Application of the Energy-Casimir Method to the Study of Mesoscale Disturbance Stability

Taking into account the effect of moisture, we derive a three-dimensional pseudoenergy wave-activity relation for moist atmosphere from the primitive zonal momentum and total energy equations in Cartesian coordinates by using the energy-Casimir method. In the derivation, a Casimir function is introduced, which is a single-wlue function of virtual potential temperature. Since the pseudoenergy wave-activity relation is constructed in the ageostrophic and nonhydrostatic dynamical framework, it may be applicable to diagnosing the stability of mesoscale disturbance systems in a steady-stratified atmosphere. The theoretical analysis shows that the wave-activity relation takes a nonconservative form in which the pseudoenergy wave-activity density is composed of perturbation kinetic energy, available potential energy, and buoyant energy. The local change of pseudoenergy wave-activity density depends on the combined effects of zonal basic flow shear, Coriolis force work and wave-activity source or sink as well as wave-activity flux divergence. The diagnosis shows that horizontal distribution and temporal trend of pseudoenergy wave-activity density are similar to those of the observed 6-h accumulated surface rainfall. This suggests that the pseudoenergy wave-activity density is capable of representing the dynamical and thermodynamic features of mesoscale precipitable systems in the mid-lower troposphere, so it is closely related to the observed surface rainfall. The calculation of the terms in the wave-activity relation reveals that the wave-activity flux divergence shares a similar temporal trend with the local change of pseudoenergy wave-activity density and the observed surface rainfall. Although the terms of zonal basic flow shear and Coriolis force contribute to the local change of pseudoenergy wave-activity density, the contribution from the wave-activity flux divergence is much more significant.     

Analysis of Pseudomomentum Wave-Activity Density in a Heavy Rainfall Event in East China

Taking into account moisture in virtue of general potential temperature,the author derive a three-dimensional(3D) pseudomomentum wave-activity relation for the moist atmosphere from the primitive equations in Cartesian coordinates using the Momentum-Casimir method.Since the wave-activity relation is constructed in an ageostrophic and non-hydrostatic dynamical framework,it may be applicable to diagnosing the evolution and propagation of mesoscale systems leading to heavy rainfall.The theoretical analysis shows that,besides the local change of wave-activity flux divergence and source or sink,the wave-activity relation includes two additional forcing terms.The first is the zonal gradient of difference between general potential temperature and potential temperature perturbations,and the second is the covariance of the solenoid and gradient of water vapor,denoting the direct influence of moisture on wave-activity density.The wave-activity density was applied to a heavy precipitation event occurring in the Jianghuai region of China.The calculation showed that the wave-activity density was consistent with 6-h accumulated precipitation observations,in terms of both spatial distribution and temporal tendency.This suggested that the disturbance represented by wave-activity density was closely related to the heavy precipitation.Although the wave-activity flux divergence and the covariance of the solenoid and gradient of water vapor made the primary contribution to the local change of wave-activity density,the covariance was more remarkable.The zonal gradient of difference between general potential temperature and potential temperature perturbations made a weaker contribution to the waveactivity density.     

Energy-Casimir方法在中尺度扰动稳定性研究中的应用

考虑湿空气中的水汽效应,引进Casimir函数(它是虚位温的单值函数),在x方向动量方程和总能量方程的基础上,采用Energy-Casimir方法建立了三维非地转平衡和非静力平衡的拟能量波作用方程,由于该方程建立在非地转平衡和非静力平衡的动力框架下,因此可用于讨论层结稳定大气内中尺度扰动系统的发展演变.理论分析表明,拟能量波作用方程具有非守恒形式,其中的拟能量波作用密度主要由扰动动能、有效化能和浮力能三部分组成;拟能量波作用密度局地变化除了受拟能量波作用通量散度影响之外,纬向基本气流切变、科氏力作功以及山非绝热加热和水汽相变所构成的波作用源汇项对其也都有贡献.诊断分析结果表明,对流层中低层的拟能量波作用密度与观测的6 h累积地面降水在水平空间分布和时间演变趋势上比较接近,说明拟能量波作用密度能够较好地抓住强降水区上空对流层中低层动力场和热力场的扰动特征,并在一定程度上可以有效地表征降水系统的发展演变,因而与地面降水量存在紧密联系.波作用方程各项的计算分析表明,波作用通量散度与拟能量波作用密度局地变化的倾向以及强降水区的变化比较一致,并且在强度上强于纬向基本气流切变项和科氏力作功项,因此波作用通量散度对拟能量波作用密度的局地变化具有重要贡献.     

PV-based wave-activity density and its application to tracing heavy precipitation

This paper is focused on the tracking of heavy precipitation by detecting strong wave activities in precipitating atmosphere. Based on the generalized moist potential vorticity (GMPV), a new wave-activity density and its wave-activity relation are first derived. The wave-activity density, which is the second-order portion of GMPV and quadratic in disturbance, is then applied to a heavy-rainfall event in North China. It is shown that the wave-activity density contains the vertical shear of wind perturbation, vertical vorticity perturbation and the spatial gradients of latent heating function perturbation associated with the moisture condensation. Due to these important characteristics of precipitating atmosphere, the wave-activity density shows strong anomalies over the precipitation region. The total GMPV and its basic-state and first-order components are also analyzed as comparisons. The result shows that the basic-state GMPV is not capable of diagnosing precipitation, while the total GMPV and the first-order GMPV, although present strong anomalies, are not capable of distinguishing precipitation and non-precipitation areas. This is likely due to the basic state information contained in GMPV and its basic-state and first-order components, which has no direct relation to the precipitation. The spatial distribution of wave-activity density further verifies its capability on detecting and tracing heavy precipitation. Moreover, the statistical result reveals the wave-activity density has a high correlation coefficient with the observational rainfall in a long time series and passes through the significance test.     

2009年7月广西一次暴雨过程的数值模拟和诊断分析

运用WRF模式对2009年7月发生在广西地区的一次暴雨过程进行了数值模拟,并利用模拟结果进行诊断分析.结果表明,模式能够合理地再现此次暴雨天气过程.在对流层中低层,水汽通量散度的负高值区、假相当位温广义波作用量密度和z-螺旋度的正高值区,与强降水落区都存在较好的对应关系;水汽通量散度负值中心大小及负值区向上伸展的高度、...     

2009年7月广西一次暴雨过程的数值模拟和诊断分析

运用WRF模式对2009年7月发生在广西地区的一次暴雨过程进行了数值模拟,并利用模拟结果进行诊断分析。结果表明,模式能够合理地再现此次暴雨天气过程。在对流层中低层,水汽通量散度的负高值区、假相当位温广义波作用量密度和z-螺旋度的正高值区,与强降水落区都存在较好的对应关系;水汽通量散度负值中心大小及负值区向上伸展的高度、假相当位温广义波作用量密度的高值中心值,与降水强度之间存在一定的相关性;z-螺旋度的强度变化对降水强度的增大和减弱也具有较好的指示意义。     

强降水过程中热力切变平流参数的诊断分析

在以往研究的基础上, 本文把对流涡度矢量的垂直分量、水平散度和广义位温的垂直梯度有机地结合起来, 引入热力切变平流参数的概念。本文针对两次强降水过程, 利用NCEP/NCAR全球最终分析资料对热力切变平流参数进行诊断分析, 结果表明, 热力切变平流参数能够比较准确地综合表征雨区上空水平风场切变和湿等熵面漏斗状向下伸展等动力学和热力学典型的垂直结构特征, 因而该参数与降水系统的发展演变密切相关, 与观测的6小时累积地面降水区存在一定的对应关系; 在空间水平分布和时间演变趋势上, 热力切变平流参数的异常值区覆盖着观测的6小时累积地面降水区; 该参数在降水区内表现为强信号, 而在非降水区表现为弱信号。影响热力切变平流参数发展演变的因素分析表明, 该参数倾向方程中通量散度项的异常值区覆盖着观测的6小时累积地面降水区, 表明雨区内通量散度项导致的热力切变平流参数变化比较明显, 其中纬向风速与经向风速相互作用的贡献是不容忽略的。     

“7.21” 暴雨过程动力因子分析和预报研究

针对2012年7月21～22日发生在我国华北地区的暴雨过程,利用美国全球预报系统资料对湿热力平流参数、对流涡度矢量的垂直分量、热力波作用密度、热力位涡波作用密度、热力位势散度波作用密度和湿斜压涡度等动力因子进行计算和诊断分析,结果表明,该暴雨过程是由高、低空急流、高空槽、副热带高压、冷锋和辐合切变线等多个天气系统共同作用造成的。降水区具有垂直上升运动强烈,垂直热量输送明显,湿等熵面向下伸展和水平风垂直切变显著等动、热力学特征。湿热力平流参数等动力因子综合反映了上述动、热力垂直结构特征,因而与6小时观测降水的发展移动有一定相关性。全球预报系统48小时预报的动力因子高值区在走向和落区上与6小时观测降水区比较接近,代表动力因子对降水落区有一定的指示意义。利用全球预报系统的预报场资料对动力因子暴雨预报方程进行计算,结果表明,在降水中心位置预报方面,动力因子降水预报比全球预报系统本身的降水预报更接近观测实况。ETS（Equitable Threat Score）评分计算表明,对于降水的早期预报,动力因子降水预报评分略高于全球预报系统本身的降水预报评分,说明动力因子暴雨预报方程有一定的降水预报能力,可以应用到实际天气业务预报中。     

The Relationship Between Abnormal Meiyu and Medium-Term Scale Wave Perturbation Energy Propagation Along the East Asian Subtropical Westerly Jet

The East Asian subtropical westerly jet(EASWJ) is one of the most important factors modulating the Meiyu rainfall in the Yangtze-Huaihe River Basin, China. This article analyzed periods of the medium-term EASWJ variation,wave packet distribution and energy propagation of Rossby waves along the EASWJ during Meiyu season, and investigated their possible influence on abnormal Meiyu rain. The results showed that during the medium-term scale atmospheric dynamic process, the evolution of the EASWJ in Meiyu season was mainly characterized by the changes of3-8 d synoptic-scale and 10-15 d low-frequency Rossby waves. The strong perturbation wave packet and energy propagation of the 3-8 d synoptic-scale and 10-15 d low-frequency Rossby waves are mostly concentrated in the East Asian region of 90°-150°E, where the two wave trains of perturbation wave packets and wave-activity flux divergence coexist in zonal and meridional directions, and converge on the EASWJ. Besides, the wave trains of perturbation wave packet and wave-activity flux divergence in wet Meiyu years are more systematically westward than those in dry Meiyu years, and they are shown in the inverse phases between each other. In wet(dry) Meiyu year, the perturbation wave packet high-value area of the 10-15 d low-frequency variability is located between the Aral Sea and the Lake Balkhash(in the northeastern part of China), while over eastern China the wave-activity flux is convergent and strong(divergent and weak), and the high-level jets are strong and southward(weak and northward). Because of the coupling of high and low level atmosphere and high-level strong(weak) divergence on the south side of the jet over the Yangtze-Huaihe River Basin, the low-level southwest wind and vertically ascending motion are strengthened(weakened), which is(is not)conducive to precipitation increase in the Yangtze-Huaihe River Basin. These findings would help to better understand the impact mechanisms of the EASWJ activities on abnormal Meiyu from the perspective of medium-term scale Rossby wave energy propagation.     

台风莫拉克登陆期间的中尺度波动特征分析

利用波作用理论对台风莫拉克登陆期间的降水进行诊断分析。结果表明:波作用密度异常能在一定程度上指示暴雨雨区发展移动,其异常值的空间分布能够反映雨区上空动力场和热力场的典型垂直结构特征。台风内中尺度波动与暴雨落区宏观上具有一定联系。为了详细研究台风内部的波动特征,利用WRF(Weather Research and Forecasting model)模式模拟的高分辨率资料对台风登陆过程中波动特征进行分析,低波数波动的传播主导强对流的非对称分布,2波在登陆初期对对流分布起着关键作用,中尺度波动中同时存在涡旋罗斯贝波以及重力惯性波的特征,对登陆期间涡旋混合的现象有重要作用。     

一次东风波暴雨过程诊断分析

利用常规气象资料和NCEP 1°×1°再分析资料,结合自动站加密资料对2009年9月29日20:00至10月1日20:00发生在浙江东部沿海的一次东风波暴雨过程进行了分析.结果发现:0916号台风"凯萨娜"外围环流为此次东风波的形成提供了扰动作用,副热带高压的加强使得低层形成了明显的东南急流,为暴雨或强降水的发生提供了...     

波流相互作用与波动传播模态

波和流是大气中两种最基本的运动形式,两者之间的相互作用可以导致千变万化的天气现象。波流相互作用理论是大气动力学的基本理论之一,该理论的研究具有重要的理论价值和科学意义。波流相互作用的研究主要包括两方面:一方面是可以描述基本气流对波强迫作用的“波作用”（守恒）方程的研究,另一方面是可以描述波对基本气流反馈作用的E-P通量以及波形变、传播等理论的研究。波流相互作用的研究不仅在理论上已取得重要进展,例如, E-P通量的提出,剩余环流的引进,广义E-P通量的出现,三维E-P通量的建立,波作用守恒方程、波动突变、波流稳定性结构、波形变及其大圆路径、低频波遥相关等理论的发展,而且在实际应用上也取得丰硕成果,如科学地解释了赤道平流层东西风准两年振荡、极地平流层爆发性增温、瞬变波对阻高的维持和高空急流加速以及大气低频波遥相关等,特别是为预测行星波的传播,研究风暴轴和诊断分析实际大气中波能集中区和发散区提供了理论基础和科学方法。作者从小振幅和有限振幅扰动两方面回顾了国内外波流相互作用和低频波传播理论的研究进展,重点介绍了大尺度环流系统波流相互作用和波动传播模态的最新研究成果,提出了不同动力、热力背景下多尺度波流相互作用机理及其理论模型,建立了非线性大气动力学突变及其稳定性结构等理论。相对来说,热源强迫和地形强迫引起的波流相互作用中稳定性问题的研究一直比较薄弱,特别是关于大气水分循环过程和青藏高原等复杂大地形影响下不同尺度系统波流相互作用的研究,这也是未来波流相互作用研究的一个重要内容。     

集合动力因子暴雨预报方法研究

介绍了广义位温、湿热力平流参数、热力螺旋度、热力散度垂直通量、广义湿位涡、力管涡度、热力力管涡度、二级位涡、对流涡度矢量和波作用密度等宏观物理量的定义及其物理意义。个例分析表明,这些动力因子与降水系统发展演变密切相关,对地面观测降水有一定的指示作用。这主要是因为：（1）这些因子能够描述降水系统的动、热力垂直结构等共性特征;f2）这些因子大部分包含广义位温,而广义位温又与凝结潜热和相对湿度有关,因而这些因子也能描述降水系统的水汽场结构特点。以这些动力因子为基础建立了集合动力因子预报方法,该方法首先建立以GFS预报场资料为基础的单动力因子降水预报方程,然后根据其与观测降水的相关性,定义权重函数,对多个动力因子的降水预报进行权重平均,最后得到集合动力因子的降水预报。该预报方法可以充分发挥多个动力因子的优势,比较全面地反映暴雨过程的共性特征。长时间序列的统计检验表明,集合动力因子的降水预报评分略高于全球预报系统（GFS）模式自身的降水预报评分,表现在降水落区预报方面,集合动力因子的预报效果略优于GFS模式的自身预报,然而,在降水强度预报方面,集合动力因子和GFS模式都略有过度预报。集合动力因子预报方法计算量小,容易移植,可以提供降水预报产品,为预报员做暴雨预报提供支持。     

AGEOSTROPHIC THEORY OF ZONAL FLOW ACCELERATION AND WAVE-ACTIVITY CONSERVATION LAW

Motivated by ageostrophic interactions of wave and basic flow,the generalized relationships between 3-dimensional Eliassen-Palm flux and basic flows,which are suitable for small-amplitude and finite-amplitude disturbances,are derived.The local area-averaged and density-weighted mean flows are chosen as the basic flows.Under the assumption that the steady basic flows vary slowly in time and space,a quasi-conservative law of small amplitude wave activity is derived from Ertel's potential vorticity equation in isentropic coordinates. The expressions of the new 3-D Eliassen-Palm flux and wave activity are presented in terms of Eulerian quantities so that they can be readily calculated by using observation data or model output data.     

一次梅雨暴雨过程的数值模拟

运用中尺度暴雨MRM模式,采用常规报文资料作为初始场,对2003年7月8-10日的一次江淮地区暴雨过程进行数值模拟。结果表明：该模式对降水场模拟结果同实况基本相似,模式对暴雨的位置、强度、中心都有较好的模拟,嬲评分较高;西南气流对水汽的输送作用及江淮地区上空水汽通量的高值区,为暴雨的形成与维持提供了重要的水汽条件,水汽辐合区与暴雨落区相对应;中低层辐合、高层辐散的散度垂直分布形势,对暴雨的发生提供了十分有利的动力条件;强降雨出现在低层正涡度中心和负散度中心附近。     

一次台风暴雨过程的数值模拟和中尺度分析

利用改进的有限区域数值预报模式（AREM）,对“艾利”台风在福建省登陆所造成的特大暴雨过程进行了数值模拟;采用空间带通滤波技术,对模拟结果进行尺度分离,揭示出对此次暴雨天气过程有直接影响的中尺度系统,即中尺度低压和中尺度辐合线;对这些中尺度系统的物理量场特征和它们与强降水的关系进行了分析研究。结果表明：强降水与中尺度系统的散度场有较好的对应关系,中尺度系统与地形相互作用形成很强的辐合抬升作用是造成中尺度暴雨的直接原因。     

NUMERICAL SIMULATION AND MESOSCALE ANALYSIS OF A TORRENTIAL RAIN CAUSED BY TYPHOON

A heavy storm rainfall caused by Typhoon Acre (No.0418) when landing at Fujian has been successfully simulated by using AREM model. The simulation result is scale-separated by spatial band-pass filtering, which reveals the mesoscale low pressure and convergence line that has direct impact on this rainfall process. The physical characteristics of the two mesoscale systems and their relation with rainfall are also analyzed. Study shows that there exists a well corresponding relationship between the storm rainfall and mesoscale divergence and strong updraft arising from the convergence, which is caused by the interactions between the mesoscate systems and topographic features, and is directly responsible for the rainfall.     

HLAFS显式云降水方案及其对暴雨和云的模拟(II)暴雨和云的模拟

在HLAFS业务数值预报模式的动力框架下,利用文章(I)所述的显式云降水方案,对一次暴雨过程和伴随着的云物蓝砸淮伪?雨过程和伴随着的云物泪果表明,显式方案对降水落区和强降水中心位置的预报较原HLAFS的大尺度饱和凝结方案有明显改进.模式能合理地揭示出暴雨发生、发展过程中的云系演变规律和云物理过程.冰相过程对降水、中尺度热力和动力场有明显影响,特别是冰相过程有利于降水的早期的形成速率.与卫星TBB资料的对比分析表明,引进显式方案后,模式能较合理地模拟出云系的轮廓、位置、范围、强度、生消和移向,模式模拟出的云顶温度与卫星测量出的云顶温度较为一致.     

贵州大暴雨个例形成机制数值模拟

利用3层嵌套的中尺度数值模式MM5 V3.5,模拟了2007年6月24～25日发生在贵州中南部的一次大暴雨过程.利用模式输出的高分辨率资料,对这次暴雨天气及中尺度低涡的形成机制进行了诊断分析.模式较成功地模拟出了中尺度系统的演变和降水的分布特征.中尺度低涡的发展、稳定维持是造成贵州这次大暴雨天气的直接原因.暴雨、大暴雨出现在低涡的西南侧.在低层正涡度、辐合、强烈的上升运动和高层负涡度、辐散的有利配置下,形成深厚的上升运动柱,这种中尺度动力配置结构,不仅与暴雨区和暴雨发生时段相对应,而且是引起此次暴雨的中尺度低涡发展和持续的动力机制之一.暴雨区与强烈上升运动区,正涡度区相对应.     

2005年7月一次大暴雨过程的模拟和诊断分析

基于2005年7月9—10日河南、安徽等地一次大暴雨的巨大影响,利用中尺度模式（MM5）对此次过程进行了模拟,并使用NCEP/NCAR再分析资料和模式输出产品作了多种物理量诊断分析,结果表明,贝加尔湖附近阻高、下游的东北冷涡及其伴随的高空槽造成了有利的环流形势,低层切变线及急流是此次暴雨过程的最主要影响系统。散度、涡度、垂直速度、螺旋度及位温的分布和演变反映出在此次降水发生过程中,暴雨区出现了很强的辐合上升运动,中低层大气层结不稳定性强,上下层大气物质交换强烈,在暴雨区上空螺旋度呈＂下正上负＂的垂直结构,螺旋度正的大值区对应强降水中心;水汽通量散度的分布说明暴雨区有充足的水汽供应,而锋生条件为降水的形成和维持提供了一定的能量。