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.
Author: | Ulrich Pinkall, Boris A. Springborn, Steffen Weißmann |
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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 |