Class that calculates the analytic solution to the Hartmann Flow Problem for the MHD Equations. More...

#include <hartmann_flow.h>

Inheritance diagram for wxm::apps::mhd::analytic_solutions::Hartmann_flow:

Detailed Description

Class that calculates the analytic solution to the Hartmann Flow Problem for the MHD Equations.

Public Member Functions
	Hartmann_flow ()

	~Hartmann_flow () override

void	setup (const WxCryptSet &wxc) override
	Determine all states and wave speeds given initial pritimive variable left and right conditions for the Riemann Problem.

const std::vector< int > &	getOutputVariableIndexes (int flag) const override

void	evaluate_function (const real q, const real aux, const solverVariables_t pSV, real result) const override
	Redefinition of fluxes from parent.

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 ()

Public Member Functions inherited from wxm::app_base
virtual const std::vector< int > &	getInputVariableIndexes (int flag=0) const

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

Static Public Member Functions
static void	analytic_solution (real x, real gasGamma, real hartmann_number_reference, real reynolds_number_reference, real bx, real L, real eta, real mu, real dpdy, real wall_velocity, real *result)

Protected Attributes
real	_gasGamma

real	_density

real	_pressure

real	_wall_velocity

real	_bx

real	_dpdy

real	_L

real	_eta

real	_mu

real	_hartmann_number_reference

real	_reynolds_number_reference

std::vector< int >	_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

◆ Hartmann_flow()

wxm::apps::mhd::analytic_solutions::Hartmann_flow::Hartmann_flow ( )

◆ ~Hartmann_flow()

wxm::apps::mhd::analytic_solutions::Hartmann_flow::~Hartmann_flow ( )

override

Member Function Documentation

◆ analytic_solution()

static void wxm::apps::mhd::analytic_solutions::Hartmann_flow::analytic_solution	(	real	x,
		real	gasGamma,
		real	hartmann_number_reference,
		real	reynolds_number_reference,
		real	bx,
		real	L,
		real	eta,
		real	mu,
		real	dpdy,
		real	wall_velocity,
		real *	result
	)

static

◆ evaluate_function()

void wxm::apps::mhd::analytic_solutions::Hartmann_flow::evaluate_function	(	const real *	q,
		const real *	aux,
		const solverVariables_t *	pSV,
		real *	result
	)		const

overridevirtual

Redefinition of fluxes from parent.

Given 1d position x and time, determine analytic solution of Euler conserved variables.

Parameters

q	(input, unused)
aux	(auxiliary vars, unused)
pSV	solverVariables_t pointer contains position x and time
result	(output vars, writing to this)

Reimplemented from WmApplication.

◆ getOutputVariableIndexes()

const std::vector< int > & wxm::apps::mhd::analytic_solutions::Hartmann_flow::getOutputVariableIndexes ( int flag ) const

inlineoverridevirtual

Reimplemented from wxm::app_base.

◆ setup()

void wxm::apps::mhd::analytic_solutions::Hartmann_flow::setup ( const WxCryptSet & wxc )

overridevirtual

Determine all states and wave speeds given initial pritimive variable left and right conditions for the Riemann Problem.

This is an implementation of the solution described in sections 14.11 and 14.12 of "Finite Volume Methods for Hyperbolic Problems" by Randall J. Leveque, 2002.
Note: Input and Aux vars are not used as the analytic solution is directly calculated.

Parameters

WxCryptSet wxc which should contain GAS_GAMMA, "LeftPrimitiveState", RightPrimitiveState", and "Fluid" variables that are being calculated as ouput.

Reimplemented from WmApplication.

Member Data Documentation

◆ _bx

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_bx

protected

◆ _density

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_density

protected

◆ _dpdy

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_dpdy

protected

◆ _eta

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_eta

protected

◆ _gasGamma

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_gasGamma

protected

◆ _hartmann_number_reference

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_hartmann_number_reference

protected

◆ _L

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_L

protected

◆ _mu

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_mu

protected

◆ _pressure

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_pressure

protected

◆ _reynolds_number_reference

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_reynolds_number_reference

protected

◆ _variables

std::vector<int> wxm::apps::mhd::analytic_solutions::Hartmann_flow::_variables

protected

◆ _wall_velocity

real wxm::apps::mhd::analytic_solutions::Hartmann_flow::_wall_velocity

protected

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

src/apps/mhd/analytic_solutions/hartmann_flow.h

Detailed Description

Public Member Functions

Static Public Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ Hartmann_flow()

◆ ~Hartmann_flow()

Member Function Documentation

◆ analytic_solution()

◆ evaluate_function()

◆ getOutputVariableIndexes()

◆ setup()

Member Data Documentation

◆ _bx

◆ _density

◆ _dpdy

◆ _eta

◆ _gasGamma

◆ _hartmann_number_reference

◆ _L

◆ _mu

◆ _pressure

◆ _reynolds_number_reference

◆ _variables

◆ _wall_velocity