Evaluation of the gas kinetic scheme based on analytical solution to the BGK model for simulating compressible turbulent flows

Abstract

We evaluate the performance of the newly developed analytical gas kinetic method (AGKM) by Xuan and Xu [10] to fully three-dimensional turbulent flows by simulating decaying compressible turbulence. Evaluation is performed in low, intermediate and high Mach number regimes. We find that in the low and the intermediate Mach number regimes, AGKM results shows excellent agreement with high order accurate results obtained with traditional Navier-Stokes solvers in terms of turbulent kinetic energy decay and pressure/density fluctuations. However at high Mach numbers (>0.7), the performance of AGKM is inadequate and may require enhancement such as weighted essentially non-oscillatory schemes (WENO).