Three weakly nonlinear but fully dispersive Whitham–Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerical solutions of all three are compared with wave gauge measurements from a series of laboratory experiments conducted by Dingemans (Comparison of computations with Boussinesq-like models and laboratory measurements. Delft Hydraulics memo H168412, 1994). The results show that although the models are mathematically similar, their accuracy varies dramatically.

中文翻译：

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具有不均匀测深的全分散Boussinesq模型

研究了三个不完全非线性但完全分散的Whitham-Boussinesq系统，用于不均匀的测深。介绍了一种系统的推导和离散化。将这三种方法的数值解与由Dingemans进行的一系列实验室实验（与Boussinesq型模型的计算和实验室测量的比较）的波表测量进行比较。DelftHydraulics备忘录H168412，1994年。结果表明，尽管模型在数学上相似，但其准确性却存在巨大差异。