ImplicitMidpoint

construction:Undocumented Class

The ImplicitMidpoint 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.


# ImplicitMidpoint

!syntax description /Executioner/TimeIntegrator/ImplicitMidpoint

## Overview

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

## Example Input File Syntax

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

!syntax parameters /Executioner/TimeIntegrator/ImplicitMidpoint

!syntax inputs /Executioner/TimeIntegrator/ImplicitMidpoint

!syntax children /Executioner/TimeIntegrator/ImplicitMidpoint

Second-order Runge-Kutta (implicit midpoint) time integration.

Input Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.

Input Files

(test/tests/time_integrators/convergence/implicit_convergence.i)
(test/tests/time_integrators/scalar/scalar.i)

(test/tests/time_integrators/convergence/implicit_convergence.i)

[Mesh]
  type = GeneratedMesh
  dim  = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx   = 4
  ny   = 4
  elem_type = QUAD9
[]

[Variables]
  active = 'u'

  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    value = t*t*t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    value = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
    preset = false
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  start_time = 0.0
  end_time = 1.0
  dt = 0.0625

 [./TimeIntegrator]
   type = ImplicitMidpoint
 [../]
[]

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

(test/tests/time_integrators/scalar/scalar.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 1
  ny = 1
  elem_type = QUAD4
[]

[Variables]
  [./n]
    family = SCALAR
    order = FIRST
    initial_condition = 1
  [../]
[]

[ScalarKernels]
  [./dn]
    type = ODETimeDerivative
    variable = n
  [../]
  [./ode1]
    type = ParsedODEKernel
    function = '-n'
    variable = n
    # implicit = false
  [../]
[]

[Executioner]
  type = Transient
  [./TimeIntegrator]
    # type = ImplicitEuler
    # type = BDF2
    type = CrankNicolson
    # type = ImplicitMidpoint
    # type = LStableDirk2
    # type = LStableDirk3
    # type = LStableDirk4
    # type = AStableDirk4
    #
    # Explicit methods
    # type = ExplicitEuler
    # type = ExplicitMidpoint
    # type = Heun
    # type = Ralston
  [../]
  start_time = 0
  end_time = 1
  dt = 0.001
  dtmin = 0.001 # Don't allow timestep cutting
  solve_type = 'PJFNK'
  nl_max_its = 2
  nl_abs_tol = 1.e-12 # This is an ODE, so nl_abs_tol makes sense.
[]

[Functions]
  [./exact_solution]
    type = ParsedFunction
    value = exp(t)
  [../]
[]

[Postprocessors]
  [./error_n]
    # Post processor that computes the difference between the computed
    # and exact solutions.  For the exact solution used here, the
    # error at the final time should converge at O(dt^p), where p is
    # the order of the method.
    type = ScalarL2Error
    variable = n
    function = exact_solution
    # final is not currently supported for Postprocessor execute_on...
    # execute_on = 'final'
  [../]
[]

[Outputs]
  csv = true
[]

Input Parameters
Input Files

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ImplicitMidpoint

Input Parameters

Input Files