Applications of Conditional Nonlinear Optimal Perturbation to the Study of the Stability and Sensitivity of the Jovian Atmosphere

JIANG Zhina

doi:10.1007/s00376-006-0775-x

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Volume 23 Issue 5

Sep. 2006

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Article > ADVANCES IN ATMOSPHERIC SCIENCES > 2006 > 23(5): 775-783

Applications of Conditional Nonlinear Optimal Perturbation to the Study of the Stability and Sensitivity of the Jovian Atmosphere

JIANG Zhina

1.
State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, Graduate University of the Chinese Academy of Sciences, Beijing 100039

JIANG Zhina

doi: 10.1007/s00376-006-0775-x

Abstract
References
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Abstract:
A two-layer quasi-geostrophic model is used to study the stability and sensitivity of motions on smallscale vortices in Jupiter’s atmosphere. Conditional nonlinear optimal perturbations (CNOPs) and linear singular vectors (LSVs) are both obtained numerically and compared in this paper. The results show that CNOPs can capture the nonlinear characteristics of motions in small-scale vortices in Jupiter’s atmosphere and show great difference from LSVs under the condition that the initial constraint condition is large or the optimization time is not very short or both. Besides, in some basic states, local CNOPs are found. The pattern of LSV is more similar to local CNOP than global CNOP in some cases. The elementary application of the method of CNOP to the Jovian atmosphere helps us to explore the stability of variousscale motions of Jupiter’s atmosphere and to compare the stability of motions in Jupiter’s atmosphere and Earth’s atmosphere further.
- stability,
- sensitivity,
- conditional nonlinear optimal perturbation,
- singular vector
References

[1]	Xin LIU, Jing CHEN, Yongzhu LIU, Zhenhua HUO, Zhizhen XU, Fajing CHEN, Jing WANG, Yanan MA, Yumeng HAN, 2024: An Initial Perturbation Method for the Multiscale Singular Vector in Global Ensemble Prediction, ADVANCES IN ATMOSPHERIC SCIENCES, 41, 545-563. doi: 10.1007/s00376-023-3035-4
[2]	Yonghan CHOI, Joowan KIM, Dong-Kyou LEE, 2012: Characteristics and Nonlinear Growth of the Singular Vector Related to a Heavy Rainfall Case over the Korean Peninsula, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 10-28. doi: 10.1007/s00376-011-0194-5
[3]	ZHENG Qin, SHA Jianxin, SHU Hang, and LU Xiaoqing, 2014: A Variant Constrained Genetic Algorithm for Solving Conditional Nonlinear Optimal Perturbations, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 219-229. doi: 10.1007/s00376-013-2253-6*
[4]	He Jianzhong, 1994: Nonlinear Ultra-Long Wave and Its Stability, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 91-100. doi: 10.1007/BF02656998
[5]	SUN Guodong, MU Mu, ZHANG Yale, 2010: Algorithm Studies on How to Obtain a Conditional Nonlinear Optimal Perturbation (CNOP), ADVANCES IN ATMOSPHERIC SCIENCES, 27, 1311-1321. doi: 10.1007/s00376-010-9088-1
[6]	WANG Qiang, MU Mu, Henk A. DIJKSTRA, 2012: Application of the Conditional Nonlinear Optimal Perturbation Method to the Predictability Study of the Kuroshio Large Meander, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 118-134. doi: 10.1007/s00376-011-0199-0
[7]	QIN Xiaohao, MU Mu, 2014: Can Adaptive Observations Improve Tropical Cyclone Intensity Forecasts?, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 252-262. doi: 10.1007/s00376-013-3008-0
[8]	Zhenhua HUO, Wansuo DUAN, Feifan ZHOU, 2019: Ensemble Forecasts of Tropical Cyclone Track with Orthogonal Conditional Nonlinear Optimal Perturbations, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 231-247. doi: 10.1007/s00376-018-8001-1
[9]	DIAO Yina, FENG Guolin, LIU Shida, LIU Shikuo, LUO Dehai, HUANG Sixun, LU Weisong, CHOU Jifan, 2004: Review of the Study of Nonlinear Atmospheric Dynamics in China (1999-2002), ADVANCES IN ATMOSPHERIC SCIENCES, 21, 399-406. doi: 10.1007/BF02915567
[10]	DING Ruiqiang, FENG Guolin, LIU Shida, LIU Shikuo, HUANG Sixun, FU Zuntao, 2007: Nonlinear Atmospheric and Climate Dynamics in China (2003--2006): A Review, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 1077-1085. doi: 10.1007/s00376-007-1077-7
[11]	LIN Pengfei, YU Yongqiang, LIU Hailong, 2013: Long-term Stability and Oceanic Mean State Simulated by the Coupled Model FGOALS-s2, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 175-192. doi: 10.1007/s00376-012-2042-7
[12]	ZHANG Xiaohui, GAO Zhiqiu, WEI Dongping, 2012: The Sensitivity of Ground Surface Temperature Prediction to Soil Thermal Properties Using the Simple Biosphere Model (SiB2)}, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 623-634. doi: 10.1007/s00376-011-1162-9
[13]	Xiaohao QIN, Wansuo DUAN, Hui XU, 2020: Sensitivity to Tendency Perturbations of Tropical Cyclone Short-range Intensity Forecasts Generated by WRF, ADVANCES IN ATMOSPHERIC SCIENCES, 37, 291-306. doi: 10.1007/s00376-019-9187-6
[14]	SUN Guodong, MU Mu, 2012: Inducing Unstable Grassland Equilibrium States Due to Nonlinear Optimal Patterns of Initial and Parameter Perturbations: Theoretical Models, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 79-90. doi: 10.1007/s00376-011-0226-1
[15]	Bin MU, Juhui REN, Shijin YUAN, Rong-Hua ZHANG, Lei CHEN, Chuan GAO, 2019: The Optimal Precursors for ENSO Events Depicted Using the Gradient-definition-based Method in an Intermediate Coupled Model, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 1381-1392. doi: 10.1007/s00376-019-9040-y
[16]	ZHONG Ke, DONG Peiming, ZHAO Sixiong, CAI Qifa, LAN Weiren, 2007: State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics \mbox{\rm (LASG)}, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 435-448. doi: 10.1007/s00376-007-0435-9
[17]	Li Liming, Huang Feng, Chi Dongyan, Liu Shikuo, Wang Zhanggui, 2002: Thermal Effects of the Tibetan Plateau on Rossby Waves from the Diabatic Quasi-Geostrophic Equations of Motion, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 901-913. doi: 10.1007/s00376-002-0054-4
[18]	ZENG Xinmin, LIU Jinbo, MA Zhuguo, SONG Shuai, XI Chaoli, WANG Hanjie, 2010: Study on the Effects of Land Surface Heterogeneitiesin Temperature and Moisture on Annual Scale Regional Climate Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 154-163. doi: 10.1007/s00376-009-8117-4
[19]	DENG Huiping, SUN Shufen, 2010: Extension of TOPMODEL Applications to the Heterogeneous Land Surface, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 164-176. doi: 10.1007/s00376-009-8146-z
[20]	FANG Changluan, ZHENG Qin, WU Wenhua, DAI Yi, 2009: Intelligent Optimization Algorithms to VDA of Models with on/off Parameterizations, ADVANCES IN ATMOSPHERIC SCIENCES, 26, 1181-1197. doi: 10.1007/s00376-009-8084-9

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Manuscript History

Manuscript received: 10 September 2006

Manuscript revised: 10 September 2006

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Applications of Conditional Nonlinear Optimal Perturbation to the Study of the Stability and Sensitivity of the Jovian Atmosphere

JIANG Zhina

1. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, Graduate University of the Chinese Academy of Sciences, Beijing 100039

Manuscript received: 2006-09-10
Manuscript revised: 2006-09-10

Abstract: A two-layer quasi-geostrophic model is used to study the stability and sensitivity of motions on smallscale vortices in Jupiter’s atmosphere. Conditional nonlinear optimal perturbations (CNOPs) and linear singular vectors (LSVs) are both obtained numerically and compared in this paper. The results show that CNOPs can capture the nonlinear characteristics of motions in small-scale vortices in Jupiter’s atmosphere and show great difference from LSVs under the condition that the initial constraint condition is large or the optimization time is not very short or both. Besides, in some basic states, local CNOPs are found. The pattern of LSV is more similar to local CNOP than global CNOP in some cases. The elementary application of the method of CNOP to the Jovian atmosphere helps us to explore the stability of variousscale motions of Jupiter’s atmosphere and to compare the stability of motions in Jupiter’s atmosphere and Earth’s atmosphere further.

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