Abstract A 2-layer non-hydrostatic model with improved dispersive behaviour is presented. Due to the assumption of a constant non-hydrostatic pressure distribution in the lower layer, the dispersive behaviour is improved without much additional computational time. A comparison with linear wave theory showed that this 2-layer model gives a better result for the dispersion relation and shoaling of waves in intermediate water. This means that the 2-layer model is applicable in shallow and intermediate water depths (up to relative depths kh equals 4), whereas the 1-layer model is only applicable in shallow water depths (kh smaller than 1). Three laboratory experiments, including a fringing reef and a barred beach, were used to validate the presented mode for different hydrodynamic conditions. Based on these results, it can be concluded that the 2-layer model can be applied to accurately simulate the bulk wave height and spectral properties. The low frequency wave height, the setup and in particular the second order statistics contain more scatter, but the model accurately captured the general trend. Furthermore, the model showed good results for complex bathymetries in shallow to intermediate water.

中文翻译：

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具有精确色散行为的高效两层非静水波模型

摘要 提出了一种具有改进色散行为的 2 层非流体静力模型。由于下层中非静水压力分布恒定的假设，分散行为得到改善，无需太多额外的计算时间。与线性波浪理论的比较表明，这种 2 层模型对中间水中波浪的弥散关系和浅滩给出了更好的结果。这意味着2层模型适用于浅水和中等水深（最大相对深度kh等于4），而1层模型仅适用于浅水深（kh小于1）。三个实验室实验，包括一个边缘礁和一个禁止海滩，被用来验证不同水动力条件下的模式。基于这些结果，可以得出结论，2层模型可以用于准确模拟体波高和光谱特性。低频波高、设置，尤其是二阶统计数据包含更多的散射，但该模型准确地捕捉到了总体趋势。此外，该模型在浅水到中水的复杂水深测量中显示出良好的结果。