Computes the Full Dyadic Second Moment which becomes the Fluid Momentum Flux Gamma = Full velocity space integral of vec{v}(A_{alpha} vec{v} f_{alpha}) d^{3}vec{v} or \Gamma = \iiint \boldsymbol{v} \left(A_{\alpha} \boldsymbol{v} f_{\alpha}\right) d^3\boldsymbol{v} where alpha is the species We find from moments of the Boltzmann equation: Gamma = A_{alpha}n_{alpha} vec{v}_{alpha}vec{v}_{alpha} + P_{alpha} or \Gamma = A_{\alpha}n_{\alpha} \boldsymbol{v}_{\alpha}\boldsymbol{v}_{\alpha} + P_{\alpha}. More...

#include <full_dyadic_second_moment.h>

Inheritance diagram for wxm::apps::vlasovmaxwell::FullDyadicSecondMoment:

Detailed Description

Computes the Full Dyadic Second Moment which becomes the Fluid Momentum Flux Gamma = Full velocity space integral of vec{v}(A_{alpha} vec{v} f_{alpha}) d^{3}vec{v} or \Gamma = \iiint \boldsymbol{v} \left(A_{\alpha} \boldsymbol{v} f_{\alpha}\right) d^3\boldsymbol{v} where alpha is the species We find from moments of the Boltzmann equation: Gamma = A_{alpha}n_{alpha} vec{v}_{alpha}vec{v}_{alpha} + P_{alpha} or \Gamma = A_{\alpha}n_{\alpha} \boldsymbol{v}_{\alpha}\boldsymbol{v}_{\alpha} + P_{\alpha}.

This moment is useful for using as a momentum flux boundary condition for the fluid (5N-Moment) from the Kinetic Model

Note: This becomes a symmetric tensor so instead of all 9 components, the unique 6 components are calculated: \iiint v_{x} \left(A_{\alpha} v_{x} f_{\alpha}\right) d^3\boldsymbol{v} \iiint v_{x} \left(A_{\alpha} v_{y} f_{\alpha}\right) d^3\boldsymbol{v} \iiint v_{x} \left(A_{\alpha} v_{z} f_{\alpha}\right) d^3\boldsymbol{v} \iiint v_{y} \left(A_{\alpha} v_{y} f_{\alpha}\right) d^3\boldsymbol{v} \iiint v_{y} \left(A_{\alpha} v_{z} f_{\alpha}\right) d^3\boldsymbol{v} \iiint v_{z} \left(A_{\alpha} v_{z} f_{\alpha}\right) d^3\boldsymbol{v}

Public Member Functions
	FullDyadicSecondMoment ()
	Constructor.

	~FullDyadicSecondMoment () override
	Destructor.

void	setup (const WxCryptSet &wxc) override
	Setup.

const std::vector< int > &	getInputVariableIndexes (int flag) const override
	Grab input variable indices.

const std::vector< int > &	getOutputVariableIndexes (int flag) const override
	Grab output variable indices.

void	evaluate_function (const real q, const real aux, const solverVariables_t pSV, real result) const override
	Redefinition of the function evaluator.

Public Member Functions inherited from WmApplication
	WmApplication ()

virtual	~WmApplication ()=default

virtual void	setup (const WxCryptSet &wxc)

virtual const std::vector< int > &	getAuxiliaryVariableIndexes (int flag=WMAPPLICATIONFLAG_NONE) const

virtual const std::vector< int > &	getCrossVariableIndexes (int flag=WMAPPLICATIONFLAG_NONE) const

const std::vector< std::string > &	getBoundaryNames () const

bool	isOnBoundary (const std::string &boundaryName) const

bool	has (int flag) const

virtual real	numerical_flux (const real q_l, const real q_r, const real aux_l, const real aux_r, const solverVariables_t pFV, real numericalFlux) const

virtual real	internal_flux (const real q, const real aux, const solverVariables_t *pSV, std::vector< std::vector< real > > &internalFlux) const

virtual real	source (const real q, const real aux, const elementGeometry_t pEG, real source) const

virtual void	bc_q (const real q_in, const real aux_in, const real aux_out, const solverVariables_t pFV, real *q_out) const
	Boundary Condition Application which sets the boundary condition on ghost nodes.

virtual real	bcNumericalFlux (const real q_l, const real q_r, const real aux_l, const real aux_r, const solverVariables_t pFV, real numericalFlux) const

virtual void	conserved_to_primitive (const real q, const real aux, real *w) const

virtual void	primitive_to_conserved (const real w, const real aux, real *q) const

virtual void	evaluate_function (const real q, const real aux, const solverVariables_t pSV, real result) const

virtual void	bc_q_kinetic (const real q_in, const real aux_in, const solverVariables_t pFV, real q_out) const

std::shared_ptr< std::string >	app_name ()

virtual const std::vector< int > &	getInputVariableIndexes (int flag=0) const

virtual const std::vector< int > &	getOutputVariableIndexes (int flag=0) const

Protected Attributes
real	_mass

std::vector< int >	_input_variables

std::vector< int >	_output_variables

Protected Attributes inherited from WmApplication
std::string	_app_name

WxLogStream	_debStrm

std::vector< int >	_allowedFlags

std::vector< std::string >	_onBoundaries

Additional Inherited Members
Public Types inherited from WmApplication
typedef Application_Variable	WmApplication_Variable

typedef std::map< std::string, std::string >	replaceMap_t

Static Public Attributes inherited from wxm::app_base
static std::vector< int >	empty

Protected Member Functions inherited from wxm::app_base
virtual	~app_base ()=default

Constructor & Destructor Documentation

◆ FullDyadicSecondMoment()

wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::FullDyadicSecondMoment ( )

Constructor.

◆ ~FullDyadicSecondMoment()

wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::~FullDyadicSecondMoment ( )

override

Destructor.

Member Function Documentation

◆ evaluate_function()

void wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::evaluate_function	(	const real *	q,
		const real *	aux,
		const solverVariables_t *	pSV,
		real *	result
	)		const

overridevirtual

Redefinition of the function evaluator.

Parameters

const	q - input variable
const	aux - auxiliary variable
const	pSV - solver variable structure
result	- output variable

Reimplemented from WmApplication.

◆ getInputVariableIndexes()

const std::vector< int > & wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::getInputVariableIndexes ( int flag ) const

inlineoverridevirtual

Grab input variable indices.

Parameters

int	flag - usually flag is given like flux type but usually not checked

Returns: vector of input variable indices

Reimplemented from wxm::app_base.

◆ getOutputVariableIndexes()

const std::vector< int > & wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::getOutputVariableIndexes ( int flag ) const

inlineoverridevirtual

Grab output variable indices.

Parameters

int	flag - usually flag is given like flux type but usually not checked

Returns: vector of output variable indices

Reimplemented from wxm::app_base.

◆ setup()

void wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::setup ( const WxCryptSet & wxc )

overridevirtual

Setup.

Parameters

WxCryptSet object

Reimplemented from WmApplication.

Member Data Documentation

◆ _input_variables

std::vector<int> wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::_input_variables

protected

◆ _mass

real wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::_mass

protected

◆ _output_variables

std::vector<int> wxm::apps::vlasovmaxwell::FullDyadicSecondMoment::_output_variables

protected

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

src/apps/vlasovmaxwell/full_dyadic_second_moment.h

Detailed Description

Public Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ FullDyadicSecondMoment()

◆ ~FullDyadicSecondMoment()

Member Function Documentation

◆ evaluate_function()

◆ getInputVariableIndexes()

◆ getOutputVariableIndexes()

◆ setup()

Member Data Documentation

◆ _input_variables

◆ _mass

◆ _output_variables