigenstrain_names = steel_thermal_expansion
      block = 'left_block'
    []
    [aluminum]
      strain = FINITE
      add_variables = false
      use_automatic_differentiation = true
      generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      eigenstrain_names = aluminum_thermal_expansion
      block = 'right_block'
    []
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    block = 'left_block'
  []
  [HeatTdot_steel]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = steel_heat_capacity
    density_name = steel_density
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    block = 'right_block'
  []
  [HeatTdot_aluminum]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = aluminum_heat_capacity
    density_name = aluminum_density
    block = 'right_block'
  []
[]

[BCs]
  [fixed_bottom_edge]
    type = ADDirichletBC
    variable = disp_y
    value = 0
    boundary = 'moving_block_bottom fixed_block_bottom'
  []
  [fixed_outer_edge]
    type = ADDirichletBC
    variable = disp_x
    value = 0
    boundary = 'fixed_block_right'
  []
  [displacement_left_block]
    type = ADFunctionDirichletBC
    variable = disp_x
    function = '2.0e-7*t'
    boundary = 'moving_block_left'
  []
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 800
    boundary = 'fixed_block_right'
  []
[]

[Contact]
  [interface]
    primary = moving_block_right
    secondary = fixed_block_left
    model = frictionless
    formulation = mortar
    correct_edge_dropping = true
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed'
    use_displaced_mesh = true
  []
[]

[Materials]
  [steel_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
    poissons_ratio = 0.29
    block = 'left_block'
  []
  [steel_stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'left_block'
  []
  [steel_thermal_expansion]
    type = ADComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 17.3e-6 # stainless steel 304
    stress_free_temperature = 300.0
    temperature = temperature
    eigenstrain_name = 'steel_thermal_expansion'
    block = 'left_block'
  []
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_hardness'
    prop_values = ' 8e3            16.2                     0.5                 129' ## for stainless steel 304
    block = 'left_block'
  []

  [aluminum_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
    poissons_ratio = 0.36
    block = 'right_block'
  []
  [aluminum_stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'right_block'
  []
  [aluminum_thermal_expansion]
    type = ADComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 24.0e-6 # aluminum
    stress_free_temperature = 300.0
    temperature = temperature
    eigenstrain_name = 'aluminum_thermal_expansion'
    block = 'right_block'
  []
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_hardness'
    prop_values = ' 2.7e3            210                           0.9                   15' #for 99% pure Al
    block = 'right_block'
  []
[]

[UserObjects]
  [closed]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 245
    variable = temperature
  []
  [aluminum_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 657
    variable = temperature
  []
  [steel_element_interface_stress]
    type = ElementalVariableValue
    variable = vonmises_stress
    elementid = 199
  []
  [aluminum_element_interface_stress]
    type = ElementalVariableValue
    variable = vonmises_stress
    elementid = 560
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
[]


[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  # mortar contact solver options
  petsc_options = '-snes_converged_reason -pc_svd_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = ' lu       superlu_dist'
  snesmf_reuse_base = false

  nl_rel_tol = 1e-8
  nl_max_its = 20
  l_max_its = 50

  dt = 2
  end_time = 10
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(tutorials/shield_multiphysics/inputs/step01_diffusion/mesh.i)

[Mesh]
  [bulk]
    type = CartesianMeshGenerator
    dim = 3
    dx = '0.5 0.75 0.025 4.0 0.025 0.75 0.5'
    dy = '0.5 0.3 0.025 7.6 0.025 0.75 0.5'
    dz = '0.5 0.3 0.025 3.6 0.025 0.3 0.5'
    ix = '2 3 1 16 1 3 2'
    iy = '2 1 1 30 1 3 2'
    iz = '2 1 1 14 1 1 2'
    subdomain_id = '
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0

      0 0 0 0 0 0 0
      0 1 1 1 1 1 0
      0 2 2 1 2 2 0
      0 2 2 1 2 2 0
      0 2 2 2 2 2 0
      0 2 2 2 2 2 0
      0 0 0 0 0 0 0

      0 0 0 0 0 0 0
      0 1 1 1 1 1 0
      0 2 2 3 2 2 0
      0 2 2 3 2 2 0
      0 2 2 2 2 2 0
      0 2 2 2 2 2 0
      0 0 0 0 0 0 0

      0 0 0 0 0 0 0
      0 1 1 1 1 1 0
      0 2 2 3 2 2 0
      0 2 2 4 2 2 0
      0 2 2 2 2 2 0
      0 2 2 2 2 2 0
      0 0 0 0 0 0 0

      0 0 0 0 0 0 0
      0 1 1 1 1 1 0
      0 2 2 3 2 2 0
      0 2 2 3 2 2 0
      0 2 2 2 2 2 0
      0 2 2 2 2 2 0
      0 0 0 0 0 0 0

      0 0 0 0 0 0 0
      0 1 1 1 1 1 0
      0 1 1 1 1 1 0
      0 1 1 1 1 1 0
      0 1 1 1 1 1 0
      0 1 1 1 1 1 0
      0 0 0 0 0 0 0

      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      0 0 0 0 0 0 0
      '
  []
  [hollow_concrete]
    type = BlockDeletionGenerator
    input = bulk
    block = 4
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = hollow_concrete
    old_block = '0 1 2 3'
    new_block = 'concrete_hd concrete water Al'
    show_info = true
  []
  [rename_boundaries_step1]
    type = RenameBoundaryGenerator
    input = 'rename_blocks'
    old_boundary = 'back  front'
    new_boundary = 'temp1 temp2'
    show_info = true
  []
  [rename_boundaries_step2]
    type = RenameBoundaryGenerator
    input = 'rename_boundaries_step1'
    old_boundary = 'bottom top'
    new_boundary = 'back   front'
    show_info = true
  []
  [rename_boundaries_step3]
    type = RenameBoundaryGenerator
    input = 'rename_boundaries_step2'
    old_boundary = 'temp1 temp2'
    new_boundary = 'bottom top'
  []
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = ADDirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/meshgenerators/mesh_diagnostics_generator/conformality_test.i)

[Mesh]
  [copy1]
    type = ElementGenerator
    nodal_positions = '4 2 0
                       8 2 0
                       8 5 0
                       4 5 0'
    element_connectivity = '0 1 2 3'
    elem_type = 'QUAD4'
  []
  [gen]
    input = copy1
    type = RenameBlockGenerator
    old_block = "0"
    new_block = "1"
  []

  [copy2]
    type = ElementGenerator
    nodal_positions = '8.001 2 0
                       12 2 0
                       12 5 0
                       8.001 3.5 0'

    element_connectivity = '0 1 2 3'
    elem_type = 'QUAD4'
  []

  [stitched]
    type = StitchedMeshGenerator
    inputs = 'gen copy2'
    stitch_boundaries_pairs = '0 1'
  []

  [diag]
    type = MeshDiagnosticsGenerator
    input = stitched
    examine_non_conformality = INFO
    nonconformal_tol = 0.1
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/mortar/convergence-studies/gap-conductance/gap-conductance.i)

[Problem]
  error_on_jacobian_nonzero_reallocation = true
[]

[Mesh]
  second_order = true
  [./left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  [../]
  [./left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = 'lb_bottom lb_right lb_top lb_left'
  [../]
  [./left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  [../]
  [./right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 2
    xmax = 3
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  [../]
  [./right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  [../]
  [right_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = right_block_id
    old_boundary = '0 1 2 3'
    new_boundary = '100 101 102 103'
  []
  [./combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_change_boundary_id'
  [../]
  [./block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  [../]
  [right_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = rb_right
    block = right_block
    normal = '1 0 0'
  []
  [right_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_right_sideset
    new_boundary = rb_left
    block = right_block
    normal = '-1 0 0'
  []
  [right_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_left_sideset
    new_boundary = rb_top
    block = right_block
    normal = '0 1 0'
  []
  [right_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_top_sideset
    new_boundary = rb_bottom
    block = right_block
    normal = '0 -1 0'
  []
  [secondary]
    input = right_bottom_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'lb_right'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'rb_left'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [./T]
    block = 'left_block right_block'
    order = SECOND
  [../]
  [./lambda]
    block = 'secondary_lower'
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[BCs]
  [./neumann]
    type = FunctionGradientNeumannBC
    exact_solution = exact_soln_primal
    variable = T
    boundary = 'lb_bottom lb_top lb_left rb_bottom rb_right rb_top'
  [../]
[]

[Kernels]
  [./conduction]
    type = Diffusion
    variable = T
    block = 'left_block right_block'
  [../]
  [./sink]
    type = Reaction
    variable = T
    block = 'left_block right_block'
  [../]
  [./forcing_function]
    type = BodyForce
    variable = T
    function = forcing_function
    block = 'left_block right_block'
  [../]
[]

[Functions]
  [./forcing_function]
    type = ParsedFunction
    expression = ''
  [../]
  [./exact_soln_primal]
    type = ParsedFunction
    expression = ''
  [../]
  [exact_soln_lambda]
    type = ParsedFunction
    expression = ''
  []
  [mms_secondary]
    type = ParsedFunction
    expression = ''
  []
  [mms_primary]
    type = ParsedFunction
    expression = ''
  []
[]

[Debug]
  show_var_residual_norms = 1
[]

[Constraints]
  [./mortar]
    type = GapHeatConductanceTest
    primary_boundary = rb_left
    secondary_boundary = lb_right
    primary_subdomain = primary_lower
    secondary_subdomain = secondary_lower
    secondary_variable = T
    variable = lambda
    secondary_gap_conductance = 1
    primary_gap_conductance = 1
    secondary_mms_function = mms_secondary
    primary_mms_function = mms_primary
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  solve_type = NEWTON
  type = Steady
  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre    boomeramg'
[]

[Outputs]
  csv = true
  [dofmap]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Postprocessors]
  [L2lambda]
    type = ElementL2Error
    variable = lambda
    function = exact_soln_lambda
    execute_on = 'timestep_end'
    block = 'secondary_lower'
  []
  [L2u]
    type = ElementL2Error
    variable = T
    function = exact_soln_primal
    execute_on = 'timestep_end'
    block = 'left_block right_block'
  []
  [h]
    type = AverageElementSize
    block = 'left_block right_block'
  []
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictionless_fir/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    extra_vector_tags = 'ref'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_second/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/tutorial/00.i)

# Creates the mesh for the remainder of the tutorial
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[Variables]
  [dummy_var]
  []
[]
[Kernels]
  [dummy_diffusion]
    type = Diffusion
    variable = dummy_var
  []
[]

[Executioner]
  type = Steady
[]

[Outputs]
  file_base = 3D_mesh
  exodus = true
[]

(test/tests/mortar/continuity-3d-non-conforming/continuity_penalty_tet.i)

[Mesh]
  second_order = false
  [left_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 2
    nz = 2
    xmin = 0
    xmax = 0.3
    ymin = 0
    ymax = .5
    zmin = 0
    zmax = .5
    elem_type = TET4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'lb_bottom lb_back lb_right lb_front lb_left lb_top'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 2
    nz = 2
    xmin = 0.3
    xmax = 0.6
    ymin = 0
    ymax = .5
    zmin = 0
    zmax = .5
    elem_type = TET4
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  []
  [right_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = right_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [right_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = rb_right
    block = right_block
    normal = '1 0 0'
  []
  [right_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_right_sideset
    new_boundary = rb_left
    block = right_block
    normal = '-1 0 0'
  []
  [right_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_left_sideset
    new_boundary = rb_top
    block = right_block
    normal = '0 0 1'
  []
  [right_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_top_sideset
    new_boundary = rb_bottom
    block = right_block
    normal = '0 0 -1'
  []
  [right_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_bottom_sideset
    new_boundary = rb_front
    block = right_block
    normal = '0 1 0'
  []
  [right_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = right_front_sideset
    new_boundary = rb_back
    block = right_block
    normal = '0 -1 0'
  []
  [secondary]
    input = right_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'lb_right'
    new_block_id = '12'
    new_block_name = 'secondary'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'rb_left'
    new_block_id = '11'
    new_block_name = 'primary'
  []
[]

[Variables]
  [T]
    block = '1 2'
    order = FIRST
  []
[]

[BCs]
  [neumann]
    type = FunctionGradientNeumannBC
    exact_solution = exact_soln_primal
    variable = T
    boundary = 'lb_back lb_front lb_left lb_top lb_bottom rb_right rb_top rb_bottom rb_front rb_back'
  []
[]

[Kernels]
  [conduction]
    type = Diffusion
    variable = T
    block = '1 2'
  []
  [sink]
    type = Reaction
    variable = T
    block = '1 2'
  []
  [forcing_function]
    type = BodyForce
    variable = T
    function = forcing_function
    block = '1 2'
  []
[]

[Functions]
  [forcing_function]
    type = ParsedFunction
    expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi) + 3*pi^2*sin(x*pi)*sin(y*pi)*sin(z*pi)'
  []
  [exact_soln_primal]
    type = ParsedFunction
    expression = 'sin(x*pi)*sin(y*pi)*sin(z*pi)'
  []
  [exact_soln_lambda]
    type = ParsedFunction
    expression = 'pi*sin(pi*y)*sin(pi*z)*cos(pi*x)'
  []
[]

[Debug]
  show_var_residual_norms = 1
[]

[Constraints]
  [mortar]
    type = PenaltyEqualValueConstraint
    primary_boundary = 'rb_left'
    secondary_boundary = 'lb_right'
    primary_subdomain = '11'
    secondary_subdomain = '12'
    secondary_variable = T
    penalty_value = 1.0e5
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  solve_type = NEWTON
  type = Steady

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [L2u]
    type = ElementL2Error
    variable = T
    function = exact_soln_primal
    execute_on = 'timestep_end'
    block = 'left_block right_block'
  []
  [h]
    type = AverageElementSize
    block = 'left_block right_block'
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d_pg.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
  [lambda]
    type = ElementAverageValue
    variable = mortar_normal_lm
    block = 'secondary_lower'
  []
[]

(modules/porous_flow/examples/tutorial/06.i)

# Darcy flow with a tracer
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
  [tracer_concentration]
  []
[]

[ICs]
  [tracer_concentration]
    type = FunctionIC
    function = '0.5*if(x*x+y*y<1.01,1,0)'
    variable = tracer_concentration
  []
[]

[PorousFlowFullySaturated]
  porepressure = porepressure
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = the_simple_fluid
  mass_fraction_vars = tracer_concentration
  stabilization = none # Note to reader: 06_KT.i uses KT stabilization - compare the results
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1E6
    boundary = injection_area
  []
  [constant_outer_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = rmax
  []
  [injected_tracer]
    type = DirichletBC
    variable = tracer_concentration
    value = 0.5
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_rel_tol = 1E-14
[]

[Outputs]
  exodus = true
[]

(modules/electromagnetics/test/tests/interfacekernels/electrostatic_contact/contact_conductance_supplied.i)

[Mesh]
  [box]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.5 0.5'
    dy = '0.25 0.5 0.25'
    ix = '20 20'
    iy = '10 20 10'
    subdomain_id = '1 1
                    2 3
                    1 1'
  []
  [rename_subdomains]
    type = RenameBlockGenerator
    input = box
    old_block = '1 2'
    new_block = 'stainless_steel graphite'
  []
  [create_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = rename_subdomains
    primary_block = stainless_steel
    paired_block = graphite
    new_boundary = 'ssg_interface'
  []
  [delete_block]
    type = BlockDeletionGenerator
    input = create_interface
    block = 3
  []
  coord_type = RZ
[]

[Variables]
  [potential_graphite]
    block = graphite
  []
  [potential_stainless_steel]
    block = stainless_steel
  []
[]

[Kernels]
  [electric_graphite]
    type = ADMatDiffusion
    variable = potential_graphite
    diffusivity = electrical_conductivity
    block = graphite
  []
  [electric_stainless_steel]
    type = ADMatDiffusion
    variable = potential_stainless_steel
    diffusivity = electrical_conductivity
    block = stainless_steel
  []
[]

[BCs]
  [elec_top]
    type = DirichletBC
    variable = potential_stainless_steel
    boundary = top
    value = 1
  []
  [elec_bottom]
    type = DirichletBC
    variable = potential_stainless_steel
    boundary = bottom
    value = 0
  []
[]

[InterfaceKernels]
  [electrostatic_contact]
    type = ElectrostaticContactCondition
    variable = potential_stainless_steel
    neighbor_var = potential_graphite
    primary_conductivity = electrical_conductivity
    secondary_conductivity = electrical_conductivity
    boundary = ssg_interface
    user_electrical_contact_conductance = 1.47e5 # as described in Cincotti et al (https://doi.org/10.1002/aic.11102)
  []
[]

[Materials]
  #graphite
  [sigma_graphite]
    type = ADGenericConstantMaterial
    prop_names = 'electrical_conductivity'
    prop_values = 3.33e2
    block = graphite
  []

  #stainless_steel
  [sigma_stainless_steel]
    type = ADGenericConstantMaterial
    prop_names = 'electrical_conductivity'
    prop_values = 1.429e6
    block = stainless_steel
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm         101   preonly   ilu      1'
  automatic_scaling = true
  nl_rel_tol = 1e-09
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/porous_flow/test/tests/actions/basicthm_thm.i)

# PorousFlowBasicTHM action with coupling_type = ThermoHydroMechanical

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 3
    xmax = 10
    ymax = 3
  []
  [aquifer]
    input = gen
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 1 0'
    top_right = '10 2 0'
  []
  [injection_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'injection_area'
    normal = '-1 0 0'
    input = 'aquifer'
  []
  [outflow_area]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = 'outflow_area'
    normal = '1 0 0'
    input = 'injection_area'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caprock aquifer'
    input = 'outflow_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
  displacements = 'disp_x disp_y'
  biot_coefficient = 1.0
[]

[Variables]
  [porepressure]
    initial_condition = 1e6
  []
  [temperature]
    initial_condition = 293
    scaling = 1e-6
  []
  [disp_x]
    scaling = 1e-6
  []
  [disp_y]
    scaling = 1e-6
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = ThermoHydroMechanical
  gravity = '0 0 0'
  fp = simple_fluid
  eigenstrain_names = thermal_contribution
  use_displaced_mesh = false
  add_stress_aux = false
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1.5e6
    boundary = injection_area
  []
  [constant_injection_temperature]
    type = DirichletBC
    variable = temperature
    value = 313
    boundary = injection_area
  []
  [constant_outflow_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    boundary = outflow_area
    pt_vals = '0 1e9'
    multipliers = '0 1e9'
    flux_function = 1e-6
    PT_shift = 1e6
  []
  [constant_outflow_temperature]
    type = DirichletBC
    variable = temperature
    value = 293
    boundary = outflow_area
  []
  [top_bottom]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'top bottom'
  []
  [right]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = right
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2e-7
    fluid_bulk_modulus = 1e7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1e-13 0 0   0 1e-13 0   0 0 1e-13'
  []
  [permeability_caprock]
    type = PorousFlowPermeabilityConst
    block = caprock
    permeability = '1e-15 0 0   0 1e-15 0   0 0 1e-15'
  []
  [thermal_expansion]
    type = PorousFlowConstantThermalExpansionCoefficient
    drained_coefficient = 0.003
    fluid_coefficient = 0.0002
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 2500.0
    specific_heat_capacity = 1200.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '10 0 0  0 10 0  0 0 10'
    block = 'caprock aquifer'
  []
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 5e9
    poissons_ratio = 0.0
  []
  [strain]
    type = ComputeSmallStrain
    eigenstrain_names = thermal_contribution
  []
  [thermal_contribution]
    type = ComputeThermalExpansionEigenstrain
    temperature = temperature
    thermal_expansion_coeff = 0.001
    eigenstrain_name = thermal_contribution
    stress_free_temperature = 293
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[Preconditioning]
  [basic]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1e4
  dt = 1e3
  nl_abs_tol = 1e-12
  nl_rel_tol = 1E-10
[]

[Outputs]
  exodus = true
[]

(test/tests/mesh/preparedness/test.i)

[GlobalParams]
  prevent_boundary_ids_overlap = false
[]

[Mesh]
  [region_2_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.065 0.13 0.305 0.17 0.196'
      ix = '  2    2     2    2     2'
      dy = '0.85438 '
      iy = '6'
      subdomain_id = '68 68 68 68 68'
  []
  [region_2_move]
      type = TransformGenerator
      transform = TRANSLATE
      vector_value = '1.2 1.551 0'
      input = region_2_gen
  []
  [region_3_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.24 0.24 0.24 0.24 0.24'
      ix = ' 2   2   2   2   2'
      dy = '0.744166666666666 0.744166666666667 0.744166666666667'
      iy = ' 2 2 2'
      subdomain_id = '56 57 58 59 60
                      51 52 53 54 55
                      46 47 48 49 50'
  []
  [region_3_move]
      type = TransformGenerator
      transform = TRANSLATE
      vector_value = '0 2.40538 0'
      input = region_3_gen
  []
  [region_1_gen]
      type = GeneratedMeshGenerator
      dim = 2
      nx = 10
      ny = 6
      xmin = 0
      xmax = 0.26
      ymin = 1.551
      ymax = 1.851
      subdomain_ids = '62 62 62 62 62 62 62 62 62 62
                       62 62 62 62 62 62 62 62 62 62
                       62 62 62 62 62 62 62 62 62 62
                       62 62 62 62 62 62 62 62 62 62
                       62 62 62 62 62 62 62 62 62 62
                       62 62 62 62 62 62 62 62 62 62'
  []
  [region_1_extend_1]
      type = FillBetweenSidesetsGenerator
      input_mesh_1 = 'region_3_move'
      input_mesh_2 = 'region_1_gen'
      boundary_1 = '0'
      boundary_2 = '2'
      num_layers = 6
      block_id= 61
      use_quad_elements = true
      keep_inputs = true
      begin_side_boundary_id = '3'
      end_side_boundary_id = '1'
  []
  [region_1_extend_2]
      type = FillBetweenSidesetsGenerator
      input_mesh_1 = 'region_2_move'
      input_mesh_2 = 'region_1_gen'
      boundary_1 = 3
      boundary_2 = 1
      num_layers = 6
      block_id= 69
      use_quad_elements = true
      keep_inputs = false
      begin_side_boundary_id = '0'
      end_side_boundary_id = '3'
      input_boundary_1_id = '1'
      input_boundary_2_id = '3'
  []
  [region_2_2_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.065 0.13 0.305 0.17 0.196'
      ix = '  2    2     2    2     2'
      dy = '0.85438 '
      iy = '6'
      subdomain_id = '68 68 68 68 68'
  []
  [region_2_2_move]
      type = TransformGenerator
      transform = TRANSLATE
      vector_value = '1.2 1.551 0'
      input = region_2_2_gen
  []
  [region_6_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.26 0.94 0.065 0.13 0.305 0.17 0.196'
      ix = '10  6     2    2     2    2     2'
      dy = '0.584 0.967'
      iy = '  4    6'
      subdomain_id = '62 72 72 72 72 72 72
                      62 70 71 71 71 71 71'
  []
  [stitch_1_2_6]
      type = StitchedMeshGenerator
      inputs = 'region_1_extend_1 region_1_extend_2 region_2_2_move region_6_gen'
      stitch_boundaries_pairs = '1   3;
                                 1   3;
                                 0   2'
      merge_boundaries_with_same_name = false
  []
  [rename_boundary_stitch_1_2_6]
      type = RenameBoundaryGenerator
      input = stitch_1_2_6
      old_boundary = '1'
      new_boundary = '2'
  []
  [region_4_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.065 0.13'
      ix = '  2    2  '
      dy = '0.744166666666666 0.744166666666667 0.744166666666667'
      iy = ' 2 2 2'
      subdomain_id = '78 92
                      78 91
                      78 90'
  []
  [region_4_move]
      type = TransformGenerator
      transform = TRANSLATE
      vector_value = '1.2 2.40538 0'
      input = region_4_gen
  []
  [region_5_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.17 0.196'
      ix = '2     2'
      dy = '0.39  1.8425'
      iy = '2 4'
      subdomain_id = '100 104
                      100 104'
  []
  [region_5_move]
      type = TransformGenerator
      transform = TRANSLATE
      vector_value = '1.7 2.40538 0'
      input = region_5_gen
  []
  [region_5_extend]
      type = FillBetweenSidesetsGenerator
      input_mesh_1 = 'region_4_move'
      input_mesh_2 = 'region_5_move'
      boundary_1 = 1
      boundary_2 = 3
      num_layers = 2
      block_id= 96
      use_quad_elements = true
      keep_inputs = true
      begin_side_boundary_id = '0'
      end_side_boundary_id = '2'
  []
  [rename_boundary_region_5]
      type = RenameBoundaryGenerator
      input = region_5_extend
      old_boundary = '0'
      new_boundary = '3'
  []
  [stitch_1_2_6_5]
      type = StitchedMeshGenerator
      inputs = 'rename_boundary_stitch_1_2_6 rename_boundary_region_5'
      stitch_boundaries_pairs = '2     3'
      merge_boundaries_with_same_name = false
  []
  [region_7_gen]
      type = CartesianMeshGenerator
      dim = 2
      dx = '0.24 0.24 0.24 0.24 0.24 0.065 0.13 0.305 0.17 0.196'
      ix = '  2    2    2    2    2      2    2     2    2     2'
      dy = '0.744166666666667 0.744166666666667 0.744166666666667 0.744166666666667
            0.744166666666667 0.744166666666667 0.744166666666666 0.744166666666666
            0.744166666666666 0.458 0.86002'
      iy = '2 2 2 2 2 2 2 2 2 2 4'
      subdomain_id = '41 42 43 44 45 77 89 95 99 103
                      36 37 38 39 40 77 88 95 99 103
                      31 32 33 34 35 77 87 95 99 103
                      26 27 28 29 30 76 86 94 98 102
                      21 22 23 24 25 76 85 94 98 102
                      16 17 18 19 20 76 84 94 98 102
                      11 12 13 14 15 75 83 93 97 101
                       6  7  8  9 10 75 82 93 97 101
                       1  2  3  4  5 75 81 93 97 101
                      67 67 67 67 67 74 80 65 65  66
                      63 63 63 63 63 73 79 64 64  64'
  []
  [region_7_move]
      type = TransformGenerator
      transform = TRANSLATE
      vector_value = '0.0 4.63788 0'
      input = region_7_gen
  []
  [stitch]
    type = StitchedMeshGenerator
    inputs = 'stitch_1_2_6_5 region_7_move'
    stitch_boundaries_pairs = '2 0'
    merge_boundaries_with_same_name = false
  []
  [rename_boundary_1]
    type = BoundaryDeletionGenerator
    input = stitch
    boundary_names = '0 1 2 3'
  []
  [rename_boundary_2]
      type = SideSetsFromPointsGenerator
      input = rename_boundary_1
      new_boundary = '2 4 1 3'
      points = '1.2 0. 0.
                2.066 1.551 0.
                1.2 12.6534 0.
                0. 1.551 0.'
  []
  [rename_boundary_3]
      type = RenameBoundaryGenerator
      input = rename_boundary_2
      new_boundary = 'rbottom ssright rtop ssleft'
      old_boundary = '2 4 1 3'
  []
[rename_blocks]
      type = RenameBlockGenerator
      input = rename_boundary_3
      old_block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
                  21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
                  41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
                  61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
                  81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
                  101 102 103 104'
      new_block = 'pbedfuel001 pbedfuel002 pbedfuel003 pbedfuel004 pbedfuel005
                   pbedfuel006 pbedfuel007 pbedfuel008 pbedfuel009 pbedfuel010
                   pbedfuel011 pbedfuel012 pbedfuel013 pbedfuel014 pbedfuel015
                   pbedfuel016 pbedfuel017 pbedfuel018 pbedfuel019 pbedfuel020
                   pbedfuel021 pbedfuel022 pbedfuel023 pbedfuel024 pbedfuel025
                   pbedfuel026 pbedfuel027 pbedfuel028 pbedfuel029 pbedfuel030
                   pbedfuel031 pbedfuel032 pbedfuel033 pbedfuel034 pbedfuel035
                   pbedfuel036 pbedfuel037 pbedfuel038 pbedfuel039 pbedfuel040
                   pbedfuel041 pbedfuel042 pbedfuel043 pbedfuel044 pbedfuel045
                   pbedfuel046 pbedfuel047 pbedfuel048 pbedfuel049 pbedfuel050
                   pbedfuel051 pbedfuel052 pbedfuel053 pbedfuel054 pbedfuel055
                   pbedfuel056 pbedfuel057 pbedfuel058 pbedfuel059 pbedfuel060
                   consfuel061 dischfuel062 upref063 upref064 upref065 upref066
                   upcvt067 lwref068 outch069 lwrpln070 htleg071 lwref072 buffr073
                   buffr074 buffr075 buffr076 buffr077 buffr078 crds079 crds080
                   crds081 crds082 crds083 crds084 crds085 crds086 crds087 crds088
                   crds089 crds090 crds091 crds092 radrf093 radrf094 radrf095 radrf096
                   risr097 risr098 risr099 risr100 radrf101 radrf102 radrf103 radrf104'
  []
[]

[Variables]
  [T_solid]
    type = MooseVariableFVReal
    initial_condition = 100
  []
[]

[FVKernels]
  [energy_storage]
    type = FVTimeKernel
    variable = T_solid
  []
  [solid_energy_diffusion_core]
    type = FVAnisotropicDiffusion
    variable = T_solid
    coeff = 'effective_thermal_conductivity'
  []
[]

[FVBCs]
  [side_set_bc1]
    type = FVDirichletBC
    variable = T_solid
    value = '300'
    boundary = 'rtop'
  []
  [side_set_bc2]
    type = FVDirichletBC
    variable = T_solid
    value = '600'
    boundary = 'rbottom'
  []
[]


[Materials]
  [all_channels_porosity]
    type = ADGenericFunctorMaterial
    prop_names = 'porosity'
    prop_values = 0.5
  []
  [solid_blocks_full_density_graphite]
    type = ADGenericFunctorMaterial
    prop_names = 'rho_s cp_s k_s '
    prop_values = '1.0 2.0 3.0'
  []
  [effective_solid_thermal_conductivity_solid_only]
    type = ADGenericVectorFunctorMaterial
    prop_names = 'effective_thermal_conductivity'
    prop_values = 'k_s k_s k_s'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -ksp_gmres_restart -pc_factor_shift_type'
  petsc_options_value = 'lu        100                NONZERO'

  # Tolerances.
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-9
  line_search = none
  nl_max_its = 15

  [TimeStepper]
    type = IterationAdaptiveDT
    dt                 = 0.05
    cutback_factor     = 0.5
    growth_factor      = 2.00
    optimal_iterations = 6
  []

  # Steady state detection.
  steady_state_detection = true
  steady_state_tolerance = 1e-13

  abort_on_solve_fail = true
  num_steps = 1
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
  print_linear_converged_reason = false
  print_nonlinear_converged_reason = false
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)

## Units in the input file: m-Pa-s-K

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmax = 1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmin = 1
    xmax = 2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Variables]
  [temperature]
    initial_condition = 525.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 100.0
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    block = 'right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 800
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 250
    boundary = 'fixed_block_right'
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed'
  []
[]

[Materials]
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_hardness'
    prop_values = '8e3            16.2                       129' ## for stainless steel 304
    block = 'left_block'
  []

  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                             15' #for 99% pure Al
    block = 'right_block'
  []
[]

[UserObjects]
  [closed]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = steel_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_primary_subdomain
  []
  [aluminum_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
[]


[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false

  nl_rel_tol = 1e-14
  nl_max_its = 20
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_second/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  l_max_its = 30
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_cartesian_lms/frictionless-mortar-3d-friction.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
    c_t = 1e+2
    mu = 0.10
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'lm_x lm_y lm_z'
    primary_variable = 'disp_x disp_y disp_z'
    preconditioner = 'LU'
    is_lm_coupling_diagonal = true
    adaptive_condensation = true
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = ' NONZERO               1e-10'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  perf_graph = true
  exodus = true
  csv = true
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = lm_z
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = lm_z
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictionless_sec/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    extra_vector_tags = 'ref'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_loop.i)

mu = 1.0
rho = 1.0

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.1 0.8 0.1'
    dy = '0.1 0.8 0.1'
    ix = '5 20 5'
    iy = '5 20 5'
    subdomain_id = '1 1 1
                    1 2 1
                    1 1 1'
  []
  [delete_internal_part]
    type = BlockDeletionGenerator
    input = gen
    block = '2'
    new_boundary = 'wall-internal'
  []
  [lump_bdries_to_wall]
    type = RenameBoundaryGenerator
    input = delete_internal_part
    old_boundary = 'bottom right top left'
    new_boundary = 'wall-external wall-external wall-external wall-external'
  []
  [pump_domain]
    type = ParsedSubdomainMeshGenerator
    input = lump_bdries_to_wall
    combinatorial_geometry = 'x > 0.3 & x < 0.4 & y > 0.5'
    block_id = '3'
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = pump_domain
    old_block = '1 3'
    new_block = 'pipe pump'
  []
  [side_pump]
    type = ParsedGenerateSideset
    input = rename_blocks
    included_subdomains = 'pump'
    included_neighbors = 'pipe'
    new_sideset_name = 'pump_side'
    normal = '1 0 0'
    combinatorial_geometry = 'x > 0.35'
  []
[]

[GlobalParams]
  velocity_interp_method = 'rc'
  advected_interp_method = 'upwind'
  rhie_chow_user_object = 'rc'
[]

[Problem]
  material_coverage_check = False
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
    correct_volumetric_force = true
    volumetric_force_functors = 'pump_volume_force'
    volume_force_correction_method = 'pressure-consistent'
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [lambda]
    family = SCALAR
    order = FIRST
  []
[]

[AuxVariables]
  [U]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[AuxKernels]
  [mag]
    type = VectorMagnitudeAux
    variable = U
    x = vel_x
    y = vel_y
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    rho = ${rho}
  []
  [mean_zero_pressure]
    type = FVIntegralValueConstraint
    variable = pressure
    lambda = lambda
    phi0 = 0.0
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []
  [u_pump]
    type = INSFVPump
    variable = vel_x
    momentum_component = 'x'
    pump_volume_force = 'pump_volume_force'
    block = 'pump'
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
[]

[FVBCs]
  [walls-u]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_x
    function = '0'
  []
  [walls-v]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_y
    function = '0'
  []
[]

[Functions]
  [pump_head]
    type = PiecewiseLinear
    x = '0.0 10.0'
    y = '1000.0 0.0'
  []
[]

[FunctorMaterials]
  [pump_mat]
    type = NSFVPumpFunctorMaterial
    rho = ${rho}
    speed = 'U'
    pressure_head_function = 'pump_head'
    rotation_speed = 120
    rotation_speed_rated = 100
    area_rated = 0.1
    volume_rated = 0.01
    flow_rate_rated = 1.0
    flow_rate = 'flow_rate'
    block = 'pump'
  []
[]

[Postprocessors]
  [flow_rate]
    type = Receiver
    default = 1.0
  []
  [flow_rate_to_pipe]
    type = VolumetricFlowRate
    advected_quantity = ${rho}
    boundary = 'pump_side'
    vel_x = 'vel_x'
    vel_y = 'vel_y'
  []
  [maximum_speed]
    type = ADElementExtremeFunctorValue
    functor = vel_x
    value_type = max
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = false
  [out]
    type = CSV
    execute_on = FINAL
    show = 'flow_rate_to_pipe maximum_speed'
  []
[]

(modules/porous_flow/examples/tutorial/11.i)

# Two-phase borehole injection problem
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    input = annular
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'pwater pgas T disp_x disp_y'
    number_fluid_phases = 2
    number_fluid_components = 2
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    alpha = 1E-6
    m = 0.6
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  gravity = '0 0 0'
  biot_coefficient = 1.0
  PorousFlowDictator = dictator
[]

[Variables]
  [pwater]
    initial_condition = 20E6
  []
  [pgas]
    initial_condition = 20.1E6
  []
  [T]
    initial_condition = 330
    scaling = 1E-5
  []
  [disp_x]
    scaling = 1E-5
  []
  [disp_y]
    scaling = 1E-5
  []
[]

[Kernels]
  [mass_water_dot]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pwater
  []
  [flux_water]
    type = PorousFlowAdvectiveFlux
    fluid_component = 0
    use_displaced_mesh = false
    variable = pwater
  []
  [vol_strain_rate_water]
    type = PorousFlowMassVolumetricExpansion
    fluid_component = 0
    variable = pwater
  []
  [mass_co2_dot]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = pgas
  []
  [flux_co2]
    type = PorousFlowAdvectiveFlux
    fluid_component = 1
    use_displaced_mesh = false
    variable = pgas
  []
  [vol_strain_rate_co2]
    type = PorousFlowMassVolumetricExpansion
    fluid_component = 1
    variable = pgas
  []
  [energy_dot]
    type = PorousFlowEnergyTimeDerivative
    variable = T
  []
  [advection]
    type = PorousFlowHeatAdvection
    use_displaced_mesh = false
    variable = T
  []
  [conduction]
    type = PorousFlowHeatConduction
    use_displaced_mesh = false
    variable = T
  []
  [vol_strain_rate_heat]
    type = PorousFlowHeatVolumetricExpansion
    variable = T
  []
  [grad_stress_x]
    type = StressDivergenceTensors
    temperature = T
    variable = disp_x
    eigenstrain_names = thermal_contribution
    use_displaced_mesh = false
    component = 0
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    variable = disp_x
    use_displaced_mesh = false
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    temperature = T
    variable = disp_y
    eigenstrain_names = thermal_contribution
    use_displaced_mesh = false
    component = 1
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    variable = disp_y
    use_displaced_mesh = false
    component = 1
  []
[]

[AuxVariables]
  [disp_z]
  []
  [effective_fluid_pressure]
    family = MONOMIAL
    order = CONSTANT
  []
  [mass_frac_phase0_species0]
    initial_condition = 1 # all water in phase=0
  []
  [mass_frac_phase1_species0]
    initial_condition = 0 # no water in phase=1
  []
  [sgas]
    family = MONOMIAL
    order = CONSTANT
  []
  [swater]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_rr]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_tt]
    family = MONOMIAL
    order = CONSTANT
  []
  [stress_zz]
    family = MONOMIAL
    order = CONSTANT
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [effective_fluid_pressure]
    type = ParsedAux
    coupled_variables = 'pwater pgas swater sgas'
    expression = 'pwater * swater + pgas * sgas'
    variable = effective_fluid_pressure
  []
  [swater]
    type = PorousFlowPropertyAux
    variable = swater
    property = saturation
    phase = 0
    execute_on = timestep_end
  []
  [sgas]
    type = PorousFlowPropertyAux
    variable = sgas
    property = saturation
    phase = 1
    execute_on = timestep_end
  []
  [stress_rr]
    type = RankTwoScalarAux
    variable = stress_rr
    rank_two_tensor = stress
    scalar_type = RadialStress
    point1 = '0 0 0'
    point2 = '0 0 1'
    execute_on = timestep_end
  []
  [stress_tt]
    type = RankTwoScalarAux
    variable = stress_tt
    rank_two_tensor = stress
    scalar_type = HoopStress
    point1 = '0 0 0'
    point2 = '0 0 1'
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [porosity]
    type = PorousFlowPropertyAux
    variable = porosity
    property = porosity
    execute_on = timestep_end
  []
[]

[BCs]
  [roller_tmax]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = dmax
  []
  [roller_tmin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = dmin
  []
  [pinned_top_bottom_x]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'top bottom'
  []
  [pinned_top_bottom_y]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'top bottom'
  []
  [cavity_pressure_x]
    type = Pressure
    boundary = injection_area
    variable = disp_x
    component = 0
    postprocessor = constrained_effective_fluid_pressure_at_wellbore
    use_displaced_mesh = false
  []
  [cavity_pressure_y]
    type = Pressure
    boundary = injection_area
    variable = disp_y
    component = 1
    postprocessor = constrained_effective_fluid_pressure_at_wellbore
    use_displaced_mesh = false
  []

  [cold_co2]
    type = DirichletBC
    boundary = injection_area
    variable = T
    value = 290 # injection temperature
    use_displaced_mesh = false
  []
  [constant_co2_injection]
    type = PorousFlowSink
    boundary = injection_area
    variable = pgas
    fluid_phase = 1
    flux_function = -1E-4
    use_displaced_mesh = false
  []

  [outer_water_removal]
    type = PorousFlowPiecewiseLinearSink
    boundary = rmax
    variable = pwater
    fluid_phase = 0
    pt_vals = '0 1E9'
    multipliers = '0 1E8'
    PT_shift = 20E6
    use_mobility = true
    use_relperm = true
    use_displaced_mesh = false
  []
  [outer_co2_removal]
    type = PorousFlowPiecewiseLinearSink
    boundary = rmax
    variable = pgas
    fluid_phase = 1
    pt_vals = '0 1E9'
    multipliers = '0 1E8'
    PT_shift = 20.1E6
    use_mobility = true
    use_relperm = true
    use_displaced_mesh = false
  []
[]

[FluidProperties]
  [true_water]
    type = Water97FluidProperties
  []
  [tabulated_water]
    type = TabulatedFluidProperties
    fp = true_water
    temperature_min = 275
    pressure_max = 1E8
    interpolated_properties = 'density viscosity enthalpy internal_energy'
    fluid_property_output_file = water97_tabulated_11.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = water97_tabulated_11.csv
  []
  [true_co2]
    type = CO2FluidProperties
  []
  [tabulated_co2]
    type = TabulatedFluidProperties
    fp = true_co2
    temperature_min = 275
    pressure_max = 1E8
    interpolated_properties = 'density viscosity enthalpy internal_energy'
    fluid_property_output_file = co2_tabulated_11.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = co2_tabulated_11.csv
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
    temperature = T
  []
  [saturation_calculator]
    type = PorousFlow2PhasePP
    phase0_porepressure = pwater
    phase1_porepressure = pgas
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
  []
  [water]
    type = PorousFlowSingleComponentFluid
    fp = tabulated_water
    phase = 0
  []
  [co2]
    type = PorousFlowSingleComponentFluid
    fp = tabulated_co2
    phase = 1
  []
  [relperm_water]
    type = PorousFlowRelativePermeabilityCorey
    n = 4
    s_res = 0.1
    sum_s_res = 0.2
    phase = 0
  []
  [relperm_co2]
    type = PorousFlowRelativePermeabilityBC
    nw_phase = true
    lambda = 2
    s_res = 0.1
    sum_s_res = 0.2
    phase = 1
  []
  [porosity_mat]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    thermal = true
    porosity_zero = 0.1
    reference_temperature = 330
    reference_porepressure = 20E6
    thermal_expansion_coeff = 15E-6 # volumetric
    solid_bulk = 8E9 # unimportant since biot = 1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityKozenyCarman
    block = aquifer
    poroperm_function = kozeny_carman_phi0
    phi0 = 0.1
    n = 2
    m = 2
    k0 = 1E-12
  []
  [permeability_caps]
    type = PorousFlowPermeabilityKozenyCarman
    block = caps
    poroperm_function = kozeny_carman_phi0
    phi0 = 0.1
    n = 2
    m = 2
    k0 = 1E-15
    k_anisotropy = '1 0 0  0 1 0  0 0 0.1'
  []
  [rock_thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '2 0 0  0 2 0  0 0 2'
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 1100
    density = 2300
  []

  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 5E9
    poissons_ratio = 0.0
  []
  [strain]
    type = ComputeSmallStrain
    eigenstrain_names = 'thermal_contribution initial_stress'
  []
  [thermal_contribution]
    type = ComputeThermalExpansionEigenstrain
    temperature = T
    thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
    eigenstrain_name = thermal_contribution
    stress_free_temperature = 330
  []
  [initial_strain]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '20E6 0 0  0 20E6 0  0 0 20E6'
    eigenstrain_name = initial_stress
  []
  [stress]
    type = ComputeLinearElasticStress
  []

  [effective_fluid_pressure_mat]
    type = PorousFlowEffectiveFluidPressure
  []
  [volumetric_strain]
    type = PorousFlowVolumetricStrain
  []
[]

[Postprocessors]
  [effective_fluid_pressure_at_wellbore]
    type = PointValue
    variable = effective_fluid_pressure
    point = '1 0 0'
    execute_on = timestep_begin
    use_displaced_mesh = false
  []
  [constrained_effective_fluid_pressure_at_wellbore]
    type = FunctionValuePostprocessor
    function = constrain_effective_fluid_pressure
    execute_on = timestep_begin
  []
[]

[Functions]
  [constrain_effective_fluid_pressure]
    type = ParsedFunction
    symbol_names = effective_fluid_pressure_at_wellbore
    symbol_values = effective_fluid_pressure_at_wellbore
    expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E3
  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 1E3
    growth_factor = 1.2
    optimal_iterations = 10
  []
  nl_abs_tol = 1E-7
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/2drz/ad_frictionless_first/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ADComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = ADGenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(tutorials/shield_multiphysics/inputs/step11_multiapps/mesh2d_coarse.i)

[Mesh]
  [bulk]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.5 0.75 2.0'
    dy = '0.5 0.3 0.025 3.6 0.025 0.3 0.5'
    ix = '5 8 20'
    iy = '5 3 1 36 1 3 5'
    # bottom subdomain ids
    subdomain_id = '
      0 0 0
      0 2 1
      0 2 3
      0 2 4
      0 2 3
      0 1 1
      0 0 0
    '
    # top subdomain ids
  []
  [hollow_concrete]
    type = BlockDeletionGenerator
    input = bulk
    block = 4
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = hollow_concrete
    old_block = '0 1 2 3'
    new_block = 'concrete_hd concrete water Al'
  []
  [add_concrete_outer_boundary]
    type = RenameBoundaryGenerator
    input = rename_blocks
    old_boundary = 'left right bottom top'
    new_boundary = 'air_boundary symmetry ground air_boundary'
  []
  [add_water_concrete_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = add_concrete_outer_boundary
    primary_block = 'water water water'
    paired_block = 'concrete_hd concrete Al'
    new_boundary = 'water_boundary'
  []
  [add_water_concrete_interface_inwards]
    type = SideSetsBetweenSubdomainsGenerator
    input = add_water_concrete_interface
    primary_block = 'concrete_hd concrete Al'
    paired_block = 'water water water'
    new_boundary = 'water_boundary_inwards'
  []
  [add_water_bottom]
    type = SideSetsBetweenSubdomainsGenerator
    input = add_water_concrete_interface_inwards
    primary_block = water
    paired_block = concrete_hd
    normal = '0 -1 0'
    new_boundary = water_bottom
    replace = true
  []
  [add_inner_cavity_solid]
    type = SideSetsAroundSubdomainGenerator
    input = add_water_bottom
    block = Al
    new_boundary = 'inner_cavity_solid'
    include_only_external_sides = true
  []
  [add_inner_cavity_water]
    type = SideSetsAroundSubdomainGenerator
    input = add_inner_cavity_solid
    block = water
    new_boundary = 'inner_cavity_water'
    include_only_external_sides = true
  []
[]

(modules/contact/test/tests/mortar_tm/2drz/ad_frictionless_second/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    use_automatic_differentiation = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    value = 0
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ADComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = ADGenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d-rz/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_as_volume_force_loop_force_corrected.i)

mu = 1.0
rho = 1.0

[Mesh]
  [gen]
    type = CartesianMeshGenerator
    dim = 2
    dx = '0.1 0.8 0.1'
    dy = '0.1 0.8 0.1'
    ix = '5 20 5'
    iy = '5 20 5'
    subdomain_id = '1 1 1
                    1 2 1
                    1 1 1'
  []
  [delete_internal_part]
    type = BlockDeletionGenerator
    input = gen
    block = '2'
    new_boundary = 'wall-internal'
  []
  [lump_bdries_to_wall]
    type = RenameBoundaryGenerator
    input = delete_internal_part
    old_boundary = 'bottom right top left'
    new_boundary = 'wall-external wall-external wall-external wall-external'
  []
  [pump_domain]
    type = ParsedSubdomainMeshGenerator
    input = lump_bdries_to_wall
    combinatorial_geometry = 'x > 0.3 & x < 0.7 & y > 0.5'
    block_id = '3'
  []
  [rename_blocks]
    type = RenameBlockGenerator
    input = pump_domain
    old_block = '1 3'
    new_block = 'pipe pump'
  []
  [side_pump]
    type = ParsedGenerateSideset
    input = rename_blocks
    included_subdomains = 'pump'
    included_neighbors = 'pipe'
    new_sideset_name = 'pump_side'
    normal = '1 0 0'
    combinatorial_geometry = 'x > 0.35'
  []
[]

[GlobalParams]
  velocity_interp_method = 'rc'
  advected_interp_method = 'upwind'
  rhie_chow_user_object = 'rc'
[]

[Problem]
  material_coverage_check = False
[]

[UserObjects]
  [rc]
    type = INSFVRhieChowInterpolator
    u = vel_x
    v = vel_y
    pressure = pressure
    correct_volumetric_force = true
    volumetric_force_functors = 'pump_force'
    volume_force_correction_method = 'force-consistent'
  []
[]

[Variables]
  [vel_x]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [vel_y]
    type = INSFVVelocityVariable
    initial_condition = 1
  []
  [pressure]
    type = INSFVPressureVariable
  []
  [lambda]
    family = SCALAR
    order = FIRST
  []
[]

[AuxVariables]
  [U]
    order = CONSTANT
    family = MONOMIAL
    fv = true
  []
[]

[AuxKernels]
  [mag]
    type = VectorMagnitudeAux
    variable = U
    x = vel_x
    y = vel_y
  []
[]

[FVKernels]
  [mass]
    type = INSFVMassAdvection
    variable = pressure
    rho = ${rho}
  []
  [mean_zero_pressure]
    type = FVIntegralValueConstraint
    variable = pressure
    lambda = lambda
    phi0 = 0.0
  []

  [u_advection]
    type = INSFVMomentumAdvection
    variable = vel_x
    rho = ${rho}
    momentum_component = 'x'
  []
  [u_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_x
    mu = ${mu}
    momentum_component = 'x'
  []
  [u_pressure]
    type = INSFVMomentumPressure
    variable = vel_x
    momentum_component = 'x'
    pressure = pressure
  []
  [u_pump]
    type = INSFVBodyForce
    variable = vel_x
    momentum_component = 'x'
    functor = 'pump_force'
    block = 'pump'
  []

  [v_advection]
    type = INSFVMomentumAdvection
    variable = vel_y
    rho = ${rho}
    momentum_component = 'y'
  []
  [v_viscosity]
    type = INSFVMomentumDiffusion
    variable = vel_y
    mu = ${mu}
    momentum_component = 'y'
  []
  [v_pressure]
    type = INSFVMomentumPressure
    variable = vel_y
    momentum_component = 'y'
    pressure = pressure
  []
[]

[FVBCs]
  [walls-u]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_x
    function = '0'
  []
  [walls-v]
    type = INSFVNoSlipWallBC
    boundary = 'wall-internal wall-external'
    variable = vel_y
    function = '0'
  []
[]

[FunctorMaterials]
  [pump_force]
    type = PiecewiseByBlockFunctorMaterial
    prop_name = 'pump_force'
    subdomain_to_prop_value = 'pump 1000.0
                               pipe 0.0'
  []
[]

[Postprocessors]
  [flow_rate]
    type = Receiver
    default = 1.0
  []
  [flow_rate_to_pipe]
    type = VolumetricFlowRate
    advected_quantity = ${rho}
    boundary = 'pump_side'
    vel_x = 'vel_x'
    vel_y = 'vel_y'
  []
  [maximum_speed]
    type = ADElementExtremeFunctorValue
    functor = vel_x
    value_type = max
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = false
  [out]
    type = CSV
    execute_on = FINAL
    show = 'flow_rate_to_pipe maximum_speed'
  []
[]

(modules/reactor/test/tests/meshgenerators/reporting_id/cartesian_id/core_zigzag_reporting_id.i)

[Mesh]
  [pin1]
    type = ConcentricCircleMeshGenerator
    num_sectors = 2
    radii = '0.4 0.5'
    rings = '1 1 1'
    has_outer_square = on
    pitch = 1.26
    preserve_volumes = yes
    smoothing_max_it = 3
  []

  [pin2]
    type = ConcentricCircleMeshGenerator
    num_sectors = 2
    radii = '0.3 0.4'
    rings = '1 1 1'
    has_outer_square = on
    pitch = 1.26
    preserve_volumes = yes
    smoothing_max_it = 3
  []

  [pin_dummy]
    type = RenameBlockGenerator
    input = 'pin1'
    old_block = '1 2 3'
    new_block = '9999 9999 9999'
  []

  [assembly1]
    type = CartesianIDPatternedMeshGenerator
    inputs = 'pin1 pin2'
    pattern = ' 1  0  1  0;
                0  1  0  1;
                1  0  1  0;
                0  1  0  1'
    assign_type = 'cell'
    id_name = 'pin_id'
  []

  [assembly2]
    type = CartesianIDPatternedMeshGenerator
    inputs = 'pin1 pin2'
    pattern = ' 0  1  1  0;
                1  0  0  1;
                1  0  0  1;
                0  1  1  0'
    assign_type = 'cell'
    id_name = 'pin_id'
  []

  [assembly_dummy]
    type = CartesianIDPatternedMeshGenerator
    inputs = 'pin_dummy'
    pattern = ' 0  0  0  0;
                0  0  0  0;
                0  0  0  0;
                0  0  0  0'
    assign_type = 'cell'
    id_name = 'pin_id'
  []

  [core_base]
    type = CartesianIDPatternedMeshGenerator
    inputs = 'assembly1 assembly2 assembly_dummy'
    pattern = '0  1;
               2  0'
    assign_type = 'cell'
    id_name = 'assembly_id'
    exclude_id = 'assembly_dummy'
  []
  [core]
     type = BlockDeletionGenerator
     input = 'core_base'
     block = 9999 # dummy
     new_boundary = 'zagged'
  []
  final_generator = core
[]

[Executioner]
  type = Steady
[]

[Problem]
  solve = false
[]

[Outputs]
  [out]
    type = Exodus
    execute_on = timestep_end
    output_extra_element_ids = true
    extra_element_ids_to_output = 'pin_id assembly_id'
  []
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_second/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
    extra_vector_tags = 'ref'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/porous_flow/examples/tutorial/06_KT.i)

# Darcy flow with a tracer
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
  []
  [tracer_concentration]
  []
[]

[ICs]
  [tracer_concentration]
    type = FunctionIC
    function = '0.5*if(x*x+y*y<1.01,1,0)'
    variable = tracer_concentration
  []
[]

[PorousFlowFullySaturated]
  porepressure = porepressure
  coupling_type = Hydro
  gravity = '0 0 0'
  fp = the_simple_fluid
  mass_fraction_vars = tracer_concentration
  stabilization = KT
  flux_limiter_type = superbee
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 1E6
    boundary = injection_area
  []
  [constant_outer_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = rmax
  []
  [injected_tracer]
    type = DirichletBC
    variable = tracer_concentration
    value = 0.5
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    viscosity = 1.0E-3
    density0 = 1000.0
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_rel_tol = 1E-14
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/interface_heating_mortar/constraint_joule_heating_single_material_insulated.i)

## Units in the input file: m-Pa-s-K-V

# In this steady-state, symmetric simulation, the temperature at the interface between
# the two blocks of aluminum can be calculated through Fourier's law (see the documentation
# page for ADInterfaceJouleHeatingConstraint for the relevant formulas).
#
# With the prescribed 0.0 V (left) and 0.3V (right) potential boundary conditions, the
# electric potential drop is 9.25e6 [V * S / m^2]. From this current-density-like LM variable,
# the volumetric heat source at the interface is calculated as
#   q = 1.15625e6 [W/m^3}
# Because of the 2D nature of this problem, the volumetric heat source is equal to
# the negative of the heat flux at the interface.
#
# Finally, the temperature at the interface is computed as a function of the block width,
# thermal conductivity, and specified temperature boundary condition (300K on both the
# left and right edges):
#   T_{interface} = 850.5952K
# which matches the simulation result to the 6 decimal places shown.

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmax = 0.1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 100
    ny = 10
    xmin = 0.1
    xmax = 0.2
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  [interface_secondary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'fixed_block_left'
    new_block_id = 3
    new_block_name = 'interface_secondary_subdomain'
    input = block_rename
  []
  [interface_primary_subdomain]
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'moving_block_right'
    new_block_id = 4
    new_block_name = 'interface_primary_subdomain'
    input = interface_secondary_subdomain
  []
[]

[Problem]
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Variables]
  [temperature]
    initial_condition = 300.0
  []
  [potential]
  []
  [potential_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[AuxVariables]
  [interface_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'interface_secondary_subdomain'
    initial_condition = 1.0
  []
[]

[Kernels]
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block right_block'
  []
  [electric_aluminum]
    type = ADMatDiffusion
    variable = potential
    diffusivity = aluminum_electrical_conductivity
    extra_vector_tags = 'ref'
    block = 'left_block right_block'
  []
[]

[BCs]
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 300
    boundary = 'fixed_block_right'
  []

  [electric_left]
    type = ADDirichletBC
    variable = potential
    value = 0.0
    boundary = moving_block_left
  []
  [electric_right]
    type = ADDirichletBC
    variable = potential
    value = 3.0e-1
    boundary = fixed_block_right
  []
[]

[Constraints]
  [electrical_contact]
    type = ModularGapConductanceConstraint
    variable = potential_interface_lm
    secondary_variable = potential
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'closed_electric'
  []
  [interface_heating]
    type = ADInterfaceJouleHeatingConstraint
    potential_lagrange_multiplier = potential_interface_lm
    secondary_variable = temperature
    primary_electrical_conductivity = aluminum_electrical_conductivity
    secondary_electrical_conductivity = aluminum_electrical_conductivity
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
  []
[]

[Materials]
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_electrical_conductivity aluminum_hardness'
    prop_values = ' 2.7e3           210                           900.0                   3.7e7                           1.0' #for 99% pure Al
    block = 'left_block right_block interface_secondary_subdomain'
  []
[]

[UserObjects]
  [closed_electric]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = aluminum_electrical_conductivity
    secondary_conductivity = aluminum_electrical_conductivity
    temperature = potential
    contact_pressure = interface_normal_lm
    primary_hardness = aluminum_hardness
    secondary_hardness = aluminum_hardness
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [aluminum_interface_temperature]
    type = AverageNodalVariableValue
    variable = temperature
    block = interface_secondary_subdomain
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
  [aluminum_interface_potential]
    type = AverageNodalVariableValue
    variable = potential
    block = interface_secondary_subdomain
  []
  [interface_electrical_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = potential
    boundary = fixed_block_left
    diffusivity = aluminum_electrical_conductivity
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  nl_abs_tol = 2e-10
  nl_rel_tol = 1e-6
  nl_max_its = 50
  nl_forced_its = 1
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/electromagnetics/test/tests/interfacekernels/electrostatic_contact/analytic_solution_test_three_block.i)

# Regression test for ElectrostaticContactCondition with analytic solution with
# three blocks
#
# dim = 1D
# X = [0,3]
# Interfaces at X = 1 and X = 2
#
#   stainless_steel        graphite        stainless_steel
# +------------------+------------------+------------------+
#
# Left BC: Potential = 1
# Right BC: Potential = 0
# Left Interface: ElectrostaticContactCondition (primary = stainless_steel)
# Right Interface: ElectrostaticContactCondition (primary = graphite)
#

[Mesh]
  [line]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 6
    xmax = 3
  []
  [break_center]
    type = SubdomainBoundingBoxGenerator
    input = line
    block_id = 1
    block_name = 'graphite'
    bottom_left = '1 0 0'
    top_right = '2 0 0'
  []
  [break_right]
    type = SubdomainBoundingBoxGenerator
    input = break_center
    block_id = 2
    bottom_left = '2 0 0'
    top_right = '3 0 0'
  []
  [ssg_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = break_right
    primary_block = 0
    paired_block = 1
    new_boundary = 'ssg_interface'
  []
  [gss_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = ssg_interface
    primary_block = 1
    paired_block = 2
    new_boundary = 'gss_interface'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = gss_interface
    old_block = '0 2'
    new_block = 'stainless_steel_left stainless_steel_right'
  []
[]

[Variables]
  [potential_graphite]
    block = graphite
  []
  [potential_stainless_steel_left]
    block = stainless_steel_left
  []
  [potential_stainless_steel_right]
    block = stainless_steel_right
  []
[]

[AuxVariables]
  [analytic_potential_stainless_steel_left]
    block = stainless_steel_left
  []
  [analytic_potential_stainless_steel_right]
    block = stainless_steel_right
  []
  [analytic_potential_graphite]
    block = graphite
  []
[]

[Kernels]
  [electric_graphite]
    type = ADMatDiffusion
    variable = potential_graphite
    diffusivity = electrical_conductivity
    block = graphite
  []
  [electric_stainless_steel_left]
    type = ADMatDiffusion
    variable = potential_stainless_steel_left
    diffusivity = electrical_conductivity
    block = stainless_steel_left
  []
  [electric_stainless_steel_right]
    type = ADMatDiffusion
    variable = potential_stainless_steel_right
    diffusivity = electrical_conductivity
    block = stainless_steel_right
  []
[]

[AuxKernels]
  [analytic_function_aux_stainless_steel_left]
    type = FunctionAux
    function = potential_fxn_stainless_steel_left
    variable = analytic_potential_stainless_steel_left
    block = stainless_steel_left
  []
  [analytic_function_aux_stainless_steel_right]
    type = FunctionAux
    function = potential_fxn_stainless_steel_right
    variable = analytic_potential_stainless_steel_right
    block = stainless_steel_right
  []
  [analytic_function_aux_graphite]
    type = FunctionAux
    function = potential_fxn_graphite
    variable = analytic_potential_graphite
    block = graphite
  []
[]

[BCs]
  [elec_left]
    type = ADDirichletBC
    variable = potential_stainless_steel_left
    boundary = left
    value = 1
  []
  [elec_right]
    type = ADDirichletBC
    variable = potential_stainless_steel_right
    boundary = right
    value = 0
  []
[]

[InterfaceKernels]
  [electric_contact_conductance_ssg]
    type = ElectrostaticContactCondition
    variable = potential_stainless_steel_left
    neighbor_var = potential_graphite
    boundary = ssg_interface
    mean_hardness = mean_hardness
    mechanical_pressure = 3000
  []
  [electric_contact_conductance_gss]
    type = ElectrostaticContactCondition
    variable = potential_graphite
    neighbor_var = potential_stainless_steel_right
    boundary = gss_interface
    mean_hardness = mean_hardness
    mechanical_pressure = 3000
  []
[]

[Materials]
  #graphite (at 300 K)
  [sigma_graphite]
    type = ADGenericConstantMaterial
    prop_names = electrical_conductivity
    prop_values = 73069.2
    block = graphite
  []

  #stainless_steel (at 300 K)
  [sigma_stainless_steel_left]
    type = ADGenericConstantMaterial
    prop_names = electrical_conductivity
    prop_values = 1.41867e6
    block = stainless_steel_left
  []
  [sigma_stainless_steel_right]
    type = ADGenericConstantMaterial
    prop_names = electrical_conductivity
    prop_values = 1.41867e6
    block = stainless_steel_right
  []

  # harmonic mean of graphite and stainless steel hardness
  [mean_hardness]
    type = ADGenericConstantMaterial
    prop_names = mean_hardness
    prop_values = 2.4797e9
  []
[]

[Functions]
  [potential_fxn_stainless_steel_left]
    type = ElectricalContactTestFunc
    domain = stainless_steel
    three_block = true
    three_block_side = left
  []
  [potential_fxn_stainless_steel_right]
    type = ElectricalContactTestFunc
    domain = stainless_steel
    three_block = true
    three_block_side = right
  []
  [potential_fxn_graphite]
    type = ElectricalContactTestFunc
    domain = graphite
    three_block = true
  []
[]

[Postprocessors]
  [error_stainless_steel_left]
    type = ElementL2Error
    variable = potential_stainless_steel_left
    function = potential_fxn_stainless_steel_left
    block = stainless_steel_left
  []
  [error_graphite]
    type = ElementL2Error
    variable = potential_graphite
    function = potential_fxn_graphite
    block = graphite
  []
  [error_stainless_steel_right]
    type = ElementL2Error
    variable = potential_stainless_steel_right
    function = potential_fxn_stainless_steel_right
    block = stainless_steel_right
  []
[]


[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  automatic_scaling = true
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/porous_flow/examples/tutorial/05.i)

# Darcy flow with heat advection and conduction, using Water97 properties
[Mesh]
  [annular]
    type = AnnularMeshGenerator
    nr = 10
    rmin = 1.0
    rmax = 10
    growth_r = 1.4
    nt = 4
    dmin = 0
    dmax = 90
  []
  [make3D]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 12'
    num_layers = 3
    bottom_sideset = 'bottom'
    top_sideset = 'top'
    input = annular
  []
  [shift_down]
    type = TransformGenerator
    transform = TRANSLATE
    vector_value = '0 0 -6'
    input = make3D
  []
  [aquifer]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 -2'
    top_right = '10 10 2'
    input = shift_down
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x*x+y*y<1.01'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'aquifer'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '0 1'
    new_block = 'caps aquifer'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [porepressure]
    initial_condition = 1E6
  []
  [temperature]
    initial_condition = 313
    scaling = 1E-8
  []
[]

[PorousFlowBasicTHM]
  porepressure = porepressure
  temperature = temperature
  coupling_type = ThermoHydro
  gravity = '0 0 0'
  fp = the_simple_fluid
[]

[BCs]
  [constant_injection_porepressure]
    type = DirichletBC
    variable = porepressure
    value = 2E6
    boundary = injection_area
  []
  [constant_injection_temperature]
    type = DirichletBC
    variable = temperature
    value = 333
    boundary = injection_area
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = Water97FluidProperties
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.8
    solid_bulk_compliance = 2E-7
    fluid_bulk_modulus = 1E7
  []
  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '1E-15 0 0   0 1E-15 0   0 0 1E-16'
  []

  [thermal_expansion]
    type = PorousFlowConstantThermalExpansionCoefficient
    biot_coefficient = 0.8
    drained_coefficient = 0.003
    fluid_coefficient = 0.0002
  []
  [rock_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 2500.0
    specific_heat_capacity = 1200.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '10 0 0  0 10 0  0 0 10'
    block = 'caps aquifer'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1E6
  dt = 1E5
  nl_abs_tol = 1E-10
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/multi_component_mortar_thermal_conduction.i)

## Units in the input file: m-Pa-s-K

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [left_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmax = 1
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = moving_block
  []
  [left_block]
    type = SubdomainIDGenerator
    input = left_rectangle
    subdomain_id = 1
  []
  [right_rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 10
    xmin = 1.
    xmax = 2.
    ymin = 0
    ymax = 0.5
    boundary_name_prefix = fixed_block
    boundary_id_offset = 4
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right_rectangle
    subdomain_id = 2
  []
  [two_blocks]
    type = MeshCollectionGenerator
    inputs = 'left_block right_block'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = two_blocks
    old_block = '1 2'
    new_block = 'left_block right_block'
  []
  patch_update_strategy = iteration
[]

[Variables]
  [disp_x]
    block = 'left_block right_block'
  []
  [disp_y]
    block = 'left_block right_block'
  []
  [temperature]
    initial_condition = 525.0
  []
  [temperature_interface_lm]
    block = 'interface_secondary_subdomain'
  []
[]

[Physics]
  [SolidMechanics/QuasiStatic]
    [steel]
      strain = SMALL
      add_variables = false
      use_automatic_differentiation = true
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'left_block'
    []
    [aluminum]
      strain = SMALL
      add_variables = false
      use_automatic_differentiation = true
      additional_generate_output = 'vonmises_stress'
      additional_material_output_family = 'MONOMIAL'
      additional_material_output_order = 'FIRST'
      block = 'right_block'
    []
  []
[]

[Kernels]
  [HeatDiff_steel]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = steel_thermal_conductivity
    block = 'left_block'
  []
  [HeatTdot_steel]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = steel_heat_capacity
    density_name = steel_density
    block = 'left_block'
  []
  [HeatDiff_aluminum]
    type = ADHeatConduction
    variable = temperature
    thermal_conductivity = aluminum_thermal_conductivity
    block = 'right_block'
  []
  [HeatTdot_aluminum]
    type = ADHeatConductionTimeDerivative
    variable = temperature
    specific_heat = aluminum_heat_capacity
    density_name = aluminum_density
    block = 'right_block'
  []
[]

[BCs]
  [fixed_bottom_edge]
    type = ADDirichletBC
    variable = disp_y
    value = 0
    boundary = 'moving_block_bottom fixed_block_bottom'
  []
  [fixed_outer_edge]
    type = ADDirichletBC
    variable = disp_x
    value = 0
    boundary = 'fixed_block_right'
  []
  [displacement_left_block]
    type = ADFunctionDirichletBC
    variable = disp_x
    function = 'if(t<61, 2.0e-7, -2.0e-8*(t-60))'
    boundary = 'moving_block_left'
  []
  [temperature_left]
    type = ADDirichletBC
    variable = temperature
    value = 800
    boundary = 'moving_block_left'
  []
  [temperature_right]
    type = ADDirichletBC
    variable = temperature
    value = 250
    boundary = 'fixed_block_right'
  []
[]

[Contact]
  [interface]
    primary = moving_block_right
    secondary = fixed_block_left
    model = frictionless
    formulation = mortar
    correct_edge_dropping = true
  []
[]

[Constraints]
  [thermal_contact]
    type = ModularGapConductanceConstraint
    variable = temperature_interface_lm
    secondary_variable = temperature
    primary_boundary = moving_block_right
    primary_subdomain = interface_primary_subdomain
    secondary_boundary = fixed_block_left
    secondary_subdomain = interface_secondary_subdomain
    gap_flux_models = 'radiation closed'
    use_displaced_mesh = true
  []
[]

[Materials]
  [steel_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
    poissons_ratio = 0.29
    block = 'left_block'
  []
  [steel_stress]
    type = ADComputeLinearElasticStress
    block = 'left_block'
  []
  [steel_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity'
    prop_values = '  8e3          16.2                       0.5' ## for stainless steel 304
    block = 'left_block'
  []

  [aluminum_elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
    poissons_ratio = 0.36
    block = 'right_block'
  []
  [aluminum_stress]
    type = ADComputeLinearElasticStress
    block = 'right_block'
  []
  [aluminum_thermal_properties]
    type = ADGenericConstantMaterial
    prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity'
    prop_values = ' 2.7e3            210                          0.9'
    block = 'right_block'
  []
[]

[UserObjects]
  [radiation]
    type = GapFluxModelRadiation
    secondary_emissivity = 0.25
    primary_emissivity = 0.6
    temperature = temperature
    boundary = moving_block_right
  []
  [closed]
    type = GapFluxModelPressureDependentConduction
    primary_conductivity = steel_thermal_conductivity
    secondary_conductivity = aluminum_thermal_conductivity
    temperature = temperature
    contact_pressure = interface_normal_lm
    primary_hardness = 1.0
    secondary_hardness = 1.0
    boundary = moving_block_right
  []
[]

[Postprocessors]
  [steel_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 245
    variable = temperature
  []
  [aluminum_pt_interface_temperature]
    type = NodalVariableValue
    nodeid = 657
    variable = temperature
  []
  [aluminum_element_interface_stress]
    type = ElementalVariableValue
    variable = vonmises_stress
    elementid = 560
  []
  [interface_heat_flux_steel]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = moving_block_right
    diffusivity = steel_thermal_conductivity
  []
  [interface_heat_flux_aluminum]
    type = ADSideDiffusiveFluxAverage
    variable = temperature
    boundary = fixed_block_left
    diffusivity = aluminum_thermal_conductivity
  []
[]


[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = false
  line_search = 'none'

  # mortar contact solver options
  petsc_options = '-snes_converged_reason -pc_svd_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = ' lu       superlu_dist'
  snesmf_reuse_base = false

  nl_rel_tol = 1e-10
  nl_max_its = 20
  l_max_its = 50

  dt = 60
  end_time = 120
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/navier_stokes/examples/flow-over-circle/mesh.i)

[Mesh]
  # ------------------------------------------
  # Middle layer
  # ------------------------------------------
  [ccmg]
    type = ConcentricCircleMeshGenerator
    num_sectors = '${fparse refinement*2}'
    radii = '${circle_radius} ${fparse 1.2*circle_radius}'
    rings = '4 ${refinement} ${refinement}'
    has_outer_square = on
    pitch = ${pitch}
    preserve_volumes = off
    smoothing_max_it = 2
  []
  [in_between]
    type = SideSetsBetweenSubdomainsGenerator
    input = ccmg
    primary_block = 2
    paired_block = 1
    new_boundary = 'circle'
  []
  [delete_circle]
    type = BlockDeletionGenerator
    input = in_between
    block = '1'
  []
  [final_ccmg]
    type = RenameBlockGenerator
    input = delete_circle
    old_block = '2 3'
    new_block = '0 0'
  []
  [left]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${x_min}'
    xmax = '${fparse -pitch/2}'
    ymin = '${fparse -pitch/2}'
    ymax = '${fparse pitch/2}'
    nx = '${fparse refinement*2}'
    ny = '${fparse refinement*4+2}'
  []
  [right]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${fparse pitch/2}'
    xmax = '${x_max}'
    ymin = '${fparse -pitch/2}'
    ymax = '${fparse pitch/2}'
    nx = '${fparse refinement*40}'
    ny = '${fparse refinement*4+2}'
  []
  [combined_middle]
    type = StitchedMeshGenerator
    inputs = 'final_ccmg left right'
    stitch_boundaries_pairs = 'left right; right left'
    clear_stitched_boundary_ids = false
    prevent_boundary_ids_overlap = true
    merge_boundaries_with_same_name = true
  []

  [middle_top_sideset]
    input = combined_middle
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y > ${fparse pitch/2-rundoff}'
    normal = '0 1 0'
    new_sideset_name = 'middle_top'
  []
  [middle_bottom_sideset]
    input = middle_top_sideset
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y < ${fparse -pitch/2+rundoff}'
    normal = '0 -1 0'
    new_sideset_name = 'middle_bottom'
  []
  # ------------------------------------------
  # Top layer
  # ------------------------------------------
  [top_left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${x_min}'
    xmax = '${fparse -pitch/2}'
    ymin = '${fparse pitch/2}'
    ymax = '${y_max}'
    nx = '${fparse refinement*2}'
    ny = '${fparse refinement*2+1}'
  []
  [top_middle_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${fparse -pitch/2}'
    xmax = '${fparse pitch/2}'
    ymin = '${fparse pitch/2}'
    ymax = '${y_max}'
    nx = '${fparse refinement*4+2}'
    ny = '${fparse refinement*2+1}'
  []
  [top_right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${fparse pitch/2}'
    xmax = '${x_max}'
    ymin = '${fparse pitch/2}'
    ymax = '${y_max}'
    nx = '${fparse refinement*40}'
    ny = '${fparse refinement*2+1}'
  []
  [combined_top]
    type = StitchedMeshGenerator
    inputs = 'top_middle_block top_left_block top_right_block'
    stitch_boundaries_pairs = 'left right; right left'
    prevent_boundary_ids_overlap = true
    merge_boundaries_with_same_name = true
  []
  [top_bottom_sideset]
    input = combined_top
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y < ${fparse pitch/2+rundoff}'
    normal = '0 -1 0'
    new_sideset_name = 'top_bottom'
  []
  [combined_middle_top]
    type = StitchedMeshGenerator
    inputs = 'top_bottom_sideset middle_bottom_sideset'
    stitch_boundaries_pairs = 'top_bottom middle_top'
    clear_stitched_boundary_ids = false
    prevent_boundary_ids_overlap = true
    merge_boundaries_with_same_name = true
  []
  [create_fused_top_sideset]
    input = combined_middle_top
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y > ${fparse y_max-rundoff}'
    normal = '0 1 0'
    new_sideset_name = 'top_boundary'
  []
  # ------------------------------------------
  # Bottom layer
  # ------------------------------------------
  [bottom_left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${x_min}'
    xmax = '${fparse -pitch/2}'
    ymin = '${y_min}'
    ymax = '${fparse -pitch/2}'
    nx = '${fparse refinement*2}'
    ny = '${fparse refinement*2}'
  []
  [bottom_middle_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${fparse -pitch/2}'
    xmax = '${fparse pitch/2}'
    ymin = '${y_min}'
    ymax = '${fparse -pitch/2}'
    nx = '${fparse refinement*4+2}'
    ny = '${fparse refinement*2}'
  []
  [bottom_right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = '${fparse pitch/2}'
    xmax = '${x_max}'
    ymin = '${y_min}'
    ymax = '${fparse -pitch/2}'
    nx = '${fparse refinement*40}'
    ny = '${fparse refinement*2}'
  []
  [combined_bottom]
    type = StitchedMeshGenerator
    inputs = 'bottom_middle_block bottom_left_block bottom_right_block'
    stitch_boundaries_pairs = 'left right; right left'
    prevent_boundary_ids_overlap = true
    merge_boundaries_with_same_name = true
  []
  [bottom_top_sideset]
    input = combined_bottom
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y > ${fparse -pitch/2-rundoff}'
    normal = '0 1 0'
    new_sideset_name = 'bottom_top'
  []
  [combined_final]
    type = StitchedMeshGenerator
    inputs = 'create_fused_top_sideset bottom_top_sideset'
    stitch_boundaries_pairs = 'middle_bottom bottom_top'
    clear_stitched_boundary_ids = false
    prevent_boundary_ids_overlap = true
    merge_boundaries_with_same_name = true
  []
  [create_fused_bottom_sideset]
    input = combined_final
    type = ParsedGenerateSideset
    combinatorial_geometry = 'y < ${fparse y_min+rundoff}'
    normal = '0 -1 0'
    new_sideset_name = 'bottom_boundary'
  []
  # ------------------------------------------
  # Left and right boundaries
  # ------------------------------------------
  [create_fused_left_sideset]
    input = create_fused_bottom_sideset
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x < ${fparse x_min+rundoff}'
    normal = '-1 0 0'
    new_sideset_name = 'left_boundary'
  []
  [create_fused_right_sideset]
    input = create_fused_left_sideset
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x > ${fparse x_max-rundoff}'
    normal = '1 0 0'
    new_sideset_name = 'right_boundary'
  []
  [sideset_removal]
    input = create_fused_right_sideset
    type = BoundaryDeletionGenerator
    boundary_names = 'bottom top left right middle_bottom middle_top bottom_top top_bottom'
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d-test-derivative-trimming.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    c = 1.0e4
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/mortar_tm/2d/ad_frictionless_sec/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/verification/patch_tests/automatic_patch_update/iteration_adaptivity_parallel_node_face.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  coord_type = XYZ
  patch_update_strategy = iteration
  patch_size = 8
  ghosting_patch_size = 20
  [cube1]
    type = GeneratedMeshGenerator
    dim = 2
    boundary_name_prefix = cube1
    xmax = 1
    ymax = 1
    nx = 2
    ny = 2
  []
  [cube2]
    type = GeneratedMeshGenerator
    dim = 2
    boundary_name_prefix = cube2
    boundary_id_offset = 5
    xmax = 1
    ymax = 1
    nx = 2
    ny = 2
  []
  [block_id]
    type = SubdomainIDGenerator
    input = cube2
    subdomain_id = 2
  []
  [combine]
    inputs = 'cube1 block_id'
    type = CombinerGenerator
    positions = '0 0 0
                 0 1 0'
  []
  [rename2]
    type = RenameBlockGenerator
    input = combine
    old_block = '0 2'
    new_block = 'cube1 cube2'
  []
[]

[Adaptivity]
  initial_marker = box
  initial_steps = 1
  max_h_level = 1
  [Markers]
    [box]
      type = BoxMarker
      bottom_left = '0 0 0'
      top_right = '0.5 0.5 0'
      inside = refine
      outside = do_nothing
    []
  []
[]

[Variables]
  [disp_x]
    block = 'cube1 cube2'
  []
  [disp_y]
    block = 'cube1 cube2'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [cube1_mechanics]
    strain = FINITE
    block = 'cube1 cube2'
  []
[]

[BCs]
  [cube1_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = 'cube1_bottom '
    value = 0.0
  []
  [cube1_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = 'cube1_bottom '
    value = 0.0
  []
  [cube2_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = 'cube2_top'
    function = '-t'
    preset = false
  []
  [cube2_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = 'cube2_top'
    value = 0
  []
[]

[Materials]
  [cube1_elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 68.9e9
    poissons_ratio = 0.3
    block = 'cube1'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'cube1 cube2'
  []
  [cube2_elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 140e9
    poissons_ratio = 0.3
    block = 'cube2'
  []
[]

[Contact]
  [contactswell]
    secondary = cube1_top
    primary = cube2_bottom
    model = frictionless
    formulation = kinematic
    penalty = 1.0e6
    normalize_penalty = true
    tangential_tolerance = 0.1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'

  line_search = 'none'

  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-16
  nl_max_its = 50

  l_tol = 1e-4
  l_max_its = 50

  start_time = 0.0
  end_time = 0.02e-3

  dtmax = 4
  dtmin = 0.001e-3
  dt = 0.01e-3

  automatic_scaling = true
  off_diagonals_in_auto_scaling = true
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  execute_on = 'FINAL'
[]

(modules/contact/test/tests/verification/patch_tests/automatic_patch_update/iteration_adaptivity_parallel.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  coord_type = XYZ
  patch_update_strategy = iteration
  patch_size = 8
  ghosting_patch_size = 20
  [cube1]
    type = GeneratedMeshGenerator
    dim = 2
    boundary_name_prefix = cube1
    xmax = 1
    ymax = 1
    nx = 2
    ny = 2
  []
  [cube2]
    type = GeneratedMeshGenerator
    dim = 2
    boundary_name_prefix = cube2
    boundary_id_offset = 5
    xmax = 1
    ymax = 1
    nx = 2
    ny = 2
  []
  [block_id]
    type = SubdomainIDGenerator
    input = cube2
    subdomain_id = 2
  []
  [combine]
    inputs = 'cube1 block_id'
    type = CombinerGenerator
    positions = '0 0 0
                 0 1 0'
  []
  [rename2]
    type = RenameBlockGenerator
    input = combine
    old_block = '0 2'
    new_block = 'cube1 cube2'
  []
[]

[Adaptivity]
  initial_marker = box
  initial_steps = 1
  max_h_level = 1
  [Markers]
    [box]
      type = BoxMarker
      bottom_left = '0 0 0'
      top_right = '0.5 0.5 0'
      inside = refine
      outside = do_nothing
    []
  []
[]

[Variables]
  [disp_x]
    block = 'cube1 cube2'
  []
  [disp_y]
    block = 'cube1 cube2'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [cube1_mechanics]
    strain = FINITE
    block = 'cube1 cube2'
  []
[]

[BCs]
  [cube1_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = 'cube1_bottom '
    value = 0.0
  []
  [cube1_y]
    type = ADDirichletBC
    variable = disp_y
    boundary = 'cube1_bottom '
    value = 0.0
  []
  [cube2_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = 'cube2_top'
    function = '-t'
    preset = false
  []
  [cube2_x]
    type = ADDirichletBC
    variable = disp_x
    boundary = 'cube2_top'
    value = 0
  []
[]

[Materials]
  [cube1_elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 68.9e9
    poissons_ratio = 0.3
    block = 'cube1'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'cube1 cube2'
  []
  [cube2_elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 140e9
    poissons_ratio = 0.3
    block = 'cube2'
  []
[]

[Contact]
  [contactswell]
    secondary = cube1_top
    primary = cube2_bottom
    model = frictionless
    formulation = mortar_penalty
    penalty = 1.0e12
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'

  line_search = 'none'

  nl_rel_tol = 1e-9
  nl_abs_tol = 1e-9
  nl_max_its = 50

  l_tol = 1e-4
  l_max_its = 50

  start_time = 0.0
  end_time = 0.02e-3

  dtmax = 4
  dtmin = 0.001e-3
  dt = 0.01e-3

  automatic_scaling = true
  off_diagonals_in_auto_scaling = true
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  print_linear_residuals = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d-rz/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  coord_type = RZ
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]