变分原理与大气波动的Lagrange函数

本文从大气波动所满足的方程出发,应用变分原理求得了各种大气线性波动的Lagrange函数和平均Lagrange函数。应用平均Lagrange函数可以求得大气波动的频散关系、平均能量、波作用量和波作用量方程。 本文还分析了Lagrange函数与大气波能量间的关系,分析指出:Lagrange函数是物理量φ及其导数的二次式。对大气基本波动而言,非频散波的Lagrange函数是动能与位能(弹性位能或重力位能)之差,频散波的Lagrange函数是动能与恢复力的位能(有效位能、惯性位能或Rossby位能)之差。     

行星大气有效位能理论之进一步探讨

本文讨论了从两种观点(方法)出发推导的有效位能数理表达式。即Lorenz(1955)导出的欧拉观点有效位能表达式和Smith(1969)[2]导出的拉格朗日观点表达式。本文用拉格朗日方法重新推导的P坐标有效位能表达式与Smith方法有异。在此基础上,重新推导了有效位能平衡方程并讨论了其中的效率因子问题。指出,用欧拉方法不可以得到所谓效率因子。      

有限区域湿有效位能收支方程

有效位能是大气能量学中较出色的创见,它的收支方程,有助于揭示能量制造、积聚、释放条件,在理论与实际工作中都占重要地位。自六十年代史密斯(Smith,P.J.)提出有限区域有效位能及其收支方程后,很多人进行过这方面的研究。约翰逊(D.R.     

湿有效位能及其在暴雨分析和预报中的应用

有效位能是大气能量学中很重要的创见之一。早在本世纪初,马古拉斯(M.Margules)讨论气旋发展的能源时就已提出(当时称为有效动能)。可惜的是,其后半个世纪,虽有人继续研究这个问题,但进展不大。本世纪五十年代,洛伦兹(E.N.Lorenz)在上述研究的基础上,重新提出有效位能的概念及其表达式,并用于大气环流的研究。继洛伦兹之后,达顿(J.A.Dutton)与约翰逊(D.R.Johnson)以及范米根(Van Mieghen J.)进行了更全面、更系统、更严谨的讨论。 六十年代末,史密斯(Smith P.J.)提出有限区域有效位能及其收支方程后,把有效位能概念及其收支方程用于天气分析研究者日益增多。 大气中的水汽对天气变化有很大影响,在天气分     

一模式大气参考状态的计算与特征

在实现计算T106L19模式大气参考状态的基础上,给出了两套有限区域模式大气参考状态,并对其数理特征进行了研究。讨论了可供计算的大气参考状态模式和实现了具体的模式大气参考状态。结果表明,有限区域大气参考状态其空气熵比较符合数学Γ概率密度函数分布,且其低层总存在一个逆温层,但都随季节及大气环流本身有着规律变化。     

黑潮延伸体区域海表温度锋的季节变化对北太平洋风暴轴的影响

利用NOAA最优插值逐日海表温度(SST)资料和NCEP/NCAR的逐日大气再分析资料,本文分析了黑潮延伸体区域海表温度锋的变化对北太平洋风暴轴的影响。结果表明,黑潮延伸体区域海表温度锋位置的季节变化很弱,而其强度的变化则非常显著,北太平洋风暴轴强度与海表温度锋强度具有一致的协同变化。冬季黑潮延伸体区域海表温度锋强度最强,增强了其上空大气的斜压性,从平均有效位能向涡动有效位能的斜压能量转换以及从涡动有效位能向涡动动能的斜压能量转换均在黑潮延伸体区域显著增加,斜压涡旋在此区域生成更加频繁,在随西风向下游运动过程中不断从背景平均流中获得能量,从而导致北太平洋风暴轴增强,且将其中心轴线固定在黑潮延伸体区域上空,而夏季黑潮延伸体区域海表温度锋强度非常弱,其上空大气斜压性减弱,从平均有效位能向涡动有效位能的斜压能量转换以及从涡动有效位能向涡动动能的斜压能量转换均显著减少,斜压涡旋在此区域生成减少,导致北太平洋风暴轴减弱,且中心移至太平洋中部,位置偏北。     

一次梅雨锋暴雨过程中多尺度能量相互作用的研究I.理论分析

本文是讨论梅雨锋暴雨过程中多尺度能量相互作用问题的开始部分。为了分析梅雨锋暴雨过程中的多尺度能量相互作用,从z坐标系中的运动方程和热力学方程出发,把基本物理量分成大尺度背景场（>2000 km）、α中尺度（200~2000 km）和β中小尺度系统（< 200 km）分量,利用滞弹性近似,推导了大尺度背景场、α中尺度和β中小尺度系统三个尺度的动能方程和位能方程。能量方程中包含了各尺度动能之间的转换、位能之间的转换以及动能和位能之间的转换。动能方程主要包括各尺度动能之间转换项、动能输送项、水平气压梯度力做功项、垂直方向扰动气压梯度力做功项、浮力做功项、地转偏向力分量做功项以及摩擦力做功项。位能方程主要包括各尺度位能之间转换项、位能输送项、浮力做功项以及非绝热加热做功项。其中浮力做功项为位能和动能之间的能量转换项,是暴雨发生发展过程中比较关键的能量转换项。关于将能量方程用于梅雨锋暴雨过程中并且诊断能量相互作用影响暴雨发展和消亡过程的物理机制等问题,将在以后的研究中给出。     

三维静力适应过程中声重力波的特性和能量转换研究

为了研究三维静力适应过程的机理,推导三维静力适应方程组并导出声重力波的频散特征、解析解和能量转换关系以及位涡方程。结果表明,三维静力适应过程实际上就是三维声重力波和重力内波的频散过程,声重力波和重力内波的频率在水平方向上可以区分开来。声重力波的频率随着水平波数和垂直波数的增大而增大。取近轴近似,其解析解在空间上呈螺旋曲面,为大气中热通量和动量从一个区域向另一个区域的输送提供了一种机制,从而为研究大气提供了新的视角。垂直速度在动能与有效势能的转换、有效势能与有效弹性势能的转换中发挥着重要的作用,并且只发生在垂直方向上。在静力适应过程中总能量和位涡是守恒的。适应终态中有效势能比有效弹性势能大一个数量级。      

湿总位能达极小值时的大气特征

总位能达极小值时大气特征的研究,在有效能量理论和方法中占有重要地位。早在1956年,范·米根(Van Mieghem,J.)就利用极值定理得出了干总位能达极小值时的大气特征;不久,他又用变分法得出了相同的结果。但对于潮湿大气的总位能(湿总位能),尚无人进行过研究。 本文从湿总位能一阶导数等于零与二阶导数大于零入手,给出了湿总位能达极小值     

南海夏季风建立前后的大气能量收支

本文用总动能、总有效位能、扰动动能和扰动有效位能四个收支方程计算了1980年4-6月南海南部(0-15°N,100-120°E)夏季风建立前(4月1日-5月9日)和夏季风建立后(5月18日-6月25日)各时段的大气能量收支,并对其结果进行了分析讨论,发现:(1)总动能主要是在制造项G(K)(汇)与耗散项D(K)(源)间达到平衡,夏季风建立后源汇强度值都增大了40%左右。(2)非绝热加热所直接制造的有效位能并不重要,高层总有效位能的水平通量辐合、中低层与总动能间的转换和由于参考气压的变化而引起总有效位能的增减对于总有效位能的收支作用较大,其作用在夏季风建立前后也明显不同。(3)扰动动能同总动能一样主要在制造项G(K)(汇)与耗散项D(K)(源)间平衡。夏季风建立后源汇强度增强。(4)扰动有效位能主要由非绝热加热制造,夏季风建立后制造量增大了16倍多。夏季风建立前,扰动有效位能主要因参考气压的改变而减少;夏季风建立后,扰动有效位能主要被转换为扰动动能和平均有效位能。      

Available potential energy of the daily coastal circulation at Zadar (Croatia)

Summary The aim of this study is the evaluation of the sea breeze speed on the basis of its energy. Energetics of the sea breeze can be studied by means of the available potential energy (APE). Part of this energy is transformed into the kinetic energy of the sea breeze. Some similarity exists between the large scale processes of the circulation and the small coastal air circulation due to the fact that both circulations are triggered by the same physics, i.e., solenoidal activity of the baroclinic atmosphere. To evaluate the sea breeze speed, APE was calculated by use of the Lorenz’s equation (1955), and which is possible if the coastal circulation is considered to be a closed system in a hydrostatic equilibrium. For calculations and verifications hourly sea-surface temperatures, near-ground air temperatures and wind speed measurements, as well as the radio-sounding measurements at 12 UTC were used at the Zadar station (ϕ = 44° 08′ N, λ = 15° 13′ E), which is situated in the central part of the eastern Adriatic coast. Two days with an undisturbed sea breeze circulation were extracted using the methods for minimizing other atmospheric influences. Calculated hourly near ground sea breeze speeds obtained in this way were higher than the measured ones. With the assumption that some of the APE is transformed into the kinetic energy it is possible to obtain characteristic speed of the developed sea breeze with small discrepancies to the near-ground measurements. If 6.6% of the mean daily near ground APE was taken to be transformed to the mean daily kinetic sea breeze energy on the 29th and 4.2% on the 30th September 2002, the best agreement was obtained with the mean daily measured near ground sea breeze speed. This range of values can be attributed to inability to extract precise values for the lapse-rate needed in the APE sea breeze calculations. Results show similarities to the general circulation of the atmosphere, since about 10% of the APE is transformed to the kinetic energy of the sea breeze. On the other hand calculated wind speed at the lower branch of the borderline coastal circulation was not dependent on the integral value of the APE over the land, but on its value at the near-ground level.     

青藏高原东部暴雨的中尺度有效位能收支分析

针对2018年7月10-11日青藏高原东部一次暴雨过程,利用模式模拟资料分析了有效位能分布特征,成因及其对降水发展演变的影响.结果表明,有效位能主要分布在对流层低层4km以下和高层8-14km,高层有效位能和降水有更好的对应性西北冷平流和降水粒子下落的蒸发作用是低层有效位能高值中心的主要成因,而降水过程释放潜热带来的热...     

基于CA-FCM方法的飞机增雨效果检验及分析

采用河南省2013—2017年飞机增雨作业资料,利用CA-FCM方法进行增雨效果检验,以探究CA-FCM方法在河南区域飞机增雨效果检验中的合理性及适用性,并分析相对增雨率与季节、检验物理量、垂直积分液态含水量之间的关系。结果表明：CA-FCM方法应用于河南省飞机增雨效果检验,能够获得定量而合理的增雨效果。多数作业相对增雨率0%—40%,少数作业存在减雨效果。研究中春季、夏季、秋季相对增雨率分别为20.8%、22.4%、-22.6%。春季、夏季飞机增雨效果明显优于秋季,一半的秋季增雨作业呈减雨效果,这可能与作业云层可播性条件有较大关系,春季、夏季云层可播性条件优于秋季。显著性检验表明,65%的作业增雨效果显著。增雨作业区域的垂直积分液态含水量越大,相对增雨率显著增加。具有“作业前回波30—50 dBz”、“作业云层尺度较大”条件的作业,易产生一定增雨效果;作业云层回波20—30 dBz,易产生减雨效果;回波强度及面积的维持或增强对增雨效果有明显贡献。     

The Diabatic Heating and the Generation of Available Potential Energy: Results from NCEP Reanalysis

In the existing studies on the atmospheric energy cycle, the attention to the generation of available potential energy (APE) is restricted to its global mean value. The geographical distributions of the generation of APE and its mechanism of formation are investigated by using the three-dimensional NCEP/NCAR diabatic heating reanalysis in this study. The results show that the contributions from sensible heating and net radiation to the generation of zonal and time-mean APE (Gz) are mainly located in high and middle latitudes with an opposite sign, while the latent heating shows a dominant effect on Gz mainly in the tropics and high latitudes where the contributions from the middle and upper tropospheres are also contrary to that from the low troposphere. In high latitudes, the Gz is much stronger for the Winter Hemisphere than for the Summer Hemisphere, and this is consistent with the asymmetrical feature shown by the reservoir- of zonal and time-mean APE in two hemispheres, which suggests that the generation of APE plays a fundamental role in maintaining the APE in the global atmospheric energy cycle. The same contributions to the generation of stationary eddy APE (GSE) from the different regions related to the maintenance of longitudinal temperature contrast are likely arisen by different physics. Specifically, the positive contributions to GSE from the latent heating in the western tropical Pacific and from the sensible heating over land are dominated by the heating at warm regions, whereas those from the latent heating in the eastern tropical Pacific and from the sensitive heating over the oceans are dominated by the cooling at cold regions. Thus, our findings provide an observational estimate of the generation of eddy APE to identify the regional contributions in the climate simulations because it might be correct for the wrong reasons in the general circulation model (GCM). The largest positive contributions to the generation of transient eddy APE (GTE) are found to be at middle latitudes in the middle and upper tropospheres, where reside the strong local contributions to the baroclinic conversion from transient eddy APE to transient eddy kinetic energy and the resulting transient eddy kinetic energy.     

A theory for polar amplification from a general circulation perspective

Records of the past climates show a wide range of values of the equator-to-pole temperature gradient, with an apparent universal relationship between the temperature gradient and the globalmean temperature: relative to a reference climate, if the global-mean temperature is higher (lower), the greatest warming (cooling) occurs at the polar regions. This phenomenon is known as polar amplification. Understanding this equator-to-pole temperature gradient is fundamental to climate and general circulation, yet there is no established theory from a perspective of the general circulation. Here, a general circulation-based theory for polar amplification is presented. Recognizing the fact that most of the available potential energy (APE) in the atmosphere is untapped, this theory invokes that La-Niña-like tropical heating can help tap APE and warm the Arctic by exciting poleward and upward propagating Rossby waves.     

Budget analysis of mesoscale available potential energy in a heavy rainfall event over the eastern Tibetan Plateau: 青藏高原东部暴雨的中尺度有效位能收支分析

Using model simulated data, the distribution characteristics, genesis, and impacts on precipitation of available potential energy (APE) are analyzed for a heavy rainfall event that took place over the eastern Tibetan Plateau during 10–11 July 2018. Results show that APE was mainly distributed below 4 km and within 8–14 km. The APE distribution in the upper level had a better correspondence with precipitation. Northwestern cold advection and evaporation of falling raindrops were primary factors leading to positive anomalies of APE in the lower level, while positive anomalies of APE in the upper level were caused by a combination of thermal disturbances driven by latent heat and potential temperature perturbations resulting from the orography of the Tibetan Plateau. Budget analysis of APE indicated that APE fluxes and conversion between APE and kinetic energy (KE) were the main source and sink terms. Meridional fluxes of APE and conversion of KE to APE fed the dissipation of APE in the lower level. Vertical motion enhanced by conversion of APE to KE in the upper level was the major factor that promoted precipitation evolution. A positive feedback between APE and vertical motion in the upper level generated a powerful correlation between them. Conversion of KE to APE lasted longer in the lower level, which weakened vertical motion; whereas, northwestern cold advection brought an enhanced trend to the APE, resulting in a weak correlation between APE and vertical motion.摘要针对2018年7月10-11日青藏高原东部一次暴雨过程, 利用模式模拟资料分析了有效位能分布特征,成因及其对降水发展演变的影响.结果表明, 有效位能主要分布在对流层低层4km以下和高层8-14km, 高层有效位能和降水有更好的对应性西北冷平流和降水粒子下落的蒸发作用是低层有效位能高值中心的主要成因, 而降水过程释放潜热带来的热力扰动叠加高原大地形造成的位温扰动是导致高层有效位能高值的主要原因.有效位能收支分析表明, 有效位能的通量输送项以及与动能间的转换项是主要源汇项.低层有效位能的经向通量输送和动能向有效位能的转化补给了有效位能的耗散;高层有效位能向垂直动能转化增强垂直运动是促进降水发展演变的主要因素.高层有效位能与垂直运动之间的正反馈过程使得两者相关性较强;低层较长时间内均存在垂直动能向有效位能的转化, 削弱了垂直运动, 而西北冷平流使得低层有效位能有增强的趋势, 因此二者相关性较弱.     

Generation of available potential energy due to the long-wave radiation influx in the atmosphere

Investigated are the features of the distribution of the generation of available potential energy (APE) due to the influx of long-wave radiation in the atmosphere. The reanalysis (ERA-Interim) data of the European Center for Medium-Range Weather Forecast are used as the reference values of fields for computing APE generation. The obtained results indicate the influence of cloudiness and atmospheric stratification on APE generation due to the inflow of long-wave radiation which values are by 4–5 times smaller than the values of APE generation due to the phase transitions of moisture in the atmosphere.     

The Energy Budget of a Southwest Vortex With Heavy Rainfall over South China

Energy budgets were analyzed to study the development of an eastward propagating southwest vortex (SWV) associated with heavy rainfall over southern China(11-13 June 2008).The results show that kinetic energy(KE) generation and advection were the most important KE sources,while friction and sub-grid processes were the main KE sinks.There was downward conversion from divergent to rotational wind KE consistent with the downward stretching of SWVs.The Coriolis force was important for the formation and maintenance of the SWV.Convergence was also an important factor for maintenance,as was vertical motion during the mature stage of the SWV and the formation stage of a newly formed vortex(vortex B).The conversion from available potential energy(APE) to KE of divergent wind can lead to strong convection.Vertical motion influenced APE by dynamical and thermal processes which had opposite effects. The variation of APE was related to the heavy rainfall and convection;in this case,vertical motion with direct thermal circulation was the most important way in which APE was released,while latent heat release and vertical temperature advection were important for APE generation.     

The generation of available potential energy: a comparison of results from a general circulation model with observations

The generation of available potential energy (APE) in the space-time domain in January and July in a present-day climate simulation with a general circulation model (GCM) is compared with observations. An attempt is made to explain the differences. The generation is computed from the fields of diabatic heating and temperature. The heating is computed with the residual method, using UKMO (United Kingdom Meteorological Office) Unified Model GCM circulation data and ECMWF (European Centre for Medium-Range Weather Forecasts) initialized analyses for the period 1989–1992. The global value of the generation of APE is about 35% larger in the GCM climate than the value computed from the analyses. This is mainly because the generation of transient eddy APE in the GCM is too large, due to the more than 40% too large generation of transient eddy kinetic energy by baro-clinic processes. In most of the extratropics the local contribution to the generation of transient eddy APE in the GCM climate is more than twice as large as the contribution computed from the analyses. A possible qualitative explanation for this difference is presented.     

吉林省春季人工增雨潜力及指标的数值模拟研究

利用吉林省业务运行的中尺度数值模式WRF3.3.1,分析了2016年4月12日吉林省一次春季降水过程的人工增雨潜力,选取比湿、上升气流、K指数、冰面过饱和度、云水厚度共5种与人工增雨潜力密切相关的指标,作为吉林省春季人工增雨潜力判别的因子。结果表明：吉林省春季850 hPa比湿和K指数与降水量存在相关关系,比湿小于2.9 g·kg^-1几乎不产生降水,产生2 mm以上的降水比湿几乎均大于4.5 g·kg^-1,K指数大于22℃。将850 hPa比湿大于4.5 g·kg^-1、K指数大于22℃、积分云水含量大于0.2 mm、高层冰面过饱和度大于0和低层垂直速度大于0.4 m·s^-1作为强增雨潜力区的指标,并利用春季其他个例对该指标进行检验,发现该指标基本能够表征云内的动力、热力和微物理条件,可以作为人工增雨潜力区的判别指标。