Level set formulation of two-dimensional Lagrangian vortex detection methods

Level set formulation of two-dimensional Lagrangian vortex detection methods.

We propose here the use of the variational level set methodology to capture Lagrangian vortex boundaries in 2D unsteady velocity fields. This method reformulates earlier approaches that seek material vortex boundaries as extremum solutions of variational problems. We demonstrate the performance of this technique for two different variational formulations built upon different notions of coherenc...

Semi-Lagrangian Methods for Level Set Equations

High order numerical methods to two dimensional delta function integrals in level set methods

In this paper we design and analyze a class of high order numerical methods to delta function integrals appearing in level set methods in two dimensional case. The methods comprise approximating the mesh cell restrictions of the delta function integral. In each mesh cell the two dimensional delta function integral can be rewritten as a one dimensional ordinary integral with the smooth integrand...

Spectral-clustering approach to Lagrangian vortex detection.

One of the ubiquitous features of real-life turbulent flows is the existence and persistence of coherent vortices. Here we show that such coherent vortices can be extracted as clusters of Lagrangian trajectories. We carry out the clustering on a weighted graph, with the weights measuring pairwise distances of fluid trajectories in the extended phase space of positions and time. We then extract ...

Modeling two-dimensional solid-phase epitaxial regrowth using level set methods

methods S. Morarka, N. G. Rudawski, M. E. Law, K. S. Jones, and R. G. Elliman Department of Electrical and Computer Engineering, University of Florida, Gainesville, Florida 32611-6200, USA Department of Materials Science and Engineering, University of Florida, Gainesville, Florida 32611-6400, USA Department of Electronic Materials Engineering, Research School of Physical Sciences and Engineerin...