Abstract

The effect of the horizontal dimensions of inland water bodies (lakes and reservoirs) on the vertical mixing processes is studied. We consider a three-dimensional hydrostatic model and a one-dimensional LAKE model based on the averaging of three-dimensional equations over a horizontal section of the water body. The processes of vertical mixing in both models were simulated with the use of k–ε-closure. LAKE model takes into account the seiches through the parameterization of the pressure gradient and horizontal viscosity. The models were verified against the Kato-Phillips experiment data, and a series of numerical experiments was carried out to demonstrate the effect of the horizontal size of the water body on mixed-layer depth. It is shown that the horizontal dimensions of a water body has to be taken into account in the simulation of the vertical temperature distribution in lakes and reservoirs with the size much less than the internal Rossby deformation radius.

中文翻译：

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内陆水体水平尺寸对上混合层厚度的影响

摘要

研究了内陆水体（湖泊和水库）的水平尺寸对垂直混合过程的影响。我们基于水体水平截面上三维方程的平均值，考虑了三维静水模型和一维LAKE模型。两种模型中的垂直混合过程均使用k–ε闭包。LAKE模型通过压力梯度和水平粘度的参数化考虑了塞歇斯现象。根据Kato-Phillips实验数据对模型进行了验证，并进行了一系列数值实验，以证明水体的水平尺寸对混合层深度的影响。结果表明，在模拟湖泊和水库的垂直温度分布时，必须考虑水体的水平尺寸，其尺寸远小于内部Rossby变形半径。