斜压涡度的变化与台风暴雨的关系研究

台风暴雨作为台风引起的最主要灾害之一,一直被人们关注。台风常被认为是对称结构,但从实际状况来看台风的非对称性非常明显,所以有必要研究斜压性涡度在台风中的表现。在高分辨率数值模拟的基础上,通过引入斜压涡度的概念,分析和总结了斜压涡度在2009年台风“莫拉克”暴雨过程中的表现。通过模拟与分析得到如下的结果:斜压涡度和MPV对比,可以看出在登陆前和登陆后,明显低层斜压涡度有更强的异常信号,围绕台风内核呈现正负正的位相特点;从沿着台风中心时间剖面可以看出,登陆前斜压涡度低层多为负正负的位相,并且随着时间的推移,斜压涡度有从大气的高层向台风的移动中心传递的趋势,即在台风即将到达时原先的正涡度被替换为负涡度,所以对其移动有一定指示意义;在台风“莫拉克”过台湾岛时,其斜压涡度表现为负涡度消失,在山地附近有正涡度生成,完成过岛,台风中心被替换;斜压涡度的异常值主要位于大气的低层时,一般会产生较强的降水。      

“莫拉克”台风螺旋雨带与水平涡度的关系

利用实况资料和WRF模拟资料,分析2009年8月6—10日"莫拉克"台风在台湾地区造成强降水过程中台风螺旋雨带与水平涡度的关系。结果表明:模式较好地模拟出了本次台风暴雨的发生发展过程。在7日00时—9日00时,台风外围有两条螺旋雨带,一支位于台湾的中部偏南,一支位于台湾的南部,暴雨主要位于这两支螺旋雨带上;暴雨出现在环流上升支附近,在中低层,雨带对应着较大的指向东的水平涡度,且随着水平涡度大值区移动而移动,显示出两者较密切的联系;水平涡度的大值区与垂直涡度的大值区也有较好的对应关系,存在水平涡度向垂直涡度的转化;水平涡度的旋度正值区对应上升运动区,其旋度的大值区对应强的螺旋雨带与降水。当水平涡度减小时,若水平涡度的旋度正值区存在,雨带仍然可以维持。     

较小尺度涡旋与台风的相互作用及其对台风路径的影响

用一个准地转正压模式实施５组积分时间为５天的试验，研究台风环流与较小尺度涡旋之间的相互作用。结果指出，涡旋相互作用可以改变台风环流的非对称结构，进而引起台风移动偏离正常路径。     

水平涡度与夏季风环流变化

在斜压涡度发展理论的基础上，讨论了大尺度大气运动中水平涡度向垂直涡度转化的情况，并用以刻划夏季风变动。将声坐标中涡度方程的有关项在2坐标中分离出水平涡度向垂直涡度转化的主要项，经尺度分析得出，在对流层中、高层，这些转化项中的水平分量是大尺度大气斜压性涡度发展的主要因子。通过对1998年4—8月的GAME(GEWEX Asian Monsoon Experiment，全球能量和水分循环试验(GEWEX)的子试验：亚洲季风试验，简称GAME)再分析资料进行实际计算发现，转化项在东亚夏季风上升支的600 hPa及以上层次对P坐标垂直涡度的局地变化贡献很大，不能忽略。同时发现水平涡度向垂直涡度的转化对南海季风爆发和江淮梅雨入梅及其发展过程均有指示性意义。南海季风爆发以后，在中国东南部地区，转化项的大小与夏季风的活跃和中断等活动吻合，转化项的变化反映了西太平洋副高在中国大陆的活动规律。     

数值模式垂直分辨率对台风大涡模拟的影响

随着计算能力的提升,台风数值模拟大量采用了大涡尺度模拟,其水平分辨率已达到数10 m的量级,而垂直分辨率提升不大,其问题是数值模式的垂直分辨率对台风大涡模拟的影响如何?因此,本文利用WRF(Weather Research and Forecasting)模式开展理想台风模拟,在不同的模式垂直层次(42,69和90层)...     

中尺度涡旋和台风涡旋相互作用的数值研究

用一个高分辨率的正压涡度方程模式，实施了4组积分时间为24h的试验，研究了台风环流区域内中尺度涡旋的不同初始径向位置条件下与台风涡旋的相互作用，结果表明，中尺度涡旋初始径向位置不同，可以引起随后扰动相对涡度场演变特征的改变。     

双台风相互作用的数值研究

无基本气流的情况下，应用无辐散正压模式对初始呈西北-东南等方位的双台风相互作用进行数值研究，探讨了非对称理论在双台风相互作用中的应用。试验结果表明：双台风的运动特征能够运用非对称理论进行解释；非对称流函数场中，通风气流分别控制着双台风的移动，同时双台风的移动对其对应的非对称结构具有反作用。试验还表明，台风非对称结构内小尺度涡旋的强度及其绕台风中心逆时针旋转的快慢与台风路径的摆动关系密切：模式可以模拟出台风逆时针打转、“蛇形”摆动等异常移动路径。     

台风碧利斯的位涡场分析

利用WRF数值模式对2006年7月14-15日由0604号登陆台风碧利斯（Bilis）引发的特大暴雨过程进行了数值模拟，分析了这次暴雨产生的原因。结果表明：台风自身的非对称结构是暴雨维持的机制；位涡倾斜下传致使深对流出现；低层暖湿空气沿湿等熵面的爬升与下沉冷空气交汇，对流强烈发展，产生暴雨。     

风垂直切变和下滑倾斜涡度发展

本文根据绝热无摩擦的饱和湿空气具有湿位涡守恒的特征，研究湿斜压过程中涡旋垂直涡度的发展。由于传统的等熵位涡分析的应用受等熵面倾斜的限制，本文进而发展了Z坐标及P坐标中的倾斜涡度发展理论。指出在梅雨锋南侧暖湿区的北端，以及梅雨锋北边界附近，湿等熵面十分陡立，是涡旋发展及暴雨发生的重要地区。还证明了倾斜涡度发展的必要条件和充分条件。指出在对流不稳定的饱和大气中，倾斜涡度发展必伴有低空急流存在。对1991年6月12～15日江淮流域暴雨过程的诊断表明，湿位涡分析，尤其是等压面上湿位涡量Pm1和Pm2的分析不仅在中高纬有效，在低纬度及低对流层均十分有效，是暴雨诊断和预报的有力工具。     

全型垂直涡度倾向方程的另一导出形式

地球大气运动同时满足牛顿第二定律与热力学第一定律,利用大气动力与热力方程对热力与动力变量的联系,直接将变形处理后的大气运动方程(涡度方程)与热力学方程结合起来,导出了显式包含热力与动力作用的全型垂直涡度倾向方程。     

INTERACTIONS OF MULTIPLE TYPHOONS AND RELATIONSHIPS OF HORIZONTAL AND VERTICAL VORTICITY

Three typhoons, Goni, Morakot and Etau which were generated in Western Pacific in 2009, are successfully simulated by the WRF model. The horizontal and vertical vorticity and their interaction are analyzed and diagnosed by using the simulation results. It is shown that their resultant vectors had a fixed pattern in the evolution process of the three typhoons: The horizontal vorticity converged to the tropical cyclone (TC) center below 900 hPa level, flowed out from it at around 900 to 800 hPa, and flowed in between 800 hPa and 700 hPa. If multiple maximum wind speed centers showed up, the horizontal vorticity converged to the center of the typhoon below the maximum wind speed center and diverged from the TC center above the maximum wind speed center. At low levels, the three typhoons interacted with each other through vertical circulation generated by the vortex tube. This circulation was mainly generated by the eastward or westward horizontal vorticity vectors. Clouds and precipitation were generated on the ascending branch of the vertical circulation. The vortex tubes often flowed toward the southwest of the right TC from the northeast of the left TC. According to the full vorticity equation, the horizontal vorticity converted into the vertical vorticity near the maximum wind speed center below 850 hPa level, and the period of most intense conversion was consistent with the intensification period of TC, while the vorticity advection was against the intensification. The vertical vorticity converted into the horizontal vorticity from 800 hPa to 600 hPa, and the wind speed decreased above the maximum wind speed region at low levels.     

A NOVEL METHOD FOR CALCULATING VERTICAL VELOCITY: A RELATIONSHIP BETWEEN HORIZONTAL VORTICITY AND VERTICAL MOVEMENT

The present work provides a novel method for calculating vertical velocity based on continuity equations in a pressure coordinate system.The method overcomes the disadvantage of accumulation of calculating errors of horizontal divergence in current kinematics methods during the integration for calculating vertical velocity,and consequently avoids its subsequent correction.In addition,through modifications of the continuity equations,it shows that the vorticity of the vertical shear vector(VVSV) is proportional to-ω,the vertical velocity in p coordinates.Furthermore,if the change of ω in the horizontal direction is neglected,the vorticity of the horizontal vorticity vector is proportional to-ω.When ω is under a fluctuating state in the vertical direction,the updraft occurs when the vector of horizontal vorticity rotates counterclockwise;the downdraft occurs when rotating clockwise.The validation result indicates that the present method is generally better than the vertical velocity calculated by the ω equation using the wet Q-vector divergence as a forcing term,and the vertical velocity calculated by utilizing the kinematics method is followed by the O'Brien method for correction.The plus-minus sign of the vertical velocity obtained with this method is not correlated with the intensity of d BZ,but the absolute error increases when d BZ is =40.This method demonstrates that it is a good reflection of the direction of the vertical velocity.     

THE RELATIONSHIP BETWEEN HORIZONTAL VORTICITY INDUCED BY VERTICAL SHEAR AND VERTICAL MOTION DURING A SQUALL LINE PROCESS

The horizontal vorticity equation used in this study was obtained using the equations of motion in the pressure coordinate system without considering friction, to reveal its relationship with vertical shear. By diagnostically analyzing each term in the horizontal vorticity equation during a squall line process that occurred on 19 June 2010, we found that the non-thermal wind term had a negative contribution to the local change of upward movement in the low-level atmosphere, and that its impact changed gradually from negative to positive with altitude, which could influence upward movement in the mid- and upper-level atmosphere greatly. The contribution of upward vertical transport to vertical movement was the largest in the low-level atmosphere, but had negative contribution to the upper-level atmosphere. These features were most evident in the development stage of the squall line. Based on analysis of convection cells along a squall line, we found that in the process of cell development diabatic heating caused the subsidence of constant potential temperature surface and non- geostrophic motion, which then triggered strong convergence of horizontal acceleration in the mid-level atmosphere and divergence of horizontal acceleration in the upper-level atmosphere. These changes of horizontal wind field could cause a counterclockwise increment of the horizontal vorticity around the warm cell, which then generated an increase of upward movement. This was the main reason why the non-thermal wind term had the largest contribution to the strengthening of upward movement in the mid- and upper-level atmosphere. The vertical transport of large value of horizontal vorticity was the key to trigger convection in this squall line process.     

再论水平和垂直分辨率之间的协调

在计算域面积为常数的约束下，给出了几种不同精度的平流方程和ω方程的“最优垂直网格距”，以及在极限情况下的“协调垂直网格距”的表达式。还讨论了在水平和垂直分辨率不协调时数值解对能量传播和计算稳定性的影响。     

MCC转为带状MCSs过程中水平涡度的变化与暴雨的关系

利用实况资料和WRF中尺度数值模式对2010年6月18—19日的一次MCC转带状MCSs的暴雨过程进行数值模拟与诊断分析。结果表明:850 hPa西南涡和切变线的形成与维持是影响此次暴雨产生的中尺度系统,前期MCC的形成到成熟以低涡降水为主,后期的圆形MCC转为带状MCSs主要为切变线降水。在雨区附近,u、v的垂直切变所形成的强水平涡度造成的旋转,对应垂直环流的上升支可触发暴雨产生,垂直方向上u、v不同的分布可形成不同的垂直环流。低涡与切变线附近的水平涡度有明显差异,这种差异导致暴雨形成的原因不同,低涡暴雨主要由v的垂直切变造成,切变线暴雨主要由u、v的垂直切变共同作用,本次过程中v的垂直切变构成了沿切变线的东西向雨带,u的垂直切变沿纬向的不均匀性引起的垂直运动与切变线上MCSs的生成、发展和多雨团的形成关系密切。低涡、切变线降水中心附近的正倾侧项（水平涡度向垂直正涡度转换）也有类似的差异,低涡的转换主要由?v/?p<0决定,切变线的转换主要由-?u/?p>0决定。水平涡度向垂直涡度的转换尺度较小,易在平均状态下被忽略。倾侧项主要有利于暴雨的加强,但对西南涡、切变线的发展贡献较小。      

RELATIONSHIP BETWEEN THE VARIATION IN HORIZONTAL VORTICITY AND HEAVY RAIN DURING THE PROCESS OF MCC TURNING INTO BANDED MCSS

Using real-time data and the WRF mesoscale model,a heavy rain event in the process of Mesoscale Convective Complex(MCC) turning into banded Mesoscale Convective Systems(MCSs) during 18-19 June 2010 is simulated and analyzed in this paper.The results indicated that the formation and maintenance of a southwest vortex and shear line at 850 h Pa was the mesoscale system that affected the production of this heavy rain.The low-vortex heavy rain mainly happened in the development stage of MCC,and the circular MCC turned into banded MCSs in the late stage with mainly shear line precipitation.In the vicinity of rainfall area,the intense horizontal vorticity due to the vertical shear of u and v caused the rotation,and in correspondence,the ascending branch of the vertical circulation triggered the formation of heavy rain.The different distributions of u and v in the vertical direction produced varying vertical circulations.The horizontal vorticity near the low-vortex and shear line had obvious differences which led to varying reasons for heavy rain formation.The low-vortex heavy rain was mainly caused by the vertical shear of v,and the shear line rainfall formed owing to the vertical shear of both u and v.In this process,the vertical shear of v constituted the EW-trending rain band along the shear line,and the latitudinal non-uniformity of the vertical shear in u caused the vertical motion,which was closely related to the generation and development of MCSs at the shear line and the formation of multiple rain clusters.There was also a similar difference in the positively-tilting term(conversion from horizontal vorticity to vertical positive vorticity) near the rainfall center between the low-vortex and the shear line.The conversion in the low vortex was mainly determined by бv/бp0,while that of the shear line by бu/бp0.The scale of the conversion from the horizontal vorticity to vertical vorticity was relatively small,and it was easily ignored in the averaged state.The twisting term was mainly conducive to the reinforcement of precipitation,whereas its contribution to the development of southwest vortex and shear line was relatively small.     

THE IMPACT OF HORIZONTAL RESOLUTION ON THE INTENSITY AND MICROSTRUCTURE OF SUPER TYPHOON USAGI

Typhoon Usagi (1319) was simulated by using the Advanced Weather Research and Forecasting numerical model (WRF) with different horizontal resolution to understand the impact of horizontal resolution on the intensity and characteristics of typhoon’s microstructures (including dynamic and microphysical structure). The simulated results show that the improvement of horizontal resolution from 5 km to 1 km has little impact on the track which is comparable to real results, but has a significant impact on the intensity and microstructures, and especially, the impact on wind speed at 10 m height, the vertical movement and precipitation intensity is the greatest. When the resolution is increased to 1 km, the intensity and characteristics of typhoon’s microstructures can be simulated better. In lower resolution simulations, some structural characteristics, including more asymmetrical and more outward tilted eyewall, and less water vapor flux on sea surface, work together to weaken typhoon intensity.     

一次多弓状中尺度雨带的成因机理及其与水平涡度的关系

用WRF中尺度数值模式、NCEP/NCAR再分析资料、多普勒雷达观测资料等,对2018年5月5日发生在我国华中地区的一次多弓状雨带降水过程的形成机理及其与水平涡度的关系进行分析发现:雨带发生在切变线南侧的西南气流中,多弓状雨带出现前,大尺度高低层气旋式曲率的水平涡度和对流有效位能为降水提供了有利于上升运动的背景场。弓状雨带最初形成在对流不稳定和低层气流辐合条件下,局地强降水引发的下沉运动使中低层大风出现,大风中心南侧反气旋式的环流与背景场中的西南气流汇合构成了短波槽,尾部雨带出现在短波槽中,弓状头部生成于北侧的气旋式风场切变中,大风中心相较南北两侧更快的移速使雨带中部向前侧凸起。流场上的短波槽发生在700 hPa以下,在西南气流的背景场下,该槽向前后两侧的双向传播是多弓状雨带形成的重要触发因子。中尺度弓状雨带附近低层的水平涡度在强盛期、减弱期和消散期有着明显不同的结构特征;而在高层,雨带发展时和强盛期都为气旋式水平涡度控制,减弱期多为反气旋式水平涡度控制。