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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References
Adachi, S., Ishii, K. & Kambe, T. (1997) Vortex sound associated with vortexline reconnection in oblique collision of two vortex rings. ZAMM Z. angew. Math. Mech., 5, 1–5.
Inoue, O., Hattori, Y. &Onuma S. (1997) Acoustic waves generated by shock-vortex interactions. Proc. 21th Intn’l Syrup. Shock Waves,(in press).
Kambe, T., Minota, T. & Takaoka, M. (1993) Oblique collision of two vortex rings and its acoustic emission. Phys. Rev. E, 48, 1866–1881.
Kida, S., Takaoka, M. & Hussain, F. (1991) Collisions of two vortex rings. J.Fluid Mech., 230, 583–646.
Landau, L. D. & Lifshitz, E. M. (1984) Fluid Mechanics, 2nd ed., Course of Theoretical Physics, Vol.6. Pergamon Press.
Lele, S. K. (1992) Compact finite difference schemes with spectral-like resolution. J. Comp. Phys. 103, 16–42.
Minota, T. & Kambe, T. (1986) Observation of acoustic emission from head on collision of two vortex rings. J. Sound Vib., 111, 51–59.
Mitchell, B. E., Lele, S. K. & Moin, P. (1995) Direct computation of the sound from a compressible co-rotating vortex pair. J. Fluid Mech. 285, 181–202.
Poinsot, T. & Lele, S. K. (1992) Boundary conditions for direct simulation of compressible viscous flows, J. Comn. Phys. 101, 104–129.
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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
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