Direct Simulation of Unsteady Capillary Gravity Waves on Deep Water

Yuki Kato, Masayuki Oikawa, Makoto Okamura

Research output: Contribution to journalArticlepeer-review


Fully nonlinear time evolution of periodic capillary gravity waves on an inviscid fluid of infinite depth is investigated numerically. The cases where the effect of surface tension is weaker than that of gravity are considered. It is found that the weakly resonant symmetric steady waves are unstable to two kinds of disturbances: the sidebands and the higher harmonics. Ripples are generated within a time of a few periods. They first appear at the point with the greatest slope on the forward face of the highest crest of the disturbed steady waves.

Original languageEnglish
Pages (from-to)2060-2067
Number of pages8
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - 1996

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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