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Mathematical model of tidal water transport by a partial blockage of a coastal lagoon

机译：沿海泻湖部分阻塞的潮汐水运移数学模型

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In this paper, an analysis is done on the tidally forced dynamical behavior of a partially blocked coastal lagoon. A non-linear differential equation has been deduced for the evolution of the water depth in the blocked part of the lagoon as a function of the tidally driven water depth in the ocean connected part. This dynamical problem depends on two nondimensional parameters: the relative amplitude of tidal wave and the non-dimensional tidal period (related to the filling time of the blocked part). For very small values of the relative amplitude of the tidal wave, the problem depends only on one parameter. The evolution equation is numerically solved for a wide range in the parametric space, obtaining the relative amplitude of the water depth oscillations in the blocked part, its phase lag and the mean water depth behind the bridges. The specific case of the Chelem lagoon has been studied, which has been divided by a road with only two small bridges. Water flows from the open ocean-connected part of the lagoon to the enclosed part only through the bridges. The analysis shows the response if a new bridge is built or one of the actual bridges is removed. (C) 2018 Elsevier Inc. All rights reserved.
机译：在本文中，对部分阻塞的沿海泻湖的潮汐动力行为进行了分析。推导了一个非线性微分方程，用于泻湖阻塞部分的水深演变，这是海洋相连部分潮汐驱动水深的函数。该动力学问题取决于两个无量纲的参数：潮汐波的相对振幅和无量纲的潮汐周期（与阻塞部分的填充时间有关）。对于非常小的潮汐相对振幅值，问题仅取决于一个参数。在参数空间中的大范围内对求解方程进行数值求解，获得阻塞部分中水深振荡的相对幅度，其相位滞后和桥后的平均水深。已经研究了Chelem泻湖的特殊情况，该情况被一条只有两座小桥的道路分开。水仅通过桥梁从泻湖的开放海洋连接部分流向封闭部分。分析显示了如果建造新桥或删除实际桥之一的响应。 （C）2018 Elsevier Inc.保留所有权利。

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