The OhmsLaw class calculates the internal (or analytic) flux term for the hyperresistive term of Ohm's Law: E + nu nabla^2 J = 0, or E_i. More...

#include <ohms_law.h>

Inheritance diagram for wxm::apps::hallmhd::hyperresistivity::OhmsLaw:

Detailed Description

The OhmsLaw class calculates the internal (or analytic) flux term for the hyperresistive term of Ohm's Law: E + nu nabla^2 J = 0, or E_i.

d/dx_j (F_ij) = 0 where F_ij = nu nabla J_ij = nu dJ_i/dx_j

This is used in wxm::dfem::variable_adjuster::auxiliary_variables::DivergenceIntegralByParts to calculate E which can then feed into MHD equations via DG calculation using wxm::apps::hallmhd::hyperresistivity::ElectricFieldEffect

See also: Warpy constructor: warpy::apps::mhd::hallmhd::hyperresistivity::hyperresistivity::ohms_law

Public Member Functions
	OhmsLaw ()
	Constructor.

	~OhmsLaw () override
	Destructor.

void	setup (const WxCryptSet &wxc) override
	Setup.

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

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

real	internal_flux (const real q, const real aux, const solverVariables_t *pSV, std::vector< std::vector< real > > &internalFlux) const override
	Internal flux definition.

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 override
	Numerical flux definition.

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	_hyperresistive_nu

std::vector< int >	_inputVariables

std::vector< int >	_outputVariables

std::string	_coordinate_system

int	_radial_index

int	_ir

int	_ith

int	_iz

std::vector< std::vector< real > >	_flux_tensor

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

◆ OhmsLaw()

wxm::apps::hallmhd::hyperresistivity::OhmsLaw::OhmsLaw ( )

Constructor.

◆ ~OhmsLaw()

wxm::apps::hallmhd::hyperresistivity::OhmsLaw::~OhmsLaw ( )

override

Destructor.

Member Function Documentation

◆ getInputVariableIndexes()

const std::vector< int > & wxm::apps::hallmhd::hyperresistivity::OhmsLaw::getInputVariableIndexes ( int flag ) const

inlineoverridevirtual

Get input variable indices.

Parameters

int flag

Returns: vector of gradJ indices

Reimplemented from wxm::app_base.

◆ getOutputVariableIndexes()

const std::vector< int > & wxm::apps::hallmhd::hyperresistivity::OhmsLaw::getOutputVariableIndexes ( int flag ) const

inlineoverridevirtual

Get output variable indices.

Parameters

int flag

Returns: vector of E_hyperres indices

Reimplemented from wxm::app_base.

◆ internal_flux()

real wxm::apps::hallmhd::hyperresistivity::OhmsLaw::internal_flux	(	const real *	q,
		const real *	aux,
		const solverVariables_t *	pSV,
		std::vector< std::vector< real > > &	internalFlux
	)		const

overridevirtual

Internal flux definition.

Parameters

const	pointer to q vars
const	pointer to aux vars
const	pointer to solverVariables_t struct
2D	vector of internal flux to be modified by this function

Returns: timestep

Reimplemented from WmApplication.

◆ numerical_flux()

real wxm::apps::hallmhd::hyperresistivity::OhmsLaw::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

overridevirtual

Numerical flux definition.

Parameters

const	pointer to left q vars
const	pointer to right q vars
const	pointer to left aux vars
const	pointer to right aux vars
const	pointer to solverVariables_t struct
pointer	to numerical flux array to be modified by this function

Returns: timestep

Reimplemented from WmApplication.

◆ setup()

void wxm::apps::hallmhd::hyperresistivity::OhmsLaw::setup ( const WxCryptSet & wxc )

overridevirtual

Setup.

Parameters

WxCryptSet object

Reimplemented from WmApplication.

Member Data Documentation

◆ _coordinate_system

std::string wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_coordinate_system

protected

◆ _flux_tensor

std::vector<std::vector<real> > wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_flux_tensor

mutableprotected

◆ _hyperresistive_nu

real wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_hyperresistive_nu

protected

◆ _inputVariables

std::vector<int> wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_inputVariables

protected

◆ _ir

int wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_ir

protected

◆ _ith

int wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_ith

protected

◆ _iz

int wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_iz

protected

◆ _outputVariables

std::vector<int> wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_outputVariables

protected

◆ _radial_index

int wxm::apps::hallmhd::hyperresistivity::OhmsLaw::_radial_index

protected

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

src/apps/mhd/hallmhd/hyperresistivity/ohms_law.h

Detailed Description

Public Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ OhmsLaw()

◆ ~OhmsLaw()

Member Function Documentation

◆ getInputVariableIndexes()

◆ getOutputVariableIndexes()

◆ internal_flux()

◆ numerical_flux()

◆ setup()

Member Data Documentation

◆ _coordinate_system

◆ _flux_tensor

◆ _hyperresistive_nu

◆ _inputVariables

◆ _ir

◆ _ith

◆ _iz

◆ _outputVariables

◆ _radial_index