An implicit large eddy simulation method based on all-speed schemes

Abstract

It remains a challenge for ILES methods to provide physical consistent viscosity in real applications which comprise complex flow structures in both high and low Mach numbers regimes. For these, we analyze an Implicit Large Eddy Simulation (ILES) method based upon all-speed schemes in a framework of the finite volume method in this study. This method can accurately capture both compressible phenomena such as shock waves as well as small turbulent structures. With a detailed analysis of the numerical viscosity and effective eddy viscosities in physical and spectral spaces, the method is verified to be suitable for the simulation of compressible turbulent flows. After it, the derived ILES method is applied to the simulation of a cylinder flow and a transonic cavity flow. Both results are in good agreements with the previous LES or experimental data. These results indicate that it is promising to study the application of the all-speed scheme to the ILES of complex engineering flow problems.