Solving three dimensional turbulent compressible flows using a high order One Step Monotony Preserving scheme.
Résumé
Direct Numerical Simulation (DNS) of high Reynolds number compressible flows involving shock waves is a challenging task since one must use a numerical scheme that can both represent small scale structures with the minimum of numerical dissipation, and capture discontinuities with the robustness that is common to Godunov-type methods without spoiling the accuracy in the vicinity of the discontinuity. In this context, a high order One-Step Monotonicity-Preserving (OSMP) scheme has been developed by following a Lax-Wendroff approach. The objective of this work is to check the ability of the unlimited OS scheme and its limited version (OSMP) to accurately predict turbulent and shocked flows.