hrweno_fluxes – hrweno

This module contains basic flux schemes for scalar problems. They are mostly intented to help test the other modules. The WENO schemes themselves are applicable to scalar and multiple component problems. Source: ICASE 97-65 by Shu, 1997.

Uses

- hrweno_kinds
Help

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.

Used by

Help

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.

Functions

public pure function lax_friedrichs(f, vm, vp, x, t, alpha) result(res)

Monotone Lax-Friedrichs flux. It is more dissipative than the Godunov method, but computationally less demanding. Source: Equation 2.72, page 21.

Arguments

Type	Intent		Name
procedure(flux)		::	f	flux function, $f(v, x, t)$
real(kind=rk),	intent(in)	::	vm	left (minus) reconstruction, $v_{i+1/2}^-$
real(kind=rk),	intent(in)	::	vp	right (plus) reconstruction, $v_{i+1/2}^+ = v_{(i+1)-1/2}^-$
real(kind=rk),	intent(in)	::	x(:)	$x$ at flux interface, $x_{i+1/2}$
real(kind=rk),	intent(in)	::	t	time, $t$
real(kind=rk),	intent(in)	::	alpha	$\max(\|f'(v)\|)$ in the domain on the problem

Return Value real(kind=rk)

public pure function godunov(f, vm, vp, x, t) result(res)

Monotone Godunov flux. It is less dissipative than the Lax-Friedrichs method, but computationally more demanding because of the if constructs. Source: Equation 2.70, page 21.

Arguments

Type	Intent		Name
procedure(flux)		::	f	flux function, $f(v, x, t)$
real(kind=rk),	intent(in)	::	vm	left (minus) reconstruction, $v_{i+1/2}^-$
real(kind=rk),	intent(in)	::	vp	right (plus) reconstruction, $v_{i+1/2}^+ = v_{(i+1)-1/2}^-$
real(kind=rk),	intent(in)	::	x(:)	$x$ at flux interface, $x_{i+1/2}$
real(kind=rk),	intent(in)	::	t	time, $t$

hrweno_fluxes Module

Contents

Functions

Uses

Used by

Functions

public pure function lax_friedrichs(f, vm, vp, x, t, alpha) result(res)

Arguments

Return Value real(kind=rk)

public pure function godunov(f, vm, vp, x, t) result(res)

Arguments

Return Value real(kind=rk)