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

Inheritance diagram for dg::aRealMPIGeometry2d< real_type >:

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

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

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

virtual aRealMPIGeometry2d *	clone () const =0
	Geometries are cloneable. More...

virtual aRealGeometry2d< real_type > *	global_geometry () const =0
	Construct the global non-MPI geometry. More...

virtual	~aRealMPIGeometry2d ()=default
	allow deletion through base class pointer More...

Public Member Functions inherited from dg::aRealMPITopology2d< real_type >
real_type	x0 () const
	Return global x0. More...

real_type	x1 () const
	Return global x1. More...

real_type	y0 () const
	Return global y0. More...

real_type	y1 () const
	Return global y1. More...

real_type	lx () const
	Return global lx. More...

real_type	ly () const
	Return global ly. More...

real_type	hx () const
	Return global hx. More...

real_type	hy () const
	Return global hy. More...

unsigned	n () const
	Return n. More...

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

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

unsigned	Nx () const
	Return the global number of cells. More...

unsigned	Ny () const
	Return the global number of cells. More...

bc	bcx () const
	global x boundary More...

bc	bcy () const
	global y boundary More...

MPI_Comm	communicator () const
	Return mpi cartesian communicator that is used in this grid. More...

const DLT< real_type > &	dltx () const
	discrete legendre transformation in x More...

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

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

unsigned	local_size () const
	The total local number of points. More...

void	display (std::ostream &os=std::cout) const
	Display global and local grid. More...

int	pidOf (real_type x, real_type y) const
	Returns the pid of the process that holds the local grid surrounding the given point. 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...

bool	local2globalIdx (int localIdx, int PID, int &globalIdx) const
	Map a local index plus the PID to a global vector index. More...

bool	global2localIdx (int globalIdx, int &localIdx, int &PID) const
	Map a global vector index to a local vector Index and the corresponding PID. More...

const RealGrid2d< real_type > &	local () const
	Return a non-MPI grid local for the calling process. More...

const RealGrid2d< real_type > &	global () const
	Return the global non-MPI grid. More...

Protected Member Functions
	aRealMPIGeometry2d (const aRealMPIGeometry2d &src)=default

aRealMPIGeometry2d &	operator= (const aRealMPIGeometry2d &src)=default

Protected Member Functions inherited from dg::aRealMPITopology2d< real_type >
	~aRealMPITopology2d ()=default
	disallow deletion through base class pointer More...

	aRealMPITopology2d (RealGrid1d< real_type > gx, RealGrid1d< real_type > gy, MPI_Comm comm)
	Construct a 2d grid as the product of two 1d grids. More...

	aRealMPITopology2d (const aRealMPITopology2d &src)=default

aRealMPITopology2d &	operator= (const aRealMPITopology2d &src)=default

virtual void	do_set (unsigned new_nx, unsigned new_Nx, unsigned new_ny, unsigned new_Ny)=0
	This function has an implementation. More...

Additional Inherited Members
Public Types inherited from dg::aRealMPITopology2d< real_type >
using	value_type = real_type

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

using	host_grid = RealMPIGrid2d< real_type >

Detailed Description

template<class real_type>
struct dg::aRealMPIGeometry2d< real_type >

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

Constructor & Destructor Documentation

◆ ~aRealMPIGeometry2d()

template<class real_type >

virtual dg::aRealMPIGeometry2d< real_type >::~aRealMPIGeometry2d ( )

virtualdefault

allow deletion through base class pointer

◆ aRealMPIGeometry2d()

template<class real_type >

dg::aRealMPIGeometry2d< real_type >::aRealMPIGeometry2d ( const aRealMPIGeometry2d< real_type > & src )

protecteddefault

explicit copy constructor (default)

Parameters

src source

Member Function Documentation

◆ clone()

template<class real_type >

virtual aRealMPIGeometry2d * dg::aRealMPIGeometry2d< real_type >::clone ( ) const

pure virtual

Geometries are cloneable.

Implemented in dg::RealCartesianMPIGrid2d< real_type >.

◆ global_geometry()

template<class real_type >

virtual aRealGeometry2d< real_type > * dg::aRealMPIGeometry2d< real_type >::global_geometry ( ) const

pure virtual

Construct the global non-MPI geometry.

Implemented in dg::RealCartesianMPIGrid2d< real_type >.

◆ jacobian()

template<class real_type >

SparseTensor< MPI_Vector< thrust::host_vector< real_type > > > dg::aRealMPIGeometry2d< 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< MPI_Vector< thrust::host_vector< real_type > > > dg::aRealMPIGeometry2d< 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< MPI_Vector< thrust::host_vector< real_type > > > dg::aRealMPIGeometry2d< 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 >

aRealMPIGeometry2d & dg::aRealMPIGeometry2d< real_type >::operator= ( const aRealMPIGeometry2d< real_type > & src )

protecteddefault

explicit assignment operator (default)

Parameters

src source

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

topology/mpi_base.h

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ~aRealMPIGeometry2d()

◆ aRealMPIGeometry2d()

Member Function Documentation

◆ clone()

◆ global_geometry()

◆ jacobian()

◆ map()

◆ metric()

◆ operator=()