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• W2320941749 abstract "Abstract We consider linear waves propagating over periodic topographies of arbitrary amplitude and wave form, generalizing the method in Howard & Yu ( J. Fluid Mech. , vol. 593, 2007, pp. 209–234). By a judicious construction of a conformal map from the flow domain to a uniform strip, exact solutions of Floquet type can be developed in the mapped plane. These Floquet solutions, in an essentially analytical form, are analogous to the complete set of flat-bottom propagating and evanescent waves. Therefore they can be used as a basis for the solutions of boundary value problems involving a wavy topography with a constant mean water depth. Various concrete examples are given and quantitative results are discussed. Comparisons with experimental data are made, and qualitative agreement is achieved." @default.
• W2320941749 created "2016-06-24" @default.
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• W2320941749 date "2012-09-28" @default.
• W2320941749 modified "2023-10-01" @default.
• W2320941749 title "Exact Floquet theory for waves over arbitrary periodic topographies" @default.
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• W2320941749 doi "https://doi.org/10.1017/jfm.2012.432" @default.
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