Preprint 1999-043

The Random Projection Method for Stiff Detonation Waves

Weizhu Bao and Shi Jin

Abstract: In this paper we present a simple and robust random projection method for underresolved numerical simulation of stiff detonation waves in chemically reacting flows. This method is based on the random projection method proposed by the authors for general hyperbolic systems with stiff reaction terms \cite{Bao}, where the ignition temperature is randomized in a suitable domain. It is simplified using the equations of instantaneous reaction, and then extended to handle the interactions of detonations. Extensive numerical experiments, including interaction of detonation waves, and in two dimensions, demonstrate the reliability and robustness of this novel method.

Available as PostScript (6.5 Mbytes) or gzipped PostScript (814 Kbytes; uncompress using gunzip).
Weizhu Bao
Shi Jin, <>
Publishing information:
Submitted by:
<> December 6 1999.

[ 1996 | 1997 | 1998 | 1999 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
Last modified: Tue Dec 7 10:09:36 1999