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 language | English |
|---|---|
| Pages (from-to) | 2060-2067 |
| Number of pages | 8 |
| Journal | journal of the physical society of japan |
| Volume | 65 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jan 1 1996 |
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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 journal › Article
}
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
AN - SCOPUS:0030505762
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 -