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A computer simulation of the interaction of acoustic waves and an isolated vortex structure s in the a linear approximation.

The problem of the scattering of sound by isolated vortexes vortices is of interest in itself, and like forms the base basis for the understanding of the interaction of acoustic waves with vorticity vorticities in fluid flows, including the generation of sound by turbulence.
To solve the scattering problem s , the linearized Euler equations on non-uniform average fields assuming isentropic medium are used. For the numerical simulation is applied a scheme based on the quasi-one-dimensional reconstruction of the 5th order of accuracy is applied. Calculations were performed using the parallel research code NOISEtte (KIAM RAS).
The results of the calculations of the scattering of a plane acoustic wave by isentropic Gaussian-core vortex of a constant velocity circulation are presented. The convergence of solutions to the benchmark solution [1]. In contrast to the results of other authors [1,2] not only Cartesian, but a quasi-uniform unstructured triangular grids have been used. It is found that in both cases the results are practically the same for the same number of nodes.
Next we consider the problem of the scattering of a cylindrical acoustic wave from a point source by the Rankine vortex. The calculations are performed on unstructured grids. The results of different approaches to the problem were compared: a finite-volume (NOISEtte), finite element (Actran DGM) and the finite-difference scheme based on the Cabaret [2].
The results of work, in particular, confirm that the software system NOISEtte and the method used in it can be successfully applied to the numerical simulation of the interaction of acoustic waves and vortex structures.

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