A SEMI-CIRCLE THEOREM FOR UNSTABLE PERTURBATION IN TROPICAL CYCLONE-SCALE VORTICLES

作     者：HUANG Hong ZHANG Ming XU Ming HUANG Hong Institute of Meteorology,PLA University of Science and Technology,Nanjing 211101,China Shanghai Typhoon Institute,China Meteorological Administration,Shanghai 200030,China ZHANG Ming Institute of Meteorology,PLA University of Science and Technology,Nanjing 211101,China XU Ming Shanghai Typhoon Institute,China Meteorological Administration,Shanghai 200030,China Laboratory of Typhoon Forecast Technique/CMA,Shanghai 200030,China

作者机构：Institute of Meteorology PLA University of Science and Technology Nanjing 211101 China Shanghai Typhoon Institute China Meteorological Administration Shanghai 200030 China Laboratory of Typhoon Forecast Technique/CMA Shanghai 200030 China 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2009年第21卷第4期

页      面：473-481页

核心收录：

学科分类：07[理学] 070601[理学-气象学] 070104[理学-应用数学] 0706[理学-大气科学] 0701[理学-数学] 

基　　金：supported by the National Nature Science Foundation of China (Grant No.40575023) supported by the China Meteorological Administration Shanghai Typhoon Institute Typhoon Research Fund (Grant No. 2008ST06) 

主　　题：tropical cyclone-scale vortex spiral bands instability semi-circle theorem 

摘      要：In this paper, we discusses the spectrum distribution of baroclinic disturbances in tropical cyclone-scale vortices with the assumption that the basic flow does not vary with height. The semi-circle theorem for the unstable perturbation is obtained and the upper bound of growth rate can be estimated. The upper bound of instability growth rate increases with the increase of the maximum basic-state tangential wind speed, angular speed, inertial parameter, absolute vorticity, radial gradient of absolute vorticity and static stability. The upper bound of instability growth rate is greater for vortices of larger horizontal scale and smaller vertical scale and lower wave-number disturbances.