Acoustic Wave Propagation Through Flows with Vorticity

Abstract

Periodic solutions of the linearized Euler equations, used for the study of sound propagation, are sought. If the velocity field is assumed to be irrotational it is known that, under reasonable hypotheses, the resulting boundary value problem is well posed. In this work the irrotational assumption is dropped and it is demonstrated that the problem can still be well posed. A finite element procedure for the calculation of the solutions is proposed and some numerical examples are presented.