A COMPUTATIONAL STUDY OF SOUND SCATTERING BY ELLIPTIC VORTICES
Résumé
The scattering of acoustic waves by elliptic vortices is studied in two dimensions by solving the Linearized Euler Equations with the Discontinuous Galerkin Method. The parameters of interest for this work are: the aspect ratio of the elliptic vortex, the orientation of the vortex with regard to the incident acoustic waves, the magnitude of the vortex velocity and the ratio between the acoustic wavelength and the size of the vortex λ 0 /r 0. The vortex orientation and its velocity magnitude affect the number of visible interference patterns, their amplitude and their angular spread around the vortex. The parameter λ 0 /r 0 also has an effect on the width of individual interference beams. The aspect ratio of the vortex has a milder effect on the scattered field. Next, the scattering observed when the vortex is convected by a uniform mean flow is studied. During the convection of the vortex, the scattered field evolves because the orientation of the incident wavefronts and the ratio λ 0 /r 0 vary with the position of the vortex. The signals recorded at several microphone positions show that the scattering of the acoustic field leads to a spectral broadening associated with the convection of the vortex.
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