Cabaret Scheme for Computational Aero Acoustics: Extension to Asynchronous Time Stepping and 3D Flow Modelling

Abstract

Explicit time stepping renders many high-resolution schemes in Computational Aeroacoustics to become less efficient when dealing with non-uniform meshes in multiple dimensions. In the present paper, the Compact Accurately Boundary-Adjusting high-REsolution Technique (CABARET) Euler scheme is extended to asynchronous time-stepping which allows it to significantly boost computational performance with non-uniform grids. Numerical examples for 1D and 2D CABARET with asynchronous time stepping are provided. For further demonstration of the CABARET's capabilities in 3D where the asynchronous time stepping is expected to bring a step change in the scheme efficiency, Large Eddy Simulation of subsonic flow over a NACA0012 airfoil at zero angle of attack is conducted. The aerodynamic and acoustic results obtained with a single time stepping CABARET method are compared with the experimental data available.