ConsistentSpecificHeatTimeDerivative Class Reference

A class for defining the time derivative of the heat equation. More...

#include <ConsistentSpecificHeatTimeDerivative.h>

Inheritance diagram for ConsistentSpecificHeatTimeDerivative:
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## Public Member Functions

ConsistentSpecificHeatTimeDerivative (const InputParameters &parameters)

## Protected Member Functions

virtual Real computeQpResidual () override

virtual Real computeQpJacobian () override

virtual Real computeQpOffDiagJacobian (unsigned int jvar) override

## Protected Attributes

const MaterialProperty< Real > & _specific_heat
Specific heat and its derivatives with respect to temperature and other coupled variables. More...

const MaterialProperty< Real > & _d_specific_heat_dT

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

const MaterialProperty< Real > & _density
Density and its derivatives with respect to temperature and other coupled variables. More...

const MaterialProperty< Real > & _d_density_dT

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

## Detailed Description

A class for defining the time derivative of the heat equation.

By default this Kernel computes: $$(c_p * rho + c_p * T * \frac{\partial rho}{\partial T} + rho * T * \frac{\partial c_p}{\partial T}) * \frac{\partial T}{\partial t},$$ where $$c_p$$ is material property for the "specific_heat" and $$rho$$ is the material property for the density.

Definition at line 29 of file ConsistentSpecificHeatTimeDerivative.h.

## Constructor & Destructor Documentation

 ConsistentSpecificHeatTimeDerivative::ConsistentSpecificHeatTimeDerivative ( const InputParameters & parameters )

Definition at line 24 of file ConsistentSpecificHeatTimeDerivative.C.

27 {
28 }
SpecificHeatConductionTimeDerivative(const InputParameters &parameters)

## Member Function Documentation

 Real SpecificHeatConductionTimeDerivative::computeQpJacobian ( )
overrideprotectedvirtualinherited

Definition at line 61 of file SpecificHeatConductionTimeDerivative.C.

62 {
63  const Real dT = TimeDerivative::computeQpResidual();
64
65  // on-diagonal Jacobian with all terms that may depend on the kernel variable
66  return _specific_heat[_qp] * _density[_qp] * TimeDerivative::computeQpJacobian() +
67  _d_specific_heat_dT[_qp] * _phi[_j][_qp] * _density[_qp] * dT +
68  _specific_heat[_qp] * _d_density_dT[_qp] * _phi[_j][_qp] * dT;
69 }
const MaterialProperty< Real > & _density
Density and its derivatives with respect to temperature and other coupled variables.
const MaterialProperty< Real > & _specific_heat
Specific heat and its derivatives with respect to temperature and other coupled variables.
 Real SpecificHeatConductionTimeDerivative::computeQpOffDiagJacobian ( unsigned int jvar )
overrideprotectedvirtualinherited

Definition at line 72 of file SpecificHeatConductionTimeDerivative.C.

73 {
74  // get the coupled variable jvar is referring to
75  const unsigned int cvar = mapJvarToCvar(jvar);
76
77  // off-diagonal contribution with terms that depend on coupled variables
78  const Real dT = TimeDerivative::computeQpResidual();
79  return (*_d_specific_heat_dargs[cvar])[_qp] * _phi[_j][_qp] * _density[_qp] * dT +
80  _specific_heat[_qp] * (*_d_density_dargs[cvar])[_qp] * _phi[_j][_qp] * dT;
81 }
std::vector< const MaterialProperty< Real > * > _d_density_dargs
const MaterialProperty< Real > & _density
Density and its derivatives with respect to temperature and other coupled variables.
std::vector< const MaterialProperty< Real > * > _d_specific_heat_dargs
const MaterialProperty< Real > & _specific_heat
Specific heat and its derivatives with respect to temperature and other coupled variables.
 Real ConsistentSpecificHeatTimeDerivative::computeQpResidual ( )
overrideprotectedvirtual

Reimplemented from SpecificHeatConductionTimeDerivative.

Definition at line 31 of file ConsistentSpecificHeatTimeDerivative.C.

32 {
33  return (_specific_heat[_qp] * _density[_qp] + _d_density_dT[_qp] * _specific_heat[_qp] * _u[_qp] +
34  _d_specific_heat_dT[_qp] * _density[_qp] * _u[_qp]) *
35  TimeDerivative::computeQpResidual();
36 }
const MaterialProperty< Real > & _density
Density and its derivatives with respect to temperature and other coupled variables.
const MaterialProperty< Real > & _specific_heat
Specific heat and its derivatives with respect to temperature and other coupled variables.

## Member Data Documentation

 std::vector *> SpecificHeatConductionTimeDerivative::_d_density_dargs
protectedinherited

Definition at line 49 of file SpecificHeatConductionTimeDerivative.h.

 const MaterialProperty& SpecificHeatConductionTimeDerivative::_d_density_dT
protectedinherited
 std::vector *> SpecificHeatConductionTimeDerivative::_d_specific_heat_dargs
protectedinherited

Definition at line 43 of file SpecificHeatConductionTimeDerivative.h.

 const MaterialProperty& SpecificHeatConductionTimeDerivative::_d_specific_heat_dT
protectedinherited
 const MaterialProperty& SpecificHeatConductionTimeDerivative::_density
protectedinherited

Density and its derivatives with respect to temperature and other coupled variables.

Definition at line 47 of file SpecificHeatConductionTimeDerivative.h.

 const MaterialProperty& SpecificHeatConductionTimeDerivative::_specific_heat
protectedinherited

Specific heat and its derivatives with respect to temperature and other coupled variables.

Definition at line 41 of file SpecificHeatConductionTimeDerivative.h.

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