PorousFlowFullySaturatedHeatAdvection

Heat flux that arises from the advection of a fully-saturated single phase fluid. No upwinding is used

Describes the differential term $var element = document.getElementById("moose-equation-fc8d1c00-c703-4596-97fd-736a90a977ea");katex.render("-\\nabla\\cdot ((\\rho)h k(\\nabla P - \\rho \\mathbf{g})/\\mu) \\ .", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ The nomenclature is described here. This is fully-saturated, multi-component, single-phase Darcy flow for fluid component $var element = document.getElementById("moose-equation-83ae2426-3900-4a18-a8c7-3625b59c81cc");katex.render("\\kappa", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ .

note

Although the multiplication by $var element = document.getElementById("moose-equation-51fdbded-0ed4-47e0-b9a3-0999f54994d7");katex.render("\\rho", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is optional, you should almost always set multiply_by_density=true

note

No upwinding is performed, which means many nodal Material properties are not needed and numerical diffusion is reduced. However, the numerics are less well controlled: the whole point of full upwinding is to prevent over-shoots and under-shoots in the temperature, etc. Other Kernels implement Kuzmin-Turek TVD stabilization.

Input Parameters

PorousFlowDictatorThe UserObject that holds the list of PorousFlow variable names
C++ Type:UserObjectName
Options:
Description:The UserObject that holds the list of PorousFlow variable names
gravityGravitational acceleration vector downwards (m/s^2)
C++ Type:libMesh::VectorValue
Options:
Description:Gravitational acceleration vector downwards (m/s^2)
variableThe name of the variable that this Kernel operates on
C++ Type:NonlinearVariableName
Options:
Description:The name of the variable that this Kernel operates on

Required Parameters

blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
displacementsThe displacements
C++ Type:std::vector
Options:
Description:The displacements
multiply_by_densityTrueIf true, then this Kernel is the fluid mass flux. If false, then this Kernel is the fluid volume flux (which is common in poro-mechanics)
Default:True
C++ Type:bool
Options:
Description:If true, then this Kernel is the fluid mass flux. If false, then this Kernel is the fluid volume flux (which is common in poro-mechanics)

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Options:
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Options:
Description:Determines whether this object is calculated using an implicit or explicit form
save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Options:
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Options:
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Options:
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector
Options:
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector
Options:
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime system
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime time
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

Input Files

modules/porous_flow/test/tests/heat_advection/heat_advection_1d_fully_saturated.i
modules/porous_flow/test/tests/jacobian/heat_advection01_fully_saturated.i

modules/porous_flow/test/tests/heat_advection/heat_advection_1d_fully_saturated.i

# 1phase, heat advecting with a moving fluid
# Using the FullySaturated Kernel
[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 50
  xmin = 0
  xmax = 1
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '0 0 0'
[]

[Variables]
  [./temp]
    initial_condition = 200
  [../]
  [./pp]
  [../]
[]

[ICs]
  [./pp]
    type = FunctionIC
    variable = pp
    function = '1-x'
  [../]
[]

[BCs]
  [./pp0]
    type = DirichletBC
    variable = pp
    boundary = left
    value = 1
  [../]
  [./pp1]
    type = DirichletBC
    variable = pp
    boundary = right
    value = 0
  [../]
  [./spit_heat]
    type = DirichletBC
    variable = temp
    boundary = left
    value = 300
  [../]
  [./suck_heat]
    type = DirichletBC
    variable = temp
    boundary = right
    value = 200
  [../]
[]

[Kernels]
  [./mass_dot]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pp
  [../]
  [./advection]
    type = PorousFlowFullySaturatedDarcyBase
    variable = pp
  [../]
  [./energy_dot]
    type = PorousFlowEnergyTimeDerivative
    variable = temp
  [../]
  [./convection]
    type = PorousFlowFullySaturatedHeatAdvection
    variable = temp
  [../]
[]

[UserObjects]
  [./dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'temp pp'
    number_fluid_phases = 1
    number_fluid_components = 1
  [../]
[]

[Modules]
  [./FluidProperties]
    [./simple_fluid]
      type = SimpleFluidProperties
      bulk_modulus = 100
      density0 = 1000
      viscosity = 4.4
      thermal_expansion = 0
      cv = 2
    [../]
  [../]
[]

[Materials]
  [./temperature]
    type = PorousFlowTemperature
    temperature = temp
  [../]
  [./porosity]
    type = PorousFlowPorosityConst
    porosity = 0.2
  [../]
  [./rock_heat]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 1.0
    density = 125
  [../]
  [./simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  [../]
  [./permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1.1 0 0 0 2 0 0 0 3'
  [../]
  [./massfrac]
    type = PorousFlowMassFraction
  [../]
  [./PS]
    type = PorousFlow1PhaseFullySaturated
    porepressure = pp
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres bjacobi 1E-15 1E-10 10000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 0.01
  end_time = 0.6
[]

[VectorPostprocessors]
  [./T]
    type = LineValueSampler
    start_point = '0 0 0'
    end_point = '1 0 0'
    num_points = 51
    sort_by = x
    variable = temp
  [../]
[]

[Outputs]
  file_base = heat_advection_1d_fully_saturated
  [./csv]
    type = CSV
    sync_times = '0.1 0.6'
    sync_only = true
  [../]
[]

modules/porous_flow/test/tests/jacobian/heat_advection01_fully_saturated.i

# 1phase, using fully-saturated version, heat advection
[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  xmin = 0
  xmax = 1
  ny = 1
  ymin = 0
  ymax = 1
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [./temp]
  [../]
  [./pp]
  [../]
[]

[ICs]
  [./temp]
    type = RandomIC
    variable = temp
    max = 1.0
    min = 0.0
  [../]
  [./pp]
    type = RandomIC
    variable = pp
    max = 0.0
    min = -1.0
  [../]
[]

[Kernels]
  [./pp]
    type = TimeDerivative
    variable = pp
  [../]
  [./heat_advection]
    type = PorousFlowFullySaturatedHeatAdvection
    variable = temp
    gravity = '1 2 3'
  [../]
[]

[UserObjects]
  [./dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'temp pp'
    number_fluid_phases = 1
    number_fluid_components = 1
  [../]
[]

[Modules]
  [./FluidProperties]
    [./simple_fluid]
      type = SimpleFluidProperties
      bulk_modulus = 0.5
      density0 = 1.1
      thermal_expansion = 0
      viscosity = 1
      cv = 1.1
    [../]
  [../]
[]

[Materials]
  [./temperature]
    type = PorousFlowTemperature
    temperature = temp
  [../]
  [./permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1 0 0 0 2 0 0 0 3'
  [../]
  [./PS]
    type = PorousFlow1PhaseFullySaturated
    porepressure = pp
  [../]
  [./simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  [../]
[]

[Preconditioning]
  active = check
  [./check]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
    petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 1
  end_time = 1
[]

[Outputs]
  exodus = false
[]

References

Input Parameters
Input Files
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