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The Mathematical Modelling of Cyclones in the Atmosphere Using a New Computational Equation

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Chunbao Li**^{1} and Jingwei Li^{2}

^{1}Institute of Ocean and Atmosphere, Dalian Maritime University, China

^{2}Department of Computing and Information Science, Guelph University, 204-387 Waterloo Avenue, Guelph, Ontario N1H 6Z8, Canada
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Abstract
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**1. The Generalised Poisson Equation of the vector field with both vorticity and divergence** is:

It is shown clearly that the Generalised Poisson Equation recedes to the usual Poisson Equation when the vorticity of the vector fields is zero, that is

**2. The Vector Speed Field expressed by the Synthetic Scalar Potential
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**3. The mathematical model of the cyclone
**

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4. The necessary condition for the existance of the Suction in the Column of Cyclones
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5. The vortex-cell linkage of cyclones
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The discrete samples of the function
are
, these samples make a sequence of vortices

Each vortex
is called a vortex-cell, they link and superimpose one another. They distribute along a spiral track in the cross-section of the column of a cyclone, as in the figure shown below.

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Figure1: The vortex-cell linkage in a spiral track
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The mathematical modelling of cyclones has been verified by the practical observation. According to the actual observation, a large tornado, which is a cyclone with suction, often harbours multiple suction vortices inside the column of dust, and subsidiary whirls continually form and dissipate around the bottom edges of a tornado. The spiralling pattern of a ground track left by a tornado shows the highly selective skipping effect that bypass one house and destroy a neighbouring one.