Ekman Theory with Damping

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Wu, Jiacheng, Liu, Yonggang, Huang, Rui Xin, Xie, Jinhan, Wang, Zhaoying, Zhang, Shaoqing
Format: Preprint
Published: 2025
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866915272995110912
author Wu, Jiacheng
Liu, Yonggang
Huang, Rui Xin
Xie, Jinhan
Wang, Zhaoying
Zhang, Shaoqing
author_facet Wu, Jiacheng
Liu, Yonggang
Huang, Rui Xin
Xie, Jinhan
Wang, Zhaoying
Zhang, Shaoqing
contents The observed Ekman spirals in the ocean are always "flatter" than that predicted by the classic theory. We propose that the universal flattening of Ekman spiral is mainly due to the damping associated with turbulent dissipation. Analytical solutions and numerical simulations show convincingly a better fitting between the new theory and observations. Most importantly, the new theory indicates that the damping can lead to weakened Ekman transport and pumping, with the latter not only driven by the curl but also the divergence of wind stress. Under a modest damping, the Ekman transport along 26.5°N will be ~0.4 Sv (12%) smaller than that predicted by the classic theory. Hence, the damping due to turbulent dissipation can noticeably affect the wind-driven circulation in the upper ocean.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02068
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ekman Theory with Damping
Wu, Jiacheng
Liu, Yonggang
Huang, Rui Xin
Xie, Jinhan
Wang, Zhaoying
Zhang, Shaoqing
Atmospheric and Oceanic Physics
Geophysics
The observed Ekman spirals in the ocean are always "flatter" than that predicted by the classic theory. We propose that the universal flattening of Ekman spiral is mainly due to the damping associated with turbulent dissipation. Analytical solutions and numerical simulations show convincingly a better fitting between the new theory and observations. Most importantly, the new theory indicates that the damping can lead to weakened Ekman transport and pumping, with the latter not only driven by the curl but also the divergence of wind stress. Under a modest damping, the Ekman transport along 26.5°N will be ~0.4 Sv (12%) smaller than that predicted by the classic theory. Hence, the damping due to turbulent dissipation can noticeably affect the wind-driven circulation in the upper ocean.
title Ekman Theory with Damping
topic Atmospheric and Oceanic Physics
Geophysics
url https://arxiv.org/abs/2505.02068