Diffusive Kinetic Explicit Schemes for Nonlinear Degenerate Parabolic
D. Aregba-Driollet, R. Natalini, and S.Q. Tang
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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