Skip to main content
SpringerLink
Log in

Green’s model of cylindrical vortex decay

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

Modeling vortex decay is essential for estimating the risk that during landing an aircraft will hit the wake vortex from a preceding aircraft. The relevance of this problem has increased due to the growing traffic in airports and the development of vortex forecasting systems. Green’s model, one of the models describing the decay of point vortices, is generalized in this article to cylindrical vortices.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. C. Green, “An approximate model of vortex decay in the atmosphere,” J. Aircraft, 23 (July 1986).

  2. L. N. Sedov, Mechanics of Continua [in Russian], Vol. 2, Nauka, Moscow (1976).

    Google Scholar 

  3. B. W. McCormick, Jr., Aerodynamics of V/STOL Flight, Academic Press, New York (1967).

    Google Scholar 

  4. T. J. Robinson, A Simulation-Based Study of the Impact of Aircraft Wake Turbulence Weight Categories on Airport Capacity, Air Traffic Management Research, Boeing Commercial Airplane Group.

  5. S. M. Belotserkovsky and I. K. Lifanov, Method of Discrete Vortices, CRC Press, Boca Raton (1994).

  6. S. M. Belotserkovskii and B. Yu. Sobolev, “Discrete vortex method and turbulence,” Preprint 10-93 [in Russian], Inst. Teoret. Prikl. Mekhan., Novosibirsk (1993).

    Google Scholar 

  7. T. V. Kalyadina and V. V. Morozov, “Computing the danger zone radius around a vortex,” Computational Mathematics and Modeling, 14, No. 4, (Oct.–Dec. 2003).

  8. D. A. Hinton, Aircraft Vortex Spacing System (AVOSS) Conceptual Design, NASA TM-110184 (August 1995).

  9. R. A. Stuever and G. C. Green, “An analysis of relative wake-vortex hazards for typical transport aircraft,” 32nd Aerospace Sciences Meeting and Exhibit, January 10–13, 1994, Reno, NV, AIAA 94-0810 (1994).

Download references

Authors
  1. V. V. Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. V. Kalyadina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Prikladnaya Matematika i Informatika, No. 25, pp. 70–80, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morozov, V.V., Kalyadina, T.V. Green’s model of cylindrical vortex decay. Comput Math Model 19, 186–194 (2008). https://doi.org/10.1007/s10598-008-0012-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10598-008-0012-9

Keywords

Search

Navigation