Vortex dynamics simulation in aeroacoustics by the space-time conservation element and solution element method

Abstract

The space-time conservation element solution element (CEASE) method is employed to numerically study several vortex dynamics problems in aeroacoustics. The scheme possesses low dispersion error and the implementation of non-reflecting boundary conditions is simple and effective. The scheme is advantageous for vorticity computation since the spatial derivatives of the flow variables are computed as an integral part of the solution, i.e. no further numerical differentiation with associated loss of accuracy is needed. The scheme is tested for several nonlinear vortex-shock and vortexblade problems to demonstrate its robustness. The method is found to be valuable for vortex simulation as well as computational aeroacaustics.