Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams

F. Da, C. Batty, C.J. Wojtan, E. Grinspun, in:, ACM, 2015.

Download
OA 8.97 MB

Conference Paper | Published | English
Author
; ; ;
Department
Abstract
Simulating the delightful dynamics of soap films, bubbles, and foams has traditionally required the use of a fully three-dimensional many-phase Navier-Stokes solver, even though their visual appearance is completely dominated by the thin liquid surface. We depart from earlier work on soap bubbles and foams by noting that their dynamics are naturally described by a Lagrangian vortex sheet model in which circulation is the primary variable. This leads us to derive a novel circulation-preserving surface-only discretization of foam dynamics driven by surface tension on a non-manifold triangle mesh. We represent the surface using a mesh-based multimaterial surface tracker which supports complex bubble topology changes, and evolve the surface according to the ambient air flow induced by a scalar circulation field stored on the mesh. Surface tension forces give rise to a simple update rule for circulation, even at non-manifold Plateau borders, based on a discrete measure of signed scalar mean curvature. We further incorporate vertex constraints to enable the interaction of soap films with wires. The result is a method that is at once simple, robust, and efficient, yet able to capture an array of soap films behaviors including foam rearrangement, catenoid collapse, blowing bubbles, and double bubbles being pulled apart.
Publishing Year
Date Published
2015-07-27
Volume
34
Issue
4
Article Number
149
Conference
SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques
Conference Location
Los Angeles, CA, United States
Conference Date
2015-08-09 – 2015-08-13
IST-REx-ID

Cite this

Da F, Batty C, Wojtan CJ, Grinspun E. Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams. In: Vol 34. ACM; 2015. doi:10.1145/2767003
Da, F., Batty, C., Wojtan, C. J., & Grinspun, E. (2015). Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams (Vol. 34). Presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, CA, United States: ACM. https://doi.org/10.1145/2767003
Da, Fang, Christopher Batty, Christopher J Wojtan, and Eitan Grinspun. “Double Bubbles sans Toil and Trouble: Discrete Circulation-Preserving Vortex Sheets for Soap Films and Foams,” Vol. 34. ACM, 2015. https://doi.org/10.1145/2767003.
F. Da, C. Batty, C. J. Wojtan, and E. Grinspun, “Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, CA, United States, 2015, vol. 34, no. 4.
Da F, Batty C, Wojtan CJ, Grinspun E. 2015. Double bubbles sans toil and trouble: discrete circulation-preserving vortex sheets for soap films and foams. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques vol. 34.
Da, Fang, et al. Double Bubbles sans Toil and Trouble: Discrete Circulation-Preserving Vortex Sheets for Soap Films and Foams. Vol. 34, no. 4, 149, ACM, 2015, doi:10.1145/2767003.
Main File(s)
Access Level
OA Open Access
Last Uploaded
2018-12-12T10:11:14Z


Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar