Skip to main content
Log in

A new method in nonlinear problems of waves in a heavy stratified liquid excited by a vertically moving body

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. K. E. Afanas'ev, M. M. Afanas'eva, and A. G. Terent'ev, “Investigation of the evolution of free surfaces associated with the unsteady motion of bodies in an ideal incompressible fluid using the finite and boundary element methods,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 8 (1986).

    Google Scholar 

  2. S. Yu. Morozenko and N. N. Yas'ko, “Numerical simulation of unsteady inviscid flows with free surfaces,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 3 (1990).

    Google Scholar 

  3. K. A. Bezhanov and A. M. Ter-Krikorov, “Multilayer steady incompressible inviscid flow over an irregular bottom,” Prikl. Mat. Mekh.,48, 750 (1984).

    Google Scholar 

  4. K. A. Bezhanov and A. M. Ter-Krikorov, “Multilayer flow of a heavy incompressible inviscid fluid past a body,” Prikl. Mat. Mekh.,49, 392 (1985).

    Google Scholar 

  5. I. V. Sturova, “Numerical calculations in problems of plane surface wave generation,” Preprint No. 5 [in Russian], Vts. SO AN SSSR, Novosibirsk (1990).

    Google Scholar 

  6. L. N. Sretenskii, Theory of Wave Motions in Liquids [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  7. L. D. Akulenko, S. A. Mikhailov, S. V. Nesterov, and A. A. Chaikovskii, “Numericalanalytical investigation of the oscillations of a solid on the interface between two liquids,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela., No. 4, 59 (1988).

    Google Scholar 

  8. L. M. Milne-Thomson, Theoretical Hydrodynamics, Macmillan, New York (1950).

    Google Scholar 

  9. I. M. Mindlin, “Theory of unsteady vortices in an ideal fluid,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 3 (1980).

    Google Scholar 

  10. I. M. Mindlin, “Waves in a heavy two-layer liquid excited by a naturally rising sphere,” in: Vibrations and Waves in Liquids and Gases [in Russian], Gorki Polytechnic Institute, Gorki (1990), p. 54.

    Google Scholar 

  11. O. A. Til'man and I. M. Mindlin, “Vortex rings in a heavy inorganic fluid with piece-wise-constant density,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 38 (1985).

    Google Scholar 

  12. I. M. Mindlin, “Vortices in an unbounded ideal fluid,” No. 3269-82, Deposited at VINITI, June 24, 1982, Gorki Polytechnic Institute, Gorki (1982).

    Google Scholar 

  13. P. K. Suetin, Classical Orthogonal Polynomials [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  14. I. M. Mindlin, “Parametric resonance of pendulums with a vibrating point of suspension,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela., No. 4, 36 (1969).

    Google Scholar 

  15. I. M. Mindlin, “Integrodifferential equations in the dynamics of eddies and waves in a heavy fluid with piecewise-constant density,” No. 6733-V88, Deposited at VINITI, August 26, 1988, Gorki Polytechnic Institute, Gorki (1988).

    Google Scholar 

  16. I. M. Mindlin, “Generalized velocity potential method in the dynamics of a heavy fluid with piecewise-constant density,” No. 498-V91, Deposited at VINITI, January 30, 1991, Novgorod Polytechnic Institute, Novgorod (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 151–160, September–October, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mindlin, I.M. A new method in nonlinear problems of waves in a heavy stratified liquid excited by a vertically moving body. Fluid Dyn 26, 763–770 (1991). https://doi.org/10.1007/BF01050999

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01050999

Keywords

Navigation