“A Moving Eulerian-Lagrangian Particle Method for Thin Films and Foam Simulation” by Deng, Wang, Kong, Xiong, Xian, et al. …
Conference:
Type(s):
Title:
- A Moving Eulerian-Lagrangian Particle Method for Thin Films and Foam Simulation
Program Title:
- Demo Labs
Presenter(s):
Description:
We present the Moving Eulerian-Lagrangian Particles (MELP), a novel mesh-free method for simulating incompressible fluid on thin films and foams. Employing a bi-layer particle structure, MELP jointly simulates detailed, vigorous flow and large surface deformation at high stability and efficiency. In addition, we design multi-MELP: a mechanism that facilitates the physically-based interaction between multiple MELP systems, to simulate bubble clusters and foams with non-manifold topological evolution. We showcase the efficacy of our method with a broad range of challenging thin film phenomena, including the Rayleigh-Taylor instability across double-bubbles, foam fragmentation with rim surface tension, recovery of the Plateau borders, Newton black films, as well as cyclones on bubble clusters.
References:
- Keith C Afas. 2018. Extending the Calculus of Moving Surfaces to Higher Orders. arXiv preprint arXiv:1806.02335 (2018).
- Nadir Akinci, Gizem Akinci, and Matthias Teschner. 2013. Versatile surface tension and adhesion for SPH fluids. ACM Transactions on Graphics (TOG) 32, 6 (2013), 1–8.
- Laurent Belcour and Pascal Barla. 2017. A practical extension to microfacet theory for the modeling of varying iridescence. ACM Transactions on Graphics (TOG) 36, 4 (2017), 1–14.
- John WM Bush and Alexander E Hasha. 2004. On the collision of laminar jets: fluid chains and fishbones. Journal of fluid mechanics 511 (2004), 285–310.
- Jingyu Chen, Victoria Kala, Alan Marquez-Razon, Elias Gueidon, David A. B. Hyde, and Joseph Teran. 2021. A Momentum-Conserving Implicit Material Point Method for Surface Tension with Contact Angles and Spatial Gradients. ACM TOG 40, 4 (2021), 1–16.
- Jean-Marc Chomaz. 2001. The dynamics of a viscous soap film with soluble surfactant. Journal of Fluid Mechanics 442 (2001), 387–409.
- Jonathan M Cohen, Sarah Tariq, and Simon Green. 2010. Interactive fluid-particle simulation using translating Eulerian grids. In Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games. 15–22.
- Sylvie Cohen-Addad, Reinhard Höhler, and Olivier Pitois. 2013. Flow in foams and flowing foams. Annual Review of Fluid Mechanics 45 (2013), 241–267.
- Y Couder, JM Chomaz, and M Rabaud. 1989. On the hydrodynamics of soap films. Physica D: Nonlinear Phenomena 37, 1–3 (1989), 384–405.
- Fang Da, Christopher Batty, Chris Wojtan, and Eitan Grinspun. 2015. Double bubbles sans toil and trouble: Discrete circulation-preserving vortex sheets for soap films and foams. ACM Transactions on Graphics (TOG) 34, 4 (2015), 1–9.
- Fang Da, David Hahn, Christopher Batty, Chris Wojtan, and Eitan Grinspun. 2016. Surface-only liquids. ACM Transactions on Graphics (TOG) 35, 4 (2016), 1–12.
- R Elliot English, Linhai Qiu, Yue Yu, and Ronald Fedkiw. 2013. An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids. J. Comput. Phys. 254 (2013), 107–154.
- Robert Finn. 1999. Capillary surface interfaces. Notices of the AMS 46, 7 (1999), 770–781.
- Frederic Gibou, Ronald Fedkiw, and Stanley Osher. 2018. A review of level-set methods and some recent applications. J. Comput. Phys. 353 (2018), 82–109.
- Andrew Glassner. 2000. Soap bubbles. 1. IEEE Computer Graphics and Applications 20, 5 (2000), 76–84.
- Michael Grinfeld and Pavel Grinfeld. 2017. Modeling of Stability of Electrostatic and Magnetostatic Systems. Technical Report. US Army Research Laboratory Aberdeen Proving Ground United States.
- Pavel Grinfeld. 2009. Shape optimization and electron bubbles. Numerical Functional Analysis and Optimization 30, 7–8 (2009), 689–710.
- P Grinfeld. 2010a. Hamiltonian dynamic equations for fluid films. Studies in Applied Mathematics 125, 3 (2010), 223–264.
- Pavel Grinfeld. 2010b. Variable thickness model for fluid films under large displacement. Physical review letters 105, 13 (2010), 137802.
- Pavel Grinfeld. 2010c. Viscous equations of fluid film dynamics. Computers Materials and Continua 19, 3 (2010), 239.
- Pavel Grinfeld. 2013. Introduction to tensor analysis and the calculus of moving surfaces. Springer.
- Pavel Grinfeld et al. 2009. Exact nonlinear equations for fluid films and proper adaptations of conservation theorems from classical hydrodynamics. Journal of Geometry and Symmetry in Physics 16 (2009), 1–21.
- Pavel Grinfeld et al. 2012. A better calculus of moving surfaces. Journal of Geometry and Symmetry in Physics 26 (2012), 61–69.
- David J Hill and Ronald D Henderson. 2016. Efficient fluid simulation on the surface of a sphere. ACM Transactions on Graphics (TOG) 35, 2 (2016), 1–9.
- Cyrill W Hirt, Anthony A Amsden, and JL Cook. 1974. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Journal of computational physics 14, 3 (1974), 227–253.
- Weizhen Huang, Julian Iseringhausen, Tom Kneiphof, Ziyin Qu, Chenfanfu Jiang, and Matthias B. Hullin. 2020. Chemomechanical Simulation of Soap Film Flow on Spherical Bubbles. ACM Transactions on Graphics 39, 4 (2020). }
- David A. B. Hyde, Steven W. Gagniere, Alan Marquez-Razon, and Joseph Teran. 2020. An Implicit Updated Lagrangian Formulation for Liquids with Large Surface Energy. ACM TOG 39, 4 (2020).
- Markus Ihmsen, Jens Cornelis, Barbara Solenthaler, Christopher Horvath, and Matthias Teschner. 2013. Implicit incompressible SPH. IEEE transactions on visualization and computer graphics 20, 3 (2013), 426–435.
- Sadashige Ishida, Peter Synak, Fumiya Narita, Toshiya Hachisuka, and Chris Wojtan. 2020. A Model for Soap Film Dynamics with Evolving Thickness. ACM Transactions on Graphics 39, 4, Article 31 (2020), 31:1–31:11 pages. }
- Sadashige Ishida, Masafumi Yamamoto, Ryoichi Ando, and Toshiya Hachisuka. 2017. A hyperbolic geometric flow for evolving films and foams. ACM Transactions on Graphics (TOG) 36, 6 (2017), 1–11.
- Kei Iwasaki, Keichi Matsuzawa, and Tomoyuki Nishita. 2004. Real-time rendering of soap bubbles taking into account light interference. In Proceedings Computer Graphics International, 2004. IEEE, 344–348.
- Dariusz Jaszkowski and Janusz Rzeszut. 2003. Interference colours of soap bubbles. The Visual Computer 19, 4 (2003), 252–270.
- Chenfanfu Jiang, Craig Schroeder, Andrew Selle, Joseph Teran, and Alexey Stomakhin. 2015. The affine particle-in-cell method. ACM Transactions on Graphics (TOG) 34, 4 (2015), 1–10.
- M. Kness. 2008. ColorPy-A Python package for handling physical descriptions of color and light spectra. (2008).
- Stephan A Koehler, Sascha Hilgenfeldt, and HA Stone. 2004. Foam drainage on the microscale: I. Modeling flow through single Plateau borders. Journal of colloid and interface science 276, 2 (2004), 420–438.
- Petros Koumoutsakos. 2005. Multiscale flow simulations using particles. Annu. Rev. Fluid Mech. 37 (2005), 457–487.
- Andrew M Kraynik, Douglas A Reinelt, and Frank van Swol. 2004. Structure of random foam. Physical Review Letters 93, 20 (2004), 208301.
- David IW Levin, Joshua Litven, Garrett L Jones, Shinjiro Sueda, and Dinesh K Pai. 2011. Eulerian solid simulation with contact. ACM Transactions on Graphics (TOG) 30, 4 (2011), 1–10.
- S.J. Lind, R. Xu, P.K. Stansby, and B.D. Rogers. 2012. Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves. J. Comput. Phys. 231, 4 (2012), 1499 — 1523.
- Dieter Morgenroth, Stefan Reinhardt, Daniel Weiskopf, and Bernhard Eberhardt. 2020. Efficient 2D simulation on moving 3D surfaces. In Computer Graphics Forum, Vol. 39. Wiley Online Library, 27–38.
- Daniel Ram, Theodore Gast, Chenfanfu Jiang, Craig Schroeder, Alexey Stomakhin, Joseph Teran, and Pirouz Kavehpour. 2015. A material point method for viscoelastic fluids, foams and sponges. In Proceedings of the 14th ACM SIGGRAPH/Eurographics Symposium on Computer Animation. 157–163.
- Milton J Rosen and Joy T Kunjappu. 2012. Surfactants and interfacial phenomena. John Wiley & Sons.
- Amaresh Sahu, Yannick AD Omar, Roger A Sauer, and Kranthi K Mandadapu. 2020. Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces: I. General theory and application to fluid interfaces. J. Comput. Phys. 407 (2020), 109253.
- Robert I Saye and James A Sethian. 2013. Multiscale modeling of membrane rearrangement, drainage, and rupture in evolving foams. Science 340, 6133 (2013), 720–724.
- Robert I Saye and James A Sethian. 2016. Multiscale modelling of evolving foams. J. Comput. Phys. 315 (2016), 273–301.
- Hagit Schechter and Robert Bridson. 2012. Ghost SPH for animating water. ACM Transactions on Graphics (TOG) 31, 4 (2012), 1–8.
- Nicholas Sharp and Keenan Crane. 2020. A Laplacian for Nonmanifold Triangle Meshes. Computer Graphics Forum (SGP) 39, 5 (2020).
- Brian E Smits and Gary W Meyer. 1992. Newton’s colors: simulating interference phenomena in realistic image synthesis. In Photorealism in Computer Graphics. Springer, 185–194.
- Barbara Solenthaler. 2011. SPH Based Shallow Water Simulation. The Eurographics Association.
- Alexey Stomakhin, Craig Schroeder, Lawrence Chai, Joseph Teran, and Andrew Selle. 2013. A material point method for snow simulation. ACM Transactions on Graphics (TOG) 32, 4 (2013), 1–10.
- David V Svintradze. 2019. Shape dynamics of bouncing droplets. Scientific reports 9, 1 (2019), 1–10.
- Gilberto L Thomas, Julio M Belmonte, François Graner, James A Glazier, and Rita MC de Almeida. 2015. 3D simulations of wet foam coarsening evidence a self similar growth regime. Colloids and Surfaces A: Physicochemical and Engineering Aspects 473 (2015), 109–114.
- Hui Wang, Yongxu Jin, Anqi Luo, Xubo Yang, and Bo Zhu. 2020. Codimensional surface tension flow using moving-least-squares particles. ACM Transactions on Graphics (TOG) 39, 4 (2020), 42–1.
- Mengdi Wang, Yitong Deng, Xiangxin Kong, Aditya H. Prasad, Shiying Xiong, and Bo Zhu. 2021. Thin-Film Smoothed Particle Hydrodynamics Fluid. ACM Trans. Graph. 40, 4, Article 110 (jul 2021), 16 pages.
- Stephanie Wang and Albert Chern. 2021. Computing minimal surfaces with differential forms. ACM Transactions on Graphics (TOG) 40, 4 (2021), 1–14.
- D Weaire and R Phelan. 1996. The physics of foam. Journal of Physics: Condensed Matter 8, 47 (1996), 9519.
- J. Z. Wu, H. Y. Ma, and M. D. Zhou. 2006. Vorticity and Vortex Dynamics. Springer.
- Jian Jun Xu, Zhilin Li, John Lowengrub, and Hongkai Zhao. 2006. A level-set method for interfacial flows with surfactant. J. Comput. Phys. 212, 2 (2006), 590–616.
- Bowen Yang, William Corse, Jiecong Lu, Joshuah Wolper, and Chen-Fanfu Jiang. 2019. Real-Time Fluid Simulation on the Surface of a Sphere. Proceedings of the ACM on Computer Graphics and Interactive Techniques 2, 1 (2019), 1–17.
- Jiaping You and Yue Yang. 2020. Modelling of the turbulent burning velocity based on Lagrangian statistics of propagating surfaces. Journal of Fluid Mechanics 887 (2020).
- Yonghao Yue, Breannan Smith, Christopher Batty, Changxi Zheng, and Eitan Grinspun. 2015. Continuum foam: A material point method for shear-dependent flows. ACM Transactions on Graphics (TOG) 34, 5 (2015), 1–20.
- Y. L. Zhang, K. S. Yeo, B. C. Khoo, and C. Wang. 2001. 3D Jet Impact of Toroidal Bubbles. J. Comput. Phys. 166 (2001), 336–360.
- Wen Zheng, Jun-Hai Yong, and Jean-Claude Paul. 2009. Simulation of bubbles. Graphical Models 71, 6 (2009), 229–239.
- Bo Zhu, Ed Quigley, Matthew Cong, Justin Solomon, and Ronald Fedkiw. 2014. Codimensional surface tension flow on simplicial complexes. ACM Transactions on Graphics (TOG) 33, 4 (2014), 1–11.
- Y. Zhu and R. Bridson. 2005. Animating sand as a fluid. ACM Trans. Graph. (SIGGRAPH Proc.) 24, 3 (2005), 965–972.