three-dimensional Grid with Cylindrical metric More...

Inheritance diagram for dg::RealCylindricalGrid3d< real_type >:

Public Types
using	perpendicular_grid = RealCartesianGrid2d< real_type >

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 >

Public Member Functions
	RealCylindricalGrid3d (real_type x0, real_type x1, real_type y0, real_type y1, real_type z0, real_type z1, unsigned n, unsigned Nx, unsigned Ny, unsigned Nz, bc bcx=PER, bc bcy=PER, bc bcz=PER)
	Equal polynomial coefficients. More...

	RealCylindricalGrid3d (RealGrid1d< real_type > gx, RealGrid1d< real_type > gy, RealGrid1d< real_type > gz)
	Construct a 3d topology as the product of three 1d grids. More...

virtual RealCylindricalGrid3d *	clone () const override final
	Geometries are cloneable. More...

Public Member Functions inherited from dg::aRealProductGeometry3d< real_type >
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...

Additional Inherited Members
Protected Member Functions inherited from dg::aRealProductGeometry3d< real_type >
	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

Detailed Description

template<class real_type>
struct dg::RealCylindricalGrid3d< real_type >

three-dimensional Grid with Cylindrical metric

Note: map() returns the identity, i.e. Cylindrical coordinates count as physical coordinates. Evaluate the dg::cooRZP2X() functions to transform to a Cartesian coordinate system.

Member Typedef Documentation

◆ perpendicular_grid

template<class real_type >

using dg::RealCylindricalGrid3d< real_type >::perpendicular_grid = RealCartesianGrid2d<real_type>

Constructor & Destructor Documentation

◆ RealCylindricalGrid3d() [1/2]

template<class real_type >

dg::RealCylindricalGrid3d< real_type >::RealCylindricalGrid3d	(	real_type	x0,
		real_type	x1,
		real_type	y0,
		real_type	y1,
		real_type	z0,
		real_type	z1,
		unsigned	n,
		unsigned	Nx,
		unsigned	Ny,
		unsigned	Nz,
		bc	bcx = `PER`,
		bc	bcy = `PER`,
		bc	bcz = `PER`
	)

inline

Equal polynomial coefficients.

Parameters

x0	left boundary in x
x1	right boundary in x
y0	lower boundary in y
y1	upper boundary in y
z0	lower boundary in z
z1	upper boundary in z
n	# of polynomial coefficients for x and y dimension ( z-direction is set to 1) (1<=n<=20)
Nx	# of points in x
Ny	# of points in y
Nz	# of points in z
bcx	boundary condition in x
bcy	boundary condition in y
bcz	boundary condition in z