type_int_scheme Module Reference

Grid nodes Interpolation Schemes type The difference with the t_int_point_1D resides in that the scheme is defined in a narrowed band between index_start and index_end. The stencil is centered around the index 0, the step is relative to this node.

Data Types
type	t_int_scheme
	The interpolation scheme to derivate from It simply derivates from the fd_scheme. More...

Functions/Subroutines
subroutine	t_int_scheme_init (self)
	Initialize a 1D point interpolant.
subroutine	t_int_compute_stencil_generic (self, step, steps, derivative)
	Compute the stencil with a generic interpolation procedure.
pure double precision function	t_int_scheme_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.
double precision function	t_int_scheme_interpolate (self, step, steps, values, derivative)
	Interpolate at step with values. The steps and the values are given in interval 'index_start:index_end'.

Function/Subroutine Documentation

t_int_compute_stencil_generic()

subroutine type_int_scheme::t_int_compute_stencil_generic	(	class(t_int_scheme), intent(inout)	self,
		double precision, intent(in)	step,
		double precision, dimension(:), intent(in)	steps,
		integer, intent(in), optional	derivative )

Note

This can be overloaded by a deriving scheme with an optimized version

Parameters

[in,out]	self	the element
[in]	step	the step where to interpolate relatively to the reference node 0
[in]	steps	the steps between the node values (of size N-1)
[in]	derivative	*(optional)* the derivative number: 0 (default) for value interpolation, 1 for first derivative, etc.

dds is indexed over [points,derivative]

t_int_scheme_apply()

pure double precision function type_int_scheme::t_int_scheme_apply	(	class(t_int_scheme), intent(in)	self,
		double precision, dimension(:), intent(in)	values )

Parameters

[in]	self	the element
[in]	values	the values in the (virtual) interval 'index_start:index_end'

Precondition

the subroutine 'compute_stencil' have been previously called

t_int_scheme_init()

subroutine type_int_scheme::t_int_scheme_init

(

class(t_int_scheme), intent(inout)

self

)

Parameters

[in,out]

self

the element

t_int_scheme_interpolate()

double precision function type_int_scheme::t_int_scheme_interpolate	(	class(t_int_scheme), intent(inout)	self,
		double precision, intent(in)	step,
		double precision, dimension(:), intent(in)	steps,
		double precision, dimension(:), intent(in)	values,
		integer, intent(in), optional	derivative )

Parameters

[in,out]	self	the element
[in]	step	The + step from x(i).
[in]	steps	The spatial disc. steps of the intervals \( I_i \) where the values are defined
[in]	values	the values in the (virtual) interval 'index_start:index_end'
[in]	derivative	*(optional)* the derivative number: 0 (default) for value interpolation, 1 for first derivative, etc.