Physical Mathematics Seminar

An Objective Definition of a Vortex


George Haller

Department of Mechanical Engineering
Massachusetts Institute of Technology

Tuesday September 21, 2004
2:30 PM
Building 2, Room 338




Abstract

The most widely used definitions of a vortex are not objective: they identify different structures as vortices in frames that rotate relative to each other. Yet a frame-independent vortex definition is essential for rotating flows and for flows with interacting vortices. In this talk, I give an objective description of vortices using dynamical systems methods. I show on examples how the resulting vortex criterion outperforms earlier frame-dependent criteria.

 

Massachusetts Institute of Technology
Department of Mathematics
Cambridge, MA 02139