V.V.Yakovlev Two-dimensional models of the plan wave transformation in the liquid of variable depth |
Applied hydromechanics, Vol. 2 (74) ¹ 4, (2000) |
| On the basis of the Galyorkin 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 Galyorkin procedure permits to improve reasonably the range of approximation of the simplified model to the physically valid results. |
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KEY WORDS: *** |
| TEXT LANGUAGE: Russian |