TOWARDS DIRECT NUMERICAL SIMULATION OF A DIFFUSION FLAME/SHOCK INTERACTION WITH AN AMR ALGORITHM

The local adaptive mesh refinement (AMR) platform written at ONERA by M. Borrel et al. [1],[2],[3], originally developed by Berger and Oliger, Colella and afterwards by Quirk and many authors, uses a sequence of nested levels of refined structured patchwork shape grids on which a solver or different solvers can be applied. Presently, two non reactive solvers ( MUSCL and DG solvers) and a reactive multi-species solver are available. The reactive solver (MAJIC) is based on a cell vertex and a time splitting method, [4]. It simulates unsteady reactive flows for a wide range of Mach number. It is based on a one step scheme and adaptive limiters improving accuracy and stability. The modifications of classical AMR treatments to integrate the finite difference solver, especially concerning the interpolation at fine-coarse boundaries will be detailed. Due to its hierarchical structure, the AMR approach is particularly attractive for multiscale problems. We apply the proposed approach to the interaction of a steady planar shock with a circular diffusion flame H2-air convected by the flow at Mach 2 (see fig. 1 and 2). The solver uses a detailed chemical scheme with nine species (Miller et al.) and takes into account the transport coefficients. The computa-tion complexity enhances the need for an AMR technique. This simulation requires refinements aroun