CHInterfaceAniso Class Reference

This is the Cahn-Hilliard equation base class that implements the interfacial or gradient energy term of the equation. More...

#include <CHInterfaceAniso.h>

Inheritance diagram for CHInterfaceAniso:

Public Member Functions
	CHInterfaceAniso (const InputParameters &parameters)

Static Public Member Functions
static InputParameters	validParams ()

Protected Member Functions
virtual Real	computeQpResidual ()
virtual Real	computeQpJacobian ()
virtual Real	computeQpOffDiagJacobian (unsigned int jvar)

Protected Attributes
const MaterialProperty< Real > &	_kappa
unsigned int	_nvar
	Number of variables. More...
std::vector< const VariableGradient * >	_coupled_grad_vars
	Coupled variables used in mobility. More...
const MaterialProperty< RealTensorValue > &	_M
const MaterialProperty< RealTensorValue > &	_dMdc
const MaterialProperty< RealTensorValue > &	_d2Mdc2
const VariableSecond &	_second_u
const VariableTestSecond &	_second_test
const VariablePhiSecond &	_second_phi
std::vector< const MaterialProperty< RealTensorValue > * >	_dMdarg
std::vector< const MaterialProperty< RealTensorValue > * >	_d2Mdcdarg
std::vector< std::vector< const MaterialProperty< RealTensorValue > * > >	_d2Mdargdarg

Detailed Description

This is the Cahn-Hilliard equation base class that implements the interfacial or gradient energy term of the equation.

With a scalar (isotropic) mobility.

Definition at line 18 of file CHInterfaceAniso.h.

Constructor & Destructor Documentation

CHInterfaceAniso()

CHInterfaceAniso::CHInterfaceAniso

(

const InputParameters &

parameters

)

Definition at line 24 of file CHInterfaceAniso.C.

  : CHInterfaceBase<RealTensorValue>(parameters)
{
}

Member Function Documentation

computeQpJacobian()

Real CHInterfaceBase< RealTensorValue >::computeQpJacobian ( )

protectedvirtualinherited

Definition at line 124 of file CHInterfaceBase.h.

{
  // Set the gradient and gradient derivative values
  RealGradient grad_M = _dMdc[_qp] * _grad_u[_qp];
 
  RealGradient dgrad_Mdc =
      _d2Mdc2[_qp] * _phi[_j][_qp] * _grad_u[_qp] + _dMdc[_qp] * _grad_phi[_j][_qp];
 
  for (unsigned int i = 0; i < _nvar; ++i)
  {
    grad_M += (*_dMdarg[i])[_qp] * (*_coupled_grad_vars[i])[_qp];
    dgrad_Mdc += (*_d2Mdcdarg[i])[_qp] * _phi[_j][_qp] * (*_coupled_grad_vars[i])[_qp];
  }
 
  // Jacobian value using product rule
  Real value = _kappa[_qp] * _second_phi[_j][_qp].tr() *
                   ((_M[_qp] * _second_test[_i][_qp]).tr() + grad_M * _grad_test[_i][_qp]) +
               _kappa[_qp] * _second_u[_qp].tr() *
                   ((_dMdc[_qp] * _second_test[_i][_qp]).tr() * _phi[_j][_qp] +
                    dgrad_Mdc * _grad_test[_i][_qp]);
 
  return value;
}

computeQpOffDiagJacobian()

Real CHInterfaceBase< RealTensorValue >::computeQpOffDiagJacobian ( unsigned int  jvar )

protectedvirtualinherited

Definition at line 150 of file CHInterfaceBase.h.

{
  // get the coupled variable jvar is referring to
  const unsigned int cvar = mapJvarToCvar(jvar);
 
  // Set the gradient derivative
  RealGradient dgrad_Mdarg = (*_d2Mdcdarg[cvar])[_qp] * _phi[_j][_qp] * _grad_u[_qp] +
                             (*_dMdarg[cvar])[_qp] * _grad_phi[_j][_qp];
 
  for (unsigned int i = 0; i < _nvar; ++i)
    dgrad_Mdarg += (*_d2Mdargdarg[cvar][i])[_qp] * _phi[_j][_qp] * (*_coupled_grad_vars[cvar])[_qp];
 
  // Jacobian value using product rule
  Real value = _kappa[_qp] * _second_u[_qp].tr() *
               (((*_dMdarg[cvar])[_qp] * _second_test[_i][_qp]).tr() * _phi[_j][_qp] +
                dgrad_Mdarg * _grad_test[_i][_qp]);
 
  return value;
}

computeQpResidual()

Real CHInterfaceBase< RealTensorValue >::computeQpResidual ( )

protectedvirtualinherited

Definition at line 112 of file CHInterfaceBase.h.

{
  RealGradient grad_M = _dMdc[_qp] * _grad_u[_qp];
  for (unsigned int i = 0; i < _nvar; ++i)
    grad_M += (*_dMdarg[i])[_qp] * (*_coupled_grad_vars[i])[_qp];
 
  return _kappa[_qp] * _second_u[_qp].tr() *
         ((_M[_qp] * _second_test[_i][_qp]).tr() + grad_M * _grad_test[_i][_qp]);
}

validParams()

InputParameters CHInterfaceBase< RealTensorValue >::validParams ( )

staticinherited

Definition at line 100 of file CHInterfaceBase.h.

{
  InputParameters params = ::validParams<Kernel>();
  params.addClassDescription("Gradient energy Cahn-Hilliard base Kernel");
  params.addRequiredParam<MaterialPropertyName>("kappa_name", "The kappa used with the kernel");
  params.addRequiredParam<MaterialPropertyName>("mob_name", "The mobility used with the kernel");
  params.addCoupledVar("args", "Vector of arguments of the mobility");
  return params;
}

Member Data Documentation

_coupled_grad_vars

std::vector<const VariableGradient *> CHInterfaceBase< RealTensorValue >::_coupled_grad_vars

protectedinherited

Coupled variables used in mobility.

Definition at line 62 of file CHInterfaceBase.h.

_d2Mdargdarg

std::vector<std::vector<const MaterialProperty<RealTensorValue > *> > CHInterfaceBase< RealTensorValue >::_d2Mdargdarg

protectedinherited

Definition at line 58 of file CHInterfaceBase.h.

_d2Mdc2

const MaterialProperty<RealTensorValue >& CHInterfaceBase< RealTensorValue >::_d2Mdc2

protectedinherited

Definition at line 41 of file CHInterfaceBase.h.

_d2Mdcdarg

std::vector<const MaterialProperty<RealTensorValue > *> CHInterfaceBase< RealTensorValue >::_d2Mdcdarg

protectedinherited

Definition at line 57 of file CHInterfaceBase.h.

_dMdarg

std::vector<const MaterialProperty<RealTensorValue > *> CHInterfaceBase< RealTensorValue >::_dMdarg

protectedinherited

Mobility derivatives w.r.t. its dependent variables

Definition at line 56 of file CHInterfaceBase.h.

_dMdc

const MaterialProperty<RealTensorValue >& CHInterfaceBase< RealTensorValue >::_dMdc

protectedinherited

Definition at line 40 of file CHInterfaceBase.h.

_kappa

const MaterialProperty<Real>& CHInterfaceBase< RealTensorValue >::_kappa

protectedinherited

Definition at line 35 of file CHInterfaceBase.h.

_M

const MaterialProperty<RealTensorValue >& CHInterfaceBase< RealTensorValue >::_M

protectedinherited

Mobility material property value and concentration derivatives

Definition at line 39 of file CHInterfaceBase.h.

_nvar

unsigned int CHInterfaceBase< RealTensorValue >::_nvar

protectedinherited

Number of variables.

Definition at line 52 of file CHInterfaceBase.h.

_second_phi

const VariablePhiSecond& CHInterfaceBase< RealTensorValue >::_second_phi

protectedinherited

Definition at line 48 of file CHInterfaceBase.h.

_second_test

const VariableTestSecond& CHInterfaceBase< RealTensorValue >::_second_test

protectedinherited

Definition at line 47 of file CHInterfaceBase.h.

_second_u

const VariableSecond& CHInterfaceBase< RealTensorValue >::_second_u

protectedinherited

Variables for second order derivatives

Definition at line 46 of file CHInterfaceBase.h.

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The documentation for this class was generated from the following files:

• phase_field/include/kernels/CHInterfaceAniso.h
• phase_field/src/kernels/CHInterfaceAniso.C