Saffman, Philip G. and Yuen, Henry C. (1982) Finite-amplitude interfacial waves in the presence of a current. Journal of Fluid Mechanics, 123 . pp. 459-476. ISSN 0022-1120. doi:10.1017/S0022112082003152. https://resolver.caltech.edu/CaltechAUTHORS:SAFjfm82c
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Abstract
Solutions for interfacial waves of permanent form in the presence of a current wcre obtained for small-to-moderate wave amplitudes. A weakly nonlinear approximation was used to give simple analytical solutions to second order in wave height. Numerical methods were usctl to obtain solutions for larger wave amplitudes, details are reported for a number of selected cases. A special class of finite-amplitude solutions, closely related to the well-known Stokes surface waves, were identified. Factors limiting the existence of steady solutions are examined.
Item Type: | Article | |||||||||||||||
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Additional Information: | © 1982 Cambridge University Press. Received 16 November 1981 and in revised form 16 April 1982. This work was partially supported by the National Science Foundation and the Office of Naval Research. | |||||||||||||||
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DOI: | 10.1017/S0022112082003152 | |||||||||||||||
Record Number: | CaltechAUTHORS:SAFjfm82c | |||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SAFjfm82c | |||||||||||||||
Official Citation: | Saffman, P., & Yuen, H. (1982). Finite-amplitude interfacial waves in the presence of a current. Journal of Fluid Mechanics, 123, 459-476. doi:10.1017/S0022112082003152 | |||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
ID Code: | 10069 | |||||||||||||||
Collection: | CaltechAUTHORS | |||||||||||||||
Deposited By: | Archive Administrator | |||||||||||||||
Deposited On: | 09 Apr 2008 | |||||||||||||||
Last Modified: | 08 Nov 2021 21:04 |
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