Padilla, Marcel and Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and Schröder, Peter (2019) On bubble rings and ink chandeliers. ACM Transactions on Graphics, 38 (4). Art. No. 129. ISSN 0730-0301. doi:10.1145/3306346.3322962. https://resolver.caltech.edu/CaltechAUTHORS:20190712-133502830
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Abstract
We introduce variable thickness, viscous vortex filaments. These can model such varied phenomena as underwater bubble rings or the intricate "chandeliers" formed by ink dropping into fluid. Treating the evolution of such filaments as an instance of Newtonian dynamics on a Riemannian configuration manifold we are able to extend classical work in the dynamics of vortex filaments through inclusion of viscous drag forces. The latter must be accounted for in low Reynolds number flows where they lead to significant variations in filament thickness and form an essential part of the observed dynamics. We develop and document both the underlying theory and associated practical numerical algorithms.
| Item Type: | Article | ||||||||
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| Additional Information: | © 2019 Association for Computing Machinery. This work was supported in part by the DFG Collaborative Research Center TRR 109 “Discretization in Geometry and Dynamics,” the Caltech Center for Information Science & Technology, and the Einstein Foundation Berlin. Additional support was provided by SideFX software. | ||||||||
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| Subject Keywords: | Differential geometry, physical modeling, geodesics, fluid simulation, vorticity methods, vortex filaments | ||||||||
| Issue or Number: | 4 | ||||||||
| DOI: | 10.1145/3306346.3322962 | ||||||||
| Record Number: | CaltechAUTHORS:20190712-133502830 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190712-133502830 | ||||||||
| Official Citation: | Marcel Padilla, Albert Chern, Felix Knöppel, Ulrich Pinkall, and Peter Schröder. 2019. On Bubble Rings and Ink Chandeliers. ACM Trans. Graph. 38, 4, Article 129 (July 2019), 14 pages. https://doi.org/10.1145/3306346.3322962 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 97133 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Tony Diaz | ||||||||
| Deposited On: | 12 Jul 2019 21:18 | ||||||||
| Last Modified: | 16 Nov 2021 17:27 |
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