Re: Shallow water equations - finite difference integration
- From: Torsten Hennig <Torsten.Hennig@xxxxxxxxxxxxxx>
- Date: Thu, 09 Aug 2007 04:10:57 EDT
Dear All
Could anyone send me some simple MATLAB code to do an >Arakawa-Lamb
finite difference integration of the shallow water >equations? Mostly I
really need to see the scheme laid out clearly and >explicitly.
Also, anyone had any luck with test cases? I've read >that the shallow
water equations generate detail on arbitrary fine scales >very quickly,
so that generally you need an artificial diffusion term >to prevent
blow up?
Many thanks in advance,
Max
Hi,
a discretization scheme for the solution of the
shallow-water equations
(and in general for first-order hyperbolic
partial differential equations)is given in
the article
S.V.Pennington, M.Berzins:
New NAG Library software for first-order partial
differential equations
In: Transactions on mathematical software,
Vol. 20, No.1, March 1984
If you have access to NAG software, it's included in
the D03P subchapter.
Best wishes
Torsten.
.
- References:
- Shallow water equations - finite difference integration
- From: maxlittle2007
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