pbepack_quadratures Module

Uses

- pbepack_kinds
- pbepack_lib
- hrweno_grids
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Used by

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Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.
Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.

Contents

Functions

quadgrid1 evalmoment

Functions

public pure function quadgrid1(fnc, grid, average) result(res)

Cell-integral or cell-average of $f(x)$ over grid, using Simpson's 1/3 rule.

Arguments

Type	Intent	Optional	Attributes		Name
procedure(fx)				::	fnc	function $f(x)$ to integrate/average over grid cells
type(grid1),	intent(in)			::	grid	`grid1` object
logical,	intent(in),	optional		::	average	flag to compute cell-average instead of cell-integral

Return Value real(kind=rk), (grid%ncells)

public pure function evalmoment(u, grid, order, normalize) result(res)

$m$ -th order moment of $u(x,t)$ : $M_m(t) = \int _0^\infty x^m u(x,t)dx = {\sum_i \bar{u_i}(t) \Delta x_i x_i^m}$

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	u(:)	cell-average number density, $\bar{u_i}$
type(grid1),	intent(in)			::	grid	`grid1` object
integer,	intent(in)			::	order	order of the moment
logical,	intent(in),	optional		::	normalize	if `true`, the result will be normalized by the 0-th moment

Return Value real(kind=rk)