发表机构
University of Vienna; Leibniz Universität Hannover（维也纳大学; 汉诺威莱布尼茨大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究指出风驱动海洋流分析中中深度无应力边界条件会产生非物理流剖面，结合WKB近似论证深海无滑移条件仍可使埃克曼输送与风应力近似正交，纠正了相关边界条件的错误假设。
AI 中文摘要
我们证明，在风驱动海洋流分析中，假设有限中间深度（即埃克曼层底部）处存在无应力边界条件，必然会导致非物理的流剖面。实际上，若流体速度的z导数在某一深度消失，则该深度必然对应流剖面的极小值，且速度在其下方增大。利用基于深海海水密度小变化的WKB近似，我们还论证，若海洋底部足够深，无滑移条件仍会（误差极小）意味着埃克曼输送与风应力正交。
英文摘要
We show that the assumption of a stress-free boundary condition at a finite intermediate depth, namely, at the bottom of the Ekman layer, in the analysis of wind-driven ocean flows necessarily leads to an unphysical current profile. Indeed, if the $z$-derivative of the fluid velocity vanishes at a given depth, then this depth necessarily corresponds to a minimum of the velocity profile, with the velocity increasing beneath it. Using a WKB ansatz based on the small variations of the ocean's water density at great depths, we also argue that a no-slip condition at the bottom of the ocean, if sufficiently deep, still effectively implies (up to a very small error) the orthogonality of the Ekman transport and the wind-stress.
Comments11 pages, 4 figures
