ACInterfaceKobayashi2 Class Reference

Kernel 2 of 2 for interfacial energy anisotropy in the Allen-Cahn equation as implemented in R. More...

#include <ACInterfaceKobayashi2.h>

Inheritance diagram for ACInterfaceKobayashi2:

Public Member Functions
	ACInterfaceKobayashi2 (const InputParameters &parameters)

Protected Member Functions
virtual RealGradient	precomputeQpResidual ()
virtual RealGradient	precomputeQpJacobian ()
virtual Real	computeQpOffDiagJacobian (unsigned int jvar)

Protected Attributes
const MaterialProperty< Real > &	_L
	Mobility. More...
const MaterialProperty< Real > &	_dLdop
const MaterialProperty< Real > &	_eps
	Interfacial parameter. More...
const MaterialProperty< RealGradient > &	_depsdgrad_op
std::vector< const MaterialProperty< Real > * >	_dLdarg
	Mobility derivative w.r.t. other coupled variables. More...
std::vector< const MaterialProperty< Real > * >	_depsdarg

Detailed Description

Kernel 2 of 2 for interfacial energy anisotropy in the Allen-Cahn equation as implemented in R.

Kobayashi, Physica D, 63, 410-423 (1993). doi:10.1016/0167-2789(93)90120-P This kernel implements the third term on the right side of eq. (3) of the paper.

Definition at line 27 of file ACInterfaceKobayashi2.h.

Constructor & Destructor Documentation

ACInterfaceKobayashi2()

ACInterfaceKobayashi2::ACInterfaceKobayashi2

(

const InputParameters &

parameters

)

Definition at line 30 of file ACInterfaceKobayashi2.C.

  : DerivativeMaterialInterface<JvarMapKernelInterface<KernelGrad>>(parameters),
    _L(getMaterialProperty<Real>("mob_name")),
    _dLdop(getMaterialPropertyDerivative<Real>("mob_name", _var.name())),
    _eps(getMaterialProperty<Real>("eps_name")),
    _depsdgrad_op(getMaterialProperty<RealGradient>("depsdgrad_op_name"))
{
  // Get number of coupled variables
  unsigned int nvar = _coupled_moose_vars.size();
 
  // reserve space for derivatives
  _dLdarg.resize(nvar);
  _depsdarg.resize(nvar);
 
  // Iterate over all coupled variables
  for (unsigned int i = 0; i < nvar; ++i)
  {
    const VariableName iname = _coupled_moose_vars[i]->name();
    _dLdarg[i] = &getMaterialPropertyDerivative<Real>("mob_name", iname);
    _depsdarg[i] = &getMaterialPropertyDerivative<Real>("eps_name", iname);
  }
}

Member Function Documentation

computeQpOffDiagJacobian()

Real ACInterfaceKobayashi2::computeQpOffDiagJacobian ( unsigned int  jvar )

protectedvirtual

Definition at line 72 of file ACInterfaceKobayashi2.C.

{
  // get the coupled variable jvar is referring to
  const unsigned int cvar = mapJvarToCvar(jvar);
 
  // Set off-diagonal jaocbian terms from mobility and epsilon dependence
  Real dsum = _L[_qp] * 2.0 * _eps[_qp] * (*_depsdarg[cvar])[_qp] * _phi[_j][_qp] * _grad_u[_qp] *
              _grad_test[_i][_qp];
  dsum += _eps[_qp] * _eps[_qp] * (*_dLdarg[cvar])[_qp] * _phi[_j][_qp] * _grad_u[_qp] *
          _grad_test[_i][_qp];
 
  return dsum;
}

precomputeQpJacobian()

RealGradient ACInterfaceKobayashi2::precomputeQpJacobian ( )

protectedvirtual

Definition at line 61 of file ACInterfaceKobayashi2.C.

{
  // Calculate depsdop_i
  Real depsdop_i = _depsdgrad_op[_qp] * _grad_phi[_j][_qp];
 
  // Set Jacobian using product rule
  return _L[_qp] *
         (_eps[_qp] * _eps[_qp] * _grad_phi[_j][_qp] + 2.0 * _eps[_qp] * depsdop_i * _grad_u[_qp]);
}

precomputeQpResidual()

RealGradient ACInterfaceKobayashi2::precomputeQpResidual ( )

protectedvirtual

Definition at line 54 of file ACInterfaceKobayashi2.C.

{
  // Set interfacial part of residual
  return _eps[_qp] * _eps[_qp] * _L[_qp] * _grad_u[_qp];
}

Member Data Documentation

_depsdarg

std::vector<const MaterialProperty<Real> *> ACInterfaceKobayashi2::_depsdarg

protected

Definition at line 47 of file ACInterfaceKobayashi2.h.

Referenced by ACInterfaceKobayashi2(), and computeQpOffDiagJacobian().

_depsdgrad_op

const MaterialProperty<RealGradient>& ACInterfaceKobayashi2::_depsdgrad_op

protected

Definition at line 43 of file ACInterfaceKobayashi2.h.

Referenced by precomputeQpJacobian().

_dLdarg

std::vector<const MaterialProperty<Real> *> ACInterfaceKobayashi2::_dLdarg

protected

Mobility derivative w.r.t. other coupled variables.

Definition at line 46 of file ACInterfaceKobayashi2.h.

Referenced by ACInterfaceKobayashi2(), and computeQpOffDiagJacobian().

_dLdop

const MaterialProperty<Real>& ACInterfaceKobayashi2::_dLdop

protected

Definition at line 39 of file ACInterfaceKobayashi2.h.

_eps

const MaterialProperty<Real>& ACInterfaceKobayashi2::_eps

protected

Interfacial parameter.

Definition at line 42 of file ACInterfaceKobayashi2.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), and precomputeQpResidual().

_L

const MaterialProperty<Real>& ACInterfaceKobayashi2::_L

protected

Mobility.

Definition at line 38 of file ACInterfaceKobayashi2.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), and precomputeQpResidual().

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

• phase_field/include/kernels/ACInterfaceKobayashi2.h
• phase_field/src/kernels/ACInterfaceKobayashi2.C