LI Zi-liang, FU Gang, GUO Jing-tian, DUAN Yi-hong, ZHANG Mei-gen. Topographic Effects on Polar Low and Tropical Cyclone Development in a Simple Theoretical Model[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1189-1201. doi: 10.3879/j.issn.1000-0887.2009.10.007
Citation: LI Zi-liang, FU Gang, GUO Jing-tian, DUAN Yi-hong, ZHANG Mei-gen. Topographic Effects on Polar Low and Tropical Cyclone Development in a Simple Theoretical Model[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1189-1201. doi: 10.3879/j.issn.1000-0887.2009.10.007

Topographic Effects on Polar Low and Tropical Cyclone Development in a Simple Theoretical Model

doi: 10.3879/j.issn.1000-0887.2009.10.007
  • Received Date: 2008-10-25
  • Rev Recd Date: 2009-09-06
  • Publish Date: 2009-10-15
  • The polar low and tropical cyclone type vortices over topography are assumed to beaxial-symmetrical and thermal wind balanced systems, which are solved as aninitial value problem of linearized vortex equation set in cylindrical coord inates. The roles of sensible and latent heating, friction and topography on the structure and intensification of polar low and tropical cyclone type vortices were an alyzed. The radial velocity, vertical velocity, azmiuthal velocity and the unstable growth rate including the topography effects are obtained. It is shown that the in teraction between flow and topography plays a significantrole for the structure and intens ification of polar low and tropical cyclone system. Analys is of the topography term indicate that in the up-slope side of the mountain, the radial in flow and the verticalascent forced by the mountain will in tensify the polar low and tropical cyclone type vortex and increase the unstable growthrate. However, in the lee side of the mountain, the radial inflow and the vertical descent forced by the mountain will weaken the polar low and tropical cyclone type vortex and decrease the unstable growth rate of polar low and tropical cyclone system. In addition, the evolutionary process and spatial structure of the polar low observed over the Japan Sea on 19 December 2003 were investigated by using observational data to verify this theoretical result.
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