Preprint 2002-003

A Class of the Relaxation Schemes for Two-Dimensional Euler Systems of Gas Dynamics

Abstract: In the computation of approximate solutions to hyperbolic conservation laws, relaxation schemes have proven to be very useful. In this paper we present a new higher order relaxation scheme based on higher order nonoscillatory central space discretization and higher order time discretization without use of Riemann solvers. Numerical experiments with 2D Euler systems of gas dynamics are presented to demonstrate the remarkable accuracy of the relaxation scheme.

Paper:

Available as PostScript (889 Kbytes) or gzipped PostScript (227 Kbytes; uncompress using gunzip).

Author(s):

Mohammed Seaid, <seaid@mathematik.tu-darmstadt.de>

Mapundi K. Banda, <banda@mathematik.tu-darmstadt.de>

Publishing information:

To appear in Lecture Notes in Computer Science

Comments:

Submitted by:

<seaid@mathematik.tu-darmstadt.de> January 20 2002.