research-article

Accurate viscous free surfaces for buckling, coiling, and rotating liquids

Authors:

Christopher Batty,

Robert BridsonAuthors Info & Claims

SCA '08: Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation

Pages 219 - 228

Published: 07 July 2008 Publication History

Abstract

We present a fully implicit Eulerian technique for simulating free surface viscous liquids which eliminates artifacts in previous approaches, efficiently supports variable viscosity, and allows the simulation of more compelling viscous behaviour than previously achieved in graphics. Our method exploits a variational principle which automatically enforces the complex boundary condition on the shear stress at the free surface, while giving rise to a simple discretization with a symmetric positive definite linear system. We demonstrate examples of our technique capturing realistic buckling, folding and coiling behavior. In addition, we explain how to handle domains whose boundary comprises both ghost fluid Dirichlet and variational Neumann parts, allowing correct behaviour at free surfaces and solid walls for both our viscous solve and the variational pressure projection of Batty et al. [BBB07].

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Index Terms

Accurate viscous free surfaces for buckling, coiling, and rotating liquids
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

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Information & Contributors

Information

Published In

cover image ACM Conferences

SCA '08: Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation

July 2008

230 pages

ISBN:9783905674101

Conference Chairs:
Eugene Fiume,
Jerry Tessendorf,
Program Chairs:
Markus Gross,
Doug James

Sponsors

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
EUROGRAPHICS: The European Association for Computer Graphics

Publisher

Eurographics Association

Goslar, Germany

Publication History

Published: 07 July 2008

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SCA08

Sponsor:

SIGGRAPH
EUROGRAPHICS

SCA08: The ACM SIGGRAPH / Eurographics Symposium on Computer Animation

July 7 - 9, 2008

Dublin, Ireland

Acceptance Rates

SCA '08 Paper Acceptance Rate 24 of 60 submissions, 40%;

Overall Acceptance Rate 183 of 487 submissions, 38%

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Cited By

Ni XWang RWang BChen B(2024)An Induce-on-Boundary Magnetostatic Solver for Grid-Based FerrofluidsACM Transactions on Graphics10.1145/365812443:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658124
Li XNi XZhu BWang BChen B(2023)GARM-LS: A Gradient-Augmented Reference-Map Method for Level-Set Fluid SimulationACM Transactions on Graphics10.1145/361837742:6(1-20)Online publication date: 5-Dec-2023
https://dl.acm.org/doi/10.1145/3618377
Stomakhin ALesser SWretborn JFlynn SNixon JIllingworth NRollet ABlom KMchale D(2023)Pahi: A Unified Water Pipeline and ToolsetProceedings of the 2023 Digital Production Symposium10.1145/3603521.3604291(1-13)Online publication date: 5-Aug-2023
https://dl.acm.org/doi/10.1145/3603521.3604291
Panuelos JGoldade RGrinspun ELevin DBatty C(2023)PolyStokes: A Polynomial Model Reduction Method for Viscous Fluid SimulationACM Transactions on Graphics10.1145/359214642:4(1-13)Online publication date: 26-Jul-2023
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Su HXue THan CJiang CAanjaneya M(2021)A unified second-order accurate in time MPM formulation for simulating viscoelastic liquids with phase changeACM Transactions on Graphics10.1145/3450626.345982040:4(1-18)Online publication date: 19-Jul-2021
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Frâncu MAsgeirsson AErleben KRønnow M(2021)Locking-Proof TetrahedraACM Transactions on Graphics10.1145/344494940:2(1-17)Online publication date: 21-Apr-2021
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Takahashi TBatty C(2020)MonolithACM Transactions on Graphics10.1145/3414685.341779839:6(1-16)Online publication date: 27-Nov-2020
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Wang HJin YLuo AYang XZhu B(2020)Codimensional surface tension flow using moving-least-squares particlesACM Transactions on Graphics10.1145/3386569.339248739:4(42:1-42:14)Online publication date: 12-Aug-2020
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