mod_integration_computer Module Reference

Computer for evaluating Integration Schemes. More...

Functions/Subroutines
double precision function	integ_compute_from_values (scheme, values, cell_width)
	Compute the integration via the scheme by giving the associated field values.
double precision function	integ_compute_from_array (scheme, scheme_interp, step_array, cv_array, array, index)
	Compute the integration via the scheme by giving the associated array, the index where to compute the integration.
double precision function	integ_compute_from_field (scheme, order, pos_field_x, pos_field_y, pos_field_z, cv_field_x, cv_field_y, cv_field_z, field, i, j, k, dim)
	Integrate on the field Given a 'scheme' and the 'order' of interpolation.
double precision function	integ_compute_from_field_with_function (scheme, order, pos_field_x, pos_field_y, pos_field_z, cv_field_x, cv_field_y, cv_field_z, field, i, j, k, dim, func, arg)
	Integrate on the field Given a 'scheme' and the 'order' of interpolation Apply the given scalar function to the interpolated values.
double precision function	integ_compute_from_face_field (scheme, order, pos_field_x, pos_field_y, pos_field_z, cv_field_x, cv_field_y, cv_field_z, field, i, j, k, dim, comp)
	Integrate on the field Given a 'scheme' and the 'order' of interpolation Using the component 'comp' (1 for 'u', 2 for 'v', 3 for 'w')

Detailed Description

Computer for evaluating Integration Schemes.

Function/Subroutine Documentation

integ_compute_from_array()

double precision function mod_integration_computer::integ_compute_from_array	(	class(t_integ_scheme), intent(in)	scheme,
		class(t_int_scheme), intent(in)	scheme_interp,
		double precision, dimension(:), intent(in)	step_array,
		double precision, dimension(:), intent(in)	cv_array,
		double precision, dimension(:), intent(in)	array,
		integer, intent(in)	index )

Compute the integration via the scheme by giving the associated array, the index where to compute the integration.

For that purpose, we use interpolation of the data in 'array' The integration is done around the 'index' node, ie in the interval [pos(index)-cv_array(index)/2 : pos(index)+cv_array(index)/2]

Parameters

[in]	scheme	the finite difference scheme
[in]	scheme_interp	the interpolation scheme to use type_int_scheme
[in]	step_array	the discretization step array where step_array(i) is the step between array(i) and array(i+1)
[in]	array	the 1D array \(\phi(i)\) to which apply the scheme at the given index.
[in]	cv_array	is the control volume array, around the nodes
[in]	index	the index where to compute the integral

Returns

the value of the scheme evaluated with the input values

Precondition

the scheme has to be of dimension 1!

integ_compute_from_values()

double precision function mod_integration_computer::integ_compute_from_values	(	class(t_integ_scheme)	scheme,
		double precision, dimension(:), intent(in)	values,
		double precision, intent(in)	cell_width )

Compute the integration via the scheme by giving the associated field values.

Note

The integration is done between [-1:+1]

Parameters

[in]	scheme	the integration scheme
[in]	values	the field values to which to apply the scheme. They must be located at the associated scheme positions. The array must be of the same dimension as the scheme.
[in]	cell_width	the physical effective width (volume) of the 1D cell

Returns

the value of the scheme evaluated with the input values