Vortex equilibria and methods for 3D inviscid flows
Speaker: Dan Lucas
Affiliation: Department of Mathematics, University of Bristol, UK
Time: 4:00PM
Date: Wednesday, May 01st 2013
Location: Merrion Room, Ground Floor, NexusUCD, University College Dublin. Blocks 9 & 10, Belfield Office Park
Abstract:
In this talk we begin by briefly motivating the study of three-dimensional inviscid vortex dynamics. In the first half we describe a new family of vortex equilibria possessing helical symmetry. These vortices are defined by planar contours bounding regions of uniform axial vorticity in a rotating frame. The computational method for converging upon the solutions is outlined and several equilibria configurations are presented. In the second part of the talk a new highly adaptive hybrid vortex method for the three-dimensional Euler equations is presented. Vorticity is defined in terms of Lagrangian vortex filaments and velocity is computed upon an adapted finite-volume grid. This allows the method to automatically and self-similarly track vortex stretching to extremely small scales, concentrating numerical effort in these regions. We then make use of our helical equilibria to validate the method and conclude by providing some future research ideas for this method, including exploring the regularity of the governing equations.
Tea/coffee will be provided. All are welcome - please pass on to anyone else you think may be interested.
Social Media Links