THE EFFECTS OF EXTERNAL FORCING,DISSIPATION AND NONLINEARITY ON THE SOLUTIONS OF ATMOSPHERIC EQUATIONS

Based on the primitive equations of the atmosphere,we study the effects of external forcing.dissipation and nonlinearity on the solutions of stationary motion and non-stationary motion.Theresults show that the asymptotic behavior of solutions of the forced dissipative nonlinear system isessentially different from that of the adiabatic non-dissipative system,the adiabatic dissipativesystem,the diabatic non-dissipative system and the diabatic dissipative linear system,and that thejoint action of external forcing,dissipation and nonlinearity is the source of multiple equilibria.From this we can conclude that the important actions of diabatic heating and dissipation must beconsidered in the models of the long-term weather and the climate.     

全型涡度方程和经典涡度方程比较

在简要回顾经典涡度方程和全型涡度方程推导的基础上 ,比较了两种涡度方程的异同。集中讨论全型涡度方程新的物理内涵 ,证明了与稳定度和斜压性变化 (锋生、锋消过程 )相联系的内部强迫以及与摩擦耗散和非绝热加热相联系的外部强迫所诱发的涡度发展的机制。最后 ,指出了全型涡度方程的天气和气候应用前景。     

STUDY ON THE GENESIS OF ASYMMETRICAL DISTRIBUTION CHARACTERISTICS OF PRECIPITATION ASSOCIATED WITH THE TYPHOON HAITANG (2005) FROM THE VIEW OF ATMOSPHERIC FACTOR

The distribution of precipitation field from the typhoon Haitang (2005) during its landing on Fujian province shows obvious asymmetric feature. Based on the NCEP/NCAR FNL (Final Analysis) data, this study reveals the contributions of atmospheric factor to the asymmetrical distribution characteristics of precipitation associated with the typhoon, through the analysis of water vapor condition, vertical ascending motion condition, the calculation of the dry Q vector and its decomposition, and adiabatic heating in the air column of 1000hPa -600hPa (lower atmosphere) and 500hPa-100hPa (upper atmosphere). The results are as follows: (1) In the lower atmosphere, the humidity on both sides of typhoon path can be equivalent, while it is more wet on the right side than left in the upper atmosphere, which obviously presents asymmetric distribution characteristics. (2) Both range and intensity of the vertical motion on the right side are wider and stronger than counterparts on the left side no matter in the lower or upper atmosphere. (3) In the upper atmosphere, forcing role of atmosphere in vertical upward motion on the right side of typhoon path is the same as that on the left, while it is significantly different in the lower atmosphere, which is significantly broader in scope and stronger in the intensity, along with obvious asymmetric distribution characteristics. In addition, the further analysis of the Q vector decomposition indicates that the forcing effect of mesoscale weather systems on vertical upward motion is stronger than that of large scale weather systems in the lower atmosphere. (4) The adiabatic heating always exists on both lower and upper atmosphere, and the range and intensity of the adiabatic heating forcing showed asymmetric distribution on both lower and upper atmosphere. (5) In a summary, the upper atmosphere humidity conditions, the forcing role of lower atmosphere in vertical upward motion, especially, to mesoscale weather system, and adiabatic heating in the lower atmosphere, all show similar asymmetric distribution characteristics to that of precipitation field from the typhoon Haitang (2005), that is to say, the atmospheric factors as mentioned above are all contributed to genesis of the asymmetric distribution characteristics of precipitation.     

大气动力学方程组的定性理论及其应用

基于完整的湿大气动力学方程组,利用无穷维动力系统的新理论和新方法,系统讨论了强迫耗散的非线性大气系统的定性理论及其应用。将完整的强迫耗散非线性湿大气动力学方程组化为Hilbert空间中一个等价的算子方程,研究了算子的性质及其物理意义,在此基础上得到湿大气系统全局吸引子的存在性定理,揭示出系统向外源的非线性适应特征,并把结果推广到有地形动力作用和非定常外源强迫的情形。同时探讨了大气方程组惯性流形的存在,大气多平衡态产生的根源以及强迫、耗散和非线性对系统解的渐近行为的影响。在理论结果的基础上,提出强迫耗散的非线性动力系统中存在三类时间边界层、方程组简化准则、分解算法的算子约束原则以及支撑吸引子基底的少数自由度的构造方法,探讨了理论在非线性发展方程差分格式的设计和计算稳定性分析、多平衡态的数值分析、数值模式延伸预报的改进、短期气候预测以及一类中尺度系统分析与预测中的应用,指出描述长期过程动力学模式的必备条件,给出初值与模式相协调的合理解释。最后,对今后的研究方向作了展望。     

A NUMERICAL STUDY ON FORMATION OF THE NEGATIVE VORTICITY REGION OVER THE NORTHEAST SIDE OF THE QINGHAI-XIZANG PLATEAU*

In order to investigate the formation of the negative vorticity region over the northeast side of the Qinghai Xizang (Tibetan) Plateau,four sets of numerical experiments have been performed in this paper with a quasigeostrophic barotropical model considering large-scale topography,diabatic heating and dissipation.The diabatic heating in the model contains a constant forcing and timevarying forcing.The time-varying characters are determined by the continuous evolution of the sensible heat flux at Damxung Station (30°29'N,91°06'E) from 31 May to 4 June 1998.Results suggest that there are three types of processes significantly contributing to the formation of the negative vorticity region over the northeast side of the Qinghai Xizang Plateau,and they are the advection of the anticyclonic vortex at the upstream by the basic flow,the energy dispersion of the cyclonic vortex over the south side of the Plateau,and the strengthening of anticyclonic systems produced by the thermal forcing of the Plateau.     

非绝热加热对热带气旋非对称结构影响的数值试验

利用含非绝热加热强迫的正压涡度方程。将非绝热加热作适当的参数化处理。对初始对称 热带气旋作了一系列数值试验,结果表明：不仅β项、平流项在热带气旋非对称结构的形成中有重要作用,而且非绝热加热对热带气旋的非对称结构亦有重要影响,从而验证了非绝热加热是热带气旋非对称结构形成的一种可能机制的结论。     

NUMERICAL EXPERIMENTS OF THE INFLUENCE OF DIABATIC HEATING ON TROPICAL CYCLONE ASYMMETRIC STRUCTURE

Using the barotropic volticity equation that contains forcing from diabatic heating with appropriate parameterization. a number of numerical experiments are conducted for the tropical cyclone that is initially symmetric The result shows that the diabatic heating has important effects on the asymmetric structure in addition to the roll of the β term and nonlinear advection term in its formation. It again confirms the conclusion that the diabatic heating is a possible mechanism responsible for such structures in the tropical cyclone.     

FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR

The equivalent operator equation is derived from the full primitive nonlinear equations of theatmospheric motion and the properties and physical senses of the operators are studied.In theinfinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system withthe non-stationary external forcing is studied under the assumption of the bounded externalforcing.The existence theorems of the global absorbing set and the global attractor are obtained.Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996 a;1996 b)areextended to the general atmosphere.     

地形与热源强迫在亚洲夏季风形成与维持中的物理作用

本文利用变换的欧拉平均运动方程组及一个准地转34层球坐标模式来讨论地形与热源强迫对亚洲夏季风形成与维持的物理作用。 通过地形以及地形与热源强迫所产生的准定常行星波E—P通量的散度,强迫经圈环流及扰动地转风速的计算,表明了青藏高原东南部上空夏季的非绝热加热对于亚洲夏季风形成与维持起着重要作用,它远大于地形的动力作用。 计算结果还表明:地形与热源对亚洲夏季风形成与维持的物理作用中,它通过强迫经圈环流的作用要大于强迫波E—P通量的散度的作用。     

THE INFLUENCE OF PHOTOCHEMICAL PROCESS ON THE ATMOSPHERIC WAVE

The time damping rate of gravity wave in the range of 30-70 km is calaclated in threecircumstances:(1)adiabatic process,(2)diabatic process caused by atmospheric cooling,and(3)diabatic process resulting from atmospheric photochemical heating and cooling.The resultsindicate that the photochemical heating is as important as Newtonian cooling and its contribution tothe time damping rate of gravity wave can not he negligible.     

STUDY OF THE NONLINEAR MECHANISM ABOUT THE FORMATION OF BLOCKING HIGH*

In this paper,a nonlinear dynamical system considering the interactions among ultra-long wave,long wave and zonal flow in a baroelinic atmosphere was found.In this system,thermal forcing and frictional dissipation are regarded as the external parameters.The procedure,in which the maps of orbit in phase space,contour of stream function and section of Poincaré mapping are combined with each other,is used to determine the distributions of system states and circulation patterns and to draw the corresponding diagrams.The results show that by using the Galerkin method,there is no essential influence of the increasing of orders of truncated-spectrum in a certain range on the distributions of system states and circulation patterns,but it makes them somewhat complexities.By contrast,the changing of distribution of thermal forcing exerts a great influence on the system.Blocking high links closely with the oscillating of the atmospheric circulation and the meridional growing intensely,while the development of synoptic wave can promote the oscillating.     

局地热力强迫与准定常大振幅扰动的形成

文中导得了包括热力强迫和耗散的非线性强迫ＫｄＶ－Ｂｕｒｇｅｒｓ方程,并作了数值求解。计算结果表明,热力强迫和耗散是孤波质量和能量变化的主要原因,耗散使孤波质量能量随时间指数衰减;热力强迫与地形一样,都能在强迫区产生定常孤波,但前者产生的上游扰动振幅更大,而后者产生的下游扰动更为明显;加热和地形一样都能使孤波发生位相漂移,减小其移速,阻挡孤波的移动,从而增加与孤波的相互作用时间;适当大小的耗散与热力强迫的组合迫使移动性孤波在强迫区附近来回振荡,大大增加与热力强迫的相互作用时间;在耗散与热力强迫同时存在的非线性系统中,移动性孤波与热力强迫的相互作用可能是产生阻塞等长生命周期的局地准定常系统的重要因子。     

FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR*

The equivalent operator equation is derived from the full primitive nonlinear equations of the atmospheric motion and the properties and physical senses of the operators are studied.In the infinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system with the non-stationary external forcing is studied under the assumption of the bounded external forcing.The existence theorems of the global absorbing set and the global attractor are obtained.Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996a;1996b) are extended to the general atmosphere.     

THE INFLUENCE OF PHOTOCHEMICAL PROCESS ON THE ATMOSPHERIC WAVE*

The time damping rate of gravity wave in the range of 30-70 km is calaclated in three circumstances:(1) adiabatic process,(2) diabatic process caused by atmospheric cooling,and(3) diabatic process resulting from atmospheric photochemical heating and cooling.The results indicate that the photochemical heating is as important as Newtonian cooling and its contribution to the time damping rate of gravity wave can not he negligible.     

正压模式中的非绝热波动

应用含有非绝热因子的正压模式方程组,着重分析了对流凝结加热、蒸发－风反馈和ＣＩＳＫ机制等非绝热因子对低纬Ｒｏｓｓｂｙ波和Ｋｅｌｖｉｎ波的影响。既获得了圆频率的表达式,又分析了波的周期与稳定性。结果表明：非绝热因子的存在不但扩大了绝热波的周期,而且改变了波的稳定性。因此,可以认为：所谓季节内振荡（３０—６０天的周期振荡）等低频振荡实际上是一类非绝热波,这类非绝热波是引起中长期天气变化及短期气候演变的重要因素。     

A DYNAMICAL ANALYSIS OF BASIC FACTORS OF LOW-FREQUENCY OSCILLATION IN THE TROPICAL ATMOSPHERE*

Based on dynamical characteristics of the tropical atmosphere,a mathematical model of low-frequency oscillation (LFO hereinafter) in low-latitudes has been developed.The analysis shows that the distributive features (shear of wind speed) of easterlies and westerlies in low-latitudes,the divergence and convergence of meridional and zonal flow,the vertical structure of diabatic heating and the Coriolis parameter f are the basic factors resulting in the LFO,while quasi-periodical baroclinity development or index cycle of westerly waves in middle-latitudes of the Southern Hemisphere is an external forcing to the LFO in the tropical atmosphere.The resonance on adequate condition makes LFO suddenly enhanced.     

THE DIABATIC WAVES IN BAROTROPIC MODEL

The equations of barotropic model are used to discuss the effects of diabatic factors such as heat-ing of convective condensation, evaporation-wind feedback and CISK on the Rossby wave and the Kelvin wave. In low latitudes we have obtained the angular frequency and analyzed the period and stability of waves. The result shows the existence of the diabatic factors not only enlarges the period of adiabatic waves but also changes the stability of waves. Thus we think that the so-called intraseasonal oscillation and some other low-frequency oscillations are a kind of diabatic waves which are important factors producing the long-term weather changes and short-term climatic evolution.     

夏季江淮气旋的准地转诊断分析

本文通过实例计算,讨论了包含潜热的淮地转ω方程在夏季江淮气旋活动及梅雨暴雨预报中的适用性,并分析了绝热因子和非绝热因子的贡献。主要结论有:(1)上述方程可以较准确地确定上升、下沉区及其主要中心的位置;(2)垂直运动的符号基本上可由绝热因子确定,潜热加热对上升运动起增辐作用;(3)稳定性降水对地面低压中心的生成起主要作用;(4)可以通过计算500hPa Q矢量散度来预报降水区、暴雨区及气旋波活动的位置。     

西北太平洋温带气旋爆发性发展的热力-动力学分析

利用天气、位涡分析和导出的Lagrangian型广义Z－O发展方程的诊断分析,考查了两个西北太平洋温带气旋爆发件发展的主要强迫机制和热力一动力空;司结构。结果表明,热力强迫对爆发性气旋发展起主要控制作用,当反映大气斜乐性的Laplacian温度平流、积云对流和湍流加热为主的热力强迫共同作用使地转相对涡度急剧增长时,气旋便出现了爆发性发展,其中积二尺度的对流加热贡献更大。Laplacian绝热冷却、大气向海洋的感热输送和摩擦效应起阻滞发展的作用,也是控制气旋衰亡的主要过程。爆发性发展启动同子因例而异,涡度平流、Laplacian温度平流和Laplacian大尺度加热均可成为主要启动因子。垂直积分平均分布和垂直结构考查进一步佐证了诊断分析的结果,并揭示了气旋爆发性发展过程中一些重要的热力-动力学分布特征。     

A study of partitioning Q vector on background conditions of a torrential rainfall over Shanghai, China on 25 August 2008

A rainfall that occurred during 0200–1400 Beijing Standard Time(BST)25 August 2008 shows the rapid development of a convective system,a short life span,and a record rate of 117.5 mm h-1for Xujiahui station since 1872.To study this torrential rainfall process,the partitioning method of Q vector is developed,in which a moist Q vector is first separated into a dry ageostrophic Q vector(DQ)and a diabatic-heating component.The dry ageostrophic Q vector is further partitioned along isothermal lines in the natural...