Abstract
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.
Highlights
The article deals with the mathematical modeling of three-dimensional currents for narrow shallow water bodies of complex shape
In contrast to known ones, with significant depth differences, which is an important factor for coastal systems
We introduce the coefficients q0, q1, q2, q3, q4, q5, q6, describing volume of fluid (VOF) of regions located in the vicinity of the cell
Summary
The article deals with the mathematical modeling of three-dimensional currents for narrow shallow water bodies of complex shape. The assumed effect of the free surface elevation function in the narrowest part of the computational domain was confirmed by numerical simulation. To describe wave processes in shallow water bodies, a system of Navier-Stokes equations is used, which includes three equations of motion in areas with dynamically changing geometry of the computational domain. Software has been developed that makes it possible to predict three-dimensional currents in narrow places of shallow water bodies of complex shape, such as the Azov Sea, including the Kerch Strait, where it is possible to increase the amplitude of the free surface rise function due to the narrowing and difference in depths
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