Adaptive multiresolution computations applied to detonations

International audienceA 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 introducedusing multiresolution analysis.A time splitting method of Strang is applied to be able to consider stiff problems while keepingthe 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 allow to assessthe accuracy and the computational efficiency, in terms of CPU time andmemory requirements