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

#include <aslFDStefanMaxwell.h>

Inheritance diagram for asl::FDStefanMaxwell:

Collaboration diagram for asl::FDStefanMaxwell:

Public Types
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)

Public Member Functions inherited from asl::SingleKernelNM
virtual void	execute ()
	Executes the numerical procedure. More...

virtual void	init ()
	Builds the necesery internal data and kernels. More...

virtual	~SingleKernelNM ()

Public Member Functions inherited from asl::NumMethod
virtual	~NumMethod ()

Additional Inherited Members
Protected Member Functions inherited from asl::SingleKernelNM
virtual void	preProcessing ()
	the function executed before kernel->compute() More...

	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

typedef SPDataWithGhostNodesACLData asl::FDStefanMaxwell::Data

Definition at line 71 of file aslFDStefanMaxwell.h.

typedef SPAbstractDataWithGhostNodes asl::FDStefanMaxwell::Field

Definition at line 72 of file aslFDStefanMaxwell.h.

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

Definition at line 73 of file aslFDStefanMaxwell.h.

Constructor & Destructor Documentation

asl::FDStefanMaxwell::FDStefanMaxwell ( )

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

Member Function Documentation

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

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

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

inline

Definition at line 213 of file aslFDStefanMaxwell.h.

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

inline

Definition at line 190 of file aslFDStefanMaxwell.h.

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

inline

Definition at line 201 of file aslFDStefanMaxwell.h.

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

inline

Definition at line 207 of file aslFDStefanMaxwell.h.

Field asl::FDStefanMaxwell::getElectricField ( ) const

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

inline

Definition at line 195 of file aslFDStefanMaxwell.h.

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

inline

Definition at line 185 of file aslFDStefanMaxwell.h.

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

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

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

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

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

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

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

/builddir/build/BUILD/ASL-0.1.7/src/num/aslFDStefanMaxwell.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation