An Investigation into Effect of Randomly Distributed Small Scale

Previous studies concerning the interaction of dual vortices have been made generally in the deterministic framework. In this paper, by using an advection equation model, eight numerical experiments whose integration times are 30 h are performed in order to analyze the interaction of dual vortices and the vortex self-organization in a coexisting system of deterministic and stochastic components. The stochastic components are introduced into the model by the way that the Iwayama scheme is used to produce the randomly distributed small-scale vortices which are then added into the initial field. The different intensity of the small-scale vortices is described by parameter K being 0.0, 0.4, 0.6, 0.8, and 1.0, respectively. When there is no small-scale vortex （K=0.0）, two initially separated meso-beta vortices rotate counterclockwise mutually, and their quasi-final flow pattern is still two separated vortices; after initially incorporating small-scale vortices （K=0.8, 1.0）, the two separated meso-beta vortices of initially same intensity gradually evolve into a major and a secondary vortex in time integration. The major vortex pulls the secondary one, which gradually evolves into the spiral band of the major vortex. The quasi-final flow pattern is a self-organized vortex with typhoon-like circulation, and the relative vorticity at its center increases with increasing in K value, suggesting that small-scale vortices feed the self-organized vortex with vorticity. This may be a possible mechanism responsible for changes in the strength of the self-organized vortex. Results also show that the quasi-final pattern not only relates with the initial intensity of the small-scale vortices, but also with their initial distribution. In addition, three experiments are also performed in the case of various boundary conditions. Firstly, the periodic condition is used on the E-W boundary, but the fixed condition on the S-N boundary; secondly, the fixed condition is set on all the boundaries; and thirdly, the periodic conditio     

随机分布的小尺度涡对涡旋自组织影响的研究

以往双涡相互作用的动力学一般都在决定性的框架内研究。文中用一个平流方程模式,实施积分时间为30 h的8组试验,分析决定性和随机性共存系统中双涡相互作用和涡旋自组织的问题。随机性通过以下方式引入模式:先用Iwayama方案生成随机分布的小尺度涡,再将这些小尺度涡加入初始场。试验中,初始随机分布小尺度涡的强度参数K分别取0.0、0.4、0.6、0.8和1.0。结果表明,没有小尺度涡的条件下(K=0.0),初始分离的两个β中尺度涡逆时针互旋,其准终态流型是两个分离的涡;引进小尺度涡后,K取0.8、1.0时,初始分离强度相同的两个β中尺度涡,逐渐形成主次之分。主涡将次涡拉伸成为螺旋带,其准终态流型是一个自组织起来的类似于台风环流的涡旋。准终态涡中心的相对涡度值随K值的加大而加大。结果还表明,准终态流型不仅与初始小尺度涡的强度参数有关,而且与初始小尺度涡的分布有关。此外,在相同初始场的情况下,还实施了3类不同边畀条件的试验:第1类,在东西边界取周期条件,在南北边界取固定条件;第2类,在所有边界均取固定条件;第3类,在所有边界均取周期条件。这3类试验的准终态流型相同,都显示出一个类似于台风涡旋的环流。根据这些结果可以初步认为,涡旋自组织的研究从决定性动力学向随机动力学的过渡是值得探索的。     

地形对涡旋自组织影响的初步研究

用一个带有地形项的f平面准地转正压涡度方程，实施5组积分时间长度为72h的试验，研究了中尺度地形对涡旋自组织的影响。结果指出：无地形时，准终态涡是一个带有螺旋带的类似台风的涡旋；有地形时，准终态涡是一个无螺旋带但有两个低涡量区的准圆形涡旋。有无地形两个准终态涡中心的位置可以相距100km以上。     

小尺度系统对涡旋自组织的影响

在涡旋自组织动力学的框架内,利用．厂平面准地转正压模式讨论小尺度涡旋系统对两个中β尺度涡旋的自组织过程的影响。4组数值试验表明：小尺度涡旋的存在,可能会改变双涡相互作用的终态,使原本不合并的两个涡旋组织起来;双涡相互作用的终态对小尺度涡旋的初始位置敏感;存在“Z”型敏感区域,当小尺度涡旋出现在这一区域时,就有可能改变双涡相互作用的终态;小尺度涡旋对双涡相互作用产生影响需具备4个条件,即初始位于敏感区内,有足够的强度,距离适当且生存时间足够长。     

Typhoon Vortex Self-Organization in a Baroclinic Environment

Self-organization of typhoon vortex in a baroclinic environment is studied based on eight numerical experiments with the fifth-generation Pennsylvania State University/National Center for Atmospheric Research （PSU/NCAR） Mesoscale Model （MM5）. The results show that, when there are only two 400-km-away mesoscale axisymmetric vortices with a radius of 500 km in the initial field, the two vortices move away from each other during co-rotating till the distance between them greater than a critical distance named co-rotating critical distance. Then, they stop co-rotating. The situation is changed when a small vortex with a radius of 80 kin is introduced in between the two vortices in the initial field, with the two initially separated vortices approaching each other during their co-rotation, and finally self-organizing into a typhoon-like vortex consisting of an inner core and spiral bands. This result supports both Zhou Xiuji＇s view in 1994 and the studies in the barotropic framework concerning the interactions between the same and different scales of vortices. Six other experiments are carried out to study the effects of the initial vortex parameters, including the initial position of the small-scale vortex, the distance and intensity of the initially axisymmetric binary mesoscale vortices. It is found that the distance between the initial axisymmetrie mesoscale vortices is the most important parameter that influences the self-organizing process of the final typhoon-like vortex. This conclusion is similar to that obtained from barotropical model experiments.     

A numerical study of multiple vortex self-organization as forced by mesoscale topography

Summary There exists a common observational phenomenon over the offshore areas of the northwest Pacific, that is, when several mesoscale vortices evolve suddenly into a larger scale typhoon-like vortex within one day, often with serious consequences. In this paper a series of numerical experiments has been designed and performed to emulate this evolution. The model is based on the Charney-Hasegawa-Mima equation, where there are around 40 initial meso-β vortices with parabolic profiles whose central positions, dimensions and intensities are all set stochastically. The self-organization process of these stochastically-distributed multiple meso-β vortices can be divided into two phases. During the first phase, a larger scale vortex similar to a typhoon-like vortex forms near the computational center through the gradual stretching and merging of adjacent meso-β vortices while there are more than 10 isolated vortices surrounding this typhoon-vortex. During the second phase, the isolated vortices are stretched and drawn into the typhoon-vortex circulation and become its spiral arms which are gradually incorporated into the inner area of the typhoon. This is then repeated as new isolated vortices are stretched and become new spiral arms until all the isolated vortices are drawn into the typhoon-vortex. The center of the self-organized typhoon-vortex rotates counterclockwise around the computational center when no topography is involved and is thus a transient vortex. When topography is present the vortex remain in the NE quadrant of the model domain, locked by the topography, and this quasi-steady vortex is thus capable of causing local disasters. Correspondence: Chongjian Liu, Chinese Academy of Meteorological Sciences (CAMS), State Key Labaratory of Severe Weather, 46 Zhongguancum South Avenue, 100081 Beijing, P.R. China     

Study on the Interaction of Non-axisymmetric Binary Vortices

In the context of advection dynamics,19 experiments(Exps.)are performed using a quasi-geostrophic barotropic vorticity equation model to explore the condition for the mergence of binary vortices and the self-organization of the larger scale vortex.Results show that the initial distance between the centers of binary vortices and the non-axisymmetric distributions of their initial vorticity are two factors affecting the mergence of binary vortices.There is a critical distance for the mergence of initial symmetric binary vortices, however,the mergence of initial non-axisymmetric binary vortices is also affected by the asymmetric structure of initial vortices.The self-organization processes in 19 experiments can be classified into two types:one is the merging of identical,axisymmetric binary vortices in which the interaction of the two vortices undergoes slowly change,rapid change,and the formation,stretching,and development of the filaments of vorticity, and the two vortices merge into a symmetric vortex,with its vorticity piled up in the inner region coming from the two initial vortices,and the vorticity of the spiral band in the outer region from the stretching of the filaments of the two initial vortices.And the other type is the merging of the two non-axisymmetric initial vortices of an elliptic vortex and an eccentric vortex in which the elliptic vortex,on the one hand, mutually rotates,and on the other hand moves towards the center of the computational domain,at the same time expands its vorticity area,and at last forms the inner core of resultant state vortex;and the eccentric vortex mutually rotates,meanwhile continuously stretches,and finally forms the spiral band of resultant state vortex.The interaction process is characteristic of the vorticity piled up in the inner core region of resultant state vortex originating from the elliptic vortex and the vorticity in spiral band mainly from the successive stretch and rupture of the eccentric vortex.     

守恒系统中台风强度变化及其可能因子的数值研究

用一个高分辨率的 f平面正压涡度方程模式 ,实施了时间积分为 36h的 2 1组试验 ,研究相邻中尺度涡旋与台风涡旋的相互作用。结果指出 :这种相互作用能否导致台风加强 ,取决于两类因子 :一是台风涡旋最大风速的取值以及圆形基流切变的强弱 ;二是切变基流中的中尺度涡旋的自身条件 ,包括中尺度涡旋的分布、尺度、强度和结构。台风强度与初始中尺度涡旋的尺度、强度之间存在着非线性的联系     

非轴对称双涡相互作用的研究

在平流动力学的框架内,用准地转正压涡度方程模式实施了19组试验,研究双涡合并的条件及较大尺度涡旋自组织的问题。结果指出:(1)存在着两个影响双涡合并的因素,即初始双涡中心之间的距离和初始涡旋的非轴对称分布。初始两个对称涡旋合并具有明显的临界距离效应,但初始两个非轴对称涡旋能否合并还受到初始涡旋的非对称结构的复杂影响。(2)存在着两类不同的较大尺度涡旋的自组织过程,形成较大尺度涡旋。第一类,初始两个涡旋相同,均呈轴对称分布。双涡作用经历了缓变、快变,以及涡量羽翼的生成、拉伸和发展的过程,合并后呈对称性流型;终态涡内区涡量的堆积来源于两个初始涡,终态涡外区的螺旋带来源于两个初始涡外缘线涡量羽翼的拉伸。第二类,初始两个涡旋不同,一个为椭圆型,一个为偏心型,均呈非轴对称分布。双涡作用中,椭圆涡一边互旋,一边向计算区域中心靠近,同时涡量范围加大,形成了终态涡的内核区;偏心涡一边互旋,一边被不断拉伸,形成了终态涡的螺旋带区;表现出终态涡内区的涡量堆集来源于椭圆涡,终态涡外区螺旋带主要来源于偏心涡的反复拉伸及断裂的特性。     

旋转大气中地形对涡旋自组织影响的初步研究

用一个带有地形项的β平面准地转正压涡度方程,进行2组积分时间长度为48h的试验,分析旋转大气中地形对多涡自组织的影响。地球旋转作用的引入主要会引起以下的差别：无旋转大气中,多涡自组织的特征是准终态涡将初始多涡全部吸收或全部组织起来;旋转大气中,多涡自组织的特征是准终态涡将初始多涡部分吸收或部分组织起来,差别较明显。中尺度地形对准终态涡位置的影响不同。无旋转大气中,中尺度地形对准终态涡位置的影响较小,有无地形的两个准终态涡中心之间的距离约100km;旋转大气中,中尺度地形对准终态涡位置的影响较大,有无地形的两个准终态涡中心之间的距离约200km,两者相差一倍左右。     

不同初始涡廓线对涡旋自组织影响的初步研究

用一个带有地形项的准地转正压模式,研究了不同初始涡廓线对涡旋自组织的作用。结果表明：初始涡廓线的不同,不仅可以影响到自组织的过程,而且可以影响到自组织起来的准终态涡的性质。     

随机分布的小尺度涡旋场对台风路径影响的研究

文中用正压原始方程模式和理想初始场研究了随机分布的小尺度涡度场对台风路径的作用.在模式初始场上,有一个理想的副热带高压脊、一个台风和一个随机生成的小尺度涡度场.设计实施两组试验,记为试验A和试验B,积分时间为56 h.每个试验的初始场上各有100个随机分布的小尺度涡.除了小尺度涡的空间位置不同以外,两组试验其余的试验条件全部相同.模式积分的结果指出:小尺度涡不同的空间分布可以引起台风外围水平风速的差异,进而改变台风环境引导流的强度.在24、36和48小时,试验A沿东西方向环境引导流分别为7.8、8.2和8.7 m/s,24-48小时平均值为8.2 m/s,沿南北方向环境引导流分别为0.9、1.8和2.5 m/s,24-48小时平均值为2.1 m/s;试验B沿东西方向分别为8.3、9.5和9.7 m/s,24-48小时平均值为9.5 m/s,沿南北方向分别为2.3、2.3和5.9 m/s,24-48小时平均值为3.4 m/s.环境引导气流强度的小同导致未来台风中心位置的不同.两组不同的初始随机涡度场可以引起48 h以后台风中心相距约120 km.副热带高压与台风相互作用的动力学表明:当初始台风位于副热带高压脊与赤道之间时,局域的绝对涡度梯度与台风传播的关系足南若干个不规则的散布点表征的.引进随机涡度场以后,副热带高压脊、台风和小尺度涡旋三者的共同作用使得绝对涡度梯度与台风传播之间的关系复杂化,除了会出现不规则散布点的特征外,还可显示出两者之间的高相关特征.     

A study of the effect of topography on the merging of vortices

Eight sets of numerical experiments are performed in 48 hours of integtation by using a barotropic primitive equation model with a topographic term so as to investigate the effect of topography on the merging of vortices. It is pointed out that the introduction of topography may change the track of vortices,and it causes the low vortices and vorticity lumps to be detained on the southeast side of the topography,thus creating a favorable condition for the merging of the low vortex and vorticity lumps. It is also shown that the effect of topography may cause double mergers of vortices in a horizontally shearing basic flow,and it can strengthen the low vortex remarkably.     

东移低涡动力学的初步研究

用一个正压原始方程模式实施了六组试验，研究了东移低涡的动力学。结果表明：无论是切变基流与低涡的相互作用，还是涡块与低涡的相互作用，都可引起低涡强度在短暂时段内增强，但整个积分时段内低涡强度的演变仍呈下降趋势。切变基流、低涡和多个涡块的相互作用，可以改变下降的趋势。正相对涡度切变基流中低涡和涡块的合并，是东移低涡强度得以维持和发展的一个直接的原因。     

涡群中双涡相互作用的研究

在涡旋自组织动力学的框架内，数值研究了涡群中双涡相互作用的问题，对比了弱环境流与涡群环境流两类条件下双涡作用的异同。指出：弱环境流条件下双涡合并的过程，在涡群环境条件下不再存在；同时，涡群环境流的引进可使涡强度显著增强。     

高原低涡与西南涡结伴而行的不同活动形式个例的环境场和位涡分析

本文利用NCEP/NCAR-FNL再分析资料、历史天气图、青藏高原低涡切变线年鉴,通过分析1998~2015年持续高原涡影响西南涡结伴而行（简称两涡伴行）过程的活动形式,并对不同活动形式的个例进行了环境场与位涡分析,得出了不同活动形式两涡伴行的环境场特征,揭示了冷空气活动、200 hPa急流对不同活动形式的两涡伴行的影响原因。结果表明:（1）两涡伴行有三种活动形式,它们是高原涡诱发西南涡、高原涡与西南涡耦合以及同一天气系统下两涡,其中以高原涡诱发西南涡的活动形式占多数。（2）两涡伴行的500 hPa环境场主要是40°N以北东亚环流经向度不强,纬向气流主导,受500 hPa低槽、冷空气活动的影响;200 hPa环境场主要与200 hPa急流的强度、距急流核距离、在急流两侧的位置密切相关;不同活动形式的西南涡上空200 hPa、500 hPa环境场特征是有差别的。（3）受500 hPa低槽、冷空气影响的两涡伴行中的西南涡的生成是通过500 hPa高位涡空气伸入西南涡上空,造成西南涡上空斜压不稳定所至;在西南涡上空500 hPa斜压不稳定增强且具有较强的斜压不稳定时西南涡加强;200 hPa西南风急流影响高原涡诱发或耦合、加强西南涡是分别在高空高位涡下传影响到高原涡与西南涡上空、西南涡的情况下实现的,同一天气系统下,高空高位涡下传只影响高原涡,而未影响西南涡。     

A review of ground-based,mobile, W-band Doppler-radar observations of tornadoes and dust devils

A ground-based, mobile, W-band Doppler-radar has been used in the U.S. during the last decade to obtain high-spatial resolution maps of the radar reflectivity and wind fields in tornadoes and dust devils. This radar is one of the best tools available for studying the substructure of intense, small-scale vortices in the boundary layer. The most significant findings to date are summarized.In one case, it was found that just prior to tornadogenesis in a supercell, a 100–200 m scale cyclonic vortex formed at the leading edge of a bulge in the rear–flank gust front. This vortex appeared to interact with a larger-scale (500 m to 1 km wide) cyclonic vortex, just as the tornado formed. Other small-scale cyclonic vortices were present along the rear–flank gust, but they did not develop into tornadoes. The mature tornado-vortex was dominated by quasi-stationary wavenumber-two disturbances, while the mean vortex resembled a two-celled, Rankine combined vortex. The diameter of the mean vortex narrowed as it intensified and widened as it weakened, even though the tornado condensation funnel narrowed as the tornado was dissipating. Evidence was also found of short-term, inertial-like oscillations in vortex diameter and intensity. Spiral bands and eyes were ubiquitous. The eye in one well-documented case was broader in the lowest few hundred meters than it was aloft. Multiple vortices and “umbilical” cords of very narrow bands of reflectivity have also been found.Both cyclonic and anticyclonic dust devils have been documented. Some dust devils resemble a relatively narrow, Rankine combined vortex, while others are wider and have a broad, calm eye and a narrow annulus of intense vorticity just within the radius of maximum wind (RMW), and rising motion just inside the RMW and sinking motion well inside the RMW. Multiple-vortex structure, Rossby-like wave motion, and the Fujiwhara effect have also been documented.     

偶极子移动的三种类型

用β平面准地转正压模式,实施了１８组积分时间为４至６个模式日的试验。从偏离偶极子解析解的流型启动,得到了偶极子移动的３种类型,即东进型、西进型和经向型。在一定的参数集合,在涡旋对总体上向外频散能量的同时,偶极子气旋涡旋的强度不但不随时间衰减,而且可以增强。     

台风环流区域内中尺度涡量传播特征的研究

用一个高分辨率f平面直角坐标系的正压准地转模式,实施了10组积分时间为36 h的试验,研究了初始位于台风外区的一个中尺度涡旋与台风涡旋的相互作用。结果表明:这种相互作用可以激发一个从外区伸展到内区的较小尺度的涡旋对,以此方式将涡量内传至台风中心附近。同时,中尺度涡旋呈现涡量集中化的特征。涡量内传与涡量集中化共存,使内区涡量增多,导致台风增强。此外,在一定条件下,这种相互作用还可以使涡量带破碎和断裂,形成一系列空间尺度更小的涡块。     

斜压大气中双涡自组织与台风形成的初步研究

从数值研究和个例分析两个方面讨论了斜压大气中双涡自组织与台风形成的关系.首先,利用PSU/NCAR 第五代数值天气预报模式(MM5),设计了6个弱环境流场下的理想试验,研究斜压大气中双涡自组织对台风形成的影响,结果表明:斜压大气中双涡自组织存在一个临界距离dc,其值在380 km左右.当双涡间距d≤dc时,双涡可以自组织形成台风环流,当d>dc时,自组织现象不能发生.其次,选取一个对我国有重要影响典型台风个例,分析双涡自组织对其形成的影响,结果表明双涡自组织过程是对我国有重要影响台风形成的典型方式之一.