Implementation of Turbulence Models to High-Order Spectral Difference Method

Abstract

In this study, the spectral difference (SD) method has been extended to deal with the Reynolds-Averaged Navier- Stokes (RANS) equations coupled with the Spalart-Allmaras (SA) and k ω turbulence models. The description of limiting or stabilization techniques adopted in order to prevent the simulation from blowing up are given in this paper. The reliability, robustness and accuracy of the implementation have been assessed by computing several validation cases: the flow over flat plate(Re “ 5ˆ 10), the flow past a backward-facing step (Re “ 37400) and the flow around NACA0012 airfoil at different angles of attack (α “ 0, 10). Finally the developed SD solver is applied to simulate the tone noise generated by subsonic cavity flow at moderate Reynolds number.