Hybrid Adaptive Wavelet Collocation – Brinkman Penalization Method for Unsteady RANS Simulations of Compressible Flow around Bluff Bodies

One of the most practically important problems of computational aero-acoustics is the efficient and accurate calculation of flows around solid obstacles of arbitrary shapes. To simulate flows in complex domains, we combine two mathematical approaches, the Adaptive Wavelet Collocation Method, which tackles the problem of efficiently resolving localized flow structures, and the Brinkman Penalization Method, which addresses the problems of efficiently implementing arbitrary complex solid boundaries. This hybrid approach is applied to unsteady RANS simulations of compressible flows around bluff bodies. The preliminary results of URANS simulations are compared with the recent experimental and numerical results.