Abstract
Real-life multiphase flows exhibit a number of complex and visually appealing behaviors, involving bubbling, wetting, splashing, and glugging. However, most state-of-the-art simulation techniques in graphics can only demonstrate a limited range of multiphase flow phenomena, due to their inability to handle the real water-air density ratio and to the large amount of numerical viscosity introduced in the flow simulation and its coupling with the interface. Recently, kinetic-based methods have achieved success in simulating large density ratios and high Reynolds numbers efficiently; but their memory overhead, limited stability, and numerically-intensive treatment of coupling with immersed solids remain enduring obstacles to their adoption in movie productions. In this paper, we propose a new kinetic solver to couple the incompressible Navier-Stokes equations with a conservative phase-field equation which remedies these major practical hurdles. The resulting two-phase immiscible fluid solver is shown to be efficient due to its massively-parallel nature and GPU implementation, as well as very versatile and reliable because of its enhanced stability to large density ratios, high Reynolds numbers, and complex solid boundaries. We highlight the advantages of our solver through various challenging simulation results that capture intricate and turbulent air-water interaction, including comparisons to previous work and real footage.
Supplemental Material
- Mridul Aanjaneya, Ming Gao, Haixiang Liu, Christopher Batty, and Eftychios Sifakis. 2017. Power Diagrams and Sparse Paged Grids for High Resolution Adaptive Liquids. ACM Trans. Graph. 36, 4 (2017), 140:1--12.Google Scholar
Digital Library
- Ryoichi Ando, Nils Thuerey, and Chris Wojtan. 2015. A stream function solver for liquid simulations. ACM Trans. Graph. 34, 4 (2015), 53:1--9.Google Scholar
Digital Library
- Vinicius C. Azevedo, Christopher Batty, and Manuel M. Oliveira. 2016. Preserving geometry and topology for fluid flows with thin obstacles and narrow gaps. ACM Trans. Graph. 35, 4, Article 97 (2016), 97:1--12 pages.Google Scholar
Digital Library
- Yan Ba, Haihu Liu, Qing Li, Qinjun Kang, and Jinju Sun. 2016. Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio. Physical Review E 94, 2 (2016), 023310:1--15.Google Scholar
Cross Ref
- Vittorio E Badalassi, Hector D Ceniceros, and Sanjoy Banerjee. 2003. Computation of multiphase systems with phase field models. J. Comput. Phys. 190, 2 (2003), 371--397.Google Scholar
Digital Library
- Stefan Band, Christoph Gissler, Markus Ihmsen, Jens Cornelis, Andreas Peer, and Matthias Teschner. 2018. Pressure Boundaries for Implicit Incompressible SPH. ACM Trans. Graph. 37, 2 (2018), 14:1--11.Google Scholar
Digital Library
- Christopher Batty and Robert Bridson. 2008. Accurate viscous free surfaces for buckling, coiling, and rotating liquids. In Symposium on Computer Animation. 219--228.Google Scholar
Digital Library
- Jan Bender and Dan Koschier. 2016. Divergence-free SPH for incompressible and viscous fluids. IEEE Trans. Vis. & Comp. Graph. 23, 3 (2016), 1193--1206.Google Scholar
Digital Library
- Prabhu Lal Bhatnagar, Eugene P. Gross, and Max Krook. 1954. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems. Phys. Rev. 94, 3 (1954), 511--525.Google Scholar
- Morten Bojsen-Hansen and Chris Wojtan. 2013. Liquid surface tracking with error compensation. ACM Trans. Graph. 32, 4 (2013), 79:1--79:10.Google Scholar
Digital Library
- Morten Bojsen-Hansen and Chris Wojtan. 2016. Generalized Non-reflecting Boundaries for Fluid Re-simulation. ACM Trans. Graph. 35, 4 (July 2016), 96:1--96:7.Google Scholar
Digital Library
- Landon Boyd and Robert Bridson. 2012. MultiFLIP for energetic two-phase fluid simulation. ACM Trans. Graph. 31, 2, Article 16 (2012).Google Scholar
Digital Library
- Oleksiy Busaryev, Tamal K. Dey, Huamin Wang, and Zhong Ren. 2012. Animating bubble interactions in a liquid foam. ACM Trans. Graph. 31, 4 (2012), 1--8.Google Scholar
Digital Library
- Chaos. 2022. V-Ray renderer. (2022). https://www.chaos.com/Google Scholar
- Yixin Chen, Wei Li, Rui Fan, and Xiaopei Liu. 2021. GPU Optimization for High-Quality Kinetic Fluid Simulation. IEEE Trans. Vis. & Comp. Graph. Preprint (2021).Google Scholar
Cross Ref
- Yi-Lu Chen, Jonathan Meier, Barbara Solenthaler, and Vinicius C Azevedo. 2020. An extended cut-cell method for sub-grid liquids tracking with surface tension. ACM Trans. Graph. 39, 6 (2020), 1--13.Google Scholar
Digital Library
- Nuttapong Chentanez, Matthias Müller, Miles Macklin, and Tae-Yong Kim. 2015. Fast grid-free surface tracking. ACM Trans. Graph. 34, 4 (2015), 48:1--48:11.Google Scholar
Digital Library
- Sergio Chibbaro, Giacomo Falcucci, Giancarlo Chiatti, Hudong Chen, Xiaowen Shan, and Sauro Succi. 2008. Lattice Boltzmann models for nonideal fluids with arrested phase-separation. Physical Review E 77, 3 (2008), 036705.Google Scholar
Cross Ref
- Jonathan Chin. 2002. Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen microscopic interaction model. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 360, 1792 (2002), 547--558.Google Scholar
- Junghyun Cho and Hyeong-Seok Ko. 2013. Geometry-Aware Volume-of-Fluid Method. In Computer Graphics Forum, Vol. 32. 379--388.Google Scholar
Cross Ref
- Jens Cornels, Markus Ihmsen, Andreas Peer, and Matthias Teschner. 2014. IISPH-FLIP for incompressible fluids. Computer Graphics Forum 33, 2 (2014), 255--262.Google Scholar
Digital Library
- Fang Da, David Hahn, Christopher Batty, Chris Wojtan, and Eitan Grinspun. 2016. Surface-only liquids. ACM Trans. Graph. 35, 4 (2016), 78:1--12.Google Scholar
Digital Library
- Fernando de Goes, Corentin Wallez, Jin Huang, Dmitry Pavlov, and Mathieu Desbrun. 2015. Power particles: an incompressible fluid solver based on power diagrams. ACM Trans. Graph. 34, 4 (2015), 50:1--11.Google Scholar
Digital Library
- Alessandro De Rosis and Christophe Coreixas. 2020. Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments. Physics of Fluids 32, 11 (2020), 117101.Google Scholar
Cross Ref
- Alessandro De Rosis and Enatri Enan. 2021. A three-dimensional phase-field lattice Boltzmann method for incompressible two-components flows. Physics of Fluids 33, 4 (2021), 043315.Google Scholar
Cross Ref
- Alessandro De Rosis, Rongzong Huang, and Christophe Coreixas. 2019. Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomena. Physics of Fluids 31, 11 (2019), 117102.Google Scholar
Cross Ref
- Mathieu Desbrun and Marie-Paule Cani-Gascuel. 1998. Active Implicit Surface for Animation. In Graphics Interface. 143--150.Google Scholar
- Mathieu Desbrun and Marie-Paule Gascuel. 1996. Smoothed Particles: A new paradigm for animating highly deformable bodies. In Comp. Anim. and Sim. 61--76.Google Scholar
- Douglas Enright, Frank Losasso, and Ron Fedkiw. 2005. A fast and accurate semi-Lagrangian particle level set method. Comput. & Structures 83, 6--7 (2005), 479--490.Google Scholar
Digital Library
- Douglas Enright, Steve Marschner, and Ron Fedkiw. 2002. Animation and rendering of complex water surfaces. ACM Trans. Graph. 21, 3 (2002), 736--744.Google Scholar
Digital Library
- Abbas Fakhari and Diogo Bolster. 2017. Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios. J. Comput. Phys. 334 (2017), 620--638.Google Scholar
Digital Library
- Abbas Fakhari, Diogo Bolster, and Li-Shi Luo. 2017a. A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades. J. Comput. Phys. 341 (2017), 22--43.Google Scholar
Digital Library
- Abbas Fakhari, Martin Geier, and Diogo Bolster. 2019. A simple phase-field model for interface tracking in three dimensions. Computers & Mathematics with Applications 78, 4 (2019), 1154--1165.Google Scholar
Digital Library
- Abbas Fakhari, Travis Mitchell, Christopher Leonardi, and Diogo Bolster. 2017b. Improved locality of the phase-field lattice-Boltzmann model for immiscible fluids at high density ratios. Physical Review E 96, 5 (2017), 053301.Google Scholar
Cross Ref
- Giacomo Falcucci, Gino Bella, Giancarlo Chiatti, Sergio Chibbaro, Mauro Sbragaglia, Sauro Succi, et al. 2007. Lattice Boltzmann models with mid-range interactions. Communications in Computational Physics 2, 6 (2007), 1071--1084.Google Scholar
- Giacomo Falcucci, Stefano Ubertini, Chiara Biscarini, Silvia Di Francesco, Daniele Chiappini, Silvia Palpacelli, Alessandro De Maio, and Sauro Succi. 2011. Lattice Boltzmann methods for multiphase flow simulations across scales. Communications in Computational Physics 9, 2 (2011), 269--296.Google Scholar
Cross Ref
- Olga Filippova and Dieter Hänel. 1998. Grid refinement for lattice-BGK models. Journal of Computational physics 147, 1 (1998), 219--228.Google Scholar
Digital Library
- Nick Foster and Ronald Fedkiw. 2001. Practical animation of liquids. In Conference on Computer Graphics and Interactive Techniques (ACM SIGGRAPH). 23--30.Google Scholar
Cross Ref
- Nick Foster and Demetri Metaxas. 1996. Realistic animation of liquids. Graphical Models and Image Processing 58 (1996), 471--493.Google Scholar
Digital Library
- Chuyuan Fu, Qi Guo, Theodore Gast, Chenfanfu Jiang, and Joseph Teran. 2017. A polynomial Particle-In-Cell method. ACM Trans. Graph. 36, 6 (2017), 222.Google Scholar
Digital Library
- Ming Gao, Andre Pradhana, Xuchen Han, Qi Guo, Grant Kot, Eftychios Sifakis, and Chenfanfu Jiang. 2018. Animating fluid sediment mixture in particle-laden flows. ACM Trans. Graph. 37, 4 (2018), 149:1--11.Google Scholar
Digital Library
- Martin Geier, Abbas Fakhari, and Taehun Lee. 2015. Conservative phase-field lattice Boltzmann model for interface tracking equation. Physical Review E 91, 6 (2015), 063309:1--11.Google Scholar
Cross Ref
- Sebastian Geller, Sonja Uphoff, and Manfred Krafczyk. 2013. Turbulent jet computations based on MRT and Cascaded Lattice Boltzmann models. Computers & Mathematics with Applications 65, 12 (2013), 1956--1966.Google Scholar
Digital Library
- Ryan Goldade, Mridul Aanjaneya, and Christopher Batty. 2020. Constraint bubbles and affine regions: reduced fluid models for efficient immersed bubbles and flexible spatial coarsening. ACM Trans. Graph. 39, 4 (2020), 43--1.Google Scholar
Digital Library
- Daryl Grunau, Shiyi Chen, and Kenneth Eggert. 1993. A lattice Boltzmann model for multiphase fluid flows. Physics of Fluids A: Fluid Dynamics 5, 10 (1993), 2557--2562.Google Scholar
Cross Ref
- G Gruszczyński, Travis Mitchell, Christopher Leonardi, and Tracie Barber. 2020. A cascaded phase-field lattice Boltzmann model for the simulation of incompressible, immiscible fluids with high density contrast. Computers & Mathematics with Applications 79, 4 (2020), 1049--1071.Google Scholar
Digital Library
- Andrew K. Gunstensen, Daniel H. Rothman, Stéphane Zaleski, and Gianluigi Zanetti. 1991. Lattice Boltzmann model of immiscible fluids. Physical Review A 43, 8 (1991), 4320--4327.Google Scholar
Cross Ref
- Yulong Guo, Xiaopei Liu, and Xuemao Xu. 2017. A unified detail-preserving liquid simulation by two-phase lattice Boltzmann modeling. IEEE Trans. Vis. & Comp.Graph. 23, 5 (2017), 1479--1491.Google Scholar
Digital Library
- Xiaoyi He, Shiyi Chen, and Gary D Doolen. 1998. A novel thermal model for the lattice Boltzmann method in incompressible limit. J. Comput. Phys. 146, 1 (1998), 282--300.Google Scholar
Digital Library
- Xiaoyi He, Raoyang Zhang, Shiyi Chen, and Gary D Doolen. 1999. On the three-dimensional Rayleigh-Taylor instability. Physics of Fluids 11, 5 (1999), 1143--1152.Google Scholar
Cross Ref
- Nambin Heo and Hyeong-Seok Ko. 2010. Detail-preserving fully-Eulerian interface tracking framework. ACM Trans. Graph. 29, 6 (2010), 176:1--176:8.Google Scholar
Digital Library
- David J. Holdych, Dimitrios Rovas, John G. Georgiadis, and Richard O. Buckius. 1998. An improved hydrodynamics formulation for multiphase flow lattice-Boltzmann models. International Journal of Modern Physics C 9, 08 (1998), 1393--1404.Google Scholar
Cross Ref
- Jeong-Mo Hong and Chang-Hun Kim. 2005. Discontinuous fluids. ACM Trans. Graph. 24, 3 (2005), 915--920.Google Scholar
Digital Library
- Yang Hu, Decai Li, and Qiang He. 2020. Generalized conservative phase field model and its lattice Boltzmann scheme for multicomponent multiphase flows. International Journal of Multiphase Flow 132 (2020), 103432.Google Scholar
Cross Ref
- Takaji Inamuro, Nobuharu Konishi, and Fumimaru Ogino. 2000. A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach. Computer Physics Communications 129, 1--3 (2000), 32--45.Google Scholar
Cross Ref
- David Jacqmin. 1999. Calculation of Two-Phase Navier-Stokes Flows Using Phase-Field Modeling. J. Comput. Phys. 155, 1 (1999), 96--127.Google Scholar
Digital Library
- Alexandros N. Kalarakis, Vasilis N. Burganos, and Alkiviades C. Payatakes. 2002. Galilean-invariant lattice-Boltzmann simulation of liquid-vapor interface dynamics. Physical Review E 65, 5 (2002), 056702.Google Scholar
Cross Ref
- Myungjoo Kang, Ronald P Fedkiw, and Xu-Dong Liu. 2000. A boundary condition capturing method for multiphase incompressible flow. Journal of Scientific Computing 15, 3 (2000), 323--360.Google Scholar
Digital Library
- Qinjun Kang, Dongxiao Zhang, and Shiyi Chen. 2004. Immiscible displacement in a channel: simulations of fingering in two dimensions. Advances in Water Resources 27, 1 (2004), 13--22.Google Scholar
Cross Ref
- Po-Hao Kao and Ruey-Jen Yang. 2008. An investigation into curved and moving boundary treatments in the lattice Boltzmann method. J. Comput. Phys. 227, 11 (2008), 5671--5690.Google Scholar
Digital Library
- Vivien M Kendon, Michael E Cates, Ignacio Pagonabarraga, J-C Desplat, and Peter Bladon. 2001. Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study. Journal of Fluid Mechanics 440 (2001), 147--203.Google Scholar
Cross Ref
- Byungmoon Kim. 2010. Multi-phase fluid simulations using regional level sets. ACM Trans. Graph. 29, 6 (2010), 175:1--8.Google Scholar
Digital Library
- Byungmoon Kim, Yingjie Liu, Ignacio Llamas, Xiangmin Jiao, and Jarek Rossignac. 2007. Simulation of bubbles in foam with the volume control method. ACM Trans. Graph. 26, 3 (2007), 98.Google Scholar
Digital Library
- Doyub Kim, Oh-Young Song, and Hyeong-Seok Ko. 2010. A Practical Simulation of Dispersed Bubble Flow. ACM Trans. Graph. 29, 4 (2010), 70:1--5.Google Scholar
Digital Library
- Theodore Kim, Jerry Tessendorf, and Jils Thurey. 2013. Closest point turbulence for liquid surfaces. ACM Trans. Graph. 32, 2 (2013), 15:1--15:13.Google Scholar
Digital Library
- Dan Koschier and Jan Bender. 2017. Density Maps for Improved SPH Boundary Handling. In Symposium on Computer Animation. Article 1.Google Scholar
- E. Dinesh Kumar, Sannasi Annamalaisamy Sannasiraj, and Vallam Sundar. 2019. Phase field lattice Boltzmann model for air-water two phase flows. Physics of Fluids 31, 7 (2019), 072103.Google Scholar
Cross Ref
- Anthony J. C. Ladd. 1994. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. Journal of Fluid Mechanics 271 (1994), 285--309.Google Scholar
Cross Ref
- Timothy R. Langlois, Changxi Zheng, and Doug L. James. 2016. Toward Animating Water with Complex Acoustic Bubbles. ACM Trans. Graph. 35, 4 (2016), 95:1--13.Google Scholar
Digital Library
- Jonas Latt. 2007a. Hydrodynamic limit of lattice Boltzmann equations. Ph.D. Dissertation. University of Geneva.Google Scholar
- Jonas Latt. 2007b. Technical report: How to implement your DdQq dynamics with only q variables per node (instead of 2q). Tufts University (2007), 1--8.Google Scholar
- Sébastien Leclaire, Marcelo Reggio, and Jean-Yves Trépanier. 2011. Isotropic color gradient for simulating very high-density ratios with a two-phase flow lattice Boltzmann model. Computers & Fluids 48, 1 (2011), 98--112.Google Scholar
Cross Ref
- Hyun Geun Lee and Junseok Kim. 2013. Numerical simulation of the three-dimensional Rayleigh-Taylor instability. Computers & Mathematics with Applications 66, 8 (2013), 1466--1474.Google Scholar
Digital Library
- Taehun Lee and Ching-Long Lin. 2005. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio. J. Comput. Phys. 206, 1 (2005), 16--47.Google Scholar
Digital Library
- Qing Li, Kaihong Luo, YJ Gao, and YL He. 2012. Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows. Physical Review E 85, 2 (2012), 026704.Google Scholar
Cross Ref
- Wei Li, Kai Bai, and Xiaopei Liu. 2019. Continuous-Scale Kinetic Fluid Simulation. IEEE Transactions on Visualization and Computer Graphics 25, 9 (2019), 2694--2709. Google Scholar
Cross Ref
- Wei Li, Yixin Chen, Mathieu Desbrun, Changxi Zheng, and Xiaopei Liu. 2020. Fast and Scalable Turbulent Flow Simulation with Two-Way Coupling. ACM Trans. Graph. 39, 4 (2020).Google Scholar
Digital Library
- Wei Li, Daoming Liu, Mathieu Desbrun, Jin Huang, and Xiaopei Liu. 2021. Kinetic-Based Multiphase Flow Simulation. IEEE Trans. Vis. & Comp. Graph. 27, 7 (2021), 3318--3334.Google Scholar
Digital Library
- Hong Liang, Jiangrong Xu, Jiangxing Chen, Huili Wang, Zhenhua Chai, and Baochang Shi. 2018. Phase-field-based lattice Boltzmann modeling of large-density-ratio two-phase flows. Physical Review E 97, 3 (2018), 033309.Google Scholar
Cross Ref
- Frank Losasso, Frederic Gibou, and Ron Fedkiw. 2004. Simulating water and smoke with an octree data structure. In ACM Trans. Graph. 457--462.Google Scholar
Digital Library
- Frank Losasso, Tamar Shinar, Andrew Selle, and Ronald Fedkiw. 2006. Multiple interacting liquids. ACM Trans. Graph. 25, 3 (2006), 812--819.Google Scholar
Digital Library
- Daniel Lycett-Brown, Kai H. Luo, Ronghou Liu, and Pengmei Lv. 2014. Binary droplet collision simulations by a multiphase cascaded lattice Boltzmann method. Physics of Fluids 26 (2014), 023303:1--26.Google Scholar
- Chaoyang Lyu, Wei Li, Mathieu Desbrun, and Xiaopei Liu. 2021. Fast and versatile fluid-solid coupling for turbulent flow simulation. ACM Trans. Graph. 40, 6 (2021), 1--18.Google Scholar
Digital Library
- Michael E McCracken and John Abraham. 2005. Multiple-relaxation-time lattice-Boltzmann model for multiphase flow. Physical Review E 71, 3 (2005), 036701.Google Scholar
Cross Ref
- Viorel Mihalef, Dimitris Metaxas, and Mark Sussman. 2004. Animation and Control of Breaking Waves. In Symposium on Computer Animation. 315--324.Google Scholar
- Viorel Mihalef, Betul Unlusu, Dimitris Metaxas, Mark Sussman, and M Yousuff Hussaini. 2006. Physics based boiling simulation. In Symposium on Computer Animation. 317--324.Google Scholar
- Marek Krzysztof Misztal, Kenny Erleben, Adam Bargteil, Jens Fursund, Brian Bunch Christensen, Jakob Andreas Bærentzen, and Robert Bridson. 2013. Multiphase flow of immiscible fluids on unstructured moving meshes. IEEE Trans. Vis. & Comp. Graph. 20, 1 (2013), 4--16.Google Scholar
Digital Library
- Shiladitya Mukherjee and John Abraham. 2007a. Lattice Boltzmann simulations of two-phase flow with high density ratio in axially symmetric geometry. Physical Review E 75, 2 (2007), 026701.Google Scholar
Cross Ref
- Shiladitya Mukherjee and John Abraham. 2007b. A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model. Computers & Fluids 36, 6 (2007), 1149--1158.Google Scholar
Cross Ref
- Matthias Müller, David Charypar, and Markus Gross. 2003. Particle-based fluid simulation for interactive applications. In Symposium on Computer Animation. 154--159.Google Scholar
- Seyed Nabavizadeh, Mohsen Eshraghi, and Sergio Felicelli. 2018. A Comparative Study of Multiphase Lattice Boltzmann Methods for Bubble-Dendrite Interaction during Solidification of Alloys. Appl. Sci. 9, 1 (2018), 57:1--24.Google Scholar
- Xiao-Dong Niu, You Li, Yi-Ren Ma, Mu-Feng Chen, Xiang Li, and Qiao-Zhong Li. 2018. A mass-conserving multiphase lattice Boltzmann model for simulation of multiphase flows. Physics of Fluids 30, 1 (2018), 013302:1--13.Google Scholar
- Enzo Orlandini, Michael R Swift, and JM Yeomans. 1995. A lattice Boltzmann model of binary-fluid mixtures. Euro-Physics Letters 32, 6 (1995), 463.Google Scholar
Cross Ref
- Saket Patkar, Mridul Aanjaneya, Dmitriy Karpman, and Ronald Fedkiw. 2013. A hybrid Lagrangian-Eulerian formulation for bubble generation and dynamics. In Symp. Comp. Anim. 105--114.Google Scholar
Digital Library
- Saket Patkar and Parag Chaudhuri. 2013. Wetting of Porous Solids. IEEE Trans. Vis. & Comp. Graph. 19, 9 (2013), 1592--1604.Google Scholar
Digital Library
- Bo Ren, Chenfeng Li, Xiao Yan, Ming C Lin, Javier Bonet, and Shi-Min Hu. 2014. Multiple-fluid SPH simulation using a mixture model. ACM Trans. Graph. 33, 5 (2014), 171:1--11.Google Scholar
Digital Library
- Shimpei Saito, Alessandro De Rosis, Alessio Festuccia, Akiko Kaneko, Yutaka Abe, and Kazuya Koyama. 2018. Color-gradient lattice Boltzmann model with nonorthogonal central moments: Hydrodynamic melt-jet breakup simulations. Physical Review E 98, 1 (2018), 013305.Google Scholar
Cross Ref
- Robert Saye. 2016. Interfacial gauge methods for incompressible fluid dynamics. Science Advances 2, 6 (2016), e1501869.Google Scholar
Cross Ref
- Robert Saye. 2017. Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow: Part I. J. Comput. Phys. 344 (2017), 647--682.Google Scholar
Cross Ref
- Mauro Sbragaglia, Roberto Benzi, Luca Biferale, Sauro Succi, Kazu Sugiyama, and Federico Toschi. 2007. Generalized lattice Boltzmann method with multirange pseudopotential. Physical Review E 75, 2 (2007), 026702.Google Scholar
Cross Ref
- Hagit Schechter and Robert Bridson. 2012. Ghost SPH for Animating Water. ACM Trans. Graph. 31, 4 (2012).Google Scholar
Digital Library
- Xiaowen Shan and Hudong Chen. 1993. Lattice Boltzmann model for simulating flows with multiple phases and components. Physical review E 47, 3 (1993), 1815.Google Scholar
- Xiaowen Shan and Hudong Chen. 1994. Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Physical Review E 49, 4 (1994), 2941.Google Scholar
Cross Ref
- J.Y. Shao, C. Shu, H.B. Huang, and Y.T. Chew. 2014. Free-energy-based lattice Boltzmann model for the simulation of multiphase flows with density contrast. Physical Review E 89, 3 (2014), 033309:1--14.Google Scholar
Cross Ref
- Barbara Solenthaler and Renato Pajarola. 2008. Density Contrast SPH Interfaces. In Symposium on Computer Animation. 211--218.Google Scholar
- Barbara Solenthaler and Renato Pajarola. 2009. Predictive-Corrective incompressible SPH. ACM Trans. Graph. 28, 3 (2009), 40:1--6.Google Scholar
Digital Library
- Oh-Young Song, Hyuncheol Shin, and Hyeong-Seok Ko. 2005. Stable but nondissipative water. ACM Trans. Graph. 24, 1 (2005), 81--97.Google Scholar
Digital Library
- Haozhe Su, Tao Xue, Chengguizi Han, Chenfanfu Jiang, and Mridul Aanjaneya. 2021. A unified second-order accurate in time MPM formulation for simulating viscoelastic liquids with phase change. ACM Trans. Graph. 40, 4 (2021), 1--18.Google Scholar
Digital Library
- Kazuhiko Suga, Yoshiaki Kuwata, K Takashima, and R Chikasue. 2015. A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows. Computers & Mathematics with Applications 69, 6 (2015), 518--529.Google Scholar
Digital Library
- Michael R Swift, E Orlandini, WR Osborn, and JM Yeomans. 1996. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Physical Review E 54, 5 (1996), 5041.Google Scholar
Cross Ref
- Michael R Swift, WR Osborn, and JM Yeomans. 1995. Lattice Boltzmann simulation of nonideal fluids. Physical Review Letters 75, 5 (1995), 830--833.Google Scholar
Cross Ref
- Nils Thuerey, Filip Sadlo, Simon Schirm, Matthias Müller-Fischer, and Markus Gross. 2007. Real-time simulations of bubbles and foam within a shallow water framework. In Symposium on Computer Animation. 191--198.Google Scholar
- H.L. Wang, Z.H. Chai, B.C. Shi, and H. Liang. 2016. Comparative study of the lattice Boltzmann models for Allen-Cahn and Cahn-Hilliard equations. Physical Review E 94, 3 (2016), 033304.Google Scholar
Cross Ref
- Chris Wojtan, Matthias Müller-Fischer, and Tyson Brochu. 2011. Liquid simulation with mesh-based surface tracking. ACM SIGGRAPH Course Notes (2011).Google Scholar
- Xiao Yan, Yun-Tao Jiang, Chenfeng Li, Ralph R. Martin, and Shi-Min Hu. 2016. Multiphase SPH simulation for interactive fluids and solids. ACM Trans. Graph. 35, 4, Article 79 (2016).Google Scholar
Digital Library
- Shuqi Yang, Shiying Xiong, Yaorui Zhang, Fan Feng, Jinyuan Liu, and Bo Zhu. 2021. Clebsch gauge fluid. ACM Trans. Graph. 40, 4 (2021), 1--11.Google Scholar
Digital Library
- Tao Yang, Jian Chang, Ming C. Lin, Ralph R. Martin, Jian J. Zhang, and Shi min Hu. 2017. A unified particle system framework for multi-phase, multi-material visual simulations. ACM Trans. Graph. 36, 6 (2017), 224:1--13.Google Scholar
Digital Library
- Xuewen Yin and Junfeng Zhang. 2012. An improved bounce-back scheme for complex boundary conditions in lattice Boltzmann method. J. Comput. Phys. 231, 11 (2012), 4295--4303.Google Scholar
Digital Library
- Yonghao Yue, Breannan Smith, Christopher Batty, Changxi Zheng, and Eitan Grinspun. 2015. Continuum foam: A material point method for shear-dependent flows. ACM Trans. Graph. 34, 5 (2015), 160:1--20.Google Scholar
Digital Library
- Fan Zhang, Xiong Zhang, Kam Yim Sze, Yanping Lian, and Yan Liu. 2017. Incompressible material point method for free surface flow. J. Comput. Phys. 330 (2017), 92--110.Google Scholar
Digital Library
- Yizhong Zhang, Huamin Wang, Shuai Wang, Yiying Tong, and Kun Zhou. 2012. A Deformable Surface Model for Real-Time Water Drop Animation. IEEE Trans. Vis. & Comp. Graph. 18, 8 (2012), 1281--1289.Google Scholar
Digital Library
- HW Zheng, Chang Shu, and Yong-Tian Chew. 2006. A lattice Boltzmann model for multiphase flows with large density ratio. J. Comput. Phys. 218, 1 (2006), 353--371.Google Scholar
Digital Library
- Wen Zheng, Jun-Hai Yong, and Jean-Claude Paul. 2009. Simulation of bubbles. Graphical Models 71, 6 (2009), 229--239.Google Scholar
Digital Library
- Yongning Zhu and Robert Bridson. 2005. Animating sand as a fluid. ACM Trans. Graph. 24, 3 (2005), 965--972.Google Scholar
Digital Library
- Yingqing Zu and Shuisheng He. 2013. Phase-field-based lattice Boltzmann model for incompressible binary fluid systems with density and viscosity contrasts. Physical Review E 87, 4 (2013), 043301.Google Scholar
Cross Ref
Index Terms
Efficient kinetic simulation of two-phase flows
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