Rossby参数β在涡旋Rossby波中的作用
THE EFFECT OF ROSSBY PARAMETER IN VORTEX ROSSBY WAVES
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摘要: 利用尺度分析方法得到Rossby参数β在强涡旋中有着不可忽略的作用。在无基本气流径向切变的涡旋系统中,在Rossby参数β的作用下有涡旋Rossby波出现。由于涡旋Rossby波存在,从而破坏了涡旋系统的轴对称性,表现出非轴对称特征。在考虑切向基本气流的涡度径向变化时,涡旋Rossby波的频散关系同时包含了切向基本气流涡度径向切变项和β项的作用。一般情况下涡旋Rossby波在切向基本气流涡度径向切变的作用下有向外频散能量的特性,而β项的作用随方位角θ而变化,使涡旋能量频散不对称。Abstract: Applying the scale analysis method, analysis of the Rossby parameter β effect which couldn't be neglected in the strong vortex is presented. It is shown that the action of Rossby parameter β can generate the vortex Rossby waves in strong cyclonic vortices withthe constant basic-state angular wind. The presence of the vortex Rossby waves generates the asymmetry of the vortex weakening the vortex axisymmetric structure. If one considers the radial variation of the basic-state angular wind, then the dispersion relation of the vortex Rossby waves contains the radial gradient term of the basic-state angular wind's vorticity and β term. The vortex Rossby waves always propagate outward in the presence of the radialshear of the basic-state angular wind, while the effect of the β term, which varies with the azimuthal angel θ, disperses the energy of the vortex system asymmetrically.
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Key words:
- vortex Rossby waves /
- Rossby parameter /
- tangential shear /
- asymmetry
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[1] SIMPSON R H. Exploring the eye of typhoon ''Marge'' 1951[J].Bull Amer Meteor Soc, 1952, 33: 286-298. [2] SHEA D J, GRAY W M. The hurricane inner core region. I: Symmetric and asymmetric structure[J].J Atmos Sci, 1973, 30: 1544-1564. [3] LEWIS B M, HAWKINS H F. Polygonal eye walls and rainbands in hurricanes[J].Bull Amer Meteor Soc, 1982, 63:1294-1300. [4] JORGENSEN D P. Mesoscale and convective-scale characteristics of mature hurricanes. Part II: Inner core structure ofHurricane Allen (1980) [J].J Atmos Sci, 1984, 41:1287-1311. [5] GALL R, TUTTLE J, HILDEBRAND P. Small-scale spiral bands observed in Hurricanes Andrew, Hugo, and Erin[J].Mon Wea Rev, 1998, 126: 1749-1766. [6] KUO H C, WILLIAMS R T, CHEN J H. A possible mechanism for the eye rotation of Typhoon Herb[J].J Atmos Sci, 1999,56:1659-1673. [7] REASOR P D, MONTGOMERY M T. Low-wavenumber structure and evolution of the hurricane inner core observed byairborne daul-Doppler radar[J].Mon Wea Rev, 2000, 128:1653-1680. [8] NEUMAN S, BOYD J G. Hurricane movement and variable locations of high intensity spot in wall cloud radar echo[J].MonWea Rev, 1962, 90: 371-374. [9] WILLOUGHBY H E. Nonlinear motion of a shallow-water barotropic vortex[J].J Atmos Sci, 1994, 51: 3722-3744. [10] WANG Y, HOLLAND G J. Beta drift of baroclinic vortices. Part II: Diabatic vortices[J].J Atmos Sci, 1996, 53: 1133-1153. [11] WANG Y, HOLLAND G J. Tropical cyclone motion and evolution in vertical shear[J].J Atmos Sci, 1996, 53: 3313-3332. [12] WILLOUGHBY H E. Temporal changes of the primary circulation in tropical cyclones[J].J Atmos Sci, 1990, 47: 242-264. [13] HOLLAND G J, MERRILL R T. On the dynamics of tropical cyclone structure changes[J].Quart J Roy Meteor Soc, 1984,110: 723-745. [14] CHALLA M, PFEFFER R L, ZHAO Q, et al. Can eddy fluxes serve as a catalyst for hurricane and typhoonformation?[J] J Atmos Sci, 1998, 55: 2201-2219. [15] ABDULLAH A J. The spiral bands of a hurricane: A possible dynamic explanation[J].J Atmos Sci, 1966, 23: 367-375. [16] KURIHARA Y, On the development of spiral bands in a tropical cyclone[J].J Atmos Sci, 1976, 33:940-958. [17] WILLOUGHBY H E. A possible mechanism for the formation of hurricane rainbands[J].J Atmos Sci, 1978, 35: 836-848. [18] MACDONALD N J. The evidence for the existence of Rossby-type waves in the hurricane vortex[J].Tellus, 1968, 20: 138-150. [19] GUINN T, SCHUBERT W H. Hurricane spiral bands[J].J Atmos Sci, 1993, 50:3380-3404. [20] MONTGOMERY M T, KALLENBACH R J. A theory for vortex Rossby-waves and its application to spiral bands andintensity changes in hurricanes[J].Quart J Roy Meteor Soc, 1997, 123:435-465. [21] MONTGOMERY M T, ENAGONIO J. Tropical cyclogenesis via convectively forced vortex Rossby waves in a three-dimensional quasi-geostrophic model[J].J Atmos Sci, 1998, 55: 3176-3207. [22] MOLLER J D, MONTGOMERY M T. Vortex Rossby waves and hurricane intensification in a barotropic model[J].J Atmos Sci, 1999, 56: 1674-1687. [23] MOLLER J D, MONTGOMERY M T. Tropical cyclone evolution via potential vorticity anomalies in a three-dimensionalbalance model[J].J Atmos Sci, 2000, 57: 3366-3387. [24] WANG Y. An explicit simulation of tropical cyclones with a triply nested movable mesh primitive equation model-TCM3.Part I: Model description and control experiment[J].Mon Wea Rev, 2001, 129: 1370-1394. [25] SHAPIRO L J,MONTGOMERY M T. A Three-dimensional balance theory for apidly rotating vortex[J].J Atmos Sci,1993, 50: 3322-3335. [26] 罗哲贤. β项和非线性平流对台风结构的作用[J].热带气象学报,1994,10: 204-211. [27] LUO Z X. Study of effects of β term and nonlinear advection on the structure of tropical cyclone[J].Journal of tropicalmeteorology(in Chinese), 1994, 10: 204-211.
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