-
Abstract:
Based on a barotropic vortex model, generalized energy-conserving equation was derived and two necessary conditions of basic flow destabilization are gained. These conditions correspond to generalized barotropic instability and super speed instability. They are instabilities of vortex and gravity inertial wave respectively. In order to relate to practical situation, a barotropic vortex was analyzed, the basic flow of which is similar to lower level basic wind field of tropical cyclones and the maximum wind radius of which is 500 km. The results show that generalized barotropic instability depending upon the radial gradient of relative vorticity can appear in this vortex. It can be concluded that unstable vortex Rossby wave may appear in barotropic vortex.
-
References
[1]
|
SENN H V, HISER H W. On the origin of hurricane spiralrain bands [J]. Journal of Meteorology, 1959, 16: 419-426. |
[2]
|
GRAY W M. On the stable of motion and internal stress ofthe hurricane [D]. Chicago: University of Chicago, 1964,20pp. |
[3]
|
GUINN T A, SCHUBERT W H. Hurricane spiral bands [J].Journal of. Atmospheric Science, 1993, 50: 3380-3403. |
[4]
|
HURIHARA Y. On the development of spiral bands intropical cyclone [J]. Journal of Atmospheric Sciences, 1976,33: 940-958. |
[5]
|
WILLOUGHBY H E. A possible mechanism for theformation of hurricane rainbands [J]. Journal ofAtmospheric. Sciences, 1978, 35: 838-848. |
[6]
|
HUANG Rui-xin, CHAO Ji-ping. The linear theory ofspiral cloud bands of typhoon [J]. Chinese Journal ofAtmospheric Sciences, 1980, 4: 148-158. |
[7]
|
ANTHES R A. Tropical cyclones- Their Evolution,Structure and Effects [J]. Meteorological Monographs,1982: 19: 1-20. |
[8]
|
MACDONALD N J. The evidence for the existence ofRossby-like waves in the hurricane vortex [J]. Tellus, 1966,18: 138-150. |
[9]
|
MONTGOMERY M T, KALLENBACH R J. A theory forvortex Rossby-waves and its application to spiral bands andintensity changes in hurricanes [J]. Quarterly Journal ofRoyal Meteorological Society, 1997, 123: 435-465. |
[10]
|
CHEN Y, YAU M K. Spiral bands in a simulatedhurricanes, Part I: vortex Rossby wave verification [J].Journal of Atmospheric Sciences, 2001, 56: 1224-1228. |
[11]
|
YU Zhi-hao. The spiral rain bands of tropical cycloneand vortex Rossby waves [J]. Acta Meteorological Sinica,2002, 60: 502-507. |
[12]
|
HUANG Hong, ZHANG Ming. Study on destabilizationof spiral wave in barotropic vortex [J]. Journal of TropicalMeteorology, 2003: 19,195-202. |
[13]
|
LIANG Dan-qing, ZHANG Ming. The spiral waveinstability in vortex of two-layer barotropic fluid [J].Journal of Tropical Meteorology, 2003, 19: 405-412. |
[14]
|
ZENG Qing-cun. The mathematical and physicalfoundation of numerical weather prediction [M]. Beijing:Science Press, 1979, pp471. |
[15]
|
DRAZIN P G, HOWARD L N. Hydrodynamic stability ofparalled flow of inviscid fluid [J]. Advances in AppliedMechanics, 1966, 9: 1-89. |
-
-
-