KKSACBulkBase child class for the phase concentration difference term \( \frac{dh}{d\eta}\frac{dF_a}{dc_a}(c_a-c_b) \) in the the Allen-Cahn bulk residual. More...

#include <KKSACBulkC.h>

Inheritance diagram for KKSACBulkC:

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Public Member Functions
	KKSACBulkC (const InputParameters &parameters)

virtual void	initialSetup ()

Static Public Member Functions
static InputParameters	validParams ()

Protected Types
enum	PFFunctionType

Protected Member Functions
virtual Real	computeDFDOP (PFFunctionType type)

virtual Real	computeQpOffDiagJacobian (unsigned int jvar)

virtual Real	precomputeQpResidual ()

virtual Real	precomputeQpJacobian ()

virtual Real	computeDFDOP (PFFunctionType type)=0

Protected Attributes
std::string	_ca_name
	phase a concentration More...

unsigned int	_ca_var

const VariableValue &	_ca

std::string	_cb_name
	phase b concentration More...

unsigned int	_cb_var

const VariableValue &	_cb

const MaterialProperty< Real > &	_prop_dFadca
	Derivative of the free energy function \( \frac d{dc_a} F_a \). More...

const MaterialProperty< Real > &	_prop_d2Fadca2
	Second derivative of the free energy function \( \frac {d^2}{dc_a^2} F_a \). More...

std::vector< const MaterialProperty< Real > * >	_prop_d2Fadcadarg
	Mixed partial derivatives of the free energy function wrt ca and any other coupled variables \( \frac {d^2}{dc_a dq} F_a \). More...

unsigned int	_nvar
	Number of coupled variables. More...

VariableName	_eta_name
	name of the order parameter (needed to retrieve the derivative material properties) More...

std::vector< const MaterialProperty< Real > * >	_derivatives_Fa
	Derivatives of \( F_a \) with respect to all coupled variables. More...

std::vector< const MaterialProperty< Real > * >	_derivatives_Fb
	Derivatives of \( F_b \) with respect to all coupled variables. More...

const MaterialProperty< Real > &	_prop_Fa
	Value of the free energy function \( F_a \). More...

const MaterialProperty< Real > &	_prop_dFa
	Derivative of the free energy function \( \frac d{d\eta} F_a \). More...

const MaterialProperty< Real > &	_prop_dh
	Derivative of the switching function \( \frac d{d\eta} h(\eta) \). More...

const MaterialProperty< Real > &	_prop_d2h
	Second derivative of the switching function \( \frac {d^2}{d\eta^2} h(\eta) \). More...

std::vector< const VariableGradient * >	_grad_args
	Gradients for all coupled variables. More...

const MaterialProperty< Real > &	_L
	Mobility. More...

const MaterialProperty< Real > &	_dLdop
	Mobility derivative w.r.t. order parameter. More...

std::vector< const MaterialProperty< Real > * >	_dLdarg
	Mobility derivative w.r.t coupled variables. More...

Detailed Description

KKSACBulkBase child class for the phase concentration difference term \( \frac{dh}{d\eta}\frac{dF_a}{dc_a}(c_a-c_b) \) in the the Allen-Cahn bulk residual.

The non-linear variable for this Kernel is the order parameter 'eta'.

Definition at line 27 of file KKSACBulkC.h.

Member Enumeration Documentation

◆ PFFunctionType

enum ACBulk::PFFunctionType

protectedinherited

Definition at line 37 of file ACBulk.h.

   {
     Jacobian,
     Residual
   };

Constructor & Destructor Documentation

◆ KKSACBulkC()

KKSACBulkC::KKSACBulkC ( const InputParameters & parameters )

Definition at line 26 of file KKSACBulkC.C.

   : KKSACBulkBase(parameters),
     _ca_name(getVar("ca", 0)->name()),
     _ca_var(coupled("ca")),
     _ca(coupledValue("ca")),
     _cb_name(getVar("cb", 0)->name()),
     _cb_var(coupled("cb")),
     _cb(coupledValue("cb")),
     _prop_dFadca(getMaterialPropertyDerivative<Real>("fa_name", _ca_name)),
     _prop_d2Fadca2(getMaterialPropertyDerivative<Real>("fa_name", _ca_name, _ca_name)),
     _prop_d2Fadcadarg(_nvar)
 {
   // Iterate over all coupled variables
   for (unsigned int i = 0; i < _nvar; ++i)
   {
     // get second partial derivatives wrt ca and other coupled variable
     const auto & var_name = _coupled_moose_vars[i]->name();
     _prop_d2Fadcadarg[i] = &getMaterialPropertyDerivative<Real>("fa_name", _ca_name, var_name);
   }
 }

Member Function Documentation

◆ computeDFDOP() [1/2]

Real KKSACBulkC::computeDFDOP ( PFFunctionType type )

protectedvirtual

Definition at line 48 of file KKSACBulkC.C.

 {
   const Real A1 = _prop_dFadca[_qp] * (_ca[_qp] - _cb[_qp]);
   switch (type)
   {
     case Residual:
       return _prop_dh[_qp] * A1;
  
     case Jacobian:
       return _phi[_j][_qp] * _prop_d2h[_qp] * A1;
   }
  
   mooseError("Invalid type passed in");
 }

◆ computeDFDOP() [2/2]

virtual Real ACBulk< Real >::computeDFDOP ( PFFunctionType type )

protectedpure virtualinherited

◆ computeQpOffDiagJacobian()

Real KKSACBulkC::computeQpOffDiagJacobian ( unsigned int jvar )

protectedvirtual

Reimplemented from ACBulk< Real >.

Definition at line 64 of file KKSACBulkC.C.

 {
   // first get dependence of mobility _L on other variables using parent class
   // member function
   Real res = ACBulk<Real>::computeQpOffDiagJacobian(jvar);
  
   // Then add dependence of KKSACBulkF on other variables
   // Treat ca and cb specially, as they appear in the residual
   if (jvar == _ca_var)
     return res + _L[_qp] * _prop_dh[_qp] *
                      ((_ca[_qp] - _cb[_qp]) * _prop_d2Fadca2[_qp] + _prop_dFadca[_qp]) *
                      _phi[_j][_qp] * _test[_i][_qp];
  
   if (jvar == _cb_var)
     return res - _L[_qp] * _prop_dh[_qp] * _prop_dFadca[_qp] * _phi[_j][_qp] * _test[_i][_qp];
  
   //  for all other vars get the coupled variable jvar is referring to
   const unsigned int cvar = mapJvarToCvar(jvar);
  
   res += _L[_qp] * _prop_dh[_qp] * (*_prop_d2Fadcadarg[cvar])[_qp] * (_ca[_qp] - _cb[_qp]) *
          _phi[_j][_qp] * _test[_i][_qp];
  
   return res;
 }

◆ initialSetup()

void KKSACBulkBase::initialSetup ( )

virtualinherited

Reimplemented from ACBulk< Real >.

Definition at line 57 of file KKSACBulkBase.C.

 {
   ACBulk<Real>::initialSetup();
   validateNonlinearCoupling<Real>("fa_name");
   validateNonlinearCoupling<Real>("fb_name");
 }

◆ precomputeQpJacobian()

Real ACBulk< Real >::precomputeQpJacobian ( )

protectedvirtualinherited

Definition at line 103 of file ACBulk.h.

 {
   // Get free energy derivative and Jacobian
   Real dFdop = computeDFDOP(Residual);
  
   Real JdFdop = computeDFDOP(Jacobian);
  
   // Set Jacobian value using product rule
   return _L[_qp] * JdFdop + _dLdop[_qp] * _phi[_j][_qp] * dFdop;
 }

◆ precomputeQpResidual()

Real ACBulk< Real >::precomputeQpResidual ( )

protectedvirtualinherited

Definition at line 92 of file ACBulk.h.

 {
   // Get free energy derivative from function
   Real dFdop = computeDFDOP(Residual);
  
   // Set residual
   return _L[_qp] * dFdop;
 }

◆ validParams()

InputParameters ACBulk< Real >::validParams ( )

staticinherited

Definition at line 74 of file ACBulk.h.

 {
   InputParameters params = ::validParams<KernelValue>();
   params.addClassDescription("Allen-Cahn base Kernel");
   params.addParam<MaterialPropertyName>("mob_name", "L", "The mobility used with the kernel");
   params.addCoupledVar("args", "Vector of arguments of the mobility");
   return params;
 }

Member Data Documentation

◆ _ca

const VariableValue& KKSACBulkC::_ca

protected

Definition at line 39 of file KKSACBulkC.h.

Referenced by computeDFDOP(), and computeQpOffDiagJacobian().

◆ _ca_name

std::string KKSACBulkC::_ca_name

protected

phase a concentration

Definition at line 37 of file KKSACBulkC.h.

Referenced by KKSACBulkC().

◆ _ca_var

unsigned int KKSACBulkC::_ca_var

protected

Definition at line 38 of file KKSACBulkC.h.

Referenced by computeQpOffDiagJacobian().

◆ _cb

const VariableValue& KKSACBulkC::_cb

protected

Definition at line 44 of file KKSACBulkC.h.

Referenced by computeDFDOP(), and computeQpOffDiagJacobian().

◆ _cb_name

std::string KKSACBulkC::_cb_name

protected

phase b concentration

Definition at line 42 of file KKSACBulkC.h.

◆ _cb_var

unsigned int KKSACBulkC::_cb_var

protected

Definition at line 43 of file KKSACBulkC.h.

Referenced by computeQpOffDiagJacobian().

◆ _derivatives_Fa

std::vector<const MaterialProperty<Real> *> KKSACBulkBase::_derivatives_Fa

protectedinherited

Derivatives of \( F_a \) with respect to all coupled variables.

Definition at line 41 of file KKSACBulkBase.h.

Referenced by KKSACBulkF::computeQpOffDiagJacobian(), and KKSACBulkBase::KKSACBulkBase().

◆ _derivatives_Fb

std::vector<const MaterialProperty<Real> *> KKSACBulkBase::_derivatives_Fb

protectedinherited

Derivatives of \( F_b \) with respect to all coupled variables.

Definition at line 44 of file KKSACBulkBase.h.

Referenced by KKSACBulkF::computeQpOffDiagJacobian(), and KKSACBulkBase::KKSACBulkBase().

◆ _dLdarg

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

protectedinherited

Mobility derivative w.r.t coupled variables.

Definition at line 52 of file ACBulk.h.

◆ _dLdop

const MaterialProperty<Real >& ACBulk< Real >::_dLdop

protectedinherited

Mobility derivative w.r.t. order parameter.

Definition at line 49 of file ACBulk.h.

◆ _eta_name

VariableName KKSACBulkBase::_eta_name

protectedinherited

name of the order parameter (needed to retrieve the derivative material properties)

Definition at line 38 of file KKSACBulkBase.h.

◆ _grad_args

std::vector<const VariableGradient *> KKSACBulkBase::_grad_args

protectedinherited

Gradients for all coupled variables.

Definition at line 59 of file KKSACBulkBase.h.

Referenced by KKSACBulkBase::KKSACBulkBase().

◆ _L

const MaterialProperty<Real >& ACBulk< Real >::_L

protectedinherited

Mobility.

Definition at line 46 of file ACBulk.h.

◆ _nvar

unsigned int KKSACBulkBase::_nvar

protectedinherited

Number of coupled variables.

Definition at line 35 of file KKSACBulkBase.h.

Referenced by KKSACBulkBase::KKSACBulkBase(), and KKSACBulkC().

◆ _prop_d2Fadca2

const MaterialProperty<Real>& KKSACBulkC::_prop_d2Fadca2

protected

Second derivative of the free energy function \( \frac {d^2}{dc_a^2} F_a \).

Definition at line 50 of file KKSACBulkC.h.

Referenced by computeQpOffDiagJacobian().

◆ _prop_d2Fadcadarg

std::vector<const MaterialProperty<Real> *> KKSACBulkC::_prop_d2Fadcadarg

protected

Mixed partial derivatives of the free energy function wrt ca and any other coupled variables \( \frac {d^2}{dc_a dq} F_a \).

Definition at line 54 of file KKSACBulkC.h.

Referenced by computeQpOffDiagJacobian(), and KKSACBulkC().

◆ _prop_d2h

const MaterialProperty<Real>& KKSACBulkBase::_prop_d2h

protectedinherited

Second derivative of the switching function \( \frac {d^2}{d\eta^2} h(\eta) \).

Definition at line 56 of file KKSACBulkBase.h.

Referenced by computeDFDOP(), and KKSACBulkF::computeDFDOP().

◆ _prop_dFa

const MaterialProperty<Real>& KKSACBulkBase::_prop_dFa

protectedinherited

Derivative of the free energy function \( \frac d{d\eta} F_a \).

Definition at line 50 of file KKSACBulkBase.h.

◆ _prop_dFadca

const MaterialProperty<Real>& KKSACBulkC::_prop_dFadca

protected

Derivative of the free energy function \( \frac d{dc_a} F_a \).

Definition at line 47 of file KKSACBulkC.h.

Referenced by computeDFDOP(), and computeQpOffDiagJacobian().

◆ _prop_dh

const MaterialProperty<Real>& KKSACBulkBase::_prop_dh

protectedinherited

Derivative of the switching function \( \frac d{d\eta} h(\eta) \).

Definition at line 53 of file KKSACBulkBase.h.

Referenced by computeDFDOP(), KKSACBulkF::computeDFDOP(), KKSACBulkF::computeQpOffDiagJacobian(), and computeQpOffDiagJacobian().

◆ _prop_Fa

const MaterialProperty<Real>& KKSACBulkBase::_prop_Fa

protectedinherited

Value of the free energy function \( F_a \).

Definition at line 47 of file KKSACBulkBase.h.

Referenced by KKSACBulkF::computeDFDOP().

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

phase_field/include/kernels/KKSACBulkC.h
phase_field/src/kernels/KKSACBulkC.C

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Enumeration Documentation

◆ PFFunctionType

Constructor & Destructor Documentation

◆ KKSACBulkC()

Member Function Documentation

◆ computeDFDOP() [1/2]

◆ computeDFDOP() [2/2]

◆ computeQpOffDiagJacobian()

◆ initialSetup()

◆ precomputeQpJacobian()

◆ precomputeQpResidual()

◆ validParams()

Member Data Documentation

◆ _ca

◆ _ca_name

◆ _ca_var

◆ _cb

◆ _cb_name

◆ _cb_var

◆ _derivatives_Fa

◆ _derivatives_Fb

◆ _dLdarg

◆ _dLdop

◆ _eta_name

◆ _grad_args

◆ _L

◆ _nvar

◆ _prop_d2Fadca2

◆ _prop_d2Fadcadarg

◆ _prop_d2h

◆ _prop_dFa

◆ _prop_dFadca

◆ _prop_dh

◆ _prop_Fa