Optimized Combined Compact Differencing Methods for Computational Aeroacoustics

The sixth order Combined Compact Differencing (CCD) scheme of Chu and Fan is optimized, resulting in exceptional performance. Results indicate that the best of these optimized schemes can accurately propagate linear simple harmonic waves with fewer than three points per wavelength, while using a three point differencing stencil. Stable and accurate boundary treatments for these schemes are given, and the performance of these schemes is assessed using a benchmark problem.