Preprint 2002-011

Kinetic Approximation of a Boundary Value Problem for Conservation Laws

Abstract: We design numerical schemes for systems of conservation laws with boundary conditions. These schemes are based on relaxation approximations taking the form of discrete BGK models with kinetic boundary conditions. The resulting schemes are Riemann solver free and easily extendable to higher order in time or in space. For scalar equations convergence is proved. We show numerical examples, including solutions of Euler equations.

Paper:

Available as PostScript (1.5 Mbytes) or gzipped PostScript (307 Kbytes; uncompress using gunzip).

Author(s):

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

Vuk Milisic, <milisic@math.u-bordeaux.fr>

Publishing information:

Comments:

Submitted by:

<milisic@math.u-bordeaux.fr> February 6 2002.