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arXiv 1507.08308physics.flu-dynmath.AP
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摩擦力对旋涡运动影响的数学模型

Mathematical model of influence of friction on the vortex motion

Olga Rozanova, Jui-Ling Yu, Chin-Kun Hu

摘要:

本文研究了无粘性分层可压缩旋转介质中线摩擦对涡旋运动的影响。我们的方法可以应用于描述一个热带气旋接近陆地的复杂行为。特别是,我们表明,几个功能的涡旋在大气中,如一个显着的轨迹偏转,突然衰减和加强,可以解释已经通过最简单的二维正压模式,这是一个结果,平均在高度上的原始方程的空气运动在大气中。我们的理论考虑是在一个很好的符合实验数据。与其他模型相比,在第一个额外的物理合理的简化,我们处理的特殊解决方案的完整系统。我们的方法能够解释气旋吸引陆地和气旋与岛屿相互作用的现象。

英文摘要:

We study the influence of linear friction on the vortex motion in a non-viscous stratified compressible rotating media. Our method can be applied to describe the complex behavior of a tropical cyclone approaching land. In particular, we show that several features of the vortex in the atmosphere such as a significant track deflection, sudden decay and intensification, can be explained already by means of the simplest two dimensional barotropic model, which is a result of averaging over the height in the primitive equations of air motion in the atmosphere. Our theoretical considerations are in a good compliance with the experimental data. In contrast to other models, where first the additional physically reasonable simplifications are made, we deal with special solutions of the full system. Our method is able to explain the phenomenon of the cyclone attracting to the land and interaction of the cyclone with an island.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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