High-Precision Acoustic Simulation of a Turbulent Flow over a Curved Body

Abstract

we present a method for numerical modeling of acoustic disturbances generated by the scattering of artificially created turbulent fields on curved obstacles. We performed the calculations using dispersion-preserving finite-difference schemes commonly applied in computational aeroacoustics. These schemes employ wide stencils, providing high accuracy and resolving high-frequency harmonics. Given the wide stencil, we focused on the problem of setting numerical boundary conditions on the surface of a solid body. We applied an approach using a ghost point located inside the solid body near the boundary, outside the computational domain. We obtained new theoretical results for curved boundaries. To generate the artificial turbulent field, we applied a previously developed method of tensor filtering of white noise, adapted to a two-dimensional formulation. We present results of modeling the scattering of a turbulent wake on an elliptical cylinder, demonstrating the formation of pressure waves using this approach.