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Volume 22, Issue 3
Interaction of a Vortex Induced by a Rotating Cylinder with a Plane

Daozhi Han, Yifeng Hou & Roger Temam

DOI: 10.4208/cicp.OA-2016-0190

Commun. Comput. Phys., 22 (2017), pp. 599-619.

Published online: 2017-09

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  • 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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@Article{CiCP-22-599, author = {Daozhi Han, Yifeng Hou and Roger Temam}, title = {Interaction of a Vortex Induced by a Rotating Cylinder with a Plane}, journal = {Communications in Computational Physics}, year = {2017}, volume = {22}, number = {3}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0190}, url = {http://global-sci.org/intro/article_detail/cicp/9974.html} }
TY - JOUR T1 - Interaction of a Vortex Induced by a Rotating Cylinder with a Plane AU - Daozhi Han, Yifeng Hou & Roger Temam JO - Communications in Computational Physics VL - 3 SP - 599 EP - 619 PY - 2017 DA - 2017/09 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2016-0190 UR - https://global-sci.org/intro/article_detail/cicp/9974.html KW - AB -

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.

Daozhi Han, Yifeng Hou and Roger Temam. (2017). Interaction of a Vortex Induced by a Rotating Cylinder with a Plane. Communications in Computational Physics. 22 (3). 599-619. doi:10.4208/cicp.OA-2016-0190
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