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Acoustic Sound Generated by Collision of Two Vortex Rings

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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 44))

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 Padé 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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© 1998 Springer Science+Business Media Dordrecht

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Inoue, O., Hattori, Y. (1998). Acoustic Sound Generated by Collision of Two Vortex Rings. In: Krause, E., Gersten, K. (eds) IUTAM Symposium on Dynamics of Slender Vortices. Fluid Mechanics and Its Applications, vol 44. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5042-2_30

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  • DOI: https://doi.org/10.1007/978-94-011-5042-2_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6117-9

  • Online ISBN: 978-94-011-5042-2

  • eBook Packages: Springer Book Archive

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