Vindication of mode-coupled descriptions of multiple-scale water wave fields-Reference-Cited by-同舟云学术

Vindication of mode-coupled descriptions of multiple-scale water wave fields

Published:1988-11 Issue: Volume:196 Page:585-592
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Brueckner Keith A.,West Bruce J.

Abstract

Herein we show that the modal description of deep-water waves on the sea surface Watson & West 1975) is independent of any reference surface around which expansions of the velocity potential and the surface velocity are done. We demonstrate by direct construction that the interaction between long and short waves does not lead to divergent terms in the equations of motion when this formalism is used.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference7 articles.

1. Hasselmann, K. 1963a On the non-linear energy transfer in a gravity wave spectrum. Part 2. Conservations theorems, wave-particle correspondence, irreversibility.J. Fluid Mech. 15,237–281.

2. Hasselmann, K. 1963b On the non-linear energy transfer in a gravity-wave spectrum. Part 3. Evaluation of the energy flux and swell–sea interaction for a Newmann spectrum.J. Fluid Mech. 15,385–398.

3. Hasselmann, K. 1962 On the non-linear energy transfer in a gravity-wave spectrum. Part 1. General theory.J. Fluid Mech,12,481–500.

4. Holliday, D. 1977 On nonlinear interactions in a spectrum of inviscid gravity–capillary surface waves.J. Fluid Mech. 83,737–749.

5. West, B. J. , Brueckner, K. A. , Janda, R. S. , Milder, D. M. & Milton, R. L. 1987 A new numerical method for surface hydrodynamics.J. Geophys. Res. 92,11803–11824.

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