The scattering of a continental shelf wave by a semi-infinite barrier located along the outer edge of a step shelf

Details The scattering of a continental shelf wave by a semi-infinite barrier located along the outer edge of a step shelf The scattering of a continental shelf wave by a semi-infinite barrier located along the outer edge of a step shelf

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gapfd..28..257h&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 28, Issue 3, pp.257-276

Physics

Fluid Dynamics

1

Scientific paper

On a step shelf, the scattering of an incident shelf wave by a semi-infinitely long, thin barrier located along the outer edge of the shelf is solved using an approximate Wiener-Hopf technique. Within the flat channel enclosed by the barrier, the incoming energy flux from the first mode shelf wave is essentially all transferred to the zeroth channel mode, which corresponds to the Kelvin wave modified by the rigid lid approximation. Other evanescent modes are excited, but all decay rapidly with distance. The problem is relevant to the diffraction of long period waves by a long thin island, or a chain of islands or coral reefs, which fringe a continental shelf.

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