A Nonconservative Numerical Approach for Hyperbolic Systems with Source
Terms: the Well-Balanced Schemes
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.
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- Laurent Gosse,
- Publishing information:
- To appear in the Proceeding of the Eighth Int'l Conference on Hyperbolic
Problems (Magdeburg, 2000)
- Submitted by:
October 18 2001.
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