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

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dc.creatorPinkall, Ulrich
dc.creatorSpringborn, Boris
dc.creatorWeissmann, Steffen
dc.date2007-08-07
dc.date.accessioned2026-07-07T08:34:54Z
dc.date.available2026-07-07T08:34:54Z
dc.descriptionModelling 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.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0708.0979
dc.identifierhttp://arxiv.org/abs/0708.0979
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 12563-12576
dc.identifierdoi:10.1088/1751-8113/40/42/S04
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139598
dc.subjectExactly Solvable and Integrable Systems
dc.subjectDynamical Systems
dc.subjectFluid Dynamics
dc.titleA new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow
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