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Modelling of periodic wave transformation in the inner surf zone

机译:内海浪区域中周期波变换的建模

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In this paper, we analyse the ability of the nonlinear shallow-water (NSW) equations to predict wave distortion and energy dissipation of periodic broken waves in the inner surf zone. This analysis is based on the weak-solution theory for conservative equations. We derive a new one-way model, which applies to the transformation of non-reflective periodic broken waves on gently sloping beaches. This model can be useful to develop breaking-wave parameterizations (in particular broken-wave celerity expression) in both time-averaged wave models and time-dependent Boussinesq-type models. We also derive a new wave set-up equation which provides a simple and explicit relation between wave set-up and energy dissipation. Finally, we compare numerical simulations of both, the NSW model and the simplified one-way model, with spilling wave breaking experiments and we find a good agreement.
机译:在本文中,我们分析了非线性浅水(NSW)方程预测内部冲浪区中周期性破碎波的畸变和能量耗散的能力。该分析基于保守方程的弱解理论。我们推导了一种新的单向模型,该模型适用于在缓坡海滩上非反射性周期性破碎波的转换。该模型对于在平均时间波模型和与时间相关的Boussinesq型模型中开发破波参数化(尤其是破波速度表达)可能很有用。我们还导出了一个新的波建立方程,该方程提供了波建立和能量耗散之间的简单明确关系。最后,我们将新南威尔士州模型和简化的单向模型两者的数值模拟与溢流破波实验进行了比较,发现了很好的一致性。

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