Skip to main content

Numerical simulation of interacting three-dimensional vortex filaments

  • General Lectures
  • Conference paper
  • First Online:
Book cover Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 35))

Research performed under a NASA-NRC Senior Research associateship.

A curve everywhere tangent to a given continuous vector field c is a vector line of c. Vortex are vector lines of the vorticity field.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Chorin, A. J. J. Fluid Mech. 57, 785 (1973).

    Google Scholar 

  • Christiansen, J. P. J. Comp. Phys. 13, 364 (1973).

    Google Scholar 

  • Crow, S. C. AIAA J. 8, 2172 (1970).

    Google Scholar 

  • Helmholtz, H. J. Reine Angew. Math. 55, 25 (1858) (Trans. by P. G. Tait, Phil. Mag. 33, 485 (1867)).

    Google Scholar 

  • Kambe, T., and Takao, T. J. Phys. Soc. Japan 31, 591 (1971).

    Article  Google Scholar 

  • Kuo, A. Y., and Corrsin, S. J. Fluid Mech. 56, 447 (1972).

    Google Scholar 

  • Lilly, D. K. Mon. Weather Rev. 93, 11 (1965).

    Google Scholar 

  • Marsden, J. Bull. Am. Math. Soc. 80, 154 (1974).

    Google Scholar 

  • Moore, D. W., and Saffman, P. G. Phil. Trans. Roy. Soc. London 272, 403 (1972).

    Google Scholar 

  • Oshima, Y., private communication (1974).

    Google Scholar 

  • Saffman, P. G. Studies Appl. Math. 44, 371 (1970).

    Google Scholar 

  • Thompson, J. J. Motion of Vortex Rings, MacMillan and Co., London (1883).

    Google Scholar 

  • Tung, C., and Ting, L. Phys. Fluids 10, 901 (1967).

    Article  Google Scholar 

  • Widnall, S. E., Bliss, D. and Zalay, A. in Aircraft Wake Turbulence and Its Detection, ed. by J. H. Olsen, A Goldburg, and M. Rogers, Plenum Press, New York (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Robert D. Richtmyer

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Leonard, A. (1975). Numerical simulation of interacting three-dimensional vortex filaments. In: Richtmyer, R.D. (eds) Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0019758

Download citation

  • DOI: https://doi.org/10.1007/BFb0019758

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07139-6

  • Online ISBN: 978-3-540-37416-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics