Donaldson-Sullivan tornado model

The purpose of this paper is to analytically and numerically explore the Generalize Donaldson-Sullivan Tornado Model. Essentially, the Donaldson-Sullivan tornado model is a stationary solution of the Navier-Stokes equation. This solution was derived in the late 1950's and early 1960's and was believed to model a tornado. As the solution is quite complicated and almost impossible to analytically investigate, a numerical investigation is called for. As one will see. the Donaldson-Sullivan Tornado Model shares some qualities with those of an actual tornado. However, one will find that there are many more properties of this solution that do not appear to emulate a tornado.

The case ^ / 1 or the Generalized Donaldson-Sullivan Tornado Model is another stationary solution of the Navier-Stokes equation. Like the Donaldson-Sullivan Solution, this solution is quite complicated and requires the use of numerical techniques to efficiently explore its properties. As one will see. this solution possesses some extremely interesting properties. However, it is the b(>lief of the au;hor (.[" ;';.:.- i^n^,: : that these properties do not accurately represent the behavior of a tornado.