Trapping of water waves by pairs of submerged cylinders

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

22 Citations (Scopus)


This paper provides strong numerical evidence for the existence of two-dimensional trapped waves supported by a symmetrically arranged pair of submerged cylinders with a particular form of cross-section. Wide-spacing arguments applied to single submerged obstacles exhibiting zeros of transmission are used as the basis for seeking trapped waves. The integral equation technique developed for the scattering by arbitrary submerged obstacles in Porter (2001) is extended for this problem, and it is shown how trapped waves correspond to the point of intersection of two independently computed curves. Results are given for a variety of symmetrical pairs of submerged obstacles.
Translated title of the contributionTrapping of water waves by pairs of submerged cylinders
Original languageEnglish
Pages (from-to)607 - 624
Number of pages18
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume458 (2019)
Publication statusPublished - Mar 2002

Bibliographical note

Publisher: Royal Society London
Other identifier: IDS number 535NF


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