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.

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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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