Adaptive multiresolution computations applied to detonations

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 allow to assess the accuracy and the computational efficiency, in terms of CPU time and memory requirements.

Zeitschrift für Physicalische Chemie, accepted

References in corpus (1)

• Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames

Cited by in corpus (2)

• An open and parallel multiresolution framework using block-based adaptive grids
• A hybrid adaptive multiresolution approach for the efficient simulation of reactive flows