Abstract
The model of wave's resonances in the presence of the variable current is presented. In spite of numerous numbers of papers devoting to the analysis of the wave and wave-current interactions phenomena, some of extremely strong effects like wave's overpass the adverse current blocking barrier observed in experiments are still waiting for its clear theoretical description. Our analysis shows that the Benjamin-Feir instability of Stokes waves can be strongly modified by the following or adverse horizontal subsurface current. Three wave's resonance system in a no uniform media gives rise to the modulation instability with some special properties. Interaction with countercurrent accelerates the growing of side band modes on a much shorter space scales. On the other side, wave instability on the following current is sharply depressed. The dissipation due to wave breaking gives the asymmetry of side bands modes and frequency downshifting. We theoretically describe the explosion instability of waves on the adverse blocking current and corresponding frequency downshifting. Waves can be blocked only partly and overpass the opposite current barrier at the lower side band resonance frequency.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 23rd International Offshore and Polar Engineering Conference, ISOPE 2013 |
| Pages | 1090-1098 |
| Number of pages | 9 |
| Publication status | Published - 2013 Sep 16 |
| Event | 23rd International Offshore and Polar Engineering Conference, ISOPE 2013 - Anchorage, AK, United States Duration: 2013 Jun 30 → 2013 Jul 5 |
Publication series
| Name | Proceedings of the International Offshore and Polar Engineering Conference |
|---|---|
| ISSN (Print) | 1098-6189 |
| ISSN (Electronic) | 1555-1792 |
Other
| Other | 23rd International Offshore and Polar Engineering Conference, ISOPE 2013 |
|---|---|
| Country | United States |
| City | Anchorage, AK |
| Period | 13-06-30 → 13-07-05 |
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All Science Journal Classification (ASJC) codes
- Energy Engineering and Power Technology
- Ocean Engineering
- Mechanical Engineering
Cite this
}
Modulation instability of waves in the presence of current. / Shugan, I. V.; Hwung, H. H.; Yang, Ray-Yeng.
Proceedings of the 23rd International Offshore and Polar Engineering Conference, ISOPE 2013. 2013. p. 1090-1098 (Proceedings of the International Offshore and Polar Engineering Conference).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Modulation instability of waves in the presence of current
AU - Shugan, I. V.
AU - Hwung, H. H.
AU - Yang, Ray-Yeng
PY - 2013/9/16
Y1 - 2013/9/16
N2 - The model of wave's resonances in the presence of the variable current is presented. In spite of numerous numbers of papers devoting to the analysis of the wave and wave-current interactions phenomena, some of extremely strong effects like wave's overpass the adverse current blocking barrier observed in experiments are still waiting for its clear theoretical description. Our analysis shows that the Benjamin-Feir instability of Stokes waves can be strongly modified by the following or adverse horizontal subsurface current. Three wave's resonance system in a no uniform media gives rise to the modulation instability with some special properties. Interaction with countercurrent accelerates the growing of side band modes on a much shorter space scales. On the other side, wave instability on the following current is sharply depressed. The dissipation due to wave breaking gives the asymmetry of side bands modes and frequency downshifting. We theoretically describe the explosion instability of waves on the adverse blocking current and corresponding frequency downshifting. Waves can be blocked only partly and overpass the opposite current barrier at the lower side band resonance frequency.
AB - The model of wave's resonances in the presence of the variable current is presented. In spite of numerous numbers of papers devoting to the analysis of the wave and wave-current interactions phenomena, some of extremely strong effects like wave's overpass the adverse current blocking barrier observed in experiments are still waiting for its clear theoretical description. Our analysis shows that the Benjamin-Feir instability of Stokes waves can be strongly modified by the following or adverse horizontal subsurface current. Three wave's resonance system in a no uniform media gives rise to the modulation instability with some special properties. Interaction with countercurrent accelerates the growing of side band modes on a much shorter space scales. On the other side, wave instability on the following current is sharply depressed. The dissipation due to wave breaking gives the asymmetry of side bands modes and frequency downshifting. We theoretically describe the explosion instability of waves on the adverse blocking current and corresponding frequency downshifting. Waves can be blocked only partly and overpass the opposite current barrier at the lower side band resonance frequency.
UR - http://www.scopus.com/inward/record.url?scp=84883730023&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84883730023&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9781880653999
T3 - Proceedings of the International Offshore and Polar Engineering Conference
SP - 1090
EP - 1098
BT - Proceedings of the 23rd International Offshore and Polar Engineering Conference, ISOPE 2013
ER -