Bragg interactions of a cnoidal wave with rigid bottom ripples

Chii-Jau Tang, Tzu Chiang Lee

研究成果: Conference contribution

摘要

The article presents the numerical study on the Bragg resonances of the cnoidal wave with rigid ripples on a mean flat bottom. With the application of a general laminar flow model for nonlinear wave problems (Lee and Tang, 2009), we are able to study the possible strong reflection of the cnoidal wave from rigid ripples with certain tuned spacing around the condition of Bragg resonances. In this study, we consider the weakly-nonlinear, weakly-dispersive, cnoidal waves under the viscous action of the periodic finite-amplitude ripples. The competing orders of magnitude among effects of wave nonlinearity and dispersion on the slowly evolving free surface, viscosity on the induced vortical flow near the uneven bottom, and the tuned ripple spacing on reflected wave-seabed resonances all together makes complicated interaction between the free surface and the ripple bottom. We also employ the phase plot in nonlinear dynamic theory to describe the qualitative nature of wave interaction. The detailed interferential pattern obtained from the intersected crest-lines of the incident and reflected waves is illustrated clearly during Bragg resonances.

原文English
主出版物標題Proceedings of the 20th (2010) International Offshore and Polar Engineering Conference, ISOPE-2010
頁面787-794
頁數8
出版狀態Published - 2010 九月 10
事件20th International Offshore and Polar Engineering Conference, ISOPE-2010 - Beijing, China
持續時間: 2010 六月 202010 六月 25

出版系列

名字Proceedings of the International Offshore and Polar Engineering Conference
3
ISSN(列印)1098-6189
ISSN(電子)1555-1792

Other

Other20th International Offshore and Polar Engineering Conference, ISOPE-2010
國家/地區China
城市Beijing
期間10-06-2010-06-25

All Science Journal Classification (ASJC) codes

  • 能源工程與電力技術
  • 海洋工程
  • 機械工業

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