Numerical method which computes multicomponent transport processes. More...

#include <aslFDStefanMaxwell.h>

Inheritance diagram for asl::FDStefanMaxwell:

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Collaboration diagram for asl::FDStefanMaxwell:

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Public Types
typedef SPDataWithGhostNodesACLData	Data
typedef SPAbstractDataWithGhostNodes	Field
typedef acl::VectorOfElements	Param
typedef SPDataWithGhostNodesACLData	Data
typedef SPAbstractDataWithGhostNodes	Field
typedef acl::VectorOfElements	Param

Public Member Functions
	FDStefanMaxwell ()
	FDStefanMaxwell (Data c1, Data c2, const acl::VectorOfElements &dC, const VectorTemplate *vT)
void	setDiffusionCoefficient (acl::VectorOfElements d, unsigned int i=0, unsigned int j=1)
const Param &	getDiffusionCoefficient (unsigned int i=0, unsigned int j=1) const
const Param &	getDustDiffusionCoefficient (unsigned int i=0) const
void	setDustDiffusionCoefficient (unsigned int i, const Param &dd)
void	setVectorTemplate (VectorTemplate *vT)
const VectorTemplate *	getVectorTemplate () const
void	setElectricField (Field phi)
Field	getElectricField () const
const Param &	getCharge (unsigned int i) const
void	setCharge (unsigned int i, const Param &q)
void	setVelocity (Field v)
Field	getVelocity ()
std::vector< Data > &	getData ()
void	addComponent (Data c, const Param &dC)
void	addComponent (Data c, const Param &dC, const Param &q)
	FDStefanMaxwell ()
	FDStefanMaxwell (Data c1, Data c2, const acl::VectorOfElements &dC, const VectorTemplate *vT)
void	setDiffusionCoefficient (acl::VectorOfElements d, unsigned int i=0, unsigned int j=1)
const Param &	getDiffusionCoefficient (unsigned int i=0, unsigned int j=1) const
const Param &	getDustDiffusionCoefficient (unsigned int i=0) const
void	setDustDiffusionCoefficient (unsigned int i, const Param &dd)
void	setVectorTemplate (VectorTemplate *vT)
const VectorTemplate *	getVectorTemplate () const
void	setElectricField (Field phi)
Field	getElectricField () const
const Param &	getCharge (unsigned int i) const
void	setCharge (unsigned int i, const Param &q)
void	setVelocity (Field v)
Field	getVelocity ()
std::vector< Data > &	getData ()
void	addComponent (Data c, const Param &dC)
void	addComponent (Data c, const Param &dC, const Param &q)
Public Member Functions inherited from asl::SingleKernelNM
virtual void	execute ()
	Executes the numerical procedure.
virtual void	init ()
	Builds the necesery internal data and kernels.
virtual	~SingleKernelNM ()
virtual void	execute ()
	Executes the numerical procedure.
virtual void	init ()
	Builds the necesery internal data and kernels.
virtual	~SingleKernelNM ()
Public Member Functions inherited from asl::NumMethod
virtual	~NumMethod ()
virtual	~NumMethod ()

Additional Inherited Members
Protected Member Functions inherited from asl::SingleKernelNM
virtual void	preProcessing ()
	the function executed before kernel->compute()
	SingleKernelNM (const acl::KernelConfiguration &kernelCongig)
virtual void	preProcessing ()
	the function executed before kernel->compute()
	SingleKernelNM (const acl::KernelConfiguration &kernelCongig)
Protected Attributes inherited from asl::SingleKernelNM
acl::SPKernel	kernel

Detailed Description

Numerical method which computes multicomponent transport processes.

\[ \partial_t c_i= - \vec \nabla \cdot \vec J - \vec \nabla \cdot (\vec v c_i) \]

\[ -\nabla c_i = \sum_{j, i\neq j} \frac{c_j\vec J_i-c_i\vec J_j}{c_tD_{ij}} + \frac{\vec J_i}{D_{i,D}}\]

where \(c_i\) is a molar concentration, \( v \) is the flow velocity, \(J_i\) is the molar flux, \(D_{i,D}\) is the component-dust diffusion coefficient, \(D_{ij}\) is the pair diffusion coefficient.

The second equation can be rewritten in the matrix form:

\[ -\vec \nabla c_i = \sum_k A_{ik} \vec J_k,\;\;\; A_{ik} \equiv \delta_{ik} \left(\frac{1}{D_{i,D}} + \Lambda_i + \frac{c_i}{c_tD_{ik}} \right) - \frac{c_i}{c_tD_{ik}},\;\;\; \Lambda_i \equiv \sum_{j, j\neq i} \frac{c_j}{c_tD_{ij}}\]

class parameters are related to the quation ones as follows

Parameters

cData	corresponds to \(c_i\)
diffusionCoefficients	corresponds to \(D_{ij}\)
velocity	corresponds to \(\vec v\)

Definition at line 68 of file aslFDStefanMaxwell.h.

Member Typedef Documentation

◆ Data [1/2]

typedef SPDataWithGhostNodesACLData asl::FDStefanMaxwell::Data

Definition at line 71 of file aslFDStefanMaxwell.h.

◆ Data [2/2]

typedef SPDataWithGhostNodesACLData asl::FDStefanMaxwell::Data

Definition at line 71 of file aslFDStefanMaxwell.h.

◆ Field [1/2]

typedef SPAbstractDataWithGhostNodes asl::FDStefanMaxwell::Field

Definition at line 72 of file aslFDStefanMaxwell.h.

◆ Field [2/2]

typedef SPAbstractDataWithGhostNodes asl::FDStefanMaxwell::Field

Definition at line 72 of file aslFDStefanMaxwell.h.

◆ Param [1/2]

typedef acl::VectorOfElements asl::FDStefanMaxwell::Param

Definition at line 73 of file aslFDStefanMaxwell.h.

◆ Param [2/2]

typedef acl::VectorOfElements asl::FDStefanMaxwell::Param

Definition at line 73 of file aslFDStefanMaxwell.h.

Constructor & Destructor Documentation

◆ FDStefanMaxwell() [1/4]

asl::FDStefanMaxwell::FDStefanMaxwell ( )

◆ FDStefanMaxwell() [2/4]

asl::FDStefanMaxwell::FDStefanMaxwell	(	Data	c1,
		Data	c2,
		const acl::VectorOfElements &	dC,
		const VectorTemplate *	vT )

◆ FDStefanMaxwell() [3/4]

asl::FDStefanMaxwell::FDStefanMaxwell ( )

◆ FDStefanMaxwell() [4/4]

asl::FDStefanMaxwell::FDStefanMaxwell	(	Data	c1,
		Data	c2,
		const acl::VectorOfElements &	dC,
		const VectorTemplate *	vT )

Member Function Documentation

◆ addComponent() [1/4]

void asl::FDStefanMaxwell::addComponent	(	Data	c,
		const Param &	dC )

◆ addComponent() [2/4]

void asl::FDStefanMaxwell::addComponent	(	Data	c,
		const Param &	dC )

◆ addComponent() [3/4]

void asl::FDStefanMaxwell::addComponent	(	Data	c,
		const Param &	dC,
		const Param &	q )

◆ addComponent() [4/4]

void asl::FDStefanMaxwell::addComponent	(	Data	c,
		const Param &	dC,
		const Param &	q )

◆ getCharge() [1/2]

const acl::VectorOfElements & asl::FDStefanMaxwell::getCharge ( unsigned int i ) const

inline

Definition at line 213 of file aslFDStefanMaxwell.h.

◆ getCharge() [2/2]

const Param & asl::FDStefanMaxwell::getCharge ( unsigned int i ) const

inline

◆ getData() [1/2]

std::vector< FDStefanMaxwell::Data > & asl::FDStefanMaxwell::getData ( )

inline

Definition at line 190 of file aslFDStefanMaxwell.h.

◆ getData() [2/2]

std::vector< Data > & asl::FDStefanMaxwell::getData ( )

inline

◆ getDiffusionCoefficient() [1/2]

const acl::VectorOfElements & asl::FDStefanMaxwell::getDiffusionCoefficient	(	unsigned int	i = 0,
		unsigned int	j = 1 ) const

inline

Definition at line 201 of file aslFDStefanMaxwell.h.

◆ getDiffusionCoefficient() [2/2]

const Param & asl::FDStefanMaxwell::getDiffusionCoefficient	(	unsigned int	i = 0,
		unsigned int	j = 1 ) const

inline

◆ getDustDiffusionCoefficient() [1/2]

const acl::VectorOfElements & asl::FDStefanMaxwell::getDustDiffusionCoefficient ( unsigned int i = 0 ) const

inline

Definition at line 207 of file aslFDStefanMaxwell.h.

◆ getDustDiffusionCoefficient() [2/2]

const Param & asl::FDStefanMaxwell::getDustDiffusionCoefficient ( unsigned int i = 0 ) const

inline

◆ getElectricField() [1/2]

Field asl::FDStefanMaxwell::getElectricField ( ) const

◆ getElectricField() [2/2]

Field asl::FDStefanMaxwell::getElectricField ( ) const

◆ getVectorTemplate() [1/2]

const VectorTemplate * asl::FDStefanMaxwell::getVectorTemplate ( ) const

inline

Definition at line 195 of file aslFDStefanMaxwell.h.

◆ getVectorTemplate() [2/2]

const VectorTemplate * asl::FDStefanMaxwell::getVectorTemplate ( ) const

inline

◆ getVelocity() [1/2]

FDStefanMaxwell::Field asl::FDStefanMaxwell::getVelocity ( )

inline

Definition at line 185 of file aslFDStefanMaxwell.h.

◆ getVelocity() [2/2]

Field asl::FDStefanMaxwell::getVelocity ( )

inline

◆ setCharge() [1/2]

void asl::FDStefanMaxwell::setCharge	(	unsigned int	i,
		const Param &	q )

◆ setCharge() [2/2]

void asl::FDStefanMaxwell::setCharge	(	unsigned int	i,
		const Param &	q )

◆ setDiffusionCoefficient() [1/2]

void asl::FDStefanMaxwell::setDiffusionCoefficient	(	acl::VectorOfElements	d,
		unsigned int	i = 0,
		unsigned int	j = 1 )

◆ setDiffusionCoefficient() [2/2]

void asl::FDStefanMaxwell::setDiffusionCoefficient	(	acl::VectorOfElements	d,
		unsigned int	i = 0,
		unsigned int	j = 1 )

◆ setDustDiffusionCoefficient() [1/2]

void asl::FDStefanMaxwell::setDustDiffusionCoefficient	(	unsigned int	i,
		const Param &	dd )

◆ setDustDiffusionCoefficient() [2/2]

void asl::FDStefanMaxwell::setDustDiffusionCoefficient	(	unsigned int	i,
		const Param &	dd )

◆ setElectricField() [1/2]

void asl::FDStefanMaxwell::setElectricField ( Field phi )

◆ setElectricField() [2/2]

void asl::FDStefanMaxwell::setElectricField ( Field phi )

◆ setVectorTemplate() [1/2]

void asl::FDStefanMaxwell::setVectorTemplate ( VectorTemplate * vT )

◆ setVectorTemplate() [2/2]

void asl::FDStefanMaxwell::setVectorTemplate ( VectorTemplate * vT )

◆ setVelocity() [1/2]

void asl::FDStefanMaxwell::setVelocity ( Field v )

◆ setVelocity() [2/2]

void asl::FDStefanMaxwell::setVelocity ( Field v )

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

/build/asl-FBaFQT/asl-0.1.7/debian/tmp/usr/include/ASL/num/aslFDStefanMaxwell.h
/build/asl-FBaFQT/asl-0.1.7/src/num/aslFDStefanMaxwell.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Data [1/2]

◆ Data [2/2]

◆ Field [1/2]

◆ Field [2/2]

◆ Param [1/2]

◆ Param [2/2]

Constructor & Destructor Documentation

◆ FDStefanMaxwell() [1/4]

◆ FDStefanMaxwell() [2/4]

◆ FDStefanMaxwell() [3/4]

◆ FDStefanMaxwell() [4/4]

Member Function Documentation

◆ addComponent() [1/4]

◆ addComponent() [2/4]

◆ addComponent() [3/4]

◆ addComponent() [4/4]

◆ getCharge() [1/2]

◆ getCharge() [2/2]

◆ getData() [1/2]

◆ getData() [2/2]

◆ getDiffusionCoefficient() [1/2]

◆ getDiffusionCoefficient() [2/2]

◆ getDustDiffusionCoefficient() [1/2]

◆ getDustDiffusionCoefficient() [2/2]

◆ getElectricField() [1/2]

◆ getElectricField() [2/2]

◆ getVectorTemplate() [1/2]

◆ getVectorTemplate() [2/2]

◆ getVelocity() [1/2]

◆ getVelocity() [2/2]

◆ setCharge() [1/2]

◆ setCharge() [2/2]

◆ setDiffusionCoefficient() [1/2]

◆ setDiffusionCoefficient() [2/2]

◆ setDustDiffusionCoefficient() [1/2]

◆ setDustDiffusionCoefficient() [2/2]

◆ setElectricField() [1/2]

◆ setElectricField() [2/2]

◆ setVectorTemplate() [1/2]

◆ setVectorTemplate() [2/2]

◆ setVelocity() [1/2]

◆ setVelocity() [2/2]