Interaction of a Vortex Induced by a Rotating Cylinder with a Plane

Interaction of a Vortex Induced by a Rotating Cylinder with a Plane

Year:    2017

Communications in Computational Physics, Vol. 22 (2017), Iss. 3 : pp. 599–619

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0190

Communications in Computational Physics, Vol. 22 (2017), Iss. 3 : pp. 599–619

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords: