Multiphase Flow of Immiscible Fluids on Unstructured Moving Meshes (English)

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In this paper, we present a method for animating multiphase flow of immiscible fluids using unstructured moving meshes. Our underlying discretization is an unstructured tetrahedral mesh, the deformable simplicial complex (DSC), that moves with the flow in a Lagrangian manner. Mesh optimization operations improve element quality and avoid element inversion. In the context of multiphase flow, we guarantee that every element is occupied by a single fluid and, consequently, the interface between fluids is represented by a set of faces in the simplicial complex. This approach ensures that the underlying discretization matches the physics and avoids the additional book-keeping required in grid-based methods where multiple fluids may occupy the same cell. Our Lagrangian approach naturally leads us to adopt a finite element approach to simulation, in contrast to the finite volume approaches adopted by a majority of fluid simulation techniques that use tetrahedral meshes. We characterize fluid simulation as an optimization problem allowing for full coupling of the pressure and velocity fields and the incorporation of a second-order surface energy. We introduce a preconditioner based on the diagonal Schur complement and solve our optimization on the GPU. We provide the results of parameter studies as well as a performance analysis of our method.

Table of contents conference proceedings

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1
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19
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25
Energetically Consistent Invertible Elasticity
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33
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43
Finger Walking: Motion Editing with Contact-Based Hand Performance
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53
Interactive Steering of Mesh Animations
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59
Occlusion-free Camera Control for Multiple Targets
Christie, Marc / Normand, Jean-Marie / Olivier, Patrick | 2012
65
Efficient Composition for Virtual Camera Control
Lino, Christophe / Christie, Marc | 2012
71
Mathematical Analysis on Affine Maps for 2D Shape Interpolation
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77
Smoke Sheets for Graph-Structured Vortex Filaments
Barnat, Alfred / Pollard, Nancy S. | 2012
87
Linear-Time Smoke Animation with Vortex Sheet Meshes
Brochu, Tyson / Keeler, Todd / Bridson, Robert | 2012
97
Multiphase Flow of Immiscible Fluids on Unstructured Moving Meshes
Misztal, Marek Krzysztof / Erleben, Kenny / Bargteil, Adam / Fursund, Jens / Christensen, Brian Bunch / Bærentzen, J. Andreas / Bridson, Robert | 2012
107
Simulating Free Surface Flow with Very Large Time Steps
Lentine, Michael / Cong, Matthew / Patkar, Saket / Fedkiw, Ronald | 2012
117
Tiling Motion Patches
Kim, Manmyung / Hwang, Youngseok / Hyun, Kyunglyul / Lee, Jehee | 2012
127
Precomputed Motion Maps for Unstructured Motion Capture
Mahmudi, Mentar / Kallmann, Marcelo | 2012
137
Contact-Invariant Optimization for Hand Manipulation
Mordatch, Igor / Popovic, Zoran / Todorov, Emanuel | 2012
145
Learning Motion Controllers with Adaptive Depth Perception
Lo, Wan-Yen / Knaus, Claude / Zwicker, Matthias | 2012
155
Task-driven Posture Optimization for Virtual Characters
Liu, Mingxing / Micaelli, Alain / Evrard, Paul / Escande, Adrien | 2012
165
Component-based Locomotion Composition
Kim, Yejin / Neff, Michael | 2012
175
Evaluating the Plausibility of Edited Throwing Animations
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183
Quaternion Space Sparse Decomposition for Motion Compression and Retrieval
Zhu, Mingyang / Sun, Huaijiang / Deng, Zhigang | 2012
193
Environment-aware Real-Time Crowd Control
Henry, Joseph / Shum, Hubert P. H. / Komura, Taku | 2012
201
Cloning Crowd Motions
Li, Yi / Christie, Marc / Siret, Orianne / Kulpa, Richard / Pettré, Julien | 2012
211
Simple Data-Driven Control for Simulated Bipeds
Geijtenbeek, T. / Pronost, Nicolas / Stappen, A. F. van der | 2012
221
Physically Plausible Simulation for Character Animation
Levine, Sergey / Popovic, Jovan | 2012
231
Misconceptions of PD Control in Animation
Allen, Brian F. / Faloutsos, Petros | 2012
235
Principal Geodesic Dynamics
Tournier, Maxime / Reveret, Lionel | 2012
245
Mass-Conserving Eulerian Liquid Simulation
Chentanez, Nuttapong / Müller, Matthias | 2012
255
Controlling Liquids Using Meshes
Raveendran, Karthik / Thuerey, Nils / Wojtan, Chris / Turk, Greg | 2012
265
Faster Acceleration Noise for Multibody Animations using Precomputed Soundbanks
Chadwick, Jeffrey N. / Zheng, Changxi / James, Doug L. | 2012
275
Dynamic Units of Visual Speech
Taylor, Sarah L. / Mahler, Moshe / Theobald, Barry-John / Matthews, Iain | 2012
285
Efficient Collision Detection for Brittle Fracture
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295
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305
Long Range Attachments - A Method to Simulate Inextensible Clothing in Computer Games
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311
The Intersection Contour Minimization Method for Untangling Oriented Deformable Surfaces
Ye, Juntao / Zhao, Jing | 2012
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