Interaction of a vortex induced by a rotating cylinder with a plane
Numerical Analysis
2017-08-02 v1
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.
Keywords
Cite
@article{arxiv.1611.03917,
title = {Interaction of a vortex induced by a rotating cylinder with a plane},
author = {Daozhi Han and Yifeng Hou and Roger Temam},
journal= {arXiv preprint arXiv:1611.03917},
year = {2017}
}