Interaction of a vortex induced by a rotating cylinder with a plane

In this article, we study theoretically and numerically the interaction of a vortex induced by a rotating cylinder with a perpendicular plane. We show the existence of weak solutions to the swirling vortex models by using the Hopf extension method, and by an elegant contradiction argument, respectively. We demonstrate numerically that the model could produce phenomena of swirling vortex including boundary layer pumping and two-celled vortex that are observed in potential line vortex interacting with a plane and in a tornado.


Publication Date:
Jul 06 2017
Date Submitted:
Aug 10 2018
Pagination:
519-599
ISSN:
1991-7120
Citation:
Communications in Computational Physics
22
3
Note:
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 Record created 2018-08-10, last modified 2019-04-03


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