Maximum wave steepness and instabilities of finite-amplitude standing gravity waves
- 1 May 1987
- journal article
- Published by IOP Publishing in Fluid Dynamics Research
- Vol. 1 (3-4) , 201-214
- https://doi.org/10.1016/0169-5983(87)90005-0
Abstract
We consider the profile of two-dimensional standing gravity waves and their linear stabilities. We have obtained the result that the maximum wave steepness is 0.61. The instability with maximum growth rate is three-dimensional for the wave steepness 0.1. Instabilities due to the four-wave resonance occur but those due to the five-wave resonance are not found for wave steepness smaller than 0.15.Keywords
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