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Finite Volumes for Complex Applications VI, Prague : Czech Republic (2011)
Adaptive Time-Space Algorithms for the Simulation of Multi-scale Reaction Waves
Max Duarte ( ) 1, Marc Massot 1, Stéphane Descombes 2, Thierry Dumont 3
For the DIGITEO MUSE collaboration(s)
(2011-06-06)

We present a new resolution strategy for multi-scale reaction waves based on adaptive time operator splitting and space adaptive multiresolution, in the context of localized and stiff reaction fronts. The main goal is to perform computationally efficient simulations of the dynamics of multi-scale phenomena under study, considering large simulation domains with conventional computing resources. We aim at time-space accuracy control of the solution and splitting time steps purely dictated by the physics of the phenomenon and not by stability constraints associated with mesh size or source time scales. Numerical illustrations are provided for 2D and 3D combustion applications modeled by reaction-convection-diffusion equations.
1:  Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C)
CNRS : UPR288 – Ecole Centrale Paris
2:  Laboratoire Jean Alexandre Dieudonné (JAD)
CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
3:  Institut Camille Jordan (ICJ)
CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon
Mathematics/Analysis of PDEs

Engineering Sciences/Reactive fluid environment

Computer Science/Modeling and Simulation
Time adaptive integration – Space adaptive multiresolution – Combustion
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