EnclosureSinkScalarKernel

Implements the residual describing a sink term for an enclosure with species exiting into a structure.

Overview

This object implements the residual

$var element = document.getElementById("moose-equation-b05b63ad-30e2-4a7a-ba4d-360de5ae9429");katex.render("\\frac{\\Gamma A}{V} \\zeta", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-f6349da7-f22f-4fc2-b9b8-0a8b73c5429a");katex.render("\\Gamma", element, {displayMode:false,throwOnError:false});$ is the flux of the specie exiting the enclosure and entering the structure, $var element = document.getElementById("moose-equation-fff8485f-7b2a-4053-a81f-7d8922b569a6");katex.render("A", element, {displayMode:false,throwOnError:false});$ is the surface area of the structure contacting the enclosure, $var element = document.getElementById("moose-equation-20c9268c-3578-4fd9-9827-c00c77654f65");katex.render("V", element, {displayMode:false,throwOnError:false});$ is the enclosure volume, and $var element = document.getElementById("moose-equation-7a0f5e80-7215-49d2-8d09-64ef6169e84b");katex.render("\\zeta", element, {displayMode:false,throwOnError:false});$ is a conversion factor from concentration to pressure units. The units of the returned residual are pressure/time.

Input Parameters

fluxName of the Postprocessor whose value will be the flux
C++ Type:PostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:Name of the Postprocessor whose value will be the flux
surface_areaThe surface area of the structure
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The surface area of the structure
variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
volumeThe volume of the enclosure
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The volume of the enclosure

Required Parameters

concentration_to_pressure_conversion_factor1The constant for converting from units of concentration to units of pressure
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The constant for converting from units of concentration to units of pressure
matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)

Optional Parameters

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
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<TagName>
Controllable:No
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
Controllable:No
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
Controllable:No
Description:The tag for the vectors this Kernel should fill

Contribution To Tagged Field Data Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
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
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
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
Controllable:No
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

Input Files

(test/tests/ver-1a/ver-1a.i)

(test/tests/ver-1a/ver-1a.i)

# Verification Problem #1a from TMAP4/TMAP7 V&V document
# Tritium diffusion through SiC layer with depleting source at 2100 C.
# No Soret effect, solubility, or trapping included.

# Physical Constants
# Note that we do NOT use the same number of digits as in TMAP4/TMAP7.
# This is to be consistent with PhysicalConstant.h
kb = '${units 1.380649e-23 J/K}' # Boltzmann constant
R = '${units 8.31446261815324 J/mol/K}' # Gas constant

# Data used in TMAP4/TMAP7 case
temperature = '${units 2373 K}'
initial_pressure = '${units 1e6 Pa}'
volume_enclosure = '${units 5.20e-11 m^3 -> mum^3}'
surface_area = '${units 2.16e-6 m^2 -> mum^2}'
diffusivity_SiC = '${units ${fparse 1.58e-4*exp(-308000.0/(R*temperature))} m^2/s -> mum^2/s}'
solubility_constant = '${units ${fparse 7.244e22 / temperature} at/m^3/Pa -> at/mum^3/Pa}'
slab_thickness = '${units 3.30e-5 m -> mum}'

# Useful equations/conversions
concentration_to_pressure_conversion_factor = '${units ${fparse kb*temperature} Pa*m^3 -> Pa*mum^3}'

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 150
  xmax = '${slab_thickness}'
[]

[Variables]
  # concentration in the SiC layer in atoms/microns^3
  [u]
  []
  # pressure of the enclosure in Pa
  [v]
    family = SCALAR
    order = FIRST
    initial_condition = '${fparse initial_pressure}'
  []
[]

[Kernels]
  [diff]
    type = MatDiffusion
    variable = u
    diffusivity = '${diffusivity_SiC}'
  []
  [time]
    type = TimeDerivative
    variable = u
  []
[]

[ScalarKernels]
  [time]
    type = ODETimeDerivative
    variable = v
  []
  [flux_sink]
    type = EnclosureSinkScalarKernel
    variable = v
    flux = scaled_flux_surface_left
    surface_area = '${surface_area}'
    volume = '${volume_enclosure}'
    concentration_to_pressure_conversion_factor = '${concentration_to_pressure_conversion_factor}'
  []
[]

[BCs]
  # The concentration on the outer boundary of the SiC layer is kept at 0
  [right]
    type = DirichletBC
    value = 0
    variable = u
    boundary = 'right'
  []
  # The surface of the slab in contact with the source is assumed to be in equilibrium with the source enclosure
  [left]
    type = EquilibriumBC
    variable = u
    enclosure_var = v
    boundary = 'left'
    Ko = '${solubility_constant}'
    temperature = ${temperature}
  []
[]

[Postprocessors]
  # flux of tritium through the outer SiC surface - compare to TMAP7
  [flux_surface_right]
    type = SideDiffusiveFluxIntegral
    variable = u
    diffusivity = '${diffusivity_SiC}'
    boundary = 'right'
    execute_on = 'initial nonlinear linear timestep_end'
    outputs = 'console csv exodus'
  []
  # flux of tritium through the surface of SiC layer in contact with enclosure
  [flux_surface_left]
    type = SideDiffusiveFluxIntegral
    variable = u
    diffusivity = '${diffusivity_SiC}'
    boundary = 'left'
    execute_on = 'initial nonlinear linear timestep_end'
    outputs = ''
  []
  # scale the flux to get inward direction
  [scaled_flux_surface_left]
    type = ScalePostprocessor
    scaling_factor = -1
    value = flux_surface_left
    execute_on = 'initial nonlinear linear timestep_end'
    outputs = 'console csv exodus'
  []
  # integral of the tritium flux through outer surface of SiC layer
  [integral_release_flux_right]
    type = PressureReleaseFluxIntegral
    variable = u
    boundary = 'right'
    diffusivity = '${diffusivity_SiC}'
    surface_area = '${surface_area}'
    volume = '${volume_enclosure}'
    concentration_to_pressure_conversion_factor = '${concentration_to_pressure_conversion_factor}'
    outputs = 'console'
  []
  # cumulative sum of integral_release_flux_right over time (i.e. cumulative amount released)
  [cumulative_release_right]
    type = CumulativeValuePostprocessor
    postprocessor = 'integral_release_flux_right'
    outputs = 'console'
  []
  # released fraction based on outer layer flux - compare to TMAP4
  [released_fraction_right]
    type = ScalePostprocessor
    value = 'cumulative_release_right'
    scaling_factor = '${fparse 1./(initial_pressure)}'
    outputs = 'console csv exodus'
  []
  # Make a postprocessor take the value of the scalar value v
  [v_value]
    type = ScalarVariable
    variable = v
  []
  # released fraction based on inner layer flux on v - compare to TMAP7
  [released_fraction_left]
    type = LinearCombinationPostprocessor
    pp_names = 'v_value'
    pp_coefs = '${fparse -1./(initial_pressure)}'
    b = 1
  []
[]

[Executioner]
  type = Transient
  dt = .1
  end_time = 140
  solve_type = PJFNK
  automatic_scaling = true
  dtmin = .1
  l_max_its = 30
  nl_max_its = 5
  petsc_options = '-snes_converged_reason -ksp_monitor_true_residual'
  petsc_options_iname = '-pc_type -mat_mffd_err'
  petsc_options_value = 'lu       1e-5'
  line_search = 'bt'
  scheme = 'bdf2'
  timestep_tolerance = 1e-8
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
  perf_graph = true
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
  [csv]
    type = CSV
    execute_on = 'initial timestep_end'
  []
[]

Overview
Input Parameters
Input Files