research-article

Continuum Foam: A Material Point Method for Shear-Dependent Flows

Authors:

Breannan Smith,

Christopher Batty,

Eitan GrinspunAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 34, Issue 5

Article No.: 160, Pages 1 - 20

https://doi.org/10.1145/2751541

Published: 03 November 2015 Publication History

Abstract

We consider the simulation of dense foams composed of microscopic bubbles, such as shaving cream and whipped cream. We represent foam not as a collection of discrete bubbles, but instead as a continuum. We employ the material point method (MPM) to discretize a hyperelastic constitutive relation augmented with the Herschel-Bulkley model of non-Newtonian viscoplastic flow, which is known to closely approximate foam behavior. Since large shearing flows in foam can produce poor distributions of material points, a typical MPM implementation can produce non-physical internal holes in the continuum. To address these artifacts, we introduce a particle resampling method for MPM. In addition, we introduce an explicit tearing model to prevent regions from shearing into artificially thin, honey-like threads. We evaluate our method's efficacy by simulating a number of dense foams, and we validate our method by comparing to real-world footage of foam.

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References

[1]

B. Adams, M. Pauly, R. Keiser, and L. J. Guibas. 2007. Adaptively sampled particle fluids. ACM Trans. Graph. 26, 3, 48:1--48:7.

Digital Library

[2]

R. Ando, N. Thürey, and R. Tsuruno. 2012. Preserving fluid sheets with adaptively sampled anisotropic particles. IEEE Trans. Visual. Comput. Graph. 18, 8, 1202--1214.

Digital Library

[3]

B. Banerjee. 2004. Material point method simulations of fragmenting cylinders. In Proceedings of the 17^th ASCE Engineering Mechanics Conference (EM'04).

[4]

A. W. Bargteil, C. Wojtan, J. K. Hodgins, and G. Turk. 2007. A finite element method for animating large viscoplastic flow. ACM Trans. Graph. 26, 3, 16:1--16:8.

Digital Library

[5]

H. Bhattacharya, Y. Gao, and A. Bargteil. 2011. A level-set method for skinning animated particle data. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'11). 17--24.

Digital Library

[6]

E. C. Bingham. 1922. In Fluidity and Plasticity. McGraw-Hill.

[7]

J. U. Brackbill and H. M. Ruppel. 1986. FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions. J. Comput. Phys. 65, 2, 314--343.

Digital Library

[8]

K. A. Brakke. 1992. The surface evolver. Experiment. Math. 1, 2, 141--165.

[9]

O. Busaryev, T. K. Dey, H. Wang, and Z. Ren. 2012. Animating bubble interactions in a liquid foam. ACM Trans. Graph. 31, 4, 63:1--63:8.

Digital Library

[10]

P. W. Cleary, S. H. Pyo, M. Prakash, and B. K. Koo. 2007. Bubbling and frothing liquids. ACM Trans. Graph. 26, 3, 97:1--97:6.

Digital Library

[11]

S. Cohen-Addad, R. Höhler, and O. Pitois. 2013. Flow in foams and flowing foams. Ann. Rev. Fluid Mechan. 45, 241--267.

[12]

R. L. Cook. 1986. Stochastic sampling in computer graphics. ACM Trans. Graph. 5, 1, 51--72.

Digital Library

[13]

G.-H. Cottet and P. D. Koumoutsakos. 2000. Vortex Methods: Theory and Practice. Cambridge University Press.

[14]

D. J. Durian, D. A. Weitz, and D. J. Pine. 1990. Dynamics and coarsening in three-dimensional foams. J. Phys. Condens. Matter 2, SA433.

[15]

R. Ďurikovič. 2001. Animation of soap bubble dynamics, cluster formation and collision. Comput. Graph. Forum 20, 3, 67--76.

[16]

M. S. Ebeida, S. A. Mitchell, A. Patney, A. A. Davidson, and J. D. Owens. 2012. A simple algorithm for maximal Poisson-disk sampling in high dimensions. Comput. Graph. Forum 31, 2, 785--794.

Digital Library

[17]

E. Edwards and R. Bridson. 2012. A high-order accurate particle-in-cell method. Int. J. Numer. Math. Engin. 90, 9, 1073--1088.

[18]

D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell. 2002. A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 183, 1, 83--116.

Digital Library

[19]

P. Garrett. 1993. Recent developments in the understanding of foam generation and stability. Chem. Engin. Sci. 48, 2, 367--392.

[20]

D. Gerszewski, H. Bhattacharya, and A. W. Bargteil. 2009. A point-based method for animating elastoplastic solids. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'09). 133--138.

Digital Library

[21]

T. G. Goktekin, A. W. Bargteil, and J. F. O'Brien. 2004. A method for animating viscoelastic fluids. ACM Trans. Graph. 23, 3, 463--468.

Digital Library

[22]

S. T. Greenwood and D. H. House. 2004. Better with bubbles: Enhancing the visual realism of simulated fluid. In Proceedings of the Annual ACM SIGGRAPH/Eurograhics Symposium on Computer Animation (SCA'04). 287--296.

Digital Library

[23]

Y. J. Guo and J. A. Nairn. 2006. Three-dimensional dynamic fracture analysis using the material point method. Comput. Model. Engin. Sci. 1, 1, 11--25.

[24]

A. Harder and C. Mangnall. 2013. Bubbles and foam in Partysaurus Rex. In ACM SIGGRAPH Talks (SIGGRAPH'13).

Digital Library

[25]

W. H. Herschel and R. Bulkley. 1926. Konsistenzmessungen von Gummi-Benzollösungen. Kolloid-Zeitschrift & Zeitschrift füür Polymere 39, 4, 291--300.

[26]

S. E. Hieber and P. Koumousakos. 2005. A Lagrangian particle level set method. J. Comput. Phys. 210, 342--367.

Digital Library

[27]

J.-M. Hong and C.-H. Kim. 2005. Discontinuous fluids. ACM Trans. Graph. 24, 3, 915--920.

Digital Library

[28]

J.-M. Hong, H.-Y. Lee, J.-C. Yoon, and C.-H. Kim. 2008. Bubbles alive. ACM Trans. Graph. 27, 3, 48:1--48:4.

Digital Library

[29]

M. Ihmsen, N. Akinci, G. Akinci, and M. Teschner. 2012. Unified spray, foam and air bubbles for particle-based fluids. The Vis. Comput. 28, 6--8, 669--677.

Digital Library

[30]

G. Irving, J. Teran, and R. Fedkiw. 2004. Invertible finite elements for roust simulation of large deformation. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'04). 131--140.

Digital Library

[31]

B. Jones, S. Ward, A. Jallepalli, J. Perenia, and A. W. Bargteil. 2014. Deformation embedding for point-based elastoplastic simulation. ACM Trans. Graph. 33, 2, 21:1--21:9.

Digital Library

[32]

R. Keiser, B. Adams, D. Gasser, P. Bazzi, P. Dutré, and M. Gross. 2005. A unified Lagrangian approach to solid-fluid animation. In Proceedings of the 2^nd Eurographics /IEEE VGTC Conference on Point-Based Graphics (SPBG'05). 125--133.

Digital Library

[33]

L. Kharevych, P. Mullen, H. Owhadi, and M. Desbrun. 2009. Numerical coarsening of inhomogeneous elastic materials. ACM Trans. Graph. 28, 3, 51:1--51:8.

Digital Library

[34]

B. Kim, Y. Liu, I. Llamas, X. Jiao, and J. Rossignac. 2007. Simulation of bubbles in foam with the volume control method. ACM Trans. Graph. 26, 3, 98:1--98:10.

Digital Library

[35]

D. Kim, O.-Y. Song, and H.-S. Ko. 2010. A practical simulation of dispersed bubble flow. ACM Trans. Graph. 29, 4, 70:1--70:5.

Digital Library

[36]

S. A. Koehler, H. A. Stone, M. P. Brenner, and J. Eggers. 1998. Dynamics of foam drainage. Phys. Rev. E58, 2097--2106.

[37]

H. Kück, C. Vogelgsang, and G. Greiner. 2002. Simulation and rendering of liquid foams. In Proceedings of the Graphics Interface Conference (GI'02). 81--88.

[38]

F. Losasso, T. Shinar, A. Selle, and R. Fedkiw. 2006. Multiple interacting liquids. ACM Trans. Graph. 25, 3, 812--819.

Digital Library

[39]

F. Losasso, J. O. Talton, N. Kwatra, and R. Fedkiw. 2008. Two-way coupled SPH and particle level set fluid simulation. IEEE Trans. Visual. Comput. Graph. 14, 4, 797--804.

Digital Library

[40]

M. Müller, R. Keiser, A. Nealen, M. Pauly, M. Gross, and M. Alexa. 2004. Point based animation of elastic, plastic and melting objects. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'04). 141--151.

Digital Library

[41]

M. Müller, B. Solenthaler, R. Keiser, and M. Gross. 2005. Particle-based fluid-fluid interaction. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'05). 237--244.

Digital Library

[42]

R. Narain, A. Golas, and M. C. Lin. 2010. Free-flowing granular materials with two-way solid coupling. ACM Trans. Graph. 29, 6, 173:1--173:9.

Digital Library

[43]

M. Nesme, P. G. Kry, L. Jeřábková, and F. Faure. 2009. Preserving topology and elasticity for embedded deformable models. ACM Trans. Graph. 28, 3, 52:1--52:9.

Digital Library

[44]

M. B. Nielsen and O. Østerby. 2013. A two-continua approach to Eulerian simulation of water spray. ACM Trans. Graph. 32, 4, 67:1--67:10.

Digital Library

[45]

J. F. O'Brien, A. W. Bargteil, and J. K. Hodgins. 2002. Graphical modeling and animation of ductile fracture. ACM Trans. Graph. 21, 3, 291--294.

Digital Library

[46]

G. Ovarlez, K. Krishan, and S. Cohen-Addad. 2010. Investigation o shear banding in threedimensional foams. Europhys. Lett. 91, 6, 68005:1--68005:6.

[47]

S. Patkar, M. Aanjaneya, D. Karpman, and R. Fedkiw. 2013. A hybrid Lagrangian-Eulerian formulation for bubble generation and dynamics. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'13). 105--114.

Digital Library

[48]

R. I. Saye and J. A. Sethian. 2013. Multiscale modeling of membrane rearrangement, drainage, and rupture in evolving foams. Sci. 340, 6133, 720--724.

[49]

H. Schechter and R. Bridson. 2012. Ghost SPH for animating water. ACM Trans. Graph. 31, 4, 61:1--61:8.

Digital Library

[50]

H. L. Schreyer, D. L. Sulsky, and S.-J. Zhou. 2002. Modeling delamination as a strong discontinuity with the material point method. Comput. Methods Appl. Mechan. Engin. 191, 23--24, 2483--2507.

[51]

J. A. Sethian. 1999. Level Set Methods and Fast Marching Methods. Cambridge University Press.

[52]

J. C. Simo. 1988. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part I. Continuum formulation. Comput. Methods Appl. Mechan. Engin. 66, 2, 199--219.

Digital Library

[53]

J. C. Simo and T. J. R. Hughes. 1998. Computational Inelasticity. Springer.

[54]

B. Solenthaler and R. Pajarola. 2008. Density contrast SPH interfaces. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'08). 211--218.

Digital Library

[55]

B. Solenthaler, J. Schläfli, and R. Pajarola. 2007. A unified particle model for fluid-solid interactions. Comput. Animat. Virtual Worlds 18, 1, 69--82.

Digital Library

[56]

M. Steffen, R. M. Kirby, and M. Berzins. 2008. Analysis and reduction of quadratire errors in the material point method (MPM). Int. J. Numer. Math. Engin. 76, 6, 922--948.

[57]

A. Stomakhin, C. Schroeder, L. Chai, J. Teran, and A. Selle. 2013. A material point method for snow simulation. ACM Trans. Graph. 32, 4, 102:1--102:9.

Digital Library

[58]

A. Stomakhin, C. Schroeder, C. Jiang, L. Chai, J. Teran, and A. Selle. 2014. Augmented MPM for phase-change and varied materials. ACM Trans. Graph. 33, 4, 138:1--138:11.

Digital Library

[59]

D. Sulsky and L. Schreyer. 2004. MPM simulation of dynamic material failure with a decohesion constitutive model. Euro. J. Mechan. A/Solids 23, 3, 423--445.

[60]

D. Sulsky, S.-J. Zhou, and H. L. Schreyer. 1995. Application of a particle-in-cell method to solid mechanics. Comput. Phys. Comm. 87, 1--2, 236--252.

[61]

D. Terzopoulos and K. Fleischer. 1988. Modeling inelastic deformation: Viscoelasticity, plasticity, fracture. Comput. Graph. 22, 4, 269--278.

Digital Library

[62]

N. Thürey, F. Sadlo, S. Schirm, M. Müller-Fischer, and M. Gross. 2007. Real-time simulations of bubbles and foam within a shallow water framework. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'07). 191--198.

Digital Library

[63]

H. Wang, J. O'Brien, and R. Ramamoorthi. 2010. Multi-resolution isotropic strain limiting. ACM Trans. Graph. 29, 6, 156:1--156:10.

Digital Library

[64]

D. Weaire. 2008. The rheology of foam. Current Opin. Colloid Interface Sci. 13, 3, 171--176.

[65]

D. Weaire and S. Hutzler. 2001. The Physics of Foams. Oxford University Press.

[66]

M. Wicke, D. Ritchie, B. M. Klingner, S. Burke, J. R. Shewchuk, and J. F. O'Brien. 2010. Dynamic local remeshing for elastoplastic simulation. ACM Trans. Graph. 29, 4, 49:1--49:11.

Digital Library

[67]

C. Wojtan and G. Turk. 2008. Fast viscoelastic behavior with thin features. ACM Trans. Graph. 27, 3, 47:1--47:8.

Digital Library

[68]

J. Yu and G. Turk. 2013. Reconstructing surfaces of particle-based fluids using anisotropic kernels. ACM Trans. Graph. 32, 1, 5:1--5:12.

Digital Library

[69]

W. Zheng, J.-H. Yong, and J.-C. Paul. 2006. Simulation of bubbles. In Proceedings of the Annual ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA'06). 325--333.

Digital Library

[70]

S. Zhou. 1998. The numerical prediction of material failure based on the material point method. Ph.D. thesis, The University of New Mexico.

[71]

Y. Zhu and R. Bridson. 2005. Animating sand as a fluid. ACM Trans. Graph. 24, 3, 965--972.

Digital Library

Cited By

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Zhou JChen DDeng MDeng YSun YWang SXiong SZhu B(2024)Eulerian-Lagrangian Fluid Simulation on Particle Flow MapsACM Transactions on Graphics10.1145/365818043:4(1-20)Online publication date: 19-Jul-2024
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Index Terms

Continuum Foam: A Material Point Method for Shear-Dependent Flows
1. Computing methodologies
  1. Computer graphics
    1. Animation
  2. Modeling and simulation
    1. Simulation types and techniques
      1. Simulation by animation

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 34, Issue 5

October 2015

188 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/2843519

Editor:
Kavita Bala
Cornell University

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Copyright © 2015 ACM.

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Publication History

Published: 03 November 2015

Accepted: 01 March 2015

Revised: 01 January 2015

Received: 01 September 2014

Published in TOG Volume 34, Issue 5

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Li ZChen DLin CLiu JZhu B(2024)Particle-Laden Fluid on Flow MapsACM Transactions on Graphics10.1145/368791643:6(1-12)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687916
Zhou JChen DDeng MDeng YSun YWang SXiong SZhu B(2024)Eulerian-Lagrangian Fluid Simulation on Particle Flow MapsACM Transactions on Graphics10.1145/365818043:4(1-20)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658180
Li XLi MHan XWang HYang YJiang C(2024)A Dynamic Duo of Finite Elements and Material PointsACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657449(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657449
Tu ZLi CZhao ZLiu LWang CWang CQin H(2024)A Unified MPM Framework Supporting Phase-field Models and Elastic-viscoplastic Phase TransitionACM Transactions on Graphics10.1145/363804743:2(1-19)Online publication date: 3-Jan-2024
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