Abstract
A space-time adaptive method is presented for the reactive Euler equations describing chemically reacting gas flow where a two species model is used for the chemistry. The governing equations are discretized with a finite volume method and dynamic space adaptivity is introduced using multiresolution analysis. A time splitting method of Strang is applied to be able to consider stiff problems while keeping the method explicit. For time adaptivity an improved Runge–Kutta–Fehlberg scheme is used. Applications deal with detonation problems in one and two space dimensions. A comparison of the adaptive scheme with reference computations on a regular grid allows to assess the accuracy and the computational efficiency, in terms of CPU time and memory requirements.
Acknowledgement
This article is dedicated to Professor Henning Bockhorn on the occasion of his 70th birthday, thanking him cordially for the great time we had in his group, first in Kaiserslautern and then in Karlsruhe. We also thank Margarete Domingues, Ralf Deiterding and Sonia Gomes for constructive discussions on the topic and fruitful interactions. KS thankfully acknowledges financial support from the ANR project SiCoMHD (ANR-Blanc 2011-045) and OR from the ANR project MAPIE (ANR-13-MONU-0002).
©2015 Walter de Gruyter Berlin/Boston
