Modulation instability of waves in the presence of current

I. V. Shugan, H. H. Hwung, R. Y. Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish
Title of host publicationProceedings of the 23rd International Offshore and Polar Engineering Conference, ISOPE 2013
Number of pages9
Publication statusPublished - 2013
Event23rd International Offshore and Polar Engineering Conference, ISOPE 2013 - Anchorage, AK, United States
Duration: 2013 Jun 302013 Jul 5

Publication series

NameProceedings of the International Offshore and Polar Engineering Conference
ISSN (Print)1098-6189
ISSN (Electronic)1555-1792


Other23rd International Offshore and Polar Engineering Conference, ISOPE 2013
Country/TerritoryUnited States
CityAnchorage, AK

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Ocean Engineering
  • Mechanical Engineering


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