Abstract
A linear partial differential equation is derived in cylindrical-isobaric coordinates on the earth for the diagnostic study of the tangentially-averaged radial-vertical circulation within translating vortices. In the hydrodynamic stable atmosphere, the circulation will be forced through many dynamic and thermodynamic processes. These processes are associated with frictional torque, inertial torque, the horizontal and vertical divergence of eddy angular momentum, diabatic heating, adiabatic heating, and eddy temperature advection. For a given forcing, the intensity of circulation will increase with the decrease of static, inertial, and baroclinic stabilities. This paper also presents an explanation on the data interpolation from the latitude-longitude grid to the vortex volume gird and a brief discussion on the forcing processes.
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Bjerknes, J., and H. Solberg, 1922: Life cycle of cyclones and the polar front theory of atmospheric circulation. Geofys. Publikas Joner NorskeVidenskaps-Akad, Oslo 3(1), 1–18.
Charney, J., 1947: The dynamics of long waves in a baroclinic westerly current. J. Meteor., 4, 135–163.
Charney, J. G., and A. Eliassen, 1964: On the growth of the hurricane depression. J. Atmos. Sci-, 21, 68–75.
Eady, E. T., 1949: Long waves and cyclone waves. Tellus, 1(3), 33–52.
Eliassen, A., 1951: Slow thermally or frictionally controlled meridional circulation in a circular vortex. Astrophysica Norvebica, 5, 19–60.
Gallimore, R. G., and D. R. Johnson, 1981: The forcing of the meridional circulation of the isentropic zonally averaged circumpolar vortex. J. Atmos. Sci., 38, 583–599.
He Jinhai, Zhou Bing, Wen Min, and Li Feng, 2000: Study of the subtropical high’s vertical circulation structure and interannual variation features and the mechanism. Torrential Rain · Disaster, 1, 24–35 (in Chinese).
Hoskins, B. J., M. E. Mclntyre, and A. W. Robertson, 1985: On the use and significance of isentropic potential vorticity maps. Quart. J. Roy. Meteor. Soc, 111, 877–946.
Johnson, D. R., 1974: The absolute angular momentum of cyclones. Subsynoptic Extratropical Weather Systems: Observations, Analysis, Modeling and Prediction, Vol. II Seminars and workshops, Colloguium notes of the advanced study program and small scale analysis and prediction project. National Center for Atmospheric Research, Boulder, CO., [NTIS PB-247286], 821pp.
Johnson, D. R., and D. K. Hill, 1987: Quasi-Lagrangian diagnostics of a mediterranean cyclone: Isentropic results. Meteor. Atmos. Phys., 36, 118–140.
Johnson, D. R., and W. K. Downey, 1975a: Azimuthally averaged transport and budget equations for storms: Quasi-Lagrangian diagnostics 1. Mon. Wea. Rev., 103, 967–979.
Johnson, D. R., and W. K. Downey, 1975b: The absolute angular momentum of storms: Quasi-Lagrangian diagnostics 2. Mon. Wea. Rev., 103, 1063–1077.
Johnson, D. R., and W. K. Downey, 1976: The absolute angular momentum budget of an extratropical cyclone: Quasi-Lagrangian diagnostics 3. Mon. Wea. Rev., 104, 3–14.
Johnson, D. R., and Yuan Zhuojian, 1998: On the forcing of the radial-vertical circulation within cyclones-Part I: Concepts and equations. Advances in Atmospheric Sciences, 15, 344–369.
Johnson, D. R., and Yuan Zhuojian, 1999: The role of diabatic heating, torques and stabilities in forcing the radial-vertical circulation within cyclones-Part II: Case study of lee-side cyclones. Advances in Atmospheric Sciences, 16, 31–63.
Kleinschmidt, E., 1950a: Uber aufbau und entstehung uon Zyklonen (1. Teil). Meteor. Rundsch., 3, 1–6.
Kleinschmidt, E., 1950b: Uber aufbau und entstehung uon Zyklonen (2. Teil). Meteor. Rundsch., 3, 54–61.
Kleinschmidt, E., 1951: Uber aufbau und entstehung uon Zyklonen (3. Teil). Meteor. Rundsch, 4, 89–96.
Kleinschmidt, E., 1955: Die entstehung einer hohenzyklone uber nordamerika. Tellus, 7, 76–110.
Kleinschmidt, E., 1957: In dynamic meteorology bu Eliassen, A. and Kleinschmidt. E.. Met. Handbuch der Physik, 48, 112–129.
Kuo, H. -L., 1965: Forced and free meridional circulation in the atmosphere. J. Atmos. Sei., 13, 561–568.
Li Weiping, Wu Guoxiong, Liu Hui, and Liu Ping, 1999: A numerical simulation of the impact of the surface albedo on the subtropical high in North Africa. Acta Meteorologica Sinica, 57(6), 1–9 (in Chinese).
Liu Yimin, Liu Hui, Liu Ping, and Wu Guoxiong, 1999a: The effect of spatially nonuniform heating on the formation and variation of subtropical high. Part II: Land surface sensible heating and East Pacific subtropical high. Acta Meteorologica Sinica, 57, 385–396 (in Chinese).
Liu Yimin, Wu Guoxiong, Liu Hui, and Liu Ping, 1999b: The effect of spatially nonuniform heating on the formation and variation of subtropical high. Part HI: Condensation heating and South Asia high and western Pacific subtropical high. Acta Meteorologica Sinica, 57, 525–538 (in Chinese).
Petterssen, S., 1956: Weather Analysis and Forecasting. 2nd ed. Vol I, McGraw Hill, New York, 428pp.
Sawyer, J. S., 1956: Vertical circulation at meteorological fronts and its relation to frontogenesis. Proc. Roy. Soc. London, A 234, 346–362.
Sutcliffe, R. C, 1947: A contribution to the problem of development. Quart. J. Roy. Meteor. Soc, 73,370–383.
Wash, C. H. 1978: Diagnostics of observed and numerically simulated extratropical cyclones. Ph. D. Thesis, University of Wisconsin-Madisen, 215pp.
Wu Guoxiong, Sun Lan, Liu Hui, Sun Shufen, and Li Weiping, 1998: Impacts of sensible and latent heat flux over land surface on summer precipitation and subtropical high. East Asian Monsoon and Torrential Rain in China, China Meteorological Press, 161-169 (in Chinese).
Wu Guoxiong, Liu Yimin, and Liu Ping, 1999: The effect of spatially nonuniform heating on the formation and variation of subtropical high. Part I: Scale analysis. Acta Meteorologica Sinica, 57, 257–263 (in Chinese).
Wu Guoxiong, and Liu Yimin, 2000: Thermal Actaptation, overshooting, dispersion and subtropical anticyclone, Part I: Thermal Actaptation and overshooting. Chinese Journal of Atmospheric Sciences, 24, 433–446 (in Chinese).
Yuan Zhuojian, 1990: On the forcing of the meridional circulation within cyclones: An isentropic study. M. S. Thesis, University of Wisconsin-Madison, 72pp.
Yuan Zhuojian, 1993: The role of diabatic heating, torques and stabilities in forcing the radial-vertical circulation within cyclones. Ph. D. dissertation, University of Wisconsin-Madison, 198pp.
Yuan Zhuojian, and D. R. Johnson, 1998: 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. Advances in Atmospheric Sciences, 15, 447–488.
Yuan Zhuojian, Wang Tongmei, He Haiyan, Luo Huibang, and Guo Yufu, 2000: Acomparison between Numerical Simulations of forced Local Hadley (anti-Hadley) Circulation in East Asian and Indian Monsoon Regions. Advances in Atmospheric Sciences, 17, 538–554.
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Zhuojian, Y., Maoqiu, J. On the forced tangentially-averaged radial-vertical circulation within vortices part I: Concepts and equations. Adv. Atmos. Sci. 19, 953–964 (2002). https://doi.org/10.1007/s00376-002-0058-0
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DOI: https://doi.org/10.1007/s00376-002-0058-0