Comments on “A Combined Derivation of the Integrated and Vertically Resolved, Coupled Wave–Current Equations”
Comments on “A Combined Derivation of the Integrated and Vertically Resolved, Coupled Wave–Current Equations”
复制标题
DOI：
10.1175/jpo-d-17-0065.1
复制
发表时间：
2017-09
影响因子：
3.5
通讯作者：
F. Ardhuin;Nobuhiro Suzuki;J. McWilliams;H. Aiki
中科院分区：
文献类型：
--
作者：
F. Ardhuin;Nobuhiro Suzuki;J. McWilliams;H. Aiki
波均流动量演化的几个等价方程已经被提出、实现和使用。相比之下，总动量方程，即海流和波动量之和，并没有被广泛使用，因为它需要一个不太实际的波浪强迫。梅洛尔对以前的推导进行了更新，提出了一种新的总动量方程的波强迫公式。在这里，作者表明这种推导错过了深度积分值为零的首序项。对这一遗漏进行修正后，波浪强迫与梅洛尔的第一篇论文中的波浪强迫是等价的。当这种波浪对海流的强迫作用近似时，它会导致不一致。本文最后重申并阐明了几种不同形式的纯水流动量方程的垂向积分与已知的从波浪动量方程中减去波浪动量方程得到的平均水流动量的深度积分方程是一致的。
AbstractSeveral equivalent equations for the evolution of the wave-averaged current momentum have been proposed, implemented, and used. In contrast, the equation for the total momentum, which is the sum of the current and wave momenta, has not been widely used because it requires a less practical wave forcing. In an update on previous derivations, Mellor proposed a new formulation of the wave forcing for the total momentum equation. Here, the authors show that this derivation misses a leading-order term that has a zero depth-integrated value. Corrected for this omission, the wave forcing is equivalent to that in the first paper by Mellor. When this wave forcing effect on the currents is approximated it leads to an inconsistency. This study finally repeats and clarifies that the vertical integration of several various forms of the current-only momentum equations are consistent with the known depth-integrated equations for the mean flow momentum obtained by subtracting the wave momentum equation from the to...