Revisiting the Frictional Control of the Antarctic Circumpolar Current From the Energy Diagram

Fuente: arXiv
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Main Authors: Matsuta, Takuro, Tanaka, Yuki, Kubokawa, Atsushi
Format: Preprint
Published: 2026
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_version_ 1866916071441694720
author Matsuta, Takuro
Tanaka, Yuki
Kubokawa, Atsushi
author_facet Matsuta, Takuro
Tanaka, Yuki
Kubokawa, Atsushi
contents The transport of the Antarctic Circumpolar Current (ACC) has been shown to increase with friction. Previous studies explained this counter-intuitive relationship called frictional control based on the eddy geometric parametrizations. They focused on the eddy momentum transfer and eddy energetics. To maintain the balance between wind stress and eddy interfacial form stress, eddy energy must remain unchanged as friction increases; this requires enhanced baroclinicity to compensate for stronger eddy energy dissipation. However, the independence of eddy energy has not been fully verified, and this interpretation assumes negligible barotropic energy conversion. To address this gap, we conduct sensitivity experiments in an idealized stratified reentrant channel with varying linear bottom drag. Numerical simulations show that eddy energy changes substantially with friction. Furthermore, in the high-drag regime, baroclinic energy conversion dominates eddy energy generation, whereas in the low-drag regime barotropic energy conversion contributes substantially. Despite these differences, baroclinicity increases with eddy energy dissipation across all regimes, although the relationship is somewhat weak in the low-drag regime owing to barotropic energy conversion. To explain this phenomenon, we extend the frictional control framework based on the Lorenz energy cycle. A simple scaling argument leads to a generalized frictional control, s~D(E)/τ_w, where s is baroclinicity, D(E) is eddy energy dissipation, and τ_w is wind stress. This framework provides a natural extension of the existing framework and successfully explains the numerical results. These results indicate that eddy dissipation controls the baroclinicity; therefore, properly parameterizing the eddy dissipation rate is essential for representing ACC dynamics in ocean models.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23742
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Revisiting the Frictional Control of the Antarctic Circumpolar Current From the Energy Diagram
Matsuta, Takuro
Tanaka, Yuki
Kubokawa, Atsushi
Fluid Dynamics
Atmospheric and Oceanic Physics
The transport of the Antarctic Circumpolar Current (ACC) has been shown to increase with friction. Previous studies explained this counter-intuitive relationship called frictional control based on the eddy geometric parametrizations. They focused on the eddy momentum transfer and eddy energetics. To maintain the balance between wind stress and eddy interfacial form stress, eddy energy must remain unchanged as friction increases; this requires enhanced baroclinicity to compensate for stronger eddy energy dissipation. However, the independence of eddy energy has not been fully verified, and this interpretation assumes negligible barotropic energy conversion. To address this gap, we conduct sensitivity experiments in an idealized stratified reentrant channel with varying linear bottom drag. Numerical simulations show that eddy energy changes substantially with friction. Furthermore, in the high-drag regime, baroclinic energy conversion dominates eddy energy generation, whereas in the low-drag regime barotropic energy conversion contributes substantially. Despite these differences, baroclinicity increases with eddy energy dissipation across all regimes, although the relationship is somewhat weak in the low-drag regime owing to barotropic energy conversion. To explain this phenomenon, we extend the frictional control framework based on the Lorenz energy cycle. A simple scaling argument leads to a generalized frictional control, s~D(E)/τ_w, where s is baroclinicity, D(E) is eddy energy dissipation, and τ_w is wind stress. This framework provides a natural extension of the existing framework and successfully explains the numerical results. These results indicate that eddy dissipation controls the baroclinicity; therefore, properly parameterizing the eddy dissipation rate is essential for representing ACC dynamics in ocean models.
title Revisiting the Frictional Control of the Antarctic Circumpolar Current From the Energy Diagram
topic Fluid Dynamics
Atmospheric and Oceanic Physics
url https://arxiv.org/abs/2602.23742