Discrete viscous threads

9 years 6 months ago
Discrete viscous threads
We present a continuum-based discrete model for thin threads of viscous fluid by drawing upon the Rayleigh analogy to elastic rods, demonstrating canonical coiling, folding, and breakup in dynamic simulations. Our derivation emphasizes space-time symmetry, which sheds light on the role of time-parallel transport in eliminating—without approximation—all but an O(n) band of entries of the physical system’s energy Hessian. The result is a fast, unified, implicit treatment of viscous threads and elastic rods that closely reproduces a variety of fascinating physical phenomena, including hysteretic transitions between coiling regimes, competition between surface tension and gravity, and the first numerical fluidmechanical sewing machine. The novel implicit treatment also yields an order of magnitude speedup in our elastic rod dynamics. CR Categories: I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism—Animation
Miklós Bergou, Basile Audoly, Etienne Vouga, Max
Added 28 Jul 2010
Updated 29 Jul 2010
Type Conference
Year 2010
Authors Miklós Bergou, Basile Audoly, Etienne Vouga, Max Wardetzky, Eitan Grinspun
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