
This Article  
 
Share  
Bibliographic References  
Add to:  
Digg Furl Spurl Blink Simpy Del.icio.us Y!MyWeb  
Search  
 
ASCII Text  x  
Matthias MuellerFischer, N. Chentanez, "A Multigrid Fluid Pressure Solver Handling Separating Solid Boundary Conditions," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 8, pp. 11911201, Aug., 2012.  
BibTex  x  
@article{ 10.1109/TVCG.2012.86, author = {Matthias MuellerFischer and N. Chentanez}, title = {A Multigrid Fluid Pressure Solver Handling Separating Solid Boundary Conditions}, journal ={IEEE Transactions on Visualization and Computer Graphics}, volume = {18}, number = {8}, issn = {10772626}, year = {2012}, pages = {11911201}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.86}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Visualization and Computer Graphics TI  A Multigrid Fluid Pressure Solver Handling Separating Solid Boundary Conditions IS  8 SN  10772626 SP1191 EP1201 EPD  11911201 A1  Matthias MuellerFischer, A1  N. Chentanez, PY  2012 KW  quadratic programming KW  computer graphics KW  differential equations KW  Poisson equation KW  QP solvers KW  multigrid fluid pressure solver KW  solid boundary conditions KW  linear complementarity problem KW  LCP KW  Poisson equation KW  Eulerian liquid simulation KW  pressure projection step KW  3D liquid simulations KW  quadratic programming KW  Solids KW  Boundary conditions KW  Mathematical model KW  Multigrid methods KW  Equations KW  Linear systems KW  Solid modeling KW  physicsbased animation. KW  Multigrid KW  boundary condition KW  linear complementarity KW  fluid simulation VL  18 JA  IEEE Transactions on Visualization and Computer Graphics ER   
[1] C. Batty, F. Bertails, and R. Bridson, "A Fast Variational Framework for Accurate SolidFluid Coupling," ACM Trans. Graphics, vol. 26, no. 3, p. 100, 2007.
[2] M.C. Ferris and T.S. Munson, "Complementarity Problems in GAMS and the PATH Solver," J. Economic Dynamics and Control, vol. 24, p. 2000, 1998.
[3] C. Batty and R. Bridson, "Accurate Viscous Free Surfaces for Buckling, Coiling, and Rotating Liquids," Proc. ACM/Eurographics Symp. Computer Animation, pp. 219228, 2008.
[4] F. Harlow and J. Welch, "Numerical Calculation of TimeDependent Viscous Incompressible Flow of Fluid with a Free Surface," The Physics of Fluids, vol. 8, pp. 21822189, 1965.
[5] J.A. Viecelli, "A Method for Including Arbitrary External Boundaries in the MAC Incompressible Fluid Computing Technique," J. Computational Physics, vol. 4, pp. 543551, Dec. 1969.
[6] N. Foster and D. Metaxas, "Realistic Animation of Liquids," Graphical Models and Image Processing, vol. 58, no. 5, pp. 471483, 1996.
[7] N. Foster and R. Fedkiw, "Practical Animation of Liquids," Proc. SIGGRAPH, pp. 2330, Aug. 2001.
[8] B. Houston, C. Bond, and M. Wiebe, "A Unified Approach for Modeling Complex Occlusions in Fluid Simulations," Proc. ACM SIGGRAPH Conf. Sketches & Applications, p. 1, 2003.
[9] N. Rasmussen, D. Enright, D. Nguyen, S. Marino, N. Sumner, W. Geiger, S. Hoon, and R. Fedkiw, "Directable Photorealistic Liquids," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation, pp. 193202, July 2004.
[10] R. Narain, A. Golas, and M.C. Lin, "FreeFlowing Granular Materials with TwoWay Solid Coupling," ACM Trans. Graphics, vol. 29, pp. 173:1173:10, Dec. 2010.
[11] Z. Dostál and J. Schöberl, "Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination," Computational Optimization and Applications, vol. 30, pp. 2343, Jan. 2005.
[12] S.F. McCormick, Multigrid Methods. SIAM, 1987.
[13] L. Shi, Y. Yu, N. Bell, and W. wen Feng, "A Fast Multigrid Algorithm for Mesh Deformation," ACM Trans. Graphics, vol. 25, pp. 11081117, 2006.
[14] Y. Zhu, E. Sifakis, J. Teran, and A. Brandt, "An Efficient Multigrid Method for the Simulation of HighResolution Elastic Solids," ACM Trans. Graphics, vol. 29, pp. 16:116:18, Apr. 2010.
[15] M. Mueller, "Hierarchical Position Based Dynamics," Proc. Virtual Reality Interactions and Physical Simulations, pp. 110, 2008.
[16] N. Chentanez, B.E. Feldman, F. Labelle, J.F. O'Brien, and J.R. Shewchuk, "Liquid Simulation on LatticeBased Tetrahedral Meshes," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation, pp. 219228, 2007.
[17] J. Molemaker, J.M. Cohen, S. Patel, and J. Noh, "Low Viscosity Flow Simulations for Animation," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation, pp. 918, 2008.
[18] M. Lentine, W. Zheng, and R. Fedkiw, "A Novel Algorithm for Incompressible Flow Using Only a Coarse Grid Projection," Proc. SIGGRAPH, pp. 114:1114:9, July 2010.
[19] A. Mcadams, E. Sifakis, and J. Teran, "A Parallel Multigrid Poisson Solver for Fluids Simulation on Large Grids," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation, 2010.
[20] N. Chentanez and M. Müller, "RealTime Eulerian Water Simulation Using a Restricted Tall Cell Grid," ACM Trans. Graphics, vol. 30, no. 4, p. 82, 2011.
[21] Y. Zhu and R. Bridson, "Animating Sand as a Fluid," Proc. SIGGRAPH, pp. 965972, 2005.
[22] D. Enright and R. Fedkiw, "Robust Treatment of Interfaces for Fluid Flows and Computer Graphics," Proc. "Computer Graphics," Ninth Int'l Conf. Hyperbolic Problems Theory, Numerics, Applications, 2002.
[23] A. RobinsonMosher, T. Shinar, J. Gretarsson, J. Su, and R. Fedkiw, "TwoWay Coupling of Fluids to Rigid and Deformable Solids and Shells," ACM Trans. Graphics, vol. 27, pp. 46:146:9, Aug. 2008.