Preprint 2000-046

Diffusive Kinetic Explicit Schemes for Nonlinear Degenerate Parabolic Systems

D. Aregba-Driollet, R. Natalini, and S.Q. Tang

Abstract: We design numerical schemes for nonlinear degenerate parabolic systems. These schemes are based on discrete BGK models where both characteristic velocities and the source-term depend singularly on the relaxation parameter. General stability conditions are derived, and for scalar equations convergence is proved. Although we restrict this paper to cartesian grids, we show that the method may be also adapted to unstructured meshes.

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D. Aregba-Driollet <>
R. Natalini, <>
S.Q. Tang, <>
Publishing information:
Quaderno IAC 26/2000
Submitted by:
<> November 20 2000.

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