Nonlinear oblique interaction of large amplitude internal solitary waves

Keisuke Nakayama, Taro Kakinuma, Hidekazu Tsuji, Masayuki Oikawa

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

Abstract

Solitary waves are typical nonlinear long waves in the ocean. The two-dimensional interaction of solitary waves has been shown to be essentially different from the one-dimensional case and can be related to generation of large amplitude waves (including 'freak waves'). Concerning surface-water waves, Miles (1977) theoretically analyzed interaction of three solitary waves, which is called "resonant interaction" because of the relation among parameters of each wave. Weakly-nonlinear numerical study (Funakoshi, 1980) and fully-nonlinear one (Tanaka, 1993) both clarified the formation of large amplitude wave due to the interaction ("stem" wave) at the wall and its dependency of incident angle. For the case of internal waves, analyses using weakly nonlinear model equations (e.g. Tsuji and Oikawa, 2006) suggest also qualitatively similar results. Therefore, the aim of this study is to investigate the strongly nonlinear interaction of internal solitary waves; especially whether the resonant behavior is found or not. As a result, it is found that the amplified internal wave amplitude becomes about three times as much as the original amplitude. In contrast, a "stem" is not found to occur when the incident wave angle is more than the critical angle, which has been demonstrated in the previous studies.

Original languageEnglish
Title of host publicationProceedings of the 33rd International Conference on Coastal Engineering 2012, ICCE 2012
PublisherAmerican Society of Civil Engineers (ASCE)
ISBN (Print)9780989661119
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event33rd International Conference on Coastal Engineering 2012, ICCE 2012 - Santander, Spain
Duration: Jul 1 2012Jul 6 2012

Publication series

NameProceedings of the Coastal Engineering Conference
ISSN (Print)0161-3782

Other

Other33rd International Conference on Coastal Engineering 2012, ICCE 2012
CountrySpain
CitySantander
Period7/1/127/6/12

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Ocean Engineering
  • Oceanography

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