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AnisotropicGradEnergy.C
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AnisotropicGradEnergy.C
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//* This file is part of the MOOSE framework
//* https://www.mooseframework.org
//*
//* All rights reserved, see COPYRIGHT for full restrictions
//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
//*
//* Licensed under LGPL 2.1, please see LICENSE for details
//* https://www.gnu.org/licenses/lgpl-2.1.html
#include "AnisotropicGradEnergy.h"
registerMooseObject("PhaseFieldApp", AnisotropicGradEnergy);
template <>
InputParameters
validParams<AnisotropicGradEnergy>()
{
InputParameters params = validParams<Kernel>();
params.addClassDescription("Calculates a general form of -L * div((d/dgrad_aeta) (0.5 * kappa(grad_aeta) * (grad_aeta)^2))");
params.addParam<MaterialPropertyName>("mob_name","L","The mobility used with the kernel, assumed as a constant");
params.addParam<MaterialPropertyName>("kappa_name","kappa_op","Orientation dependent anisotropy function in terms of gradient components of aeta, which can be provided by DerivativeParsedMaterial with derivative_order 2");
params.addCoupledVar("gradient_component_names","Name vector of gradient components of aeta, arguments of the kappa function, in x y z order, e.g.) in 2D, dpx dpy, in 3D, dpx dpy dpz, where dpx, dpy, and dpz are defined as AuxVariables(FIRST order, MONOMIAL family) and calculated by VariableGradientComponent AuxKernel (execute_on = LINEAR)");
params.addParam<Real>("gradmag_threshold",1e-7,"Threshold value to turn on anisotropy term calculations; grad_mag > thres ? anisotropic calc. : isotropic calc.");
return params;
}
AnisotropicGradEnergy::AnisotropicGradEnergy(const InputParameters & parameters)
: DerivativeMaterialInterface<JvarMapKernelInterface<Kernel>>(parameters),
_nvar(_coupled_moose_vars.size()),
_L(getMaterialProperty<Real>("mob_name")),
_kappa(getMaterialProperty<Real>("kappa_name")),
_gradmag_threshold(getParam<Real>("gradmag_threshold")),
_dkappa_darg(_nvar),
_d2kappa_darg2(_nvar)
{
/// Get derivative data
for (unsigned int i = 0; i < _nvar; ++i)
{
MooseVariable * ivar = _coupled_standard_moose_vars[i];
const VariableName iname = ivar->name();
if (iname == _var.name())
paramError("gradient_component_names",\
"The kernel variable should not be specified in the coupled `gradient_component_names` parameter.");
/// The 1st derivatives
_dkappa_darg[i] = &getMaterialPropertyDerivative<Real>("kappa_name", iname);
/// The 2nd derivatives
_d2kappa_darg2[i].resize(_nvar);
for (unsigned int j = 0; j < _nvar; ++j)
{
const VariableName jname = _coupled_moose_vars[j]->name();
if (jname == _var.name())
paramError("gradient_component_names",\
"The kernel variable should not be specified in the coupled `gradient_component_names` parameter.");
_d2kappa_darg2[i][j] = &getMaterialPropertyDerivative<Real>("kappa_name", iname, jname);
}
}
}
void
AnisotropicGradEnergy::initialSetup()
{
validateCoupling<Real>("kappa_name");
}
RealGradient
AnisotropicGradEnergy::get_dkappa_darg(unsigned int qp) // This function must be called in computeQp* functions
{
RealGradient v0(0.0, 0.0, 0.0);
switch (_nvar) {
case 1:
{
RealGradient v1((*_dkappa_darg[0])[qp], 0.0, 0.0);
return v1;
}
break;
case 2:
{
RealGradient v2((*_dkappa_darg[0])[qp], (*_dkappa_darg[1])[qp], 0.0);
return v2;
}
break;
case 3:
{
RealGradient v3((*_dkappa_darg[0])[qp], (*_dkappa_darg[1])[qp], (*_dkappa_darg[2])[qp]);
return v3;
}
break;
default:
return v0;
}
}
RealGradient
AnisotropicGradEnergy::get_d2kappa_darg2(unsigned int i, unsigned int qp) // This function must be called in computeQp* functions
{
RealGradient v0(0.0, 0.0, 0.0);
switch (_nvar) {
case 1:
{
RealGradient v1((*_d2kappa_darg2[i][0])[qp], 0.0, 0.0);
return v1;
}
break;
case 2:
{
RealGradient v2((*_d2kappa_darg2[i][0])[qp], (*_d2kappa_darg2[i][1])[qp], 0.0);
return v2;
break;
}
break;
case 3:
{
RealGradient v3((*_d2kappa_darg2[i][0])[qp], (*_d2kappa_darg2[i][1])[qp], (*_d2kappa_darg2[i][2])[qp]);
return v3;
}
break;
default:
return v0;
}
}
RealGradient
AnisotropicGradEnergy::get_dargv_darg(unsigned int i)
{
RealGradient v0(0.0, 0.0, 0.0);
switch (i) {
case 0:
{
RealGradient v1(1.0, 0.0, 0.0);
return v1;
}
break;
case 1:
{
RealGradient v2(0.0, 1.0, 0.0);
return v2;
break;
}
break;
case 2:
{
RealGradient v3(0.0, 0.0, 1.0);
return v3;
}
break;
default:
return v0;
}
}
Real
AnisotropicGradEnergy::computeQpResidual()
{
Real grad_u_sq = _grad_u[_qp] * _grad_u[_qp];
Real grad_u_dot_grad_test = _grad_u[_qp] * _grad_test[_i][_qp];
if (_nvar > 0 && grad_u_sq > _gradmag_threshold * _gradmag_threshold)
{
RealGradient dkappa_dgradaeta = get_dkappa_darg(_qp);
Real dkappa_dgradaeta_dot_grad_test = dkappa_dgradaeta * _grad_test[_i][_qp];
return _L[_qp] * (_kappa[_qp] * grad_u_dot_grad_test\
+ 0.5 * grad_u_sq * dkappa_dgradaeta_dot_grad_test);
}else{
return _L[_qp] * _kappa[_qp] * grad_u_dot_grad_test;
}
}
Real
AnisotropicGradEnergy::computeQpJacobian()
{
Real grad_u_sq = _grad_u[_qp] * _grad_u[_qp];
Real kappa_gradphi_dot_grad_test = _kappa[_qp] * _grad_phi[_j][_qp] * _grad_test[_i][_qp];
if (_nvar > 0 && grad_u_sq > _gradmag_threshold * _gradmag_threshold)
{
RealGradient dkappa_dgradaeta = get_dkappa_darg(_qp);
Real dkappa_dgradaeta_dot_grad_phi = dkappa_dgradaeta * _grad_phi[_j][_qp];
Real grad_u_dot_grad_test = _grad_u[_qp] * _grad_test[_i][_qp];
Real grad_u_dot_grad_phi = _grad_u[_qp] * _grad_phi[_j][_qp];
Real dkappa_dgradaeta_dot_grad_test = dkappa_dgradaeta * _grad_test[_i][_qp];
Real d2kappa_dgradaeta2_dot_grad_phi_dot_grad_test = 0.0;
for (unsigned int i = 0; i < _nvar; ++i)
{
for (unsigned int j = 0; j < _nvar; ++j)
{
d2kappa_dgradaeta2_dot_grad_phi_dot_grad_test += \
_grad_test[_i][_qp](i) * (*_d2kappa_darg2[i][j])[_qp] * _grad_phi[_j][_qp](j);
}
}
return _L[_qp] * (kappa_gradphi_dot_grad_test \
+ dkappa_dgradaeta_dot_grad_phi * grad_u_dot_grad_test \
+ grad_u_dot_grad_phi * dkappa_dgradaeta_dot_grad_test \
+ 0.5 * grad_u_sq * d2kappa_dgradaeta2_dot_grad_phi_dot_grad_test);
}else{
return _L[_qp] * kappa_gradphi_dot_grad_test;
}
}
Real
AnisotropicGradEnergy::computeQpOffDiagJacobian(unsigned int jvar)
{
if (0)
{
// get the coupled variable jvar is referring to
const unsigned int cvar = mapJvarToCvar(jvar);
Real grad_u_sq = _grad_u[_qp] * _grad_u[_qp];
Real xcvar_dot_grad_test = get_dargv_darg(cvar) * _grad_test[_i][_qp];
Real grad_u_dot_grad_test = _grad_u[_qp] * _grad_test[_i][_qp];
Real dkappa_dgradaeta_dot_grad_test = get_dkappa_darg(_qp) * _grad_test[_i][_qp];
Real d2kappa_dgradaeta_dcvar_dot_grad_test = get_d2kappa_darg2(cvar, _qp) * _grad_test[_i][_qp];
return _L[_qp] * _phi[_j][_qp] * ((*_dkappa_darg[cvar])[_qp] * grad_u_dot_grad_test \
+ _kappa[_qp] * xcvar_dot_grad_test \
+ _grad_u[_qp](cvar) * dkappa_dgradaeta_dot_grad_test \
+ 0.5 * grad_u_sq * d2kappa_dgradaeta_dcvar_dot_grad_test);
}else{
//return _L[_qp] * _phi[_j][_qp] * _kappa[_qp] * xcvar_dot_grad_test;
return 0;
}
}