Abstract

The paper describes a two-layer model of substance transport in waterbodies, in which relatively deep regions exist together with large shallow-water regions. The model combines hydrodynamic and transport components. Equations with corresponding boundary conditions are given. The problem is solved using finite-difference methods on a uniform rectangular grid. Model examples of solid runoff transport from branches of the Don River to Taganrog Bay of the Sea of Azov are considered. The proposed approach can significantly reduce the number of unknowns when solving systems of linear algebraic equations.

中文翻译：

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高深度变化水体中物质迁移的两层模型

摘要

本文描述了水体中物质传输的两层模型，其中相对较深的区域与较大的浅水区域同时存在。该模型结合了流体动力和运输要素。给出了具有相应边界条件的方程。通过在均匀矩形网格上使用有限差分方法解决了该问题。考虑了从顿河支流到亚速海的塔甘罗格湾的固体径流运输的模型实例。当求解线性代数方程组时，该方法可以显着减少未知数。