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On the Significance and Use of the Generalized Moist Potential Vorticity Equation

On the Significance and Use of the Generalized Moist Potential Vorticity Equation
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摘要 In this paper,the continuity and thermodynamic equations including moisture forcings were derived.Using these two equations and the basic momentum equation of local Cartesian coordinates,the budget equation of generalized moist potential vorticity(GMPV) was derived.The GMPV equation is a good generalization of the Ertel potential vorticity(PV) and moist potential vorticity(MPV) equations.The GMPV equation is conserved under adiabatic,frictionless,barotropic,or saturated atmospheric conditions,and it is closely associated with the horizontal frontogenesis and stability of the real atmosphere.A real case study indicates that term diabatic heating could be a useful diagnostic tool for heavy rainfall events. In this paper, the continuity and thermody- namic equations including moisture forcings were derived. Using these two equations and the basic momentum equation of local Cartesian coordinates, the budget equation of generalized moist potential vorticity (GMPV) was derived. The GMPV equation is a good generalization of the Ertel potential vorticity (PV) and moist potential vorticity (MPV) equations. The GMPV equation is conserved un- der adiabatic, frictionless, barotropic, or saturated atmos- pheric conditions, and it is closely associated with the horizontal frontogenesis and stability of the real atmos- phere. A real case study indicates that term diabatic heat- ing could be a useful diagnostic tool for heavy rainfall events.
出处 《Atmospheric and Oceanic Science Letters》 2011年第3期131-135,共5页 大气和海洋科学快报(英文版)
基金 supported by the National Natural Science Foundation of China (Grant No. 41075032) Chinese Special Scientific Research Project for Public Interest (Grant No. GYHY200906004) the National Basic Research Program of China (Grant No. 2010CB951804)
关键词 potential vorticity moist potential vorticity 涡度方程 广义 MPV方程 非绝热加热 大气条件 热力学方程 直角坐标系 动量方程
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