It is known that the wind stress coefficient on sea surface is a key parameter in modeling ocean waves and depends on the wave condition at the same time, while an ocean wave condition is affected not only by the wind speed over the sea surface but also on the water depth in general. Investigating the effect of water depth on wind stress coefficient is thus of great importance for an accurate wave modeling in shallow waters. In this study, the atmospheric wave boundary layer model is enhanced by considering the effects of water depth on the wind wave spectrum and on the sea spray generation law so that the wind stress can be obtained under more general conditions. In particular, the high-frequency wave spectrum tail is improved by considering the effect of triad wave interaction in shallow waters. A sea spray generation law is developed by including dissipations due to both whitecaps and depth-induced breaking. Numerical results on the wind stress coefficient at different water depth can thus be obtained in good agreement with field observations. A simple formula is also proposed and is applied to modeling hurricane-induced waves on Lake Michigan. The computational results on significant wave heights show that the newly developed method for evaluating wind stress coefficient improves the performance of wave models in finite water depth.

众所周知，海面风应力系数是海浪建模的关键参数，同时取决于海浪状况，而海浪状况不仅受海面风速的影响，还受海面风速的影响。水深一般。因此，研究水深对风应力系数的影响对于在浅水中进行精确的波浪建模非常重要。本研究通过考虑水深对风波谱和海浪产生规律的影响，增强大气波边界层模型，从而获得更一般条件下的风应力。特别是考虑到浅水三合一波相互作用的影响，对高频波谱尾进行了改进。通过包括由于白浪和深度引起的破裂引起的耗散，制定了海浪生成定律。从而可以得到不同水深下风应力系数的数值结果，与野外观测结果吻合较好。还提出了一个简单的公式，并将其应用于模拟密歇根湖上飓风引起的波浪。显着波高的计算结果表明，新开发的风应力系数评估方法提高了波浪模型在有限水深下的性能。