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Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere

Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere
Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere
On the predictability of atmospheric blocking in the mid-latitude atmosphere, a quasi-geostrophic beta-plane channel model equation was introduced in a pioneering work by Charney and DeVore in 1979 based on the understanding of quasi-stationary weather patterns. The equation is driven by a zonal thermal flow representing a mid-latitude westerly jet and a wave function representing an ocean land topography. They truncated the equation into a three spectral mode model, which gives rise to the existence of multiple equilibrium states showing a blocking mechanism profile. Moreover, they predicted numerically the absence of the multiple equilibrium states with respect to the flat topography situation. In the present paper, this absence observation is discussed from rigorous analysis and the coexistence of two stable equilibrium states, similarly to the three mode model equilibrium states accounting for atmospheric blocking, is investigated numerically with the increment of topographic amplitude.
0022-247X
1403-1416
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Xiong, Xiangming
79b77964-5f74-4fe6-ad44-7f96ccb94eee
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Xiong, Xiangming
79b77964-5f74-4fe6-ad44-7f96ccb94eee

Chen, Zhi-Min and Xiong, Xiangming (2016) Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Journal of Mathematical Analysis and Applications, 444 (2), 1403-1416. (doi:10.1016/j.jmaa.2016.07.021).

Record type: Article

Abstract

On the predictability of atmospheric blocking in the mid-latitude atmosphere, a quasi-geostrophic beta-plane channel model equation was introduced in a pioneering work by Charney and DeVore in 1979 based on the understanding of quasi-stationary weather patterns. The equation is driven by a zonal thermal flow representing a mid-latitude westerly jet and a wave function representing an ocean land topography. They truncated the equation into a three spectral mode model, which gives rise to the existence of multiple equilibrium states showing a blocking mechanism profile. Moreover, they predicted numerically the absence of the multiple equilibrium states with respect to the flat topography situation. In the present paper, this absence observation is discussed from rigorous analysis and the coexistence of two stable equilibrium states, similarly to the three mode model equilibrium states accounting for atmospheric blocking, is investigated numerically with the increment of topographic amplitude.

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ZMChen JMAA 20Jan2016_25May2016_29May2016_1Jun_3Jun_final.pdf - Accepted Manuscript
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Accepted/In Press date: 9 June 2016
e-pub ahead of print date: 22 July 2016
Published date: 15 December 2016
Organisations: Fluid Structure Interactions Group

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Local EPrints ID: 401679
URI: http://eprints.soton.ac.uk/id/eprint/401679
ISSN: 0022-247X
PURE UUID: 6c59abfa-a9be-4915-8381-b2b1422bb6c9

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Date deposited: 19 Oct 2016 12:28
Last modified: 08 Jan 2022 07:44

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Contributors

Author: Zhi-Min Chen
Author: Xiangming Xiong

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