Numerical Simulation of Acoustic Scattering by a Rotating Cylinder Based on the Enhanced Optimized Scheme

Abstract

Abstract In this paper, we develop a new physical model which involves a Taylor vortex around a rotating cylinder. The scattering of sound waves from this new model is investigated by solving the linearized Euler equations under the polar coordinate system in the time domain. We use the enhanced optimized scheme for numerical simulations. Numerical results show that scattering causes a change in the spatial distribution of sound energy as the sound wave passes through a rotating cylinder. The directionality of the scattered field varies significantly with the length ratio of the acoustic wavelength to the radius of the rotating cylinder and the vortex intensity. The influences of the ratio and the strength on the directivities and intensities of scattered fields are analyzed. It is shown that the intensity of the scattering cross-section increases with the strength of the vortex. The pressure of the scattered sound fields has a phase shift induced by the couple scattering from the cylinder and the vortex.