Hele-Shaw Flow Simulation with Interactive Control using Complex Barycentric Coordinates (Unknown language)

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Hele-Shaw flow describes the slow flow of a viscous liquid between two parallel plates separated by a small gap. In some configurations such a flow generates instabilities known as Saffman-Taylor fingers, which form intricate visual patterns. While these patterns have been an inspiration for artists, as well as thoroughly analyzed by mathematicians, efficiently simulating them remains challenging. The main difficulty involves efficiently computing a harmonic function on a time-varying planar domain, a problem which has been recently addressed in the shape deformation literature using a complex-variable formulation of generalized barycentric coordinates. We propose to leverage similar machinery, and show how the model equations for the Hele-Shaw flow can be formulated in this framework. This allows us to efficiently simulate the flow, while allowing interactive user control of the behavior of the fingers. We additionally show that complex barycentric coordinates are applicable to the exterior domain, and use them to simulate two-phase flow, yielding a variety of interesting patterns.

Table of contents conference proceedings

The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.

1
Asynchronous Implicit Backward Euler Integration
Zhao, Danyong / Li, Yijing / Barbic, Jernej | 2016
11
A Macroblock Optimization for Grid-based Nonlinear Elasticity
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21
ADMM \supseteq Projective Dynamics: Fast Simulation of General Constitutive Models
Narain, Rahul / Overby, Matthew / Brown, George E. | 2016
29
Enriching SPH Simulation by Approximate Capillary Waves
Yang, Sheng / He, Xiaowei / Wang, Huamin / Li, Sheng / Wang, Guoping / Wu, Enhua / Zhou, Kun | 2016
37
Topology-Aware Neighborhoods for Point-Based Simulation and Reconstruction
Canezin, Florian / Guennebaud, Gaël / Barthe, Loïc | 2016
49
Constrained Neighbor Lists for SPH-based Fluid Simulations
Winchenbach, Rene / Hochstetter, Hendrik / Kolb, Andreas | 2016
57
Versatile Interactions at Interfaces for SPH-Based Simulations
Yang, Tao / Lin, Ming C. / Martin, Ralph R. / Chang, Jian / Hu, Shi-Min | 2016
67
Two-way Coupling of Fluids to Reduced Deformable Bodies
Lu, Wenlong / Jin, Ning / Fedkiw, Ronald P. | 2016
77
Compressing Fluid Subspaces
Jones, Aaron Demby / Sen, Pradeep / Kim, Theodore | 2016
85
Hele-Shaw Flow Simulation with Interactive Control using Complex Barycentric Coordinates
Segall, Aviv / Vantzos, Orestis / Ben-Chen, Mirela | 2016
97
Repurposing Hand Animation for Interactive Applications
Bailey, Stephen W. / Watt, Martin / O'Brien, James F. | 2016
107
Building and Animating User-Specific Volumetric Face Rigs
Ichim, Alexandru-Eugen / Kavan, Ladislav / Nimier-David, Merlin / Pauly, Mark | 2016
119
Art-Directed Muscle Simulation for High-End Facial Animation
Cong, Matthew / Bhat, Kiran S. / Fedkiw, Ronald P. | 2016
129
Accurate Simulation of Wound Healing and Skin Deformation
Feess, Stefan / Kurfiss, Kathrin / Fedkiw, Ronald P. / Michels, Dominik L. | 2016
139
Dynamic Group Behaviors for Interactive Crowd Simulation
He, Liang / Pan, Jia / Narang, Sahil / Manocha, Dinesh | 2016
149
A Data-driven Model for Lane-changing in Traffic Simulation
Bi, Huikun / Mao, Tianlu / Wang, Zhaoqi / Deng, Zhigang | 2016
159
Real-time Simulation of Large Elasto-Plastic Deformation with Shape Matching
Chentanez, Nuttapong / Müller, Matthias / Macklin, Miles | 2016
169
Position and Orientation Based Cosserat Rods
Kugelstadt, Tassilo / Schömer, Elmar | 2016
179
Deployable 3D Linkages with Collision Avoidance
Zheng, Changxi / Sun, Timothy / Chen, Xiang | 2016
189
Hierarchical hp-Adaptive Signed Distance Fields
Koschier, Dan / Deul, Crispin / Bender, Jan | 2016
199
CANVAS: Computer-Assisted Narrative Animation Synthesis
Kapadia, Mubbasir / Frey, Seth / Shoulson, Alexander / Sumner, Robert W. / Gross, Markus | 2016
211
Real-Time Sound Synthesis for Paper Material Based on Geometric Analysis
Schreck, Camille / Rohmer, Damien / James, Doug L. / Hahmann, Stefanie / Cani, Marie-Paule | 2016
221
Large-Scale Finite State Game Engines
Stanton, Matt / Geddert, Sascha / Blumer, Adrian / Hormis, Paul / Nealen, Andy / Cooper, Seth / Treuille, Adrien | 2016
231
Interactive Physically-Based Sound Design of 3D Model using Material Optimization
Yamamoto, Kazuhiko / Igarashi, Takeo | 2016
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