Adaptive Mesh Refinement and Domain Decomposition: A Framework to Study Multi-physical and Multi-scale Phenomena. First Application to Reacting Gas Flows

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3992)


The aim of this work is to extend the Adaptive Mesh Refinement (AMR) technique. AMR is an ideal platform for coupling different discretisations and models, as each grid level can use a different solver. Compact conditions have to be defined and these are problems which are at the core of Domain Decomposition methods. An application to a planar shock interacting with a circular diffusion H2-air flame is presented.


Coarse Grid Domain Decomposition Adaptive Mesh Domain Decomposition Method Planar Shock 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Berger, M.J., Oliger, J.: Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations. J. Comput. Phys. 53, 484–512 (1984)MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    Borrel, M., Huré, N.: A MUSCL/DG AMR Method in 3D: A Multiblock Multigrid AMR Method in 3D using a MUSCL or a Discontinuous Galerkin Approach. Finite Volume for Complex Applications, Porquerolles, France (June 2002)Google Scholar
  3. 3.
    Thévenin, D., Gicquel, O., Hilka, M., Darabiha, N.: Direct Numerical Simulation of turbulent premixed flames using intrinsic low-dimensional manifolds. Combustion Science and Technology 149, 297–337 (1999)CrossRefGoogle Scholar
  4. 4.
    Billet, G.: Vers l’extension de l’approche MUSCL-AUSM-triade à la LES et la DNS des écoulements compressibles visqueux. Application à la combustion instationnaire des flammes de diffusion avec chimie simplifiée. Rapport ONERA (2001)Google Scholar
  5. 5.
    Gander, M.J., Halpern, L., Nataf, F.: Optimal convergence for Overlapping and Non-Overlapping Schwartz Wave form, relaxation. In: 11th International Conference on Domain Decomposition Methods (1999)Google Scholar
  6. 6.
    Billet, G., Abgrall, R.: An adaptive shock capturing algorithm for solvingunsteady reactive flows. Computers and Fluids 32, 1473–1495 (2003)MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • J. Ryan
    • 1
  1. 1.ONERAChâtillon cedexFrance

Personalised recommendations