A new theoretical model is derived to predict wave attenuation in an emerged vegetation domain under current influences by considering the current effects on changing both wave group velocity and energy dissipation rate. Considering the current effect on changing wave group velocity, the theory predicts an asymmetric behavior of wave decay in following and opposing currents, different from the earlier theory that predicts a symmetry decay behavior by ignoring the current effect on wave group velocity. The new theory dictates that as the current speed increases, the rate of wave decay changes from the traditionally reciprocal law to the exponential law, where the mixed exponential and reciprocal decay law exists under intermediate current conditions. Furthermore, the present theory can be reduced to an explicit expression of the drag coefficient for weak and strong current conditions. In addition, the theory shows that the decay rate depends on both incident wave amplitude and current velocity when the current velocity is relatively small to wave orbital velocity, whereas it is independent of incident wave amplitude when the current is strong. All of these wave decaying characteristics predicted by the theory have been confirmed by the available experimental data and the numerical results from a 2D RANS model (NEWFLUME).

中文翻译：

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考虑电流效应的植被波衰减理论模型

通过考虑海流对波群速度和能量耗散率变化的影响，推导了一种新的理论模型，用于预测海流影响下出现的植被域中的波衰减。考虑到水流对变化的波群速度的影响，该理论预测了顺流和逆流中波衰减的不对称行为，这与早期通过忽略水流对波群速度的影响来预测对称衰减行为的理论不同。新理论表明，随着海流速度的增加，波的衰减速率从传统的倒数定律转变为指数定律，其中在中间电流条件下存在混合指数和倒数衰减定律。此外，本理论可以简化为弱流和强流条件下阻力系数的显式表达式。此外，理论表明，当海流速度相对于波轨道速度较小时，衰减率同时取决于入射波振幅和海流速度；而当电流较强时，衰减率与入射波振幅无关。理论预测的所有这些波衰减特性均已被可用的实验数据和 2D RANS 模型 (NEWFLUME) 的数值结果所证实。