Abstract

Acoustic sounds generated by head-on and oblique collisions of two vortex rings with an equal strength are simulated numerically. By a finite difference method, the axisymmetric/three-dimensional, unsteady, compressible NavierStokes equations are solved directly not only for a near-field but also for a far-field. The sixth-order accurate compact Pade scheme is used for spatial derivatives, together with the fourth-order accurate Runge-Kutta scheme for time integration. The results show that the quadrupolar component of vortex sound is predominant for the case of head-on collision while for the case of oblique collision the octupolar component is also observed.

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