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The non-linear evolution of Stokes waves in deep water

Published online by Cambridge University Press:  29 March 2006

Vincent H. Chu  and
Chiang C. Mei
Vincent H. Chu
Affiliation:
Parsons Laboratory for Water Resources and Hydrodynamics Massachusetts Institute of Technology Present address: Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada
Chiang C. Mei
Affiliation:
Parsons Laboratory for Water Resources and Hydrodynamics Massachusetts Institute of Technology
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Abstract

Based on a set of modulation equations derived in a previous paper, the nonlinear evolution of wave envelope in deep water is studied numerically. It is found that the wave envelope tends to disintegrate to multiple groups of waves each of which approaches a stable permanent envelope representing dynamical equilibrium between the amplitude dispersion and the frequency dispersion. Qualitative agreement with the experimental measurements of Feir (1967) is also observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 47 , Issue 2 , 31 May 1971 , pp. 337 - 351
Copyright
© 1971 Cambridge University Press

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