type_int_point_weno_1d Module Reference

The type for generic point WENO interpolation (1D) that has to be derived. More...

Data Types
interface	int_point_weno_1d_compute_coefficients
	Abstract interfaces. More...

Functions/Subroutines
subroutine	int_point_weno_1d_construct (self, index_start, index_end, nstencils)
	Initialize a 1D point interpolant.
double precision function	int_point_weno_1d_apply (self, values)
	Apply the stencil of the interpolant after it has been placed, given the array of discrete node values. The result is the interpolation.
subroutine	int_point_weno_1d_compute_stencil (self, coordinates, derivative, control_volumes)
double precision function	int_point_weno_1d_interpolate (self, x, coordinates, values, derivative, control_volumes)
	Directly compute the interpolation at the given position. The result is the interpolation value.
double precision function	int_point_weno_1d_interpolate_d1 (self, x, coordinates, values)
	Directly compute the interpolation's derivative at the given position. The result is the interpolation value of the derivative.
subroutine	int_point_weno_1d_compute_smoothness_indicators (self, x, coordinates, derivatives, res)
	Compute the SI for all the stencils.

Detailed Description

The type for generic point WENO interpolation (1D) that has to be derived.

Function/Subroutine Documentation

int_point_weno_1d_apply()

double precision function type_int_point_weno_1d::int_point_weno_1d_apply	(	class(t_int_point_weno_1d), intent(in)	self,
		double precision, dimension(:), intent(in)	values )

Apply the stencil of the interpolant after it has been placed, given the array of discrete node values. The result is the interpolation.

Parameters

[in]	self	the element
[in]	values	the values in the interval '1:nx'

Precondition

- the subroutine 'place' has been previously called

- the subroutine 'compute_stencil' have been previously called

int_point_weno_1d_compute_smoothness_indicators()

subroutine type_int_point_weno_1d::int_point_weno_1d_compute_smoothness_indicators	(	class(t_int_point_weno_1d), intent(in)	self,
		double precision, intent(in)	x,
		double precision, dimension(:), intent(in)	coordinates,
		double precision, dimension(:,:), intent(in)	derivatives,
		double precision, dimension(:), intent(inout)	res )

Compute the SI for all the stencils.

Parameters

[in]	self	the element
[in]	x	the distance (with unit spacing) to the first point of the stencil
[in]	coordinates	the nodes coordinates (with unit spacing)
[in]	derivatives	the derivatives array (first index is the i^th stencil)
[out]	res	the resulting smoothness_indicator array associated to the stencils

int_point_weno_1d_interpolate()

double precision function type_int_point_weno_1d::int_point_weno_1d_interpolate	(	class(t_int_point_weno_1d), intent(inout)	self,
		double precision, intent(in)	x,
		double precision, dimension(:), intent(in)	coordinates,
		double precision, dimension(:), intent(in)	values,
		integer, intent(in), optional	derivative,
		double precision, dimension(:), intent(in), optional	control_volumes )

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

Parameters

[in,out]	self	the element
[in]	X	the 1D position where to interpolate (should reside in coordinates)
[in]	values	the values in the interval '1:nx'
[in]	coordinates	the coordinates of the center of the control volumes
[in]	derivative	(optional) the derivative number: 0 (default) for value interpolation, 1 for first derivative, etc.
[in]	control_volumes	the width of the control volumes

int_point_weno_1d_interpolate_d1()

double precision function type_int_point_weno_1d::int_point_weno_1d_interpolate_d1	(	class(t_int_point_weno_1d), intent(inout)	self,
		double precision, intent(in)	x,
		double precision, dimension(:), intent(in)	coordinates,
		double precision, dimension(:), intent(in)	values )

Directly compute the interpolation's derivative at the given position. The result is the interpolation value of the derivative.

Parameters

[in]	self	the element
[in]	X	the position where to interpolate
[in]	values	the values in the interval '1:nx'
[in]	coordinates	the coordinates of the center of the control volumes