KKSACBulkBase child class for the phase concentration term \( - \frac{\partial F_1}{\partial c_1} \sum_j \frac{\partial h_j}{\partial \eta_i} (c_j) \) in the the Allen-Cahn bulk residual. More...

#include <NestedKKSMultiACBulkC.h>

Inheritance diagram for NestedKKSMultiACBulkC:

[legend]

Public Types
typedef DerivativeMaterialPropertyNameInterface::SymbolName	SymbolName

Public Member Functions
	NestedKKSMultiACBulkC (const InputParameters &parameters)

virtual void	initialSetup ()

const GenericMaterialProperty< U, is_ad > &	getDefaultMaterialProperty (const std::string &name)

const GenericMaterialProperty< U, is_ad > &	getDefaultMaterialPropertyByName (const std::string &name)

void	validateDerivativeMaterialPropertyBase (const std::string &base)

const MaterialPropertyName	derivativePropertyName (const MaterialPropertyName &base, const std::vector< SymbolName > &c) const

const MaterialPropertyName	derivativePropertyNameFirst (const MaterialPropertyName &base, const SymbolName &c1) const

const MaterialPropertyName	derivativePropertyNameSecond (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2) const

const MaterialPropertyName	derivativePropertyNameThird (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2, const SymbolName &c3) const

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, unsigned int v2, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, unsigned int v1, unsigned int v2=libMesh::invalid_uint, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, unsigned int v2, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, unsigned int v1, unsigned int v2=libMesh::invalid_uint, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

void	validateCoupling (const MaterialPropertyName &base, const std::vector< VariableName > &c, bool validate_aux=true)

void	validateCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

void	validateCoupling (const MaterialPropertyName &base, const std::vector< VariableName > &c, bool validate_aux=true)

void	validateCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

void	validateNonlinearCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

void	validateNonlinearCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

const MaterialPropertyName	propertyName (const MaterialPropertyName &base, const std::vector< SymbolName > &c) const

const MaterialPropertyName	propertyName (const MaterialPropertyName &base, const std::vector< SymbolName > &c) const

const MaterialPropertyName	propertyNameFirst (const MaterialPropertyName &base, const SymbolName &c1) const

const MaterialPropertyName	propertyNameFirst (const MaterialPropertyName &base, const SymbolName &c1) const

const MaterialPropertyName	propertyNameSecond (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2) const

const MaterialPropertyName	propertyNameSecond (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2) const

const MaterialPropertyName	propertyNameThird (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2, const SymbolName &c3) const

const MaterialPropertyName	propertyNameThird (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2, const SymbolName &c3) const

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::vector< VariableName >	_c_names
	Global concentrations. More...

const JvarMap &	_c_map

unsigned int	_num_c
	Number of global concentrations. More...

int	_k
	Position of the nonlinear variable in the list of cj's. More...

std::vector< std::vector< std::vector< const MaterialProperty< Real > * > > >	_dcidetaj
	Derivative of phase concentrations wrt etaj \( \frac d{d{eta_j}} c_i \). More...

std::vector< std::vector< std::vector< const MaterialProperty< Real > * > > >	_dcidb
	Derivative of phase concentrations wrt global concentrations \( \frac d{db} c_i \). More...

std::vector< std::vector< const MaterialProperty< Real > * > >	_prop_d2hjdetaidetap
	Second derivative of switching function \( \frac {d^2}{deta_i deta_p} h_j \). More...

std::vector< const MaterialProperty< Real > * >	_dF1dc1
	Derivative of the free energy function \( \frac d{dc_1} F_1 \). More...

std::vector< std::vector< const MaterialProperty< Real > * > >	_d2F1dc1db1
	Second derivative of the free energy function \( \frac {d^2}{dc_1 db_1} F_1 \). More...

std::vector< std::vector< const MaterialProperty< Real > * > >	_d2F1dc1darg
	Mixed partial derivatives of the free energy function wrt c and any other coupled variables \( \frac {d^2}{dc_1 dq} F_1 \). More...

VariableName	_etai_name
	name of order parameter that derivatives are taken wrt (needed to retrieve the derivative material properties) More...

unsigned int	_etai_var
	index of order parameter that derivatives are taken wrt More...

std::vector< MaterialPropertyName >	_Fj_names
	Names of free energy functions for each phase \( F_j \). More...

unsigned int	_num_j

std::vector< const MaterialProperty< Real > * >	_prop_Fj
	Values of the free energy functions for each phase \( F_j \). More...

std::vector< std::vector< const MaterialProperty< Real > * > >	_prop_dFjdarg
	Derivatives of the free energy functions (needed for off-diagonal Jacobians) More...

std::vector< MaterialPropertyName >	_hj_names
	switching function names More...

std::vector< const MaterialProperty< Real > * >	_prop_hj
	Values of the switching functions for each phase \( h_j \). More...

std::vector< const MaterialProperty< Real > * >	_prop_dhjdetai
	Derivatives of the switching functions wrt the order parameter for this kernel. More...

std::vector< const MaterialProperty< Real > * >	_prop_d2hjdetai2
	Second derivatives of the switching functions wrt the order parameter for this kernel. More...

std::vector< std::vector< const MaterialProperty< Real > * > >	_prop_d2hjdetaidarg
	Second derivatives of the switching functions (needed for off-diagonal Jacobians) 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...


std::vector< VariableName >	_eta_names
	Phase parameters. More...

const JvarMap &	_eta_map


std::vector< MaterialPropertyName >	_ci_names
	Phase concentrations. More...

std::vector< std::vector< MaterialPropertyName > >	_ci_name_matrix

std::vector< std::vector< const MaterialProperty< Real > * > >	_prop_ci

Detailed Description

KKSACBulkBase child class for the phase concentration term \( - \frac{\partial F_1}{\partial c_1} \sum_j \frac{\partial h_j}{\partial \eta_i} (c_j) \) in the the Allen-Cahn bulk residual.

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

Definition at line 21 of file NestedKKSMultiACBulkC.h.

Member Enumeration Documentation

◆ PFFunctionType

enum ACBulk::PFFunctionType

protectedinherited

Definition at line 37 of file ACBulk.h.

   {
     Jacobian,
     Residual
   };

Constructor & Destructor Documentation

◆ NestedKKSMultiACBulkC()

NestedKKSMultiACBulkC::NestedKKSMultiACBulkC ( const InputParameters & parameters )

Definition at line 29 of file NestedKKSMultiACBulkC.C.

   : KKSMultiACBulkBase(parameters),
     _c_names(coupledNames("global_cs")),
     _c_map(getParameterJvarMap("global_cs")),
     _num_c(coupledComponents("global_cs")),
     _eta_names(coupledNames("all_etas")),
     _eta_map(getParameterJvarMap("all_etas")),
     _k(-1),
     _ci_names(getParam<std::vector<MaterialPropertyName>>("ci_names")),
     _ci_name_matrix(_num_c),
     _prop_ci(_num_c),
     _dcidetaj(_num_c),
     _dcidb(_num_c),
     _prop_d2hjdetaidetap(_num_j),
     _dF1dc1(_num_c),
     _d2F1dc1db1(_num_c),
     _d2F1dc1darg(_n_args)
 {
   for (unsigned int i = 0; i < _num_j; ++i)
   {
     // get order parameter names and variable indices
     _eta_names[i] = getVar("all_etas", i)->name();
 
     // Set _k to the position of the nonlinear variable in the list of etaj's
     if (coupled("all_etas", i) == _var.number())
       _k = i;
   }
 
   // initialize _ci_name_matrix and _prop_ci for easy reference
   for (unsigned int m = 0; m < _num_c; ++m)
   {
     _ci_name_matrix[m].resize(_num_j);
     _prop_ci[m].resize(_num_j);
 
     for (const auto n : make_range(_num_j))
     {
       _ci_name_matrix[m][n] = _ci_names[m * _num_j + n];
       _prop_ci[m][n] = &getMaterialPropertyByName<Real>(_ci_name_matrix[m][n]);
     }
   }
 
   // _dcidetaj and _dcidb are computed in KKSPhaseConcentrationMultiPhaseDerivatives
   for (const auto m : make_range(_num_c))
   {
     _dcidetaj[m].resize(_num_j);
     _dcidb[m].resize(_num_j);
 
     for (const auto n : make_range(_num_j))
     {
       _dcidetaj[m][n].resize(_num_j);
       _dcidb[m][n].resize(_num_c);
 
       for (const auto l : make_range(_num_j))
         _dcidetaj[m][n][l] =
             &getMaterialPropertyDerivative<Real>(_ci_names[n + m * _num_j], _eta_names[l]);
 
       for (const auto l : make_range(_num_c))
         _dcidb[m][n][l] =
             &getMaterialPropertyDerivative<Real>(_ci_names[n + m * _num_j], _c_names[l]);
     }
   }
 
   for (const auto m : make_range(_num_j))
   {
     _prop_d2hjdetaidetap[m].resize(_num_j);
 
     for (const auto n : make_range(_num_j))
       _prop_d2hjdetaidetap[m][n] =
           &getMaterialPropertyDerivative<Real>(_hj_names[m], _eta_names[_k], _eta_names[n]);
   }
 
   // _dF1dc1 and _d2F1dc1db1 are computed in KKSPhaseConcentrationMultiPhaseMaterial
   for (const auto m : make_range(_num_c))
   {
     _dF1dc1[m] = &getMaterialPropertyDerivative<Real>(_Fj_names[0], _ci_names[m * _num_j]);
     _d2F1dc1db1[m].resize(_num_c);
 
     for (const auto n : make_range(_num_c))
       _d2F1dc1db1[m][n] = &getMaterialPropertyDerivative<Real>(
           _Fj_names[0], _ci_name_matrix[m][0], _ci_name_matrix[n][0]);
   }
 
   // _d2F1dc1darg are computed in KKSPhaseConcentrationMultiPhaseMaterial
   for (const auto m : make_range(_num_c))
   {
     _d2F1dc1darg[m].resize(_n_args);
 
     for (const auto n : make_range(_n_args))
       _d2F1dc1darg[m][n] =
           &getMaterialPropertyDerivative<Real>(_Fj_names[0], _ci_name_matrix[m][0], n);
   }
 }

Member Function Documentation

◆ computeDFDOP() [1/2]

Real NestedKKSMultiACBulkC::computeDFDOP ( PFFunctionType type )

protectedvirtual

For when this kernel is used in the Lagrange multiplier equation In that case the Lagrange multiplier is the nonlinear variable

Definition at line 123 of file NestedKKSMultiACBulkC.C.

 {
   Real sum = 0.0;
 
   switch (type)
   {
     case Residual:
 
       for (const auto m : make_range(_num_c))
       {
         Real sum1 = 0.0;
 
         for (const auto n : make_range(_num_j))
           sum1 += (*_prop_dhjdetai[n])[_qp] * (*_prop_ci[m][n])[_qp];
 
         sum += (*_dF1dc1[m])[_qp] * sum1;
       }
 
       return -sum;
 
     case Jacobian:
       if (_etai_var != _var.number())
         return 0.0;
 
       for (const auto m : make_range(_num_c))
       {
         Real sum1 = 0.0;
         Real sum2 = 0.0;
         Real sum3 = 0.0;
 
         for (const auto n : make_range(_num_c))
           sum1 += (*_d2F1dc1db1[m][n])[_qp] * (*_dcidetaj[n][0][_k])[_qp];
 
         for (const auto l : make_range(_num_j))
         {
           sum2 += (*_prop_dhjdetai[l])[_qp] * (*_prop_ci[m][l])[_qp];
 
           sum3 += (*_prop_d2hjdetaidetap[l][_k])[_qp] * (*_prop_ci[m][l])[_qp] +
                   (*_prop_dhjdetai[l])[_qp] * (*_dcidetaj[m][l][_k])[_qp];
         }
 
         sum += sum1 * sum2 + (*_dF1dc1[m])[_qp] * sum3;
       }
 
       return -sum * _phi[_j][_qp];
   }
 
   mooseError("Invalid type passed in");
 }

◆ computeDFDOP() [2/2]

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

protectedpure virtualinherited

◆ computeQpOffDiagJacobian()

Real NestedKKSMultiACBulkC::computeQpOffDiagJacobian ( unsigned int jvar )

protectedvirtual

Reimplemented from ACBulk< Real >.

Definition at line 176 of file NestedKKSMultiACBulkC.C.

 {
   // first get dependence of mobility _L on other variables using parent class member function Real
   Real res = ACBulk<Real>::computeQpOffDiagJacobian(jvar);
 
   Real sum = 0.0;
 
   // Then add dependence of KKSACBulkF on other variables if other cs are the coupled variables
   auto compvar = mapJvarToCvar(jvar, _c_map);
   if (compvar >= 0)
   {
     for (const auto m : make_range(_num_c))
     {
       Real sum1 = 0.0;
       Real sum2 = 0.0;
       Real sum3 = 0.0;
 
       for (const auto n : make_range(_num_c))
         sum1 += (*_d2F1dc1db1[m][n])[_qp] * (*_dcidb[n][0][compvar])[_qp];
 
       for (const auto l : make_range(_num_j))
       {
         sum2 += (*_prop_dhjdetai[l])[_qp] * (*_prop_ci[m][l])[_qp];
         sum3 += (*_prop_dhjdetai[l])[_qp] * (*_dcidb[m][l][compvar])[_qp];
       }
 
       sum += sum1 * sum2 + (*_dF1dc1[m])[_qp] * sum3;
     }
 
     res += -_L[_qp] * sum * _phi[_j][_qp] * _test[_i][_qp];
 
     return res;
   }
 
   // if order parameters are the coupled variables
   auto etavar = mapJvarToCvar(jvar, _eta_map);
   if (etavar >= 0)
   {
     for (const auto m : make_range(_num_c))
     {
       Real sum1 = 0.0;
       Real sum2 = 0.0;
       Real sum3 = 0.0;
 
       for (const auto n : make_range(_num_c))
         sum1 += (*_d2F1dc1db1[m][n])[_qp] * (*_dcidetaj[n][0][etavar])[_qp];
 
       for (const auto l : make_range(_num_j))
       {
         sum2 += (*_prop_dhjdetai[l])[_qp] * (*_prop_ci[m][l])[_qp];
 
         sum3 += (*_prop_d2hjdetaidetap[l][etavar])[_qp] * (*_prop_ci[m][l])[_qp] +
                 (*_prop_dhjdetai[l])[_qp] * (*_dcidetaj[m][l][etavar])[_qp];
       }
 
       sum += sum1 * sum2 + (*_dF1dc1[m])[_qp] * sum3;
     }
 
     res += -_L[_qp] * sum * _phi[_j][_qp] * _test[_i][_qp];
   }
 
   // for all other vars get the coupled variable jvar is referring to
   const unsigned int cvar = mapJvarToCvar(jvar);
   for (unsigned int m = 0; m < _num_c; ++m)
   {
     Real sum1 = 0.0;
 
     for (const auto n : make_range(_num_j))
       sum1 += (*_d2F1dc1darg[m][cvar])[_qp] * (*_prop_dhjdetai[n])[_qp] * (*_prop_ci[m][n])[_qp];
 
     res += -_L[_qp] * sum1 * _phi[_j][_qp] * _test[_i][_qp];
   }
 
   return res;
 }

◆ initialSetup()

void KKSMultiACBulkBase::initialSetup ( )

virtualinherited

Reimplemented from ACBulk< Real >.

Definition at line 72 of file KKSMultiACBulkBase.C.

 {
   ACBulk<Real>::initialSetup();
 
   for (unsigned int n = 0; n < _num_j; ++n)
   {
     validateNonlinearCoupling<Real>(_Fj_names[n]);
     validateNonlinearCoupling<Real>(_hj_names[n]);
   }
 }

◆ precomputeQpJacobian()

Real ACBulk< Real >::precomputeQpJacobian ( )

protectedvirtualinherited

Definition at line 97 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 86 of file ACBulk.h.

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

◆ validParams()

InputParameters NestedKKSMultiACBulkC::validParams ( )

static

Definition at line 15 of file NestedKKSMultiACBulkC.C.

 {
   InputParameters params = KKSMultiACBulkBase::validParams();
   params.addClassDescription("Multi-phase KKS model kernel (part 2 of 2) for the Bulk Allen-Cahn. "
                              "This includes all terms dependent on chemical potential.");
   params.addRequiredCoupledVar("global_cs", "Global concentrations, for example, c, b.");
   params.addRequiredCoupledVar("all_etas", "Order parameters.");
   params.addRequiredParam<std::vector<MaterialPropertyName>>(
       "ci_names",
       "Phase concentrations. They must have the same order as Fj_names and global_cs, for "
       "example, c1, c2, b1, b2.");
   return params;
 }

Member Data Documentation

◆ _c_map

const JvarMap& NestedKKSMultiACBulkC::_c_map

protected

Definition at line 34 of file NestedKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian().

◆ _c_names

std::vector<VariableName> NestedKKSMultiACBulkC::_c_names

protected

Global concentrations.

Definition at line 33 of file NestedKKSMultiACBulkC.h.

Referenced by NestedKKSMultiACBulkC().

◆ _ci_name_matrix

std::vector<std::vector<MaterialPropertyName> > NestedKKSMultiACBulkC::_ci_name_matrix

protected

Definition at line 49 of file NestedKKSMultiACBulkC.h.

Referenced by NestedKKSMultiACBulkC().

◆ _ci_names

std::vector<MaterialPropertyName> NestedKKSMultiACBulkC::_ci_names

protected

Phase concentrations.

Definition at line 48 of file NestedKKSMultiACBulkC.h.

Referenced by NestedKKSMultiACBulkC().

◆ _d2F1dc1darg

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSMultiACBulkC::_d2F1dc1darg

protected

Mixed partial derivatives of the free energy function wrt c and any other coupled variables \( \frac {d^2}{dc_1 dq} F_1 \).

Definition at line 70 of file NestedKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _d2F1dc1db1

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSMultiACBulkC::_d2F1dc1db1

protected

Second derivative of the free energy function \( \frac {d^2}{dc_1 db_1} F_1 \).

Definition at line 66 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _dcidb

std::vector<std::vector<std::vector<const MaterialProperty<Real> *> > > NestedKKSMultiACBulkC::_dcidb

protected

Derivative of phase concentrations wrt global concentrations \( \frac d{db} c_i \).

Definition at line 57 of file NestedKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _dcidetaj

std::vector<std::vector<std::vector<const MaterialProperty<Real> *> > > NestedKKSMultiACBulkC::_dcidetaj

protected

Derivative of phase concentrations wrt etaj \( \frac d{d{eta_j}} c_i \).

Definition at line 54 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _dF1dc1

std::vector<const MaterialProperty<Real> *> NestedKKSMultiACBulkC::_dF1dc1

protected

Derivative of the free energy function \( \frac d{dc_1} F_1 \).

Definition at line 63 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _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_map

const JvarMap& NestedKKSMultiACBulkC::_eta_map

protected

Definition at line 41 of file NestedKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian().

◆ _eta_names

std::vector<VariableName> NestedKKSMultiACBulkC::_eta_names

protected

Phase parameters.

Definition at line 40 of file NestedKKSMultiACBulkC.h.

Referenced by NestedKKSMultiACBulkC().

◆ _etai_name

VariableName KKSMultiACBulkBase::_etai_name

protectedinherited

name of order parameter that derivatives are taken wrt (needed to retrieve the derivative material properties)

Definition at line 34 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkBase::KKSMultiACBulkBase().

◆ _etai_var

unsigned int KKSMultiACBulkBase::_etai_var

protectedinherited

index of order parameter that derivatives are taken wrt

Definition at line 37 of file KKSMultiACBulkBase.h.

Referenced by computeDFDOP(), NestedKKSMultiACBulkF::computeDFDOP(), KKSMultiACBulkF::computeDFDOP(), KKSMultiACBulkC::computeDFDOP(), NestedKKSMultiACBulkF::computeQpOffDiagJacobian(), and KKSMultiACBulkF::computeQpOffDiagJacobian().

◆ _Fj_names

std::vector<MaterialPropertyName> KKSMultiACBulkBase::_Fj_names

protectedinherited

Names of free energy functions for each phase \( F_j \).

Definition at line 40 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkBase::initialSetup(), KKSMultiACBulkBase::KKSMultiACBulkBase(), KKSMultiACBulkC::KKSMultiACBulkC(), NestedKKSMultiACBulkC(), and NestedKKSMultiACBulkF::NestedKKSMultiACBulkF().

◆ _hj_names

std::vector<MaterialPropertyName> KKSMultiACBulkBase::_hj_names

protectedinherited

switching function names

Definition at line 50 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkBase::initialSetup(), KKSMultiACBulkBase::KKSMultiACBulkBase(), NestedKKSMultiACBulkC(), and NestedKKSMultiACBulkF::NestedKKSMultiACBulkF().

◆ _k

int NestedKKSMultiACBulkC::_k

protected

Position of the nonlinear variable in the list of cj's.

Definition at line 45 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), and NestedKKSMultiACBulkC().

◆ _L

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

protectedinherited

Mobility.

Definition at line 46 of file ACBulk.h.

◆ _num_c

unsigned int NestedKKSMultiACBulkC::_num_c

protected

Number of global concentrations.

Definition at line 37 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _num_j

unsigned int KKSMultiACBulkBase::_num_j

protectedinherited

Definition at line 41 of file KKSMultiACBulkBase.h.

Referenced by computeDFDOP(), NestedKKSMultiACBulkF::computeDFDOP(), KKSMultiACBulkF::computeDFDOP(), KKSMultiACBulkC::computeDFDOP(), computeQpOffDiagJacobian(), NestedKKSMultiACBulkF::computeQpOffDiagJacobian(), KKSMultiACBulkF::computeQpOffDiagJacobian(), KKSMultiACBulkC::computeQpOffDiagJacobian(), KKSMultiACBulkBase::initialSetup(), KKSMultiACBulkBase::KKSMultiACBulkBase(), KKSMultiACBulkC::KKSMultiACBulkC(), NestedKKSMultiACBulkC(), and NestedKKSMultiACBulkF::NestedKKSMultiACBulkF().

◆ _prop_ci

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSMultiACBulkC::_prop_ci

protected

Definition at line 50 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _prop_d2hjdetai2

std::vector<const MaterialProperty<Real> *> KKSMultiACBulkBase::_prop_d2hjdetai2

protectedinherited

Second derivatives of the switching functions wrt the order parameter for this kernel.

Definition at line 59 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkC::computeDFDOP(), KKSMultiACBulkF::computeDFDOP(), and KKSMultiACBulkBase::KKSMultiACBulkBase().

◆ _prop_d2hjdetaidarg

std::vector<std::vector<const MaterialProperty<Real> *> > KKSMultiACBulkBase::_prop_d2hjdetaidarg

protectedinherited

Second derivatives of the switching functions (needed for off-diagonal Jacobians)

Definition at line 62 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkC::computeQpOffDiagJacobian(), KKSMultiACBulkF::computeQpOffDiagJacobian(), and KKSMultiACBulkBase::KKSMultiACBulkBase().

◆ _prop_d2hjdetaidetap

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSMultiACBulkC::_prop_d2hjdetaidetap

protected

Second derivative of switching function \( \frac {d^2}{deta_i deta_p} h_j \).

Definition at line 60 of file NestedKKSMultiACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSMultiACBulkC().

◆ _prop_dFjdarg

std::vector<std::vector<const MaterialProperty<Real> *> > KKSMultiACBulkBase::_prop_dFjdarg

protectedinherited

Derivatives of the free energy functions (needed for off-diagonal Jacobians)

Definition at line 47 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkF::computeQpOffDiagJacobian(), and KKSMultiACBulkBase::KKSMultiACBulkBase().

◆ _prop_dhjdetai

std::vector<const MaterialProperty<Real> *> KKSMultiACBulkBase::_prop_dhjdetai

protectedinherited

Derivatives of the switching functions wrt the order parameter for this kernel.

Definition at line 56 of file KKSMultiACBulkBase.h.

Referenced by computeDFDOP(), NestedKKSMultiACBulkF::computeDFDOP(), KKSMultiACBulkC::computeDFDOP(), KKSMultiACBulkF::computeDFDOP(), NestedKKSMultiACBulkF::computeQpOffDiagJacobian(), computeQpOffDiagJacobian(), KKSMultiACBulkF::computeQpOffDiagJacobian(), KKSMultiACBulkC::computeQpOffDiagJacobian(), and KKSMultiACBulkBase::KKSMultiACBulkBase().

◆ _prop_Fj

std::vector<const MaterialProperty<Real> *> KKSMultiACBulkBase::_prop_Fj

protectedinherited

Values of the free energy functions for each phase \( F_j \).

Definition at line 44 of file KKSMultiACBulkBase.h.

Referenced by NestedKKSMultiACBulkF::computeDFDOP(), KKSMultiACBulkF::computeDFDOP(), NestedKKSMultiACBulkF::computeQpOffDiagJacobian(), KKSMultiACBulkF::computeQpOffDiagJacobian(), and KKSMultiACBulkBase::KKSMultiACBulkBase().

◆ _prop_hj

std::vector<const MaterialProperty<Real> *> KKSMultiACBulkBase::_prop_hj

protectedinherited

Values of the switching functions for each phase \( h_j \).

Definition at line 53 of file KKSMultiACBulkBase.h.

Referenced by KKSMultiACBulkBase::KKSMultiACBulkBase().

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

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

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Enumeration Documentation

◆ PFFunctionType

Constructor & Destructor Documentation

◆ NestedKKSMultiACBulkC()

Member Function Documentation

◆ computeDFDOP() [1/2]

◆ computeDFDOP() [2/2]

◆ computeQpOffDiagJacobian()

◆ initialSetup()

◆ precomputeQpJacobian()

◆ precomputeQpResidual()

◆ validParams()

Member Data Documentation

◆ _c_map

◆ _c_names

◆ _ci_name_matrix

◆ _ci_names

◆ _d2F1dc1darg

◆ _d2F1dc1db1

◆ _dcidb

◆ _dcidetaj

◆ _dF1dc1

◆ _dLdarg

◆ _dLdop

◆ _eta_map

◆ _eta_names

◆ _etai_name

◆ _etai_var

◆ _Fj_names

◆ _hj_names

◆ _k

◆ _L

◆ _num_c

◆ _num_j

◆ _prop_ci

◆ _prop_d2hjdetai2

◆ _prop_d2hjdetaidarg

◆ _prop_d2hjdetaidetap

◆ _prop_dFjdarg

◆ _prop_dhjdetai

◆ _prop_Fj

◆ _prop_hj