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Predictor-Corrector Schemes for Visualization of Smoothed Particle Hydrodynamics Data

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Executive Summary

This paper presents a method for vortex core line extraction which operates directly on the Smoothed Particle Hydrodynamics (SPH) representation and, by this, generates smoother and more (spatially and temporally) coherent results in an efficient way. The underlying predictor-corrector scheme is general enough to be applied to other line-type features and it is extendable to the extraction of surfaces such as isosurfaces or Lagrangian coherent structures. The proposed method exploits temporal coherence to speed up computation for subsequent time steps. The paper shows how the predictor-corrector formulation can be specialized for several variants of vortex core line definitions including two recent unsteady extensions, and the paper contributes a theoretical and practical comparison of these.

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