mod_integration_computer Module Reference

Computer for evaluating Integration Schemes.

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. More...
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. More...
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')

Function/Subroutine Documentation

integ_compute_from_array()

double precision function mod_integration_computer::integ_compute_from_array	(	class(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
	)

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(integ_scheme)	scheme,
		double precision, dimension(:), intent(in)	values,
		double precision, intent(in)	cell_width
	)

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