A 3d product space Geometry \( g_{2d} \otimes g_{1d}\). More...

Inheritance diagram for dg::aRealProductGeometry3d< real_type >:

Public Member Functions
aRealGeometry2d< real_type > *	perp_grid () const
	The grid made up by the first two dimensions. More...

virtual	~aRealProductGeometry3d ()=default
	allow deletion through base class pointer More...

virtual aRealProductGeometry3d *	clone () const =0
	Geometries are cloneable. More...

Public Member Functions inherited from dg::aRealGeometry3d< real_type >
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 aRealGeometry3d *	clone () const =0
	Geometries are cloneable. More...

virtual	~aRealGeometry3d ()=default
	allow deletion through base class pointer More...

Public Member Functions inherited from dg::aRealTopology3d< 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	z0 () const
	left boundary in z More...

real_type	z1 () const
	right boundary in z More...

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

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

real_type	lz () const
	length in z More...

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

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

real_type	hz () const
	cell size in z 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	nz () const
	number of polynomial coefficients in z More...

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

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

unsigned	Nz () const
	number of points in z More...

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

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

bc	bcz () const
	boundary conditions in z 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...

const DLT< real_type > &	dltz () const
	discrete legendre transformation in z More...

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

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

const RealGrid1d< real_type > &	gz () const
	The z-axis grid. 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, real_type &z) 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, real_type &z, bc bcx, bc bcy, bc bcz) const
	Shift any point coordinate to a corresponding grid coordinate according to the boundary condition. More...

bool	contains (real_type x, real_type y, real_type z) 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], x[2]) 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, unsigned new_Nz)
	Set the number of polynomials and cells. More...

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

Protected Member Functions
	aRealProductGeometry3d (const aRealProductGeometry3d &src)=default

aRealProductGeometry3d &	operator= (const aRealProductGeometry3d &src)=default

Protected Member Functions inherited from dg::aRealGeometry3d< real_type >
	aRealGeometry3d (const aRealGeometry3d &src)=default

aRealGeometry3d &	operator= (const aRealGeometry3d &src)=default

Protected Member Functions inherited from dg::aRealTopology3d< real_type >
	~aRealTopology3d ()=default
	disallow deletion through base class pointer More...

	aRealTopology3d (RealGrid1d< real_type > gx, RealGrid1d< real_type > gy, RealGrid1d< real_type > gz)
	Construct a 3d topology as the product of three 1d grids. More...

	aRealTopology3d (const aRealTopology3d &src)=default

aRealTopology3d &	operator= (const aRealTopology3d &src)=default

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

Additional Inherited Members
Public Types inherited from dg::aRealTopology3d< 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 = RealGrid3d< real_type >

Detailed Description

template<class real_type>
struct dg::aRealProductGeometry3d< real_type >

A 3d product space Geometry \( g_{2d} \otimes g_{1d}\).

This class represents a product space of a 2d grid (the "perp_grid") and a 1d grid (the "parallel_grid"). The special feature of the product space is that the metric is simply

\[ g = \begin{pmatrix} (g_{2d}(x,y)) & 0 \\ 0 & g_{1d}(x,y) \end{pmatrix} \]

That is the metric elements do not depend on the third coordinate.

Template Parameters

real_type The value type of the grid

Constructor & Destructor Documentation

◆ ~aRealProductGeometry3d()

template<class real_type >

virtual dg::aRealProductGeometry3d< real_type >::~aRealProductGeometry3d ( )

virtualdefault

allow deletion through base class pointer

◆ aRealProductGeometry3d()

template<class real_type >

dg::aRealProductGeometry3d< real_type >::aRealProductGeometry3d ( const aRealProductGeometry3d< real_type > & src )

protecteddefault

explicit copy constructor (default)

Parameters

src source

Member Function Documentation

◆ clone()

template<class real_type >

virtual aRealProductGeometry3d * dg::aRealProductGeometry3d< real_type >::clone ( ) const

pure virtual

Geometries are cloneable.

Implements dg::aRealGeometry3d< real_type >.

Implemented in dg::RealCartesianGrid3d< real_type >, and dg::RealCylindricalGrid3d< real_type >.

◆ operator=()

template<class real_type >

aRealProductGeometry3d & dg::aRealProductGeometry3d< real_type >::operator= ( const aRealProductGeometry3d< real_type > & src )

protecteddefault

explicit assignment operator (default)

Parameters

src source

◆ perp_grid()

template<class real_type >

aRealGeometry2d< real_type > * dg::aRealProductGeometry3d< real_type >::perp_grid ( ) const

inline

The grid made up by the first two dimensions.

This is possible because the 3d grid is a product grid of a 2d perpendicular grid and a 1d parallel grid

Returns: A newly constructed perpendicular grid

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

◆ ~aRealProductGeometry3d()

◆ aRealProductGeometry3d()

Member Function Documentation

◆ clone()

◆ operator=()

◆ perp_grid()