TY - GEN
T1 - Modulation instability of waves in the presence of current
AU - Shugan, I. V.
AU - Hwung, H. H.
AU - Yang, R. Y.
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
AN - SCOPUS:84883730023
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
T2 - 23rd International Offshore and Polar Engineering Conference, ISOPE 2013
Y2 - 30 June 2013 through 5 July 2013
ER -