Journal
ACM TRANSACTIONS ON GRAPHICS
Volume 29, Issue 4, Pages -Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/1778765.1778853
Keywords
viscous threads; coiling; Rayleigh analogy; elastic rods; hair simulation
Categories
Funding
- Sloan Foundation
- NSF [CCF-06-43268, IIS-09-16129, IIS-05-28402, CNS-06-14770]
- Direct For Computer & Info Scie & Enginr
- Div Of Information & Intelligent Systems [1117257] Funding Source: National Science Foundation
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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 fluid-mechanical sewing machine. The novel implicit treatment also yields an order of magnitude speedup in our elastic rod dynamics.
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