Energetics in the Charney Problem with a Generic Stratosphere

This paper reports a complete diagnosis of energetics of the three representative structurally distinct unstable modes in the Charney problem with a generic stratosphere presented in Mak et al (2021). The diagnosis of the vertically-local-energetics of these modes (Charney+ mode, Green mode and Trop...

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Main Authors: Mankin Mak, Siyu Zhao
Format: Article
Language:English
Published: Stockholm University Press 2022-04-01
Series:Tellus: Series A, Dynamic Meteorology and Oceanography
Subjects:
Online Access:https://a.tellusjournals.se/articles/53
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author Mankin Mak
Siyu Zhao
author_facet Mankin Mak
Siyu Zhao
author_sort Mankin Mak
collection DOAJ
description This paper reports a complete diagnosis of energetics of the three representative structurally distinct unstable modes in the Charney problem with a generic stratosphere presented in Mak et al (2021). The diagnosis of the vertically-local-energetics of these modes (Charney+ mode, Green mode and Tropopause mode) helps delineate the physical nature of the impacts of a tropopause upon their vertical structures. The total-energetics diagnosis reveals that the computational noise is negligible in the significantly unstable modes, but that in a weakly unstable mode is measurable. Treating the top boundary as a sufficiently high free-surface adequately permits the existence of vertically propagating modes with negligibly small energy passing through it. The analysis of this generalized Charney problem could be relevant to the study of troposphere-stratosphere interaction capable of inducing anomalous tropospheric weather regimes.
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spelling doaj.art-9c90cadda0584300ba67b9e76a1174a22022-12-22T03:31:09ZengStockholm University PressTellus: Series A, Dynamic Meteorology and Oceanography1600-08702022-04-0174110.16993/tellusa.5338Energetics in the Charney Problem with a Generic StratosphereMankin Mak0Siyu Zhao1Department of Atmospheric Science, University of Illinois at Urbana-Champaign, IllinoisDepartment of Atmospheric and Oceanic Sciences, University of California, Los Angeles, CaliforniaThis paper reports a complete diagnosis of energetics of the three representative structurally distinct unstable modes in the Charney problem with a generic stratosphere presented in Mak et al (2021). The diagnosis of the vertically-local-energetics of these modes (Charney+ mode, Green mode and Tropopause mode) helps delineate the physical nature of the impacts of a tropopause upon their vertical structures. The total-energetics diagnosis reveals that the computational noise is negligible in the significantly unstable modes, but that in a weakly unstable mode is measurable. Treating the top boundary as a sufficiently high free-surface adequately permits the existence of vertically propagating modes with negligibly small energy passing through it. The analysis of this generalized Charney problem could be relevant to the study of troposphere-stratosphere interaction capable of inducing anomalous tropospheric weather regimes.https://a.tellusjournals.se/articles/53energeticsbaroclinic instabilitycharney problemgeneric stratospherecharney+ model
spellingShingle Mankin Mak
Siyu Zhao
Energetics in the Charney Problem with a Generic Stratosphere
Tellus: Series A, Dynamic Meteorology and Oceanography
energetics
baroclinic instability
charney problem
generic stratosphere
charney+ model
title Energetics in the Charney Problem with a Generic Stratosphere
title_full Energetics in the Charney Problem with a Generic Stratosphere
title_fullStr Energetics in the Charney Problem with a Generic Stratosphere
title_full_unstemmed Energetics in the Charney Problem with a Generic Stratosphere
title_short Energetics in the Charney Problem with a Generic Stratosphere
title_sort energetics in the charney problem with a generic stratosphere
topic energetics
baroclinic instability
charney problem
generic stratosphere
charney+ model
url https://a.tellusjournals.se/articles/53
work_keys_str_mv AT mankinmak energeticsinthecharneyproblemwithagenericstratosphere
AT siyuzhao energeticsinthecharneyproblemwithagenericstratosphere