Preprint 2001-037
Higher-Order Relaxation Schemes for Hyperbolic Systems of Conservation
Laws
Mapundi Banda and Mohammed Seaid
Abstract:
We present a higher order generalisation for relaxation methods in the
framework presented by Jin and Xin. The schemes employ general higher order
integration for spatial discretisation and higher order implicit-explicit
schemes or Total Variation diminishing (TVD) Runge-Kutta schemes for time
integration of relaxed or relaxing schemes, respectively, for time
integration. Numerical experiments are performed on various test problems, in
particular, the Euler equations of inviscid gas dynamics. In addition, uniform
convergence with respect to the relaxation parameter is demonstrated.
- Paper:
- Available as PostScript (511 Kbytes) or
gzipped PostScript (144 Kbytes; uncompress
using gunzip).
- Author(s):
-
Mapundi Banda,
<banda@mathematik.tu-darmstadt.de>
-
Mohammed Seaid,
<seaid@mathematik.tu-darmstadt.de>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<seaid@mathematik.tu-darmstadt.de>
October 4 2001.
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Last modified: Fri Oct 5 08:14:03 MET DST 2001