Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications

Abstract--The recently introduced notion of Finite-Time Lyapunov Exponent to characterize Coherent Lagrangian Structures provides a powerful framework for the visualization and analysis of complex technical flows. Its definition is simple and intuitive, and it has a deep theoretical foundation. While the application of this approach seems straightforward in theory, the associated computational cost is essentially prohibitive. Due to the Lagrangian nature of this technique, a huge number of particle paths must be computed to fill the space-time flow domain. In this paper, we propose a novel scheme for the adaptive computation of FTLE fields in two and three dimensions that significantly reduces the number of required particle paths. Furthermore, for three-dimensional flows, we show on several examples that meaningful results can be obtained by restricting the analysis to a well-chosen plane intersecting the flow domain. Finally, we examine some of the visualization aspects of FTLE-based...

• Type: Conference
• Year: 2007
• Where: VIS
• Authors: Christoph Garth, Florian Gerhardt, Xavier Tricoche, Hans Hagen
• Keywords: Coherent Lagrangian Structures, IEEE Visualization, Particle Paths, Space-time Flow Domain, VIS 2007, Visualization