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::aRealTopology< real_type, 3 >
using	value_type
	value type of abscissas and weights

using	host_vector

using	host_grid
	Associated realisation.

Public Member Functions
	RealCylindricalGrid3d ()=default

	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)
	Construct with equal polynomial coefficients.

	RealCylindricalGrid3d (RealGrid1d< real_type > gx, RealGrid1d< real_type > gy, RealGrid1d< real_type > gz)
	Construct from given 1d grids.

virtual RealCylindricalGrid3d *	clone () const override final
	Enable ClonePtr.

Public Member Functions inherited from dg::aRealProductGeometry3d< real_type >
aRealGeometry2d< real_type > *	perp_grid () const
	The grid made up by the first two dimensions.

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

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.

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

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

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

Public Member Functions inherited from dg::aRealTopology< real_type, 3 >
unsigned	shape (unsigned u=0) const
	\( n_u N_u\) the total number of points of an axis

host_vector	abscissas (unsigned u=0) const
	Construct grid abscissas of the `u` axis.

host_vector	weights (unsigned u=0) const
	Get the weights of the `u` axis.

std::array< unsigned, Nd >	get_shape () const
	\( n_u N_u\) the total number of points of an axis

std::array< host_vector, Nd >	get_abscissas () const
	Construct abscissas for all axes.

std::array< host_vector, Nd >	get_weights () const
	Construct weights for all axes.

std::array< real_type, Nd >	get_p () const
	Get left boundary point \( \vec p\).

std::array< real_type, Nd >	get_q () const
	Get right boundary point \( \vec q\).

std::array< real_type, Nd >	get_l () const
	Get grid length \( l_u = q_u - p_u\) for all axes.

std::array< real_type, Nd >	get_h () const
	Get grid constant \( h_u = \frac{q_u - p_u}{N_u}\) for all axes.

std::array< unsigned, Nd >	get_N () const
	Get number of cells \( N_u\) for all axes.

std::array< unsigned, Nd >	get_n () const
	Get number of polynomial coefficients \( n_u\) for all axes.

std::array< dg::bc, Nd >	get_bc () const
	Get boundary condition \( b_u\) for all axes.

real_type	p (unsigned u=0) const
	Get left boundary point \( p_u\) for axis `u`.

real_type	q (unsigned u=0) const
	Get right boundary point \( q_u\) for axis `u`.

real_type	h (unsigned u=0) const
	Get grid constant \( h_u = \frac{q_u - p_u}{N_u}\) for axis `u`.

real_type	l (unsigned u=0) const
	Get grid length \( l_u = q_u - p_u\) for axis `u`.

unsigned	n (unsigned u=0) const
	Get number of polynomial coefficients \( n_u\) for axis `u`.

unsigned	N (unsigned u=0) const
	Get number of cells \( N_u\) for axis `u`.

dg::bc	bc (unsigned u=0) const
	Get boundary condition \( b_u\) for axis `u`.

RealGrid< real_type, 1 >	grid (unsigned u) const
	Get axis `u` as a 1d grid.

RealGrid< real_type, 1 >	axis (unsigned u) const
	An alias for "grid".

real_type	x0 () const
	Equivalent to `p(0)`

real_type	x1 () const
	Equivalent to `p(1)`

real_type	y0 () const
	Equivalent to `p(2)`

real_type	y1 () const
	Equivalent to `q(0)`

real_type	z0 () const
	Equivalent to `q(1)`

real_type	z1 () const
	Equivalent to `q(2)`

real_type	lx () const
	Equivalent to `l(0)`

real_type	ly () const
	Equivalent to `l(1)`

real_type	lz () const
	Equivalent to `l(2)`

real_type	hx () const
	Equivalent to `h(0)`

real_type	hy () const
	Equivalent to `h(1)`

real_type	hz () const
	Equivalent to `h(2)`

unsigned	nx () const
	Equivalent to `n(0)`

unsigned	ny () const
	Equivalent to `n(1)`

unsigned	nz () const
	Equivalent to `n(2)`

unsigned	Nx () const
	Equivalent to `N(0)`

unsigned	Ny () const
	Equivalent to `N(1)`

unsigned	Nz () const
	Equivalent to `N(2)`

dg::bc	bcx () const
	Equivalent to `bc(0)`

dg::bc	bcy () const
	Equivalent to `bc(1)`

dg::bc	bcz () const
	Equivalent to `bc(2)`

RealGrid< real_type, 1 >	gx () const
	Equivalent to `grid(0)`

RealGrid< real_type, 1 >	gy () const
	Equivalent to `grid(1)`

RealGrid< real_type, 1 >	gz () const
	Equivalent to `grid(2)`

std::array< unsigned, Nd >	start () const
	Start coordinate in C-order for `dg::file::NcHyperslab`.

std::array< unsigned, Nd >	count () const
	Count vector in C-order for `dg::file::NcHyperslab`.

std::enable_if_t<(Md >=2), void >	multiplyCellNumbers (real_type fx, real_type fy)
	Multiply the number of cells in the first two dimensions with a given factor.

std::enable_if_t<(Md==1), void >	set (unsigned new_n, unsigned new_Nx)
	Set n and N in a 1-dimensional grid.

std::enable_if_t<(Md==2), void >	set (unsigned new_n, unsigned new_Nx, unsigned new_Ny)
	Set n and N in a 2-dimensional grid.

std::enable_if_t<(Md==3), void >	set (unsigned new_n, unsigned new_Nx, unsigned new_Ny, unsigned new_Nz)
	Set n and N in a 3-dimensional grid.

void	set (unsigned new_n, std::array< unsigned, Nd > new_N)
	Same as `set( {new_n, new_n,...}, new_N);`

void	set (std::array< unsigned, Nd > new_n, std::array< unsigned, Nd > new_N)
	Set the number of polynomials and cells.

void	set (std::array< real_type, Nd > new_p, std::array< real_type, Nd > new_q, std::array< unsigned, Nd > new_n, std::array< unsigned, Nd > new_N, std::array< dg::bc, Nd > new_bcs)
	Reset the entire grid.

void	set_axis (unsigned coord, unsigned new_n, unsigned new_N)
	Set n and N for axis `coord`.

void	set_pq (std::array< real_type, Nd > new_p, std::array< real_type, Nd > new_q)
	Reset the boundaries of the grid.

void	set_bcs (std::array< dg::bc, Nd > new_bcs)
	Reset the boundary conditions of the grid.

unsigned	size () const
	The total number of points.

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

std::enable_if_t<(Md==1), bool >	contains (real_type x) const
	Check if the grid contains a point.

bool	contains (const Vector &x) const
	Check if the grid contains a point.

Additional Inherited Members
Static Public Member Functions inherited from dg::aRealTopology< real_type, 3 >
static constexpr unsigned	ndim ()
	Dimensionality == Nd.

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::aRealTopology< real_type, 3 >
	~aRealTopology ()=default
	disallow deletion through base class pointer

	aRealTopology ()=default
	default constructor

	aRealTopology (std::array< real_type, Nd > p, std::array< real_type, Nd > q, std::array< unsigned, Nd > n, std::array< unsigned, Nd > N, std::array< dg::bc, Nd > bcs)
	Construct a topology directly from points and dimensions.

	aRealTopology (const std::array< RealGrid< real_type, 1 >, Nd > &axes)
	Construct a topology as the product of 1d axes grids.

	aRealTopology (const aRealTopology &src)=default

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

virtual void	do_set (std::array< unsigned, Nd > new_n, std::array< unsigned, Nd > new_N)=0
	Set the number of polynomials and cells.

virtual void	do_set (std::array< dg::bc, Nd > new_bcs)=0
	Reset the boundary conditions of the grid.

virtual void	do_set_pq (std::array< real_type, Nd > new_p, std::array< real_type, Nd > new_q)=0
	Reset the boundaries of the grid.

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() [1/3]

template<class real_type >

dg::RealCylindricalGrid3d< real_type >::RealCylindricalGrid3d ( )

default

◆ RealCylindricalGrid3d() [2/3]

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

Construct with 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

Parameters

bcx	boundary condition in x
bcy	boundary condition in y
bcz	boundary condition in z

Note: x corresponds to R, y to Z and z to phi, the volume element is R

◆ RealCylindricalGrid3d() [3/3]

template<class real_type >

dg::RealCylindricalGrid3d< real_type >::RealCylindricalGrid3d	(	RealGrid1d< real_type >	gx,
		RealGrid1d< real_type >	gy,
		RealGrid1d< real_type >	gz )

inline

Construct from given 1d grids.

Parameters

gx	Axis 0 grid ->R
gy	Axis 1 grid ->Z
gz	Axis 2 grid ->P

Member Function Documentation

◆ clone()

template<class real_type >

virtual RealCylindricalGrid3d * dg::RealCylindricalGrid3d< real_type >::clone ( ) const

inlinefinaloverridevirtual

Enable ClonePtr.

Implements dg::aRealProductGeometry3d< real_type >.

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

topology/base_geometry.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ perpendicular_grid

Constructor & Destructor Documentation

◆ RealCylindricalGrid3d() [1/3]

◆ RealCylindricalGrid3d() [2/3]

◆ RealCylindricalGrid3d() [3/3]

Member Function Documentation

◆ clone()