Water-wave trapping by floating circular cylinders

R Porter, DV Evans

Research output: Contribution to journalArticle (Academic Journal)peer-review

19 Citations (Scopus)


Under the assumptions of the linearized theory of small-amplitude water waves, it is proved that plane waves, normally incident upon a semi-immersed cylinder of uniform circular cross-section floating freely on the surface of a fluid of infinite depth, are capable of being totally reflected. Numerically, this is shown to occur at a single non-dimensional frequency. This remarkable result is used to construct examples of motion-trapped modes, involving pairs of freely floating cylinders moving either in phase or out of phase. The former case is equivalent to having a motion-trapped mode for a single such cylinder next to a rigid vertical wall. In the latter out-of-phase case, the pair of cylinders move as if they form the wetted sections of a single rigidly connected catamaran structure.
Translated title of the contributionWater-wave trapping by floating circular cylinders
Original languageEnglish
Pages (from-to)311 - 325
Number of pages15
JournalJournal of Fluid Mechanics
Publication statusPublished - Aug 2009


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