Preprint 2001-045
A Nonconservative Numerical Approach for Hyperbolic Systems with Source
Terms: the Well-Balanced Schemes
Laurent Gosse
Abstract:
We present an introduction to the Well-Balanced schemes in both cases of
scalar and systems of nonhomogeneous balance laws. Our construction is based
on a reformulation of the source terms as nonconservative products. Some simple
self-similar Riemann solvers and thus most Godunov-type schemes can be deduced.
We provide also a few relevant computational results.
- Paper:
- Available as PostScript (204 Kbytes) or
gzipped PostScript (82 Kbytes; uncompress
using gunzip).
- Author(s):
- Laurent Gosse,
<laurent@dimat.unipv.it>
- Publishing information:
- To appear in the Proceeding of the Eighth Int'l Conference on Hyperbolic
Problems (Magdeburg, 2000)
- Comments:
-
- Submitted by:
-
<laurent@dimat.unipv.it>
October 18 2001.
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Last modified: Fri Oct 19 09:07:17 MET DST 2001