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- W2016522172 abstract "This paper treats the problem in linearized water wave theory that arises when a wave travels across a submerged cylinder. This problem is classical and was first treated by Dean. The solution presented is novel and explicit. This is achieved through the use of certain recursive relations. The basic results are of course the same as in the older literature: (1) the coefficient of reflection is zero; (2) the only effect of the cylinder, is a phase shift relative to the undisturbed wave. However, the practical computation of the velocity potential and the phase shift is reduced almost to hand calculations. This is in contrast to the older literature which requires, in principle, the inversion of an infinite matrix. The work is motivated by the Institue's efforts to focus water waves. Cylinders are possible bodies to create the necessary phase shifts to achieve such focusing." @default.
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- W2016522172 date "1980-10-01" @default.
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- W2016522172 title "A circular cylinder in water waves" @default.
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- W2016522172 doi "https://doi.org/10.1016/0141-1187(80)90015-2" @default.
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