Skip to main content
SpringerLink
Log in

Numerical Investigation of Wave Formation in an Annular Channel

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

The article presents numerical modeling of the formation of a solitary wave in an annular channel under the action of a continuous wind generated by several sources distributed across the channel. The numerical results are compared with experimental data. Efficient application of parallel computational resources, produces a good result in acceptable time. The proposed model simulates the formation of solitary waves and the interaction of two nonlinear waves, and also produces the conditions of formation of 1, 2, 3, and 4 waves on a liquid surface.

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. H. Yuen and B. Lake, Nonlinear Dynamics of Deep-Water Gravity Waves [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  2. Yu. A. Stepanyants and A. L. Fabrikant, Wave Propagation in Shear Flows. Modern Topics in Physics [in Russian], Fizmatlit, Moscow (1996).

  3. L. H. Holthuijsen, Waves in Oceanic and Coastal Waters, Cambridge University Press (2007), ISBN 0521860288.

  4. G. Falkovich, Fluid Mechanics (A Short Course for Physicists), Cambridge University Press (2011), ISBN 978-1-107-00575-4.

  5. R. Kuz’min, V. Laponin, N. Savenikov, and S. Skladchikov, “Mathematical modeling of the formation of a solitary wave on a fluid surface,” Inzh. Fiz., No. 8, 19–24 (2014).

  6. N. Savenkova and V. Laponin, “A numerical method for finding soliton solutions in nonlinear differential equations,” Moscow Univ. Comput. Math. Cybernet., 37, No. 2, 49–54 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  7. U. Yusupaliyev, N. Savenkova, S. Shuteyev, and others, “Computer simulation of vortex self-maintenance and amplification,” Moscow Univ. Phys. Bull., 68, No. 4, 317–319 (2013).

  8. V. Bychkov, N. Savenkova, S. Anpilov, and Y. V. Troshchiev, “Modeling of vorticle objects created in Gatchina discharge,” IEEE Trans. Plasma Sci., 40, No. 12, 3158–3161 (2012).

    Article  Google Scholar 

  9. A. A. Samarskii and A. V. Gulin, Numerical Methods [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  10. V. V. Voevodin and Vl. V. Voevodin, Parallel Computation [in Russian], BKhV-Peterburg, St-Peterburg (2002).

Download references

Author information

Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    V. S. Laponin, S. A. Skladchikov & N. P. Savenkova

Authors
  1. V. S. Laponin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Skladchikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. P. Savenkova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. S. Laponin.

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 54, 2017, pp. 75–82.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Laponin, V.S., Skladchikov, S.A. & Savenkova, N.P. Numerical Investigation of Wave Formation in an Annular Channel. Comput Math Model 29, 96–101 (2018). https://doi.org/10.1007/s10598-018-9391-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10598-018-9391-8

Keywords

Search

Navigation