Adaptive multiresolution computations applied to detonations

Olivier Roussel (1) , Kai Schneider (2)

1 CORIA - Complexe de recherche interprofessionnel en aérothermochimie
2 M2P2 - Laboratoire de Mécanique, Modélisation et Procédés Propres

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.

Mots clés: finite volume; detonation; multiresolution; wavelet; adaptivity

Domaines: Mécanique des fluides [physics.class-ph]

Olivier Roussel, Kai Schneider. Adaptive multiresolution computations applied to detonations. Zeitschrift für Physikalische Chemie, 2015, 229 (6), pp.931-953. ⟨hal-01118153⟩