Deformation and Splitting of Pseudo-elliptical Vortex Rings

  • M. Kiya
  • H. Ishii
Conference paper

Abstract

A vortex-dynamics simulation has been made on the deformation of a pseudo-elliptical vortex ring which consists of two parallel line segments connected by two semicircles of the same radius, the major-to-minor axis ratio being between 2 and 20. The deformation has four fundamental patterns depending on the aspect ratio: the periodic axis switching; the splitting into two vortex rings after the axis switching; the splitting into two vortex rings without the axis switching; the splitting into three vortex rings without the axis switching.

Keywords

Vortex Vorticity 

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References

  1. Anderson, C. & Greengard, C. 1985 SIAM J. Numer. Anal. 22, 413.CrossRefMATHADSMathSciNetGoogle Scholar
  2. Aref, H. & Zawadzki, I. 1990 Topological Fluid Mechanics (eds. H. K. Moffatt and A. Tsinober), Camb.Univ. Press 535.Google Scholar
  3. Beale, J. T. & Majda, A. 1982a Math. Comp. 39, 1.MATHADSMathSciNetGoogle Scholar
  4. Beale, J. T. & Majda, A. 1982b Math. Comp. 39, 29.MATHMathSciNetGoogle Scholar
  5. Greengard, C. & Thomann, E. 1988 Phys. Fluids 31, 2810.CrossRefMATHADSMathSciNetGoogle Scholar
  6. Hussain, F. & Husain, H. S. 1989 J. Fluid Mech. 208, 257.CrossRefADSGoogle Scholar
  7. Kambe, T. & Takao, T 1971 J. Phys. Soc. Japan 31, 591.CrossRefADSGoogle Scholar
  8. Leonard, A 1985 Ann. Rev. Fluid Mech. 17, 523.CrossRefADSGoogle Scholar
  9. Kiya, M. & Ishii, H. 1988 Fluid Dyn. Res. 3, 197.CrossRefADSGoogle Scholar
  10. Saffman, P.G. & Merion, D. I. 1986 Phys. Fluids 28, 2373.CrossRefADSGoogle Scholar
  11. Toyoda, K. & Hussain, F 1989 Trans. JSME B55, 1542 (in Japanese).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • M. Kiya
    • 1
  • H. Ishii
    • 1
  1. 1.Department of Mechanical EngineeringHokkadido UniversitySapporo, 060Japan

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