Direct Simulation of Unsteady Capillary Gravity Waves on Deep Water

Yuki Kato, Masayuki Oikawa, Makoto Okamura

Research output: Contribution to journalArticle

Abstract

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
Volume65
Issue number7
DOIs
Publication statusPublished - Jan 1 1996

Fingerprint

deep water
gravity waves
simulation
ripples
sidebands
interfacial tension
disturbances
gravitation
slopes
harmonics
fluids

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Direct Simulation of Unsteady Capillary Gravity Waves on Deep Water. / Kato, Yuki; Oikawa, Masayuki; Okamura, Makoto.

In: journal of the physical society of japan, Vol. 65, No. 7, 01.01.1996, p. 2060-2067.

Research output: Contribution to journalArticle

@article{9192281fd81448bfb03f9737f59f851f,
title = "Direct Simulation of Unsteady Capillary Gravity Waves on Deep Water",
abstract = "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.",
author = "Yuki Kato and Masayuki Oikawa and Makoto Okamura",
year = "1996",
month = "1",
day = "1",
doi = "10.1143/JPSJ.65.2060",
language = "English",
volume = "65",
pages = "2060--2067",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "7",

}

TY - JOUR

T1 - Direct Simulation of Unsteady Capillary Gravity Waves on Deep Water

AU - Kato, Yuki

AU - Oikawa, Masayuki

AU - Okamura, Makoto

PY - 1996/1/1

Y1 - 1996/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030505762&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030505762&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.65.2060

DO - 10.1143/JPSJ.65.2060

M3 - Article

VL - 65

SP - 2060

EP - 2067

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 7

ER -