Maximum wave steepness and instabilities of finite-amplitude standing gravity waves

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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.

Original languageEnglish
Pages (from-to)201-214
Number of pages14
JournalFluid Dynamics Research
Volume1
Issue number3-4
DOIs
Publication statusPublished - May 1987

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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