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基于准地转垂直运动方程对Q矢量的进一步探讨
引用本文:周小刚,柳士俊,王秀明,陶祖钰.基于准地转垂直运动方程对Q矢量的进一步探讨[J].地球物理学报,2011,54(10):2495-2502.
作者姓名:周小刚  柳士俊  王秀明  陶祖钰
作者单位:1. 中国气象局培训中心, 北京 100081; 2. 北京大学物理学院,北京 100871
基金项目:国家自然科学基金项目,2009年气象行业专项项目
摘    要:Q矢量是诊断大气大尺度垂直运动的重要物理量.在f平面近似下,从原始运动方程组出发可以推导出Q矢量以及相关的半地转Q矢量、非地转Q矢量和湿Q矢量等表达式,但这种传统的推导方法没有考虑大气准地转运动的属性.本文利用数学物理变换,直接从准地转ω方程出发推导出Q矢量及其相关表达式,从而克服了传统方法在大气准地转运动属性表达方面...

关 键 词:Q矢量  准地转ω方程  半地转Q矢量  非地转Q矢量  湿Q矢量
收稿时间:2010-09-19

Further study on the Q-vector based on the quasi-geostrophic omega equation
ZHOU Xiao-Gang,LIU Shi-Jun,WANG Xiu-Ming,TAO Zu-Yu.Further study on the Q-vector based on the quasi-geostrophic omega equation[J].Chinese Journal of Geophysics,2011,54(10):2495-2502.
Authors:ZHOU Xiao-Gang  LIU Shi-Jun  WANG Xiu-Ming  TAO Zu-Yu
Institution:1. China Meteorological Administration Training Center, Beijing 100081, China; 2. Physical School of Peking University, Beijing 100871, China
Abstract:Q-vector is an important physical quantity in diagnosing the vertical velocity based on the quasi-geostrophic ω-equation. Generally, Q-vector and its extension expressions, such as the semi-geostrophic-, ageostrophic- and moist Q-vectors, can be derived from the primitive equation set on the approximated f-plane. However, the atmospheric quasi-geostropic feature can not be considered in the traditional methods. In this paper, the Q-vectors and its extension expressions are derived from the quasi-geostrophic ω-equation directly in terms of the mathematical-physical transformation. Then, the deficiency of the traditional Q-vector derivation in physics is discussed.
Keywords:Q-vector  Quasi-geostrophic ω-equation  Semi-geostrophic Q-vector  Ageostrophic Q-vector  Moist Q-vector
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