Revisiting linearized one-dimensional tidal propagation
Revisiting linearized one-dimensional tidal propagation
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DOI：
10.1029/2010jc006616
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发表时间：
2011-07
影响因子：
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通讯作者：
M. Toffolon;H. Savenije
中科院分区：
文献类型：
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作者：
M. Toffolon;H. Savenije
本文扩展了潮汐流体动力学经典线性解的有效性，包括宽度和深度收敛的影响。根据外部定义的无量纲参数对这种解决方案进行重新加工，我们能够提供简单的关系来预测河口潮汐波的最相关特征（速度振幅，相位滞后，波长和阻尼），并重现潮汐波沿有限和无限长度通道传播的主要动力学。我们还强调需要通过利用迭代过程来精确处理线性化的河床剪切应力，并且我们展示了通过将整个河口细分为更短的河段可以达到的改进。将不同版本的解析解与数值结果进行了比较，突出了线性模型的优缺点。
In this paper we extend the validity of the classical linear solution for tidal hydrodynamics including the effects of width and depth convergence. Reworking such a solution in the light of externally defined, dimensionless parameters we are able to provide simple relationships to predict the most relevant features of the tidal wave at the estuary mouth (velocity amplitude, phase lag, wavelength, and damping) and to reproduce the main dynamics of tidal wave propagation along finite and infinite length channels. We also highlight the need for an accurate treatment of the linearized bed shear stress by exploiting an iterative procedure, and we show the improvement that can be reached by subdividing the entire estuary in shorter reaches. Different versions of the analytical solution are compared with numerical results, highlighting the strengths and weaknesses of the linear model.