Interaction of a Vortex Induced by a Rotating Cylinder with a Plane. (6th July 2017)

• Record Type: Journal Article
• Authors: Han, Daozhi; Hou, Yifeng; Temam, Roger
• Is Part Of: Communications in computational physics. Volume 22:Number 3(2017:Sep.)
• Page Start: 599
• Page End: 619
• Publication Date: 2017-07-06
• Subjects: 76U05, -- 76D03, -- 76D17, -- 65Z05; Tornado, -- swirling vortex, -- Navier-Stokes, -- axisymmetric flow, -- boundary layer; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0190
• Languages: English
• ISSNs: 1815-2406

Abstract

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.