Preprint 2000-046

Diffusive Kinetic Explicit Schemes for Nonlinear Degenerate Parabolic Systems

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.

Paper:

Available as PostScript (845 Kbytes) or gzipped PostScript (242 Kbytes; uncompress using gunzip).

Author(s):

D. Aregba-Driollet <aregba@math.u-bordeaux.fr>

R. Natalini, <natalini@iac.rm.cnr.it>

S.Q. Tang, <maotang@pku.edu.cn>

Publishing information:

Quaderno IAC 26/2000

Comments:

Submitted by:

<natalini@iac.rm.cnr.it> November 20 2000.