Atmospheric Instability and Its Associated Oscillations in the Tropics

The interaction between tropical clouds and radiation is studied in the context of the weak temperature gradient approximation, using very low order systems (e.g., a two-column two-layer model) as a zeroth-order approximation. Its criteria for the instability are derived in the systems. Owing to the...

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Main Author: Xiping Zeng
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Atmosphere
Subjects:
Online Access:https://www.mdpi.com/2073-4433/14/3/433
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author Xiping Zeng
author_facet Xiping Zeng
author_sort Xiping Zeng
collection DOAJ
description The interaction between tropical clouds and radiation is studied in the context of the weak temperature gradient approximation, using very low order systems (e.g., a two-column two-layer model) as a zeroth-order approximation. Its criteria for the instability are derived in the systems. Owing to the connection between the instability (unstable fixed point) and the oscillation (limit cycle) in physics (phase) space, the systems suggest that the instability of tropical clouds and radiation leads to the atmospheric oscillations with distinct timescales observed. That is, the instability of the boundary layer quasi-equilibrium leads to the quasi-two-day oscillation, the instability of the radiative convective equilibrium leads to the Madden–Julian oscillation (MJO), and the instability of the radiative convective flux equilibrium leads to the El Niño–southern oscillation. In addition, a linear model as a first-order approximation is introduced to reveal the zonal asymmetry of the atmospheric response to a standing convective/radiative heating oscillation. Its asymmetric resonance conditions explain why a standing ~45-day oscillation in the systems brings about a planetary-scale eastward travelling vertical circulation like the MJO. The systems, despite of their simplicity, replicate the oscillations with the distinct timescales observed, providing a novel cloud parameterization for weather and climate models. Their instability criteria further suggests that the models can successfully predict the oscillations if they properly represent cirrus clouds and convective downdrafts in the tropics.
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spelling doaj.art-6c434d5c8f054838b983ea271890bf0f2023-11-17T09:31:36ZengMDPI AGAtmosphere2073-44332023-02-0114343310.3390/atmos14030433Atmospheric Instability and Its Associated Oscillations in the TropicsXiping Zeng0DEVCOM Army Research Laboratory, Adelphi, MD 20783, USAThe interaction between tropical clouds and radiation is studied in the context of the weak temperature gradient approximation, using very low order systems (e.g., a two-column two-layer model) as a zeroth-order approximation. Its criteria for the instability are derived in the systems. Owing to the connection between the instability (unstable fixed point) and the oscillation (limit cycle) in physics (phase) space, the systems suggest that the instability of tropical clouds and radiation leads to the atmospheric oscillations with distinct timescales observed. That is, the instability of the boundary layer quasi-equilibrium leads to the quasi-two-day oscillation, the instability of the radiative convective equilibrium leads to the Madden–Julian oscillation (MJO), and the instability of the radiative convective flux equilibrium leads to the El Niño–southern oscillation. In addition, a linear model as a first-order approximation is introduced to reveal the zonal asymmetry of the atmospheric response to a standing convective/radiative heating oscillation. Its asymmetric resonance conditions explain why a standing ~45-day oscillation in the systems brings about a planetary-scale eastward travelling vertical circulation like the MJO. The systems, despite of their simplicity, replicate the oscillations with the distinct timescales observed, providing a novel cloud parameterization for weather and climate models. Their instability criteria further suggests that the models can successfully predict the oscillations if they properly represent cirrus clouds and convective downdrafts in the tropics.https://www.mdpi.com/2073-4433/14/3/433tropical cloudsradiationinstabilityoscillations
spellingShingle Xiping Zeng
Atmospheric Instability and Its Associated Oscillations in the Tropics
Atmosphere
tropical clouds
radiation
instability
oscillations
title Atmospheric Instability and Its Associated Oscillations in the Tropics
title_full Atmospheric Instability and Its Associated Oscillations in the Tropics
title_fullStr Atmospheric Instability and Its Associated Oscillations in the Tropics
title_full_unstemmed Atmospheric Instability and Its Associated Oscillations in the Tropics
title_short Atmospheric Instability and Its Associated Oscillations in the Tropics
title_sort atmospheric instability and its associated oscillations in the tropics
topic tropical clouds
radiation
instability
oscillations
url https://www.mdpi.com/2073-4433/14/3/433
work_keys_str_mv AT xipingzeng atmosphericinstabilityanditsassociatedoscillationsinthetropics