Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T11:45:06.672Z Has data issue: false hasContentIssue false
  • English
  • Français

Weakly interacting internal solitary waves in neighbouring pycnoclines

Published online by Cambridge University Press:  20 April 2006

A. K. Liu ,
N. R. Pereira  and
D. R. S. Ko
A. K. Liu
Affiliation:
Dynamics Technology Inc., 22939 Hawthorne Blvd, Suite 200, Torrance, California 90505
N. R. Pereira
Affiliation:
Dynamics Technology Inc., 22939 Hawthorne Blvd, Suite 200, Torrance, California 90505 Present address: Maxwell Laboratory, 8835 Baldoa Avenue, San Diego, California 92123.
D. R. S. Ko
Affiliation:
Dynamics Technology Inc., 22939 Hawthorne Blvd, Suite 200, Torrance, California 90505
Get access Rights & Permissions [Opens in a new window]

Abstract

Weak coupling between nonlinear internal solitary waves on neighbouring pycnoclines allows resonant energy exchange. The lagging wave increases its energy and speed at the expense of the front-running wave, so that the waves leapfrog about an average position. Analytical estimates for this process agree with the wave-tank experiments described in the companion paper by Weidman & Johnson (1982).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 187 - 194
Copyright
© 1982 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benjamin, T. B. 1966 Internal waves of finite amplitude and permanent form. J. Fluid Mech. 25, 241–270.Google Scholar
Benjamin, T. B. 1967 Internal waves of permanent form in fluids of great depth. J. Fluid Mech. 29, 559–592.Google Scholar
Benney, D. J. 1966 Long non-linear waves in fluid flows. J. Math. & Phys. 45, 52–63.Google Scholar
Eckart, C. 1961 Internal waves in the ocean. Phys. Fluids 4, 791–799.Google Scholar
Henyey, F. S. 1980 Finite-depth and infinite-depth internal-wave solitons. Phys. Rev. A 21, 1054–1056.Google Scholar
Joseph, R. I. 1977 Solitary waves in a finite depth fluid. J. Phys. A: Math. Gen. 10, L225–L226.Google Scholar
Keulegan, G. H. 1953 Characteristics of internal solitary waves. J. Res. Nat. Bur. Stand. 51, 133–140.Google Scholar
Kubota, T., Ko, D. R. S. & Dobbs, L. 1978 Propagation of weakly nonlinear internal waves in a stratified fluid of finite depth. J. Hydronautics 12, 157–165.Google Scholar
Liu, A. K., Kubota, T. & Ko, D. R. S. 1980 Resonant transfer of energy between nonlinear waves in neighbouring pycnoclines. Stud. Appl. Math. 63, 25–45.Google Scholar
Long, R. R. 1956 Solitary waves in the one and two fluid systems. Tellus 8, 460–471.Google Scholar
Ono, H. 1975 Algebraic solitary wayes in stratified fluids. J. Phys. Soc. Japan 39, 1082–1091.Google Scholar
Pereira, N. R. & Redekopp, L. G. 1980 Radiation damping of long, finite amplitude internal waves. Phys. Fluids 23, 2182–2183.Google Scholar
Weidman, P. D. & Johnson, M. 1982 Experiments on leapfrogging internal solitary waves. J. Fluid Mech. 122, 195–213.Google Scholar