mod_interpolation_computer Module Reference

Computer for evaluating Interpolation Schemes. More...

Functions/Subroutines
double precision function	int_weno_compute_from_values (scheme, int_step, steps, values)
	Compute the WENO interpolation via the scheme by giving the associated field values.
double precision function	int_compute_from_values (scheme, int_step, steps, values)
	Compute the interpolation via the scheme by giving the associated field values.
double precision function	int_compute_from_array (scheme, int_step, step_array, array, index)
	Compute the interpolation via the scheme by giving the associated array, the step array (see below), the (reference) index where to compute the interpolation.
double precision function	int_weno_compute_from_array (scheme, int_step, step_array, array, index, fv)
	Compute the interpolation via the scheme by giving the associated array, the step array (see below), the index where to compute the FD.
double precision function	int_weno_compute_from_field (scheme, int_step, x_step_array, y_step_array, z_step_array, field, i, j, k, axis, fv)
	Compute the WENO interpolation via the scheme by giving the associated field, the step arrays for each dimension, the indices (position) and the direction (x,y or z).
double precision function	int_compute_from_field (scheme, int_step, x_step_array, y_step_array, z_step_array, field, i, j, k, axis, fv)
	Compute the interpolation via the scheme by giving the associated field, the step arrays for each dimension, the indices (position) and the direction (x,y or z).
double precision function	int_compute_from_field_shift (scheme, int_step, x_step_array, y_step_array, z_step_array, field, i, j, k, axis, fv, shift)
	Compute the interpolation via the scheme by giving the associated field, the step arrays for each dimension, the indices (position) and the direction (x,y or z). Apply a shift to the *_step_array (useful when the steps' indices are not aligned with the field's indices).
double precision function	int_weno_compute_point_from_field (scheme, x_pos_array, y_pos_array, z_pos_array, x_step_array, y_step_array, z_step_array, field, x, y, z, fv)
	Compute the WENO cross interpolation via the scheme by giving the associated field, the step arrays for each dimension, the position and the direction (x,y or z).
double precision function	int_weno_dcompute_point_from_field (schemed, scheme, x_pos_array, y_pos_array, z_pos_array, x_step_array, y_step_array, z_step_array, field, x, y, z, axis, fv)
	Compute the WENO cross interpolation of the derivative via the scheme by giving the associated field, the step arrays for each dimension, the position and the direction (x,y or z).
double precision function	rec_compute_from_field (scheme, step, x_cv_array, y_cv_array, z_cv_array, field, i, j, k, axis)
	Compute the reconstruction via the scheme by giving the associated field, the step arrays for each dimension, the indices (position) and the direction (x,y or z).
integer function	compute_nearest_point_index (nx, x_pos, x)

Detailed Description

All the methods defined here are used to effectively compute/evaluate interpolation at grid nodes.

Function/Subroutine Documentation

int_compute_from_field()

double precision function mod_interpolation_computer::int_compute_from_field	(	class(t_int_scheme)	scheme,
		double precision, intent(in)	int_step,
		double precision, dimension(:), intent(in)	x_step_array,
		double precision, dimension(:), intent(in)	y_step_array,
		double precision, dimension(:), intent(in)	z_step_array,
		double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k,
		integer, intent(in)	axis,
		integer, intent(in)	fv )

Parameters

[in]	scheme	the interpolation scheme
[in]	int_step	the distance (from the reference node) where to interpolate
[in]	x_step_array	the discretization step array in the x direction (see "from_array" for specificity of FV method)
[in]	y_step_array	the discretization step array in the y direction
[in]	z_step_array	the discretization step array in the z direction
[in]	field	the field \(\phi(i,j,k)\) to which apply the scheme at the given indices.
[in]	i,j,k	the indices where to compute the interpolation
[in]	axis	the axis (direction) \(axis={1,2,3}\) for \({x,y,z}\)
[in]	FV	\({0,1}\) is 0 for Point and 1 for Reconstruction

Returns

the value of the scheme evaluated with the input values

Warning

This function is not the most efficient, especialy when used in a i,j,k loop, because it switches for each direction!

int_compute_from_field_shift()

double precision function mod_interpolation_computer::int_compute_from_field_shift	(	class(t_int_scheme)	scheme,
		double precision, intent(in)	int_step,
		double precision, dimension(:), intent(in)	x_step_array,
		double precision, dimension(:), intent(in)	y_step_array,
		double precision, dimension(:), intent(in)	z_step_array,
		double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k,
		integer, intent(in)	axis,
		integer, intent(in)	fv,
		integer, intent(in)	shift )

Parameters

[in]	scheme	the interpolation scheme
[in]	int_step	the distance (from the reference node) where to interpolate
[in]	x_step_array	the discretization step array in the x direction (see "from_array" for specificity of FV method)
[in]	y_step_array	the discretization step array in the y direction
[in]	z_step_array	the discretization step array in the z direction
[in]	field	the field \(\phi(i,j,k)\) to which apply the scheme at the given indices.
[in]	i,j,k	the indices where to compute the interpolation
[in]	axis	the axis (direction) \(axis={1,2,3}\) for \({x,y,z}\)
[in]	FV	\({0,1}\) is 0 for Point and 1 for Reconstruction
[in]	shift	The shift for the steps array

Returns

the value of the scheme evaluated with the input values

Warning

This function is not the most efficient, especialy when used in a i,j,k loop, because it switches for each direction!

int_compute_from_values()

double precision function mod_interpolation_computer::int_compute_from_values	(	class(t_int_scheme)	scheme,
		double precision, intent(in)	int_step,
		double precision, dimension(:), intent(in)	steps,
		double precision, dimension(:), intent(in)	values )

Parameters

[in]	scheme	the interpolation scheme
[in]	int_step	the distance (from the reference node) where to interpolate
[in]	steps	the discretization steps, with size(steps)==size(values)-1
[in]	values	the field values to which to apply the scheme. They must be of the same dimension as the scheme

Returns

the value of the scheme evaluated with the input values

int_weno_compute_from_array()

double precision function mod_interpolation_computer::int_weno_compute_from_array	(	class(t_int_weno_scheme)	scheme,
		double precision, intent(in)	int_step,
		double precision, dimension(:), intent(in)	step_array,
		double precision, dimension(:), intent(in)	array,
		integer, intent(in)	index,
		integer, intent(in)	fv )

Parameters

[in]	scheme	the interpolation scheme
[in]	int_step	the distance (from the reference node) where to interpolate
[in]	step_array	the discretization step array where (if FV=0) step_array(i) is the step between array(i) and array(i+1) (or if FV=1) step_array(i) is the size of the \(i^th\) interval
[in]	array	the array \(\phi(i)\) to which apply the scheme at the given indices.
[in]	index	the index where to compute the FD
[in]	FV	\({0,1}\) is 0 for Finite Differences and 1 for Finite Volumes

Returns

the value of the scheme evaluated with the input values

Todo

MCO derivate from ext_scheme would be better

int_weno_compute_from_field()

double precision function mod_interpolation_computer::int_weno_compute_from_field	(	class(t_int_weno_scheme)	scheme,
		double precision, intent(in)	int_step,
		double precision, dimension(:), intent(in)	x_step_array,
		double precision, dimension(:), intent(in)	y_step_array,
		double precision, dimension(:), intent(in)	z_step_array,
		double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k,
		integer, intent(in)	axis,
		integer, intent(in)	fv )

Parameters

[in]	scheme	the interpolation scheme
[in]	int_step	the distance (from the reference node) where to interpolate
[in]	x_step_array	the discretization step array in the x direction (see "from_array" for specificity of FV method)
[in]	y_step_array	the discretization step array in the y direction
[in]	z_step_array	the discretization step array in the z direction
[in]	field	the field \(\phi(i,j,k)\) to which apply the scheme at the given indices.
[in]	i,j,k	the indices where to compute the interpolation
[in]	axis	the axis (direction) \(axis={1,2,3}\) for \({x,y,z}\)
[in]	FV	\({0,1}\) is 0 for Point and 1 for Reconstruction

Returns

the value of the scheme evaluated with the input values

Warning

This function is not the most efficient, especialy when used in a i,j,k loop, because it switches for each direction!

int_weno_compute_from_values()

double precision function mod_interpolation_computer::int_weno_compute_from_values	(	class(t_int_weno_scheme)	scheme,
		double precision, intent(in)	int_step,
		double precision, dimension(:), intent(in)	steps,
		double precision, dimension(:), intent(in)	values )

Parameters

[in]	scheme	the WENO interpolation scheme
[in]	int_step	the distance (from the reference node) where to interpolate
[in]	steps	the discretization steps, with size(steps)==size(values)-1
[in]	values	the field values to which to apply the scheme. They must be of the same dimension as the scheme

Returns

the value of the scheme evaluated with the input values

int_weno_compute_point_from_field()

double precision function mod_interpolation_computer::int_weno_compute_point_from_field	(	class(t_int_weno_scheme)	scheme,
		double precision, dimension(:), intent(in)	x_pos_array,
		double precision, dimension(:), intent(in)	y_pos_array,
		double precision, dimension(:), intent(in)	z_pos_array,
		double precision, dimension(:), intent(in)	x_step_array,
		double precision, dimension(:), intent(in)	y_step_array,
		double precision, dimension(:), intent(in)	z_step_array,
		double precision, dimension(:,:,:), intent(in)	field,
		double precision, intent(in)	x,
		double precision, intent(in)	y,
		double precision, intent(in)	z,
		integer, intent(in)	fv )

Parameters

[in]	scheme	the interpolation scheme
[in]	x_pos_array	the position of the nodes in the x direction
[in]	y_pos_array	the position of the nodes in the y direction
[in]	z_pos_array	the position of the nodes in the z direction
[in]	x_step_array	the discretization step array in the x direction (see "from_array" for specificity of FV method)
[in]	y_step_array	the discretization step array in the y direction
[in]	z_step_array	the discretization step array in the z direction
[in]	field	the field \(\phi(i,j,k)\) to which apply the scheme at the given indices.
[in]	x,y,z	the position where to compute the interpolation
[in]	FV	\({0,1}\) is 0 for Point and 1 for Reconstruction

Returns

the value of the scheme evaluated with the input values

Warning

This function is not the most efficient, especialy when used in a i,j,k loop, because it switches for each direction!

int_weno_dcompute_point_from_field()

double precision function mod_interpolation_computer::int_weno_dcompute_point_from_field	(	class(t_int_weno_scheme)	schemed,
		class(t_int_weno_scheme)	scheme,
		double precision, dimension(:), intent(in)	x_pos_array,
		double precision, dimension(:), intent(in)	y_pos_array,
		double precision, dimension(:), intent(in)	z_pos_array,
		double precision, dimension(:), intent(in)	x_step_array,
		double precision, dimension(:), intent(in)	y_step_array,
		double precision, dimension(:), intent(in)	z_step_array,
		double precision, dimension(:,:,:), intent(in)	field,
		double precision, intent(in)	x,
		double precision, intent(in)	y,
		double precision, intent(in)	z,
		integer, intent(in)	axis,
		integer, intent(in)	fv )

Parameters

[in]	scheme	the interpolation scheme
[in]	schemeD	the interpolation derivative scheme
[in]	x_pos_array	the position of the nodes in the x direction
[in]	y_pos_array	the position of the nodes in the y direction
[in]	z_pos_array	the position of the nodes in the z direction
[in]	x_step_array	the discretization step array in the x direction (see "from_array" for specificity of FV method)
[in]	y_step_array	the discretization step array in the y direction
[in]	z_step_array	the discretization step array in the z direction
[in]	field	the field \(\phi(i,j,k)\) to which apply the scheme at the given indices.
[in]	x,y,z	the position where to compute the interpolation
[in]	axis	the axis along which to interpolate (1, 2 or 3)
[in]	FV	\({0,1}\) is 0 for Point and 1 for Reconstruction

Returns

the value of the scheme evaluated with the input values

Warning

This function is not the most efficient, especialy when used in a i,j,k loop, because it switches for each direction!

rec_compute_from_field()

double precision function mod_interpolation_computer::rec_compute_from_field	(	class(t_rec_scheme)	scheme,
		double precision, intent(in)	step,
		double precision, dimension(:), intent(in)	x_cv_array,
		double precision, dimension(:), intent(in)	y_cv_array,
		double precision, dimension(:), intent(in)	z_cv_array,
		double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k,
		integer, intent(in)	axis )

Parameters

[in]	scheme	the reconstruction scheme
[in]	step	the distance (from the reference node) where to reconstruct
[in]	x_cv_array	the control volume array in the x direction
[in]	y_cv_array	the control volume array in the y direction
[in]	z_cv_array	the control volume array in the z direction
[in]	field	the field \(\phi(i,j,k)\) to which apply the scheme at the given indices.
[in]	i,j,k	the indices where to compute the reconstruction
[in]	axis	the axis (direction) \(axis={1,2,3}\) for \({x,y,z}\)

Returns

the value of the scheme evaluated with the input values

Warning

This function is not the most efficient, especialy when used in a i,j,k loop, because it switches for each direction!