Performance of High-Order-Accurate, Low-Diffusion Numerical Schemes for Compressible Flow

High-order-accurate methods for the compressible flow equations in complex domains are evaluated. The first class of methods is appropriate for flows without discontinuities and uses high-order-accurate, centered space discretizations. The methods postprocess the computed solution with explicit spectral-type filters. The second class of methods uses centered schemes with characteristic-based filters and the artificial compression method, which makes it appropriate for discontinuous flows. The third class is the weighted essentially nonoscillatory finite difference schemes. Numerical solutions of model aeroacoustic problems and compressible flowfields are computed, and the accuracy of each method is evaluated.