Time-space adaptive numerical methods for the simulation of combustion fronts

http://www.stanford.edu/group/ctr/ResBriefs/2011/; International audience; In this work we are concerned with the the numerical simulation of flames issued from combustion applications with a time-space adaptive technique. This study is carried out in a classical context of laminar flames interacting with vortex structures including self-ignition processes of reactive mixtures. Hydrodynamics are decoupled from transport equations by adopting a standard thermo-diffusive approach. In this context and for the considered application, adaptive space meshing is advantageous because of the presence of localized fronts, whereas the important transient phases owing to the imposed velocity fields, as well as sudden physical variations given by the ignition of the mixture, require an adequate time adaptation in order to efficiently describe these phenomena. The coupling of an adaptive splitting technique with adaptive multiresolution in space allows a very efficient approach and leads to detailed numerical simulations in 2D and 3D with standard computer ressources.