Journal of Fluid Mechanics

Interaction of water waves with two closely spaced vertical obstacles

J. N.  Newman a1
a1 School of Mechanical and Industrial Engineering, University of New South Wales, Sydney 1

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Two-dimensional waves are incident upon a pair of vertical flat plates intersecting the free surface in a fluid of infinite depth. An asymptotic theory is developed for the resulting wave reflexion and transmission, assuming that the separation between the plates is small. The fluid motion between the plates is a uniform vertical oscillation, matched to the outer wave field by a local flow at the opening beneath the plates. It is shown that the reflexion and transmission coefficients undergo rapid changes, ranging from complete reflexion to complete transmission, in the vicinity of a critical wavenumber where the fluid column between the obstacles is resonant.

(Published Online March 29 2006)
(Received December 15 1973)


1 Permanent address: Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.