کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
979336 | 933339 | 2006 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A global variational approach to vortex core identification A global variational approach to vortex core identification](/preview/png/979336.png)
We present a global variational definition of a vortex core in three-dimensional flows, and describe its implementation for tracking principal vortex cores in a viscous fluid. Our definition is motivated by the observation that the line integral of vorticity along any path worthy of being called a vortex core is likely to be large. Inverting this observation, we define a vortex core as a curve for which this line integral is a local maximum in the space of all such curves (with appropriate boundary conditions). We present an algorithm by which candidate curves are evolved using a Ginsburg–Landau equation in order to locate vortex cores. We demonstrate the implementation of this algorithm using initial vorticity fields generated with clearly identifiable vortex cores, and evolved using a lattice Boltzmann Navier–Stokes solver.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 362, Issue 1, 15 March 2006, Pages 11–16