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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i3.80
10 pages

Two-dimensional Models of Planar Transformation of Waves in Liquid of Variable Depth

V. V. Yakovlev
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRAKT

On the basis of the Galerkin procedure of the non-wave coordinate elimination the technique of the construction of quasi-three-dimensional models of wave transformation for the fluid of the finite variable depth is developed. Using the technique the initial three-dimensional linear problem is reduced to the solving of the system of N two-dimensional in plan partial equations. Specifically for N = 1 the wave transformation equations for small and rather large bottom gradients were obtained; previously they were deduced by Berkhoff and the author using the depth-averaging method. It is shown that the introduction of the weight function into the Galerkin procedure permits to improve reasonably the range of approximation of the simplified model to the physically valid results.


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