NDLI: Two-way coupling of fluids to rigid and deformable solids and shells

Content Provider	ACM Digital Library
Author	Shinar, Tamar Su, Jonathan Robinson-mosher, Avi Fedkiw, Ronald Gretarsson, Jon
Copyright Year	2008
Abstract	We propose a novel solid/fluid coupling method that treats the coupled system in a fully implicit manner making it stable for arbitrary time steps, large density ratios, etc. In contrast to previous work in computer graphics, we derive our method using a simple back-of-the-envelope approach which lumps the solid and fluid momenta together, and which we show exactly conserves the momentum of the coupled system. Notably, our method uses the standard Cartesian fluid discretization and does not require (moving) conforming tetrahedral meshes or ALE frameworks. Furthermore, we use a standard Lagrangian framework for the solid, thus supporting arbitrary solid constitutive models, both implicit and explicit time integration, etc. The method is quite general, working for smoke, water, and multiphase fluids as well as both rigid and deformable solids, and both volumes and thin shells. Rigid shells and cloth are handled automatically without special treatment, and we support fully one-sided discretizations without leaking. Our equations are fully symmetric, allowing for the use of fast solvers, which is a natural result of properly conserving momentum. Finally, for simple explicit time integration of rigid bodies, we show that our equations reduce to form similar to previous work via a single block Gaussian elimination operation, but that this approach scales poorly, i.e. as though four spatial dimensions rather than three.
Starting Page	1
Ending Page	9
Page Count	9
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/1360612.1360645
Volume Number	27
Issue Number	3
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2008-08-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Stability Two-way solid/fluid coupling
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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