This is the abstract interface class for a two-dimensional Geometry. More...

Inheritance diagram for dg::aRealGeometry2d< real_type >:

Public Member Functions
SparseTensor< thrust::host_vector< real_type > >	jacobian () const
	The Jacobian of the coordinate transformation from physical to computational space. More...

SparseTensor< thrust::host_vector< real_type > >	metric () const
	The (inverse) metric tensor of the coordinate system. More...

std::vector< thrust::host_vector< real_type > >	map () const
	The coordinate map from computational to physical space. More...

virtual aRealGeometry2d *	clone () const =0
	Geometries are cloneable. More...

virtual	~aRealGeometry2d ()=default
	allow deletion through base class pointer More...

Public Member Functions inherited from dg::aRealTopology2d< real_type >
real_type	x0 () const
	Left boundary in x. More...

real_type	x1 () const
	Right boundary in x. More...

real_type	y0 () const
	left boundary in y More...

real_type	y1 () const
	Right boundary in y. More...

real_type	lx () const
	length of x More...

real_type	ly () const
	length of y More...

real_type	hx () const
	cell size in x More...

real_type	hy () const
	cell size in y More...

unsigned	n () const
	number of polynomial coefficients in x More...

unsigned	nx () const
	number of polynomial coefficients in x More...

unsigned	ny () const
	number of polynomial coefficients in y More...

unsigned	Nx () const
	number of cells in x More...

unsigned	Ny () const
	number of cells in y More...

bc	bcx () const
	boundary conditions in x More...

bc	bcy () const
	boundary conditions in y More...

const DLT< real_type > &	dltx () const
	discrete legendre trafo More...

const DLT< real_type > &	dlty () const
	discrete legendre transformation in y More...

const RealGrid1d< real_type > &	gx () const
	The x-axis grid. More...

const RealGrid1d< real_type > &	gy () const
	The y-axis grid. More...

void	multiplyCellNumbers (real_type fx, real_type fy)
	Multiply the number of cells with a given factor. More...

void	set (unsigned new_n, unsigned new_Nx, unsigned new_Ny)
	Set the number of polynomials and cells. More...

void	set (unsigned new_nx, unsigned new_Nx, unsigned new_ny, unsigned new_Ny)
	Set the number of polynomials and cells. More...

unsigned	size () const
	The total number of points. More...

void	display (std::ostream &os=std::cout) const
	Display. More...

void	shift (bool &negative, real_type &x, real_type &y) const
	Shift any point coordinate to a corresponding grid coordinate according to the boundary condition. More...

void	shift (bool &negative, real_type &x, real_type &y, bc bcx, bc bcy) const
	Shift any point coordinate to a corresponding grid coordinate according to the boundary condition. More...

bool	contains (real_type x, real_type y) const
	Check if the grid contains a point. More...

template<class Vector >
bool	contains (const Vector &x) const
	Shortcut for contains( x[0], x[1]) More...

Protected Member Functions
	aRealGeometry2d (const aRealGeometry2d &src)=default

aRealGeometry2d &	operator= (const aRealGeometry2d &src)=default

Protected Member Functions inherited from dg::aRealTopology2d< real_type >
	~aRealTopology2d ()=default
	disallow destruction through base class pointer More...

	aRealTopology2d (RealGrid1d< real_type > gx, RealGrid1d< real_type > gy)
	Construct a 2d grid as the product of two 1d grids. More...

	aRealTopology2d (const aRealTopology2d &src)=default

aRealTopology2d &	operator= (const aRealTopology2d &src)=default

virtual void	do_set (unsigned new_nx, unsigned new_Nx, unsigned new_ny, unsigned new_Ny)=0

Additional Inherited Members
Public Types inherited from dg::aRealTopology2d< real_type >
using	value_type = real_type

using	host_vector = thrust::host_vector< real_type >
	The host vector type used by host functions like evaluate. More...

using	host_grid = RealGrid2d< real_type >

Detailed Description

template<class real_type>
struct dg::aRealGeometry2d< real_type >

This is the abstract interface class for a two-dimensional Geometry.

Constructor & Destructor Documentation

◆ ~aRealGeometry2d()

template<class real_type >

virtual dg::aRealGeometry2d< real_type >::~aRealGeometry2d ( )

virtualdefault

allow deletion through base class pointer

◆ aRealGeometry2d()

template<class real_type >

dg::aRealGeometry2d< real_type >::aRealGeometry2d ( const aRealGeometry2d< real_type > & src )

protecteddefault

explicit copy constructor (default)

Parameters

src source

Member Function Documentation

◆ clone()

template<class real_type >

virtual aRealGeometry2d * dg::aRealGeometry2d< real_type >::clone ( ) const

pure virtual

Geometries are cloneable.

Implemented in dg::RealCartesianRefinedGrid2d< real_type >, and dg::RealCartesianGrid2d< real_type >.

◆ jacobian()

template<class real_type >

SparseTensor< thrust::host_vector< real_type > > dg::aRealGeometry2d< real_type >::jacobian ( ) const

inline

The Jacobian of the coordinate transformation from physical to computational space.

The elements of the Tensor are (if x,y are the coordinates in computational space and R,Z are the physical space coordinates)

\[ J = \begin{pmatrix} x_R(x,y) & x_Z(x,y) \\ y_R(x,y) & y_Z(x,y) \end{pmatrix} \]

Returns: Jacobian

Note: per default this will be the identity tensor

◆ map()

template<class real_type >

std::vector< thrust::host_vector< real_type > > dg::aRealGeometry2d< real_type >::map ( ) const

inline

The coordinate map from computational to physical space.

The elements of the map are (if x,y are the coordinates in computational space and R,Z are the physical space coordinates)

\[ R(x,y) \\ Z(x,y) \]

Returns: a vector of size 2

Note: per default this will be the identity map

◆ metric()

template<class real_type >

SparseTensor< thrust::host_vector< real_type > > dg::aRealGeometry2d< real_type >::metric ( ) const

inline

The (inverse) metric tensor of the coordinate system.

The elements of the inverse metric tensor are the contravariant elements of the metric \(g\). If x,y are the coordinates, then

\[ g^{-1} = \begin{pmatrix} g^{xx}(x,y) & g^{xy}(x,y) \\ & g^{yy}(x,y) \end{pmatrix} \]

Returns: symmetric tensor

Note: use the dg::tensor::volume2d function to compute the volume element from here; per default this will be the identity tensor

◆ operator=()

template<class real_type >

aRealGeometry2d & dg::aRealGeometry2d< real_type >::operator= ( const aRealGeometry2d< real_type > & src )

protecteddefault

explicit assignment operator (default)

Parameters

src source

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

topology/base_geometry.h

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~aRealGeometry2d()

◆ aRealGeometry2d()

Member Function Documentation

◆ clone()

◆ jacobian()

◆ map()

◆ metric()

◆ operator=()