The role of diabatic heating, torques and stabilities in forcing the radial-vertical circulation within cyclones part ii: case study of extratropical and tropical cyclones

Utilizing Eliassen’s concepts, the forcing of the isentropic azimuthally-averaged mass-weighted radial-vertical circulation by diabatic heating and torques within an extratropical cyclone and a typhoon was studied through nu-merical simulations based on the linear diagnostic equation derived previously. The structure of the forcing associated with diabatic heating and torques was determined from quasi-Lagrangian diagnostic analyses of actual case studies. The two cyclones studied were the Ohio extratropical cyclone of 25-27 January 1978 and typhoon Nancy of 18-23 September 1979. The Ohio cyclone, which formed over the Gulf Coast and moved through Ohio and eastern Michigan, was one of the most intense storms with blizzard conditions to ever occur in this region. Typhoon Nancy which occurred over the South China Sea during the FGGE year was selected since relatively high quality assimilated data were available. Within the Ohio cyclone, the dominant internal processes forcing the mean circulation with em-bedded relatively strong hydrodynamic stability were the pressure torque associated with baroclinic (asymmetric) structure and the horizontal eddy angular momentum transport associated with the typical S-shaped thermal and wind structures of self-development. Within typhoon Nancy, the dominant internal process forcing the mean circula-tion with embedded weak hydrodynamic stability was the latent heat release. This analysis shows that the simulated azimuthally-averaged mass-weighted radial motions within these two cy?clones agree quite well with the “observed” azimuthally-averaged mass-weighted radial motions. This isentropic nu?merical study also provides insight into the relatively important internal forcing processes and the trade off between forcing and stability within both extratropical and tropical cyclones.     

On the Forced Tangentially-Averaged Radial- Vertical Circulation within Vortices Part Ⅰ: Concepts and Equations

将Eliassen建立在平面等压柱坐标系中的径向环流强迫理论（用于研究在摩擦力和非绝热加热过程影响下的静止对称涡旋），推广应用到研究移动非对称气旋或反气旋的径向环流，导出了考虑地球曲面影响的准拉格朗日等压柱坐标系的切向平均径向环流诊断方程，并根据Eliassen的解析解所揭示的涡旋径向环流在涡旋演变中的作用，定 性地讨论了各种热力和动力的作用，这些热力和动力因子除了磨擦力和非绝热加热外，还有平均和涡动形式的惯性力，角动量平流（相当涡度平流），角动量的垂直对流，温度平流，温度的垂直对流（相当绝热加热）等。     

The Role of diabatic heating, torques and stabilities in forcing the radial- vertical circulation within cyclones part iii: case study of lee-side cyclones

１．ＩｎｔｒｏｄｕｃｔｉｏｎＡｎａｇｒｅｅｍｅｎｔｂｅｔｗｅｅｎｔｈｅｓｉｍｕｌａｔｅｄａｎｄ“ｏｂｓｅｒｖｅｄ”ａｚｉｍｕｔｈａｌｙ－ａｖｅｒａｇｅｄｍａｓ－ｗｅｉｇｈｔｅｄｒａｄｉａｌｍｏｔｉｏｎｓｈａｓｂｅｎｅｓｔａｂｌｉｓｈｅｄｆｏｒｔｈｅＯ...     

等熵面和湿等熵面倾斜发展的诊断分析

利用等压坐标系中的热力学方程和水汽方程推导出可以诊断分析等熵面（等位温面）和湿等熵面（等相当位温面） 倾斜变化的倾角方程。等熵面倾角的局地变化由倾角平流输送项、风速切变项和非绝热加热项共同决定,而影响湿等熵面倾角局地变化的强迫项除倾角平流输送项、风速切变项和非绝热加热项之外,还包括垂直热量通量切变项。NCEP/NCAR实时分析资料的分析结果表明,大气斜压性、相对垂直涡度与等熵面和湿等熵面的倾角密切相关,它们的正高值区互相重叠;垂直风速切变项,特别是垂直速度的经向切变项是影响等熵面倾斜发展的主要强迫项,而纬向和经向风速的垂直切变项对湿等熵面倾角演变的贡献最大。     

On the Forced Tangentially-Averaged Radial-Vertical Circulation within Vortices. Part II: The Transformation of Tropical Storm Haima (2004)

A real case study for the transformation of Tropical Storm (TS) Haima (2004) into an extratropical cyclone (EC) is carried out numerically since,after landfall,Haima (2004) (as an EC) brought severe weather to a large area (from the south to the north) in China during 13-16 September 2004.With the linear diagnostic model (derived in a previous study) for the tangentially-averaged radial-vertical circulation within vortices moving on the spherical Earth,Haima’s (2004) life cycle is reconstructed noticeably well.Therefore,the major contributor could be identified confidently for Haima’s (2004) extratropical transition based on the diagnostic model outputs.The quantitative comparison shows that up to a 90% contribution to the innerregion updraft and a 55% contribution to the upper-layer outflow come from latent heating during Haima’s (2004) TS stage.Up to a 90% contribution to the inner-region updraft and nearly a 100% contribution to the upper-layer outflow come from the upper-layer eddy angular momentum advection (EAMA) during Haima’s (2004) EC stage.Representing the asymmetric structure of the storm,the predominantly positive contribution of the upper-layer EAMA to Haima’s (2004) transformation is closely associated with the Sshaped westerlies in the upper layer with two jets.One jet in the cyclonic-curvature area carries cyclonic angular momentum into the storm,and the other jet in the anticyclonic-curvature area carries anticyclonic angular momentum out of the storm.Consequently,the newly-increased cyclonic tangential wind is deflected by the Coriolis force to the right to form the upper-layer outflow accompanied by the central-area rising motion,leading to Haima’s (2004) extratropical transition after its landfall.     

On the conversion between mean and eddy components of potential and kinetic energy in isentropic and isopycnic coordinates

Equations for the mean and eddy kinetic energy and for the mean and eddy potential energy in isopycnic and isentropic coordinates are derived, and conversion terms between the four energy forms are identified. Contrary to Lorenz' isobaric formulae, a conversion term between mean kinetic and eddy potential energy is found in the isopycnic/isentropic framework; furthermore, no term governing direct conversion between eddy and mean potential energy exists in isopycnic coordinates. The option of “re-routing” some energy conversion processes to eliminate the formal difference between the isopycnic/isentropic and the isobaric viewpoint is discussed. A numerical simulation of baroclinic instability in an isentropic coordinate model is used to illustrate the energy conversion processes.     

Characteristics of the Outer Rainband Stratiform Sector in Numerically Simulated Tropical Cyclones: Lower-Layer Shear versus Upper-Layer Shear

Idealized numerical simulations are conducted in this study to comparatively investigate the characteristics of the stratiform sector in the outer rainbands of tropical cyclones(TCs)in lower-and upper-layer vertical wind shear(VWS)with moderate magnitude.Consistent with the results in previous studies,the outer rainband stratiform sector of the TCs simulated in both experiments is generally located downshear left.Upper-layer VWS tends to produce stronger asymmetric outflow at upper levels in the downshear-left quadrant than lower-layer shear.This stronger asymmetric outflow transports more water vapor radially outward from the inner core to the outer core at upper levels in the downshear-left quadrant in the upper-layer shear experiment.More depositional growth of both graupel and cloud ice thus occurs downshear left in upper layers in the outer core,yielding more diabatic heating and stronger upward motions,particularly in the stratiformdominated part of the stratiform sector in the upper-layer shear experiment.Resultingly,a better-organized stratiform sector in the outer rainbands is found in the upper-layer VWS experiment than in the lower-layer VWS experiment.The diabatic heating associated with the stratiform sector produces strong midlevel outflow on the radially inward side of,and weak midlevel inflow on the radially outward side of,the heating core,with lower-level inflow beneath the midlevel outflow and upper-level inflow above.The upper-layer VWS tends to produce a deeper asymmetric inflow layer in the outer rainband stratiform sector,with more significant lower-level inflow and tangential jets in the upper-layer VWS experiment.     

Buoyancy in tropical cyclones and other rapidly rotating atmospheric vortices

Motivated primarily by its application to understanding tropical-cyclone intensification and maintenance, we re-examine the concept of buoyancy in rapidly rotating vortices, distinguishing between the buoyancy of the symmetric balanced vortex or system buoyancy, and the local buoyancy associated with cloud dynamics. The conventional definition of buoyancy is contrasted with a generalized form applicable to a vortex, which has a radial as well as a vertical component. If, for the special case of axisymmetric motions, the balanced density and pressure distribution of a rapidly rotating vortex are used as the reference state, the buoyancy field then characterizes the unbalanced density perturbations, i.e. the local buoyancy. We show how to determine such a reference state without approximation.The generation of the toroidal circulation of a vortex, which is necessary for vortex amplification, is characterized in the vorticity equation by the baroclinicity vector. This vector depends, inter-alia, on the horizontal (or radial) gradient of buoyancy evaluated along isobaric surfaces. We show that for a tropical-cyclone-scale vortex, the buoyancy so calculated is significantly different from that calculated at constant height or on surfaces of constant σ (σ = (p − p^*)/(p_s − p^*), where p is the actual pressure, p^* some reference pressure and p_s is the surface pressure). Since many tropical-cyclone models are formulated using σ-coordinates, we examine the calculation of buoyancy on σ-surfaces and derive an expression for the baroclinicity vector in σ-coordinates. The baroclinic forcing term in the azimuthal vorticity equation for an axisymmetric vortex is shown to be approximately equal to the azimuthal component of the curl of the generalized buoyancy. A scale analysis indicates that the vertical gradient of the radial component of generalized buoyancy makes a comparatively small contribution to the generation of toroidal vorticity in a tropical cyclone, but may be important in tornadoes and possibly also in dust devils.We derive also a form of the Sawyer–Eliassen equation from which the toroidal (or secondary) circulation of a balanced vortex may be determined. The equation is shown to be the time derivative of the toroidal vorticity equation in which the time rate-of-change of the material derivative of potential toroidal vorticity is set to zero. In analogy with the general case, the diabatic forcing term in the Sawyer–Eliassen equation is shown to be approximately equal to the time rate-of-change of the azimuthal component of the curl of generalized buoyancy.Finally, we discuss the generation of buoyancy in tropical cyclones and contrast the definitions of buoyancy that have been used in recent studies of tropical cyclones. We emphasize the non-uniqueness of the buoyancy force, which depends on the choice of a reference density and pressure, and note that different, but equivalent interpretations of the flow dynamics may be expected to arise if different reference quantities are chosen.     

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。     

NUMERICAL SIMULATION OF FRONTOGENESIS FORCED BY DUST RADIATIVE HEATING

In this paper,the frontogenesis forced by dust radiative heating and the radiative effects of an isolated duststorrn ona frontal circulation system are examined by means of two-and three-dimensional numerical models.Results indicatethat as a duststorm breaks out, frontogenesis is caused in by dust radiative heating in the lower atmosphere.A markedisentropic potential temperature layer is formed in the middle troposphere.The low-level convergence occurs along thedirection of the front movement.Atnight,dust radiative cooling results in frontolysis in the lower atmosphere.An obvious vertical circulation is forced by radiative heating of an isolated duststorm along the direction of the pre-vailing wind.It is stronger at day,weaker and reverse at night.The response of the horizontal wind field to dust radiativeforcing is different at different levels.     

NUMERICAL SIMULATION OF FRONTOGENESIS FORCED BY DUST RADIATIVE HEATING*

In this paper,the frontogenesis forced by dust radiative heating and the radiative effects of an isolated duststorrn on a frontal circulation system are examined by means of two-and three-dimensional numerical models.Results indicate that as a duststorm breaks out,frontogenesis is caused in by dust radiative heating in the lower atmosphere.A marked isentropic potential temperature layer is formed in the middle troposphere.The low-level convergence occurs along the direction of the front movement.Atnight,dust radiative cooling results in frontolysis in the lower atmosphere.An obvious vertical circulation is forced by radiative heating of an isolated duststorm along the direction of the prevailing wind.It is stronger at day,weaker and reverse at night.The response of the horizontal wind field to dust radiative forcing is different at different levels.     

地面感热对青藏高原低涡流场结构及发展的作用

考虑热带气旋类青藏高原低涡为受加热和摩擦强迫并满足热成风平衡的轴对称涡旋系统,通过求解线性化的柱坐标系中涡旋模式的初值问题,分析了地面感热对高原低涡流场结构及发展的影响,给出了高原低涡眼壁内、外侧水平流场和垂直流场的结构特征,讨论了低涡发展与其水平尺度、垂直厚度、所处纬度以及热量总体输送系数和加热强度的关系.结果表明:地面感热对低涡的生成及发展具有重要作用,但这种作用是否有利于低涡的发展与低涡中心和感热加热中心的配置有关.     

Scale interaction in the Western Pacific Monsoon

Summary The lower-tropospheric scale interactions occurring in the summer monsoon of the western North Pacific are reviewed and summarised in a conceptual model. Diabatic heating produces a circulation with similar characteristics to those that are observed. In the lower troposphere the advection of vorticity by the divergent wind produces a compact, and more intense response than in the upper levels. Subsequent phase dispersion westward, and group propagation eastwards, lead to a monsoon depression in convectively suppressed conditions, a westerly jet with cross-equatorial flow, and a strong confluence region to the east of the monsoon depression.I suggest that this confluence zone traps tropical waves in the mid-lower troposphere in a similar manner to the accumulation and emanation mechanisms described by Chang and Webster. The details of the convection in the confluence zone are of little direct consequence to the monsoon circulation, which is similar in scale to the deformation radius for the undisturbed tropics. However, mesoscale convective systems can both self organise into larger coherent structures and produce vortices of horizontal scale 100–200 km, which are long-lived and potentially have considerable indirect influence on both the monsoon and embedded systems, such as tropical cyclones. The confluence zone provides an excellent environment for tropical cyclone formation, which is enhanced by the presence of a previously developed tropical cyclone. Scale-interaction arising from the merger of developing vortices and the large monsoon depression can lead to development of a very large typhoon and rapid breakdown of the total monsoon circulation. The interaction of tropical cyclones with the mid-latitude systems is complex and not well understood, but recurving tropical cyclones may provide a major component of the emanation of energy to higher latitudes.With 16 Figures     

POTENTIAL VORTICITY STRUCTURE OF SUMMER CYCLONES OVER THE CHANGJIANG-HUAIHE VALLEY*

Based on the theory of Ertel potential vorticity,the isentropic potential vorticity maps and vertical profiles of potential vorticity for two summer cyclones over the Changjiang-Huaihe Valley are analysed.After discussing a possible mechanism for the genesis and development of such systems and their differences from typical extratropical cyclones,a conceptual model for their activities is proposed:A weak disturbance in the midlevel of troposphere originated from around the Qinghai-Xizang Plateau may cause heavy precipitation under favourable conditions and latent heat release in the mid-troposphere leads to downward extension of cyclonic circulation and a wave on the quasi-stationary front.This weak cyclone can develop substantially and become a typical extratropical cyclone only when air from the lower stratosphere flows downslope along isentropic surfaces into the region of interest.     

包含超梯度力作用的台风次级环流诊断方程

次级环流在台风的发展和维持中起着重要作用,基于梯度风平衡的Sawyer Eliassen（SE）方程常用于台风次级环流的诊断。然而梯度风平衡关系在台风边界层及边界附近有较大误差,这导致SE方程求解出的次级环流在边界层也会有较大误差。本文在梯度风平衡方程中保留包含径向摩擦力项在内的超梯度力项,得到包含超梯度力作用的SE方程,从方程形式上看超梯度力主要是通过调节与斜压性相关的系数来影响次级环流的。对“森拉克”（2008）台风次级环流的诊断结果显示,在不人为改变边界层流场结构的情况下,新的SE方程能显著改善次级环流的求解效果,避免眼墙外侧边界层附近的虚假对流并且减小虚假入流。     

Progress in Research of Stratosphere-Troposphere Interactions： Application of Isentropic Potential Vorticity Dynamics and the Effects of the Tibetan Plateau

This paper reviews recent progress in understanding isentropic potential vorticity （PV） dynamics during interactions between the stratosphere and troposphere, including the spatial and temporal propagation of circulation anomalies associated with the winter polar vortex oscillation and the mechanisms of stratosphere- troposphere coupling in the global mass circulation framework. The origins and mechanisms of interannual variability in the stratospheric circulation are also reviewed. Particular attention is paid to the role of the Tibetan Plateau as a PV source （via its thermal forcing） in the global and East Asian atmospheric circulation. Diagnosis of meridional isentropic PV advection over tile Tibetan Plateau and East Asia indicates that the distributions of potential temperature and PV over the east flank of the Tibetan Plateau and East Asia favor a downward and southward isentropic transport of high PV from the stratosphere to the troposphere. This transport manifests the possible influence of the Tibetan Plateau on the dynamic coupling between the stratosphere and troposphere during summer, and may provide a new framework for understanding the climatic effects of the Tibetan Plateau.     

平流层-对流层相互作用研究进展：等熵位涡理论的应用及青藏高原影响

系统介绍了近年来应用等熵位涡理论研究平流层-对流层动力相互作用所发现的一些新的事实和机理,包括平流层冬季极涡振荡过程中平流层、对流层环流异常的时空传播特征,以及等熵质量理论框架下的平流层-对流层动力耦合机理,还介绍了影响平流层环流年际尺度异常的因子及影响过程。回顾了夏季青藏高原的热力作用所激发的负位涡强迫源对东亚及全球大气环流的影响。并基于对夏季高原周边等熵位涡经向输送垂直分布的诊断进一步说明,夏季青藏高原的存在使高原东缘及东亚地区成为平流层和对流层物质交换的独特区域,探讨了夏季青藏高原影响平流层-对流层动力耦合的一种重要途径及其影响全球气候的重要意义。     

POTENTIAL VORTICITY STRUCTURE OF SUMMER CYCLONES OVER THE CHANGJIANG-HUAIHE VALLEY

Based on the theory of Ertel potential vorticity,the isentropic potential vorticity maps and vertical pro-files of potential vorticity for two summer cyclones over the Changjiang-Huaihe Valley are analysed.Afterdiscussing a possible mechanism for the genesis and development of such systems and their differences fromtypical extratropical cyclones,a conceptual model for their activities is proposed:A weak disturbance in the mid-level of troposphere originated from around the Qinghai-Xizang Plateau may cause heavy precipitation underfavourable conditions and latent heat release in the mid-troposphere leads to downward extension of cycloniccirculation and a wave on the quasi-stationary front.This weak cyclone can develop substantially and becomea typical extratropical cyclone only when air from the lower stratosphere flows downslope along isentropic sur-faces into the region of interest.     

An Atmospheric Dry Intrusion Parameter and Its Application

Dry intrusion plays an important role in the explosive development of cyclones and the evolution of cold fronts. Characteristics of dry intrusion during a rainfall event that occurred in northern China are analyzed in detail in this paper. The IM (ingredients-based methodology) developed by Doswell et al. in 1996 and Wetzel and Martin in 2001 is utilized. All the physical representations of dry intrusion defined in the past studies, such as low relative humidity, cold advection, and high potential vorticity (on either isobaric or isentropic surfaces), are combined into a simple and convenient physical parameter to characterize dry intrusion. This is a new attempt to extend the IM that was primarily applied to research on heavy rainfall to the study of dry intrusion. The new dry intrusion parameter is used to analyze the isentropic evolution of dry intrusion during the rainfall event. The results show that this parameter can better quantify the intensity of dry intrusion and diagnose its evolution shown in satellite infrared and water vapor imageries.It is found that dry intrusion maintains during the rainfall period. The intensity of precipitation increases with the increasing dry intrusion, which has pushed the rainy region southeastward. From the results on the isentropic surface and the corresponding isobaric surface,it is inferred that the analyses of dry intrusion on both surfaces are consistent with each other. The isentropic analysis of dry intrusion reveals that cold and dry air at the upper level overruns that in the lower troposphere where moist and warm air is located.Thus, potential instability is built up in the vertical direction, which favors the occurrence of precipitation.In practice,we may identify dry intrusion regions by tracking strong signals of the dry intrusion parameter,and further identify the instability near the dry intrusion regions.This will aid in improving the accuracy of precipitation forecast.