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Frequency downshift in three-dimensional wave trains in a deep basin

Published online by Cambridge University Press:  10 December 1997

KARSTEN TRULSEN and
KRISTIAN B. DYSTHE
KARSTEN TRULSEN
Affiliation:
Department of Mathematics, University of Bergen, Johannes Brunsgate 12, N–5008 Bergen, Norway
KRISTIAN B. DYSTHE
Affiliation:
Department of Mathematics, University of Bergen, Johannes Brunsgate 12, N–5008 Bergen, Norway
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Abstract

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The conservative evolution of weakly nonlinear narrow-banded gravity waves in deep water is investigated numerically with a modified nonlinear Schrödinger equation, for application to wide wave tanks. When the evolution is constrained to two dimensions, no permanent shift of the peak of the spectrum is observed. In three dimensions, allowing for oblique sideband perturbations, the peak of the spectrum is permanently downshifted. Dissipation or wave breaking may therefore not be necessary to produce a permanent downshift. The emergence of a standing wave across the tank is also predicted.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 352 , 10 December 1997, pp. 359 - 373
Copyright
© 1997 Cambridge University Press