A Simple Finite Volume Method for Adaptive Viscous Liquids

dc.contributor.authorBatty, Christopheren_US
dc.contributor.authorHouston, Benen_US
dc.contributor.editorA. Bargteil and M. van de Panneen_US
dc.date.accessioned2013-10-31T10:28:35Z
dc.date.available2013-10-31T10:28:35Z
dc.date.issued2011en_US
dc.description.abstractWe present the first spatially adaptive Eulerian fluid animation method to support challenging viscous liquid effects such as folding, coiling, and variable viscosity. We propose a tetrahedral node-based embedded finite volume method for fluid viscosity, adapted from popular techniques for Lagrangian deformable objects. Applied in an Eulerian fashion with implicit integration, this scheme stably and efficiently supports high viscosity fluids while yielding symmetric positive definite linear systems. To integrate this scheme into standard tetrahedral meshbased fluid simulators, which store normal velocities on faces rather than velocity vectors at nodes, we offer two methods to reconcile these representations. The first incorporates a mapping between different degrees offreedom into the viscosity solve itself. The second uses a FLIP-like approach to transfer velocity data between nodes and faces before and after the linear solve. The former offers tighter coupling by enabling the linear solver to act directly on the face velocities of the staggered mesh, while the latter provides a sparser linear system and a simpler implementation. We demonstrate the effectiveness of our approach with animations of spatially varying viscosity, realistic rotational motion, and viscous liquid buckling and coiling.en_US
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animationen_US
dc.identifier.isbn978-1-4503-0923-3en_US
dc.identifier.issn1727-5288en_US
dc.identifier.urihttps://doi.org/10.2312/SCA/SCA11/111-118en_US
dc.publisherThe Eurographics Associationen_US
dc.titleA Simple Finite Volume Method for Adaptive Viscous Liquidsen_US
Files