type_int_point_weno_3d Module Reference

The type for generic point WENO interpolation (3D) that has to be derived. More...

Data Types
type	t_int_point_weno_3d

Functions/Subroutines
subroutine	int_point_weno_3d_construct (self, index_start, index_end, nstencils, spatial_dimension)
	Initialize a 2D point interpolant.
double precision function	int_point_weno_3d_apply (self, values)
subroutine	int_point_weno_3d_compute_stencil (self, coordinates_x, coordinates_y, coordinates_z, derivatives, cv_x, cv_y, cv_z)
double precision function	int_point_weno_3d_interpolate (self, x, coordinates_x, coordinates_y, coordinates_z, values, derivatives, cv_x, cv_y, cv_z)
	Directly compute the interpolation at the given position. The result is the interpolation value.
subroutine	int_point_weno_3d_compute_smoothness_indicators (self, x, steps, coordinates, values, nstencils, res)
	Compute the SI for all the stencils.
class(t_int_point_3d) function, pointer	select_lagrange_interpolant_3d (npoints)

Detailed Description

The type for generic point WENO interpolation (3D) that has to be derived.

Function/Subroutine Documentation

int_point_weno_3d_apply()

double precision function type_int_point_weno_3d::int_point_weno_3d_apply	(	class(t_int_point_weno_3d), intent(in)	self,
		double precision, dimension(:,:,:), intent(in)	values )

int_point_weno_3d_compute_smoothness_indicators()

subroutine type_int_point_weno_3d::int_point_weno_3d_compute_smoothness_indicators	(	class(t_int_point_weno_3d), intent(in)	self,
		double precision, dimension(:), intent(in)	x,
		double precision, dimension(:,:), intent(in)	steps,
		double precision, dimension(:,:), intent(in)	coordinates,
		double precision, dimension(:,:,:), intent(in)	values,
		integer, dimension(3), intent(in)	nstencils,
		double precision, dimension(:,:,:), intent(inout)	res )

Compute the SI for all the stencils.

Parameters

[in]	self	the element
[in]	x	the distances (with unit spacing) to the first point of the stencil; index: (ndims)
[in]	steps	the steps between nodes; index: (npoints-1,ndims)
[in]	coordinates	the nodes coordinates (with unit spacing); index: (npoints,ndims)
[in]	values	the values of the field; index: (npoints,npoints,npoints)
[in]	nstencils	the number of stencils in each dimension; index: (3)
[out]	res	the resulting smoothness_indicator array associated to the stencils; index: (si,sj,sk)

int_point_weno_3d_compute_stencil()

subroutine type_int_point_weno_3d::int_point_weno_3d_compute_stencil	(	class(t_int_point_weno_3d), intent(inout)	self,
		double precision, dimension(:), intent(in)	coordinates_x,
		double precision, dimension(:), intent(in)	coordinates_y,
		double precision, dimension(:), intent(in)	coordinates_z,
		integer, dimension(:), intent(in), optional	derivatives,
		double precision, dimension(:), intent(in), optional	cv_x,
		double precision, dimension(:), intent(in), optional	cv_y,
		double precision, dimension(:), intent(in), optional	cv_z )

int_point_weno_3d_construct()

subroutine type_int_point_weno_3d::int_point_weno_3d_construct	(	class(t_int_point_weno_3d), intent(inout)	self,
		integer, intent(in)	index_start,
		integer, intent(in)	index_end,
		integer, intent(in)	nstencils,
		integer, intent(in)	spatial_dimension )

Initialize a 2D point interpolant.

int_point_weno_3d_interpolate()

double precision function type_int_point_weno_3d::int_point_weno_3d_interpolate	(	class(t_int_point_weno_3d), intent(inout)	self,
		double precision, dimension(3), intent(in)	x,
		double precision, dimension(:), intent(in)	coordinates_x,
		double precision, dimension(:), intent(in)	coordinates_y,
		double precision, dimension(:), intent(in)	coordinates_z,
		double precision, dimension(:,:,:), intent(in)	values,
		integer, dimension(:), intent(in), optional	derivatives,
		double precision, dimension(:), intent(in), optional	cv_x,
		double precision, dimension(:), intent(in), optional	cv_y,
		double precision, dimension(:), intent(in), optional	cv_z )

Directly compute the interpolation at the given position. The result is the interpolation value.

Parameters

[in,out]	self	the element
[in]	X	the 3D position where to interpolate (should reside in coordinates_{x,y,z})
[in]	values	the values in the interval '1:nx,1:ny,1:nz'
[in]	coordinates_x	the x coordinates of the center of the control volumes; in '1:nx'
[in]	coordinates_y	the y coordinates of the center of the control volumes; in '1:ny'
[in]	coordinates_z	the z coordinates of the center of the control volumes; in '1:nz'
[in]	derivatives	(optional) the derivatives number: 0 (default) for value interpolation, 1 for first derivative, etc.
[in]	cv_x	the width of the control volumes in the x direction
[in]	cv_y	the width of the control volumes in the y direction
[in]	cv_z	the width of the control volumes in the y direction

Todo

MCO: deal with reconstruction schemes for 3D

select_lagrange_interpolant_3d()

class(t_int_point_3d) function, pointer type_int_point_weno_3d::select_lagrange_interpolant_3d

(

integer, intent(in)

npoints

)