VariableTimeIntegrationAux

under construction:Undocumented Class

The VariableTimeIntegrationAux has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.


# VariableTimeIntegrationAux

!syntax description /AuxKernels/VariableTimeIntegrationAux

## Overview

!! Replace these lines with information regarding the VariableTimeIntegrationAux object.

## Example Input File Syntax

!! Describe and include an example of how to use the VariableTimeIntegrationAux object.

!syntax parameters /AuxKernels/VariableTimeIntegrationAux

!syntax inputs /AuxKernels/VariableTimeIntegrationAux

!syntax children /AuxKernels/VariableTimeIntegrationAux

!syntax description /AuxKernels/VariableTimeIntegrationAux

Input Parameters

variableThe name of the variable that this object applies to
C++ Type:AuxVariableName
Options:
Description:The name of the variable that this object applies to
variable_to_integrateThe variable to be integrated
C++ Type:std::vector
Options:
Description:The variable to be integrated

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
boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector
Options:
Description:The list of boundary IDs from the mesh where this boundary condition applies
coefficient1A simple coefficient
Default:1
C++ Type:double
Options:
Description:A simple coefficient
execute_onLINEAR TIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM, PRE_DISPLACE.
Default:LINEAR TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE INITIAL LINEAR NONLINEAR TIMESTEP_END TIMESTEP_BEGIN FINAL CUSTOM PRE_DISPLACE
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM, PRE_DISPLACE.
order2The order of global truncation error: midpoint=1, trapazoidal=2, Simpson=3
Default:2
C++ Type:unsigned int
Options:
Description:The order of global truncation error: midpoint=1, trapazoidal=2, Simpson=3

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.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
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

Input Files

test/tests/auxkernels/time_integration/time_integration.i

test/tests/auxkernels/time_integration/time_integration.i

# This test covers the usage of the VariableTimeIntegrationAux
# kernel. Here we test three different schemes for integrating a field
# variable in time.  Midpoint, Trapezoidal, and Simpson's rule are
# used.  For this test, we use a manufactured solution and we compare
# the Trapezoidal and Simpson's rule, which must be exact for this
# exact solution, which is a linear function of time.
#
# The set up problem is
#
#  du/dt - Laplacian(u) = Q
#
# with exact solution: u = t*(x*x+y*y).
[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD9
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [./dts]
    type = PiecewiseLinear
    x = '0.01 0.1'
    y = '0.005 0.05'
  [../]
[]

[Variables]
  [./u]
    initial_condition = 0.0
    family = LAGRANGE
    order = SECOND
  [../]
[]

[Kernels]
  active = 'diff timederivative sourceterm'
  [./diff]
     type = Diffusion
     variable = u
  [../]
  [./timederivative]
     type = TimeDerivative
     variable = u
  [../]
  [./sourceterm]
     type = BodyForce
     variable = u
     function = Source
  [../]
[]

[AuxVariables]
  active = 'v_midpoint v_trapazoid v_simpson'
  [./v_midpoint]
  [../]
  [./v_trapazoid]
  [../]
  [./v_simpson]
  [../]
[]

[AuxKernels]
  [./MidpointTimeIntegrator]
    type = VariableTimeIntegrationAux
    variable_to_integrate = u
    variable = v_midpoint
    order = 1
  [../]
  [./TrapazoidalTimeIntegrator]
    type = VariableTimeIntegrationAux
    variable_to_integrate = u
    variable = v_trapazoid
    order = 2
  [../]
  [./SimpsonsTimeIntegrator]
    type = VariableTimeIntegrationAux
    variable_to_integrate = u
    variable = v_simpson
    order = 3
  [../]
[]

[BCs]
  active = 'RightBC LeftBC TopBC BottomBC'
 [./RightBC]
    type = FunctionDirichletBC
    variable = u
    function = RightBC
    boundary = 'right'
 [../]
 [./LeftBC]
    type = FunctionDirichletBC
    variable = u
    function = LeftBC
    boundary = 'left'
 [../]
 [./TopBC]
    type = FunctionDirichletBC
    variable = u
    function = TopBC
    boundary = 'top'
 [../]
 [./BottomBC]
    type = FunctionDirichletBC
    variable = u
    function = BottomBC
    boundary = 'bottom'
 [../]
[]

[Functions]
  active = 'Soln Source TopBC BottomBC RightBC LeftBC'
 [./Soln]
    type = ParsedFunction
    value = 't*(x*x+y*y)'
 [../]
 [./Source]
    type = ParsedFunction
    value = '(x*x + y*y) - 4*t'
 [../]
 [./TopBC]
    type = ParsedFunction
    value = 't*(x*x+1)'
 [../]
 [./BottomBC]
    type = ParsedFunction
    value = 't*x*x'
 [../]
 [./RightBC]
   type = ParsedFunction
   value = 't*(y*y+1)'
 [../]
 [./LeftBC]
    type = ParsedFunction
    value = 't*y*y'
  [../]
[]
[Postprocessors]
  [./l2_error]
    type = NodalL2Error
    variable = u
    function = Soln
  [../]
[]

[Executioner]
  type = Transient

  end_time = 0.1
#  dt = 0.1
#  num_steps = 10
  [./TimeStepper]
     type = FunctionDT
     function = dts
  [../]

  nl_abs_tol = 1.e-15
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

Input Parameters
Input Files

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