#include <mhd-solutions.hpp>

Inheritance diagram for HArDCore2D::MHDSolutions::Kovasznay:

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Collaboration diagram for HArDCore2D::MHDSolutions::Kovasznay:

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Public Member Functions
	Kovasznay (const double &viscosity, std::ostream &output=std::cout)
	Construct the class given the Reynolds number.

Eigen::Vector2d	momentumForcingTerm (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	magneticForcingTerm (const Eigen::Vector2d &x, const double &t=0) const

double	compressibilityForcingTerm (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	velocity (const Eigen::Vector2d &x, const double &t=0) const

double	pressure (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Matrix2d	velocityGradient (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	pressureGradient (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	magnetic_field (const Eigen::Vector2d &x, const double &t=0) const

double	magnetic_pressure (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Matrix2d	magnetic_fieldGradient (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	magnetic_pressureGradient (const Eigen::Vector2d &x, const double &t=0) const

	Kovasznay (const double &viscosity, std::ostream &output=std::cout)
	Construct the class given the Reynolds number.

Eigen::Vector2d	momentumForcingTerm (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	magneticForcingTerm (const Eigen::Vector2d &x, const double &t=0) const

double	compressibilityForcingTerm (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	velocity (const Eigen::Vector2d &x, const double &t=0) const

double	pressure (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Matrix2d	velocityGradient (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	pressureGradient (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	magnetic_field (const Eigen::Vector2d &x, const double &t=0) const

double	magnetic_pressure (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Matrix2d	magnetic_fieldGradient (const Eigen::Vector2d &x, const double &t=0) const

Eigen::Vector2d	magnetic_pressureGradient (const Eigen::Vector2d &x, const double &t=0) const

Public Member Functions inherited from HArDCore2D::MHDSolutions::IExactSolution
	IExactSolution (std::string name, bool fluid_magnetic_coupling, bool is_stokes, bool steady_fluid_equation, bool steady_magnetic_equation, double viscosity, double magnetic_diffusivity)

	IExactSolution (std::string name, bool fluid_magnetic_coupling, bool is_stokes, bool steady_fluid_equation, bool steady_magnetic_equation, double viscosity, double magnetic_diffusivity, double U, double B)

virtual	~IExactSolution ()

std::string	name () const
	Return the solution name.

bool	fluid_magnetic_coupling () const
	Return true if the fluid and magnetic field are coupled in the two equations.

bool	isStokes () const

bool	steady_fluid_equation () const
	Return true if the fluid field is steady, false if unsteady!

bool	steady_magnetic_equation () const
	Return true if the magnetic field is steady, false if unsteady!

double	viscosity () const
	Return the viscosity.

double	magnetic_diffusivity () const
	Return the magnetic diffusivity.

double	U () const

double	B () const

	IExactSolution (std::string name, bool fluid_magnetic_coupling, bool is_stokes, bool steady_fluid_equation, bool steady_magnetic_equation, double viscosity, double magnetic_diffusivity)

	IExactSolution (std::string name, bool fluid_magnetic_coupling, bool is_stokes, bool steady_fluid_equation, bool steady_magnetic_equation, double viscosity, double magnetic_diffusivity, double U, double B)

virtual	~IExactSolution ()

std::string	name () const
	Return the solution name.

bool	fluid_magnetic_coupling () const
	Return true if the fluid and magnetic field are coupled in the two equations.

bool	isStokes () const

bool	steady_fluid_equation () const
	Return true if the fluid field is steady, false if unsteady!

bool	steady_magnetic_equation () const
	Return true if the magnetic field is steady, false if unsteady!

double	viscosity () const
	Return the viscosity.

double	magnetic_diffusivity () const
	Return the magnetic diffusivity.

double	U () const

double	B () const

Static Public Attributes
static Mesh2D::MeshBuilder::TransformationType	domain_transformation
	A function to transform the unit domain to \((-\frac12,\frac32)\times (0,2)\).

Additional Inherited Members
Protected Attributes inherited from HArDCore2D::MHDSolutions::IExactSolution
std::string	m_name

bool	m_fluid_magnetic_coupling

bool	m_is_stokes

bool	m_steady_fluid_equation

bool	m_steady_magnetic_equation

double	m_viscosity

double	m_magnetic_diffusivity

double	m_U

double	m_B

Constructor & Destructor Documentation

◆ Kovasznay() [1/2]

Kovasznay::Kovasznay	(	const double &	viscosity,
		std::ostream &	output = `std::cout`
	)

Construct the class given the Reynolds number.

◆ Kovasznay() [2/2]

HArDCore2D::MHDSolutions::Kovasznay::Kovasznay	(	const double &	viscosity,
		std::ostream &	output = `std::cout`
	)

Construct the class given the Reynolds number.

Member Function Documentation

◆ compressibilityForcingTerm() [1/2]

double Kovasznay::compressibilityForcingTerm	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ compressibilityForcingTerm() [2/2]

double HArDCore2D::MHDSolutions::Kovasznay::compressibilityForcingTerm	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_field() [1/2]

Eigen::Vector2d Kovasznay::magnetic_field	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_field() [2/2]

Eigen::Vector2d HArDCore2D::MHDSolutions::Kovasznay::magnetic_field	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_fieldGradient() [1/2]

Eigen::Matrix2d Kovasznay::magnetic_fieldGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_fieldGradient() [2/2]

Eigen::Matrix2d HArDCore2D::MHDSolutions::Kovasznay::magnetic_fieldGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_pressure() [1/2]

double Kovasznay::magnetic_pressure	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_pressure() [2/2]

double HArDCore2D::MHDSolutions::Kovasznay::magnetic_pressure	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_pressureGradient() [1/2]

Eigen::Vector2d Kovasznay::magnetic_pressureGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magnetic_pressureGradient() [2/2]

Eigen::Vector2d HArDCore2D::MHDSolutions::Kovasznay::magnetic_pressureGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magneticForcingTerm() [1/2]

Eigen::Vector2d Kovasznay::magneticForcingTerm	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ magneticForcingTerm() [2/2]

Eigen::Vector2d HArDCore2D::MHDSolutions::Kovasznay::magneticForcingTerm	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ momentumForcingTerm() [1/2]

Eigen::Vector2d Kovasznay::momentumForcingTerm	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ momentumForcingTerm() [2/2]

Eigen::Vector2d HArDCore2D::MHDSolutions::Kovasznay::momentumForcingTerm	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ pressure() [1/2]

double Kovasznay::pressure	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ pressure() [2/2]

double HArDCore2D::MHDSolutions::Kovasznay::pressure	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ pressureGradient() [1/2]

Eigen::Vector2d Kovasznay::pressureGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ pressureGradient() [2/2]

Eigen::Vector2d HArDCore2D::MHDSolutions::Kovasznay::pressureGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ velocity() [1/2]

Eigen::Vector2d Kovasznay::velocity	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ velocity() [2/2]

Eigen::Vector2d HArDCore2D::MHDSolutions::Kovasznay::velocity	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ velocityGradient() [1/2]

Eigen::Matrix2d Kovasznay::velocityGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

◆ velocityGradient() [2/2]

Eigen::Matrix2d HArDCore2D::MHDSolutions::Kovasznay::velocityGradient	(	const Eigen::Vector2d &	x,
		const double &	t = `0`
	)		const

virtual

Implements HArDCore2D::MHDSolutions::IExactSolution.

Member Data Documentation

◆ domain_transformation

static Mesh2D::MeshBuilder::TransformationType HArDCore2D::MHDSolutions::Kovasznay::domain_transformation

inlinestatic

Initial value:

= [](const std::array<double, 2> & x) {
        return std::array<double, 2>{2. * x[0] - 0.5, 2. * x[1]};
      }

A function to transform the unit domain to \((-\frac12,\frac32)\times (0,2)\).

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

runs/hypre-MHD-uns/mhd-solutions.hpp
Schemes/HYPRE-MHD/mhd-solutions.hpp
runs/hypre-MHD-uns/mhd-solutions.cpp
Schemes/HYPRE-MHD/mhd-solutions.cpp

Public Member Functions

Static Public Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ Kovasznay() [1/2]

◆ Kovasznay() [2/2]

Member Function Documentation

◆ compressibilityForcingTerm() [1/2]

◆ compressibilityForcingTerm() [2/2]

◆ magnetic_field() [1/2]

◆ magnetic_field() [2/2]

◆ magnetic_fieldGradient() [1/2]

◆ magnetic_fieldGradient() [2/2]

◆ magnetic_pressure() [1/2]

◆ magnetic_pressure() [2/2]

◆ magnetic_pressureGradient() [1/2]

◆ magnetic_pressureGradient() [2/2]

◆ magneticForcingTerm() [1/2]

◆ magneticForcingTerm() [2/2]

◆ momentumForcingTerm() [1/2]

◆ momentumForcingTerm() [2/2]

◆ pressure() [1/2]

◆ pressure() [2/2]

◆ pressureGradient() [1/2]

◆ pressureGradient() [2/2]

◆ velocity() [1/2]

◆ velocity() [2/2]

◆ velocityGradient() [1/2]

◆ velocityGradient() [2/2]

Member Data Documentation

◆ domain_transformation