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A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow

Please always quote using this URN:urn:nbn:de:0296-matheon-6158
  • Modelling incompressible ideal fluids as a finite collection of vortex filaments is important in physics (super-fluidity, models for the onset of turbulence) as well as for numerical algorithms used in computer graphics for the real time simulation of smoke. Here we introduce a time-discrete evolution equation for arbitrary closed polygons in 3- space that is a discretisation of the localised induction approximation of filament motion. This discretisation shares with its continuum limit the property that it is a completely integrable system. We apply this polygon evolution to a significant improvement of the numerical algorithms used in Computer Graphics.

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Metadaten
Author:Ulrich Pinkall, Boris A. Springborn, Steffen Weißmann
URN:urn:nbn:de:0296-matheon-6158
Referee:John M. Sullivan
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2009/07/21
Release Date:2009/07/21
Institute:Technische Universität Berlin
Preprint Number:628
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