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This article is devoted to the modeling of three-dimensional currents for narrow shallow water systems like Kerch straight. Model, which is presented in this article, is based on previously constructed 3D discrete model which has used cell filling function and rectangular uniform grids. The effect of rising free surface function has been detected in narrowest part of straight in numerical modelling. The proposed discrete models remain stable at depth differences tens of times, which is an important factor for coastal systems. Also this approach may be applied for wave evolution prediction in narrow straits of complicated bottom relief and coastal line.

Mathematical modeling of 3D current flows for narrow shallow water bodies of complicated forms