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Nonlinear internal waves in a stratified fluid in a closed basin

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Il Nuovo Cimento C

Summary

The problem of two layers of homogeneous inviscid incompressible fluid of density ϱ1 and ϱ2 (ϱ1>ϱ2) separated by a free surface in a closed basin is studied via a variational principle. A system of ordinary differential equations in the time variable, which approximate the original problem, is derived and discussed.

Riassunto

Si usa un principio variazionale per studiare il problema del moto di due fluidi omogenei incompressibili non viscosi di densità ϱ1, ϱ2 (ϱ1>ϱ2) separati da una superficie libera in un bacino chiuso. Dopo alcune approssimazioni si deriva e discute un sistema di equazioni differenziali ordinarie.

Резюме

С помоыью вариационного принципа исследуется проблема двух слоев однородной невязкой несжимаемой жидкости с плотностями ϱ1 и ϱ2 (ϱ1>ϱ2), раазделенных свободной поверхностью в замкнутом резервуаре. Выводится и обсуждается система обыкновенных дифференциальных уравнений по временной переменной, которая аппроксимирует исходную проблему.

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Literatur

  1. J. C. Luke:Journ. Fluid Mech.,27, 395 (1967).

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  2. J. W. Miles:Journ. Fluid Mech.,75, 419 (1976).

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  3. G. B. Whitham:Linear and Nonlinear Waves (New York, N. Y., 1974).

  4. G. H. Murphy:Ordinary Differential Equations and Their Solutions (Amsterdam, 1960), p. 384 (equationy″+(a+by′ 2)y=0).

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Author information

Author notes

  1. F. Zirilli

    Present address: Harvard University, 02138, Cambridge, Mass

Authors and Affiliations

  1. Istituto di Fisica dell'Università, Roma

    M. Falcioni & A. Sutera

  2. Istituto di Matematica dell'Università, Roma

    F. Zirilli

Authors
  1. M. Falcioni
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  2. A. Sutera
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  3. F. Zirilli
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Additional information

Work done under the auspices of C.N.R.-G.N.A.F.A.

Partially supported by NSF under grant PHY77-18762.

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Falcioni, M., Sutera, A. & Zirilli, F. Nonlinear internal waves in a stratified fluid in a closed basin. Il Nuovo Cimento C 1, 136–146 (1978). https://doi.org/10.1007/BF02524835

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  • DOI: https://doi.org/10.1007/BF02524835

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