Simulation of multiple fluids with solid–liquid phase transition

Physically based multiphase fluid simulation has been a hot topic in computer graphics. Since there are complex changing interface topology and interactions among air, solid, and different fluids, few papers have devoted to simulate the multiple fluids phenomena with solid–liquid phase transition. In this paper, the thermal fluid model for phase transition combined with free surface tracking is used to describe the interaction between air and fluids. Then a new model based on hierarchical lattice is proposed to process the solid–liquid interaction and the phase transition in the solid–liquid interface. Further, with the use of hybrid interaction with multidistribution functions, different realistic multiple fluids phenomena are rendered with different lattice sizes. Copyright © 2012 John Wiley & Sons, Ltd.

[1]  Renato Pajarola,et al.  A unified particle model for fluid–solid interactions , 2007, Comput. Animat. Virtual Worlds.

[2]  Gavin S. P. Miller,et al.  Rapid, stable fluid dynamics for computer graphics , 1990, SIGGRAPH.

[3]  Markus H. Gross,et al.  Particle-based fluid-fluid interaction , 2005, SCA '05.

[4]  H. Wagner,et al.  Hydrodynamic simulations of laboratory scale bubble columns fundamental studies of the Eulerian–Eulerian modelling approach , 1999 .

[5]  A. Prosperetti,et al.  Bubble Dynamics and Cavitation , 1977 .

[6]  Kei Iwasaki,et al.  Fast Particle‐based Visual Simulation of Ice Melting , 2010, Comput. Graph. Forum.

[7]  Klaus Mueller,et al.  Melting and flowing in multiphase environment , 2006, Comput. Graph..

[8]  Géza Odor.  Phase transition classes in triplet and quadruplet reaction-diffusion models. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Ronald Fedkiw,et al.  Animation and rendering of complex water surfaces , 2002, ACM Trans. Graph..

[10]  Ross T. Whitaker,et al.  Particle‐Based Simulation of Fluids , 2003, Comput. Graph. Forum.

[11]  James F. O'Brien,et al.  A method for animating viscoelastic fluids , 2004, ACM Trans. Graph..

[12]  Markus H. Gross,et al.  Interaction of fluids with deformable solids , 2004, Comput. Animat. Virtual Worlds.

[13]  Ronald Fedkiw,et al.  Multiple interacting liquids , 2006, ACM Trans. Graph..

[14]  Markus H. Gross,et al.  Eurographics Symposium on Point-based Graphics (2005) a Unified Lagrangian Approach to Solid-fluid Animation , 2022 .

[15]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[16]  S Succi,et al.  Lattice Boltzmann model for anisotropic liquid-solid phase transition. , 2001, Physical review letters.

[17]  Fariborz Taghipour,et al.  CFD Modeling of the Hydrodynamics and Reaction Kinetics of FCC Fluidized-Bed Reactors , 2005 .

[18]  Andrew P. Witkin,et al.  Untangling cloth , 2003, ACM Trans. Graph..

[19]  Kenjiro T. Miura,et al.  Animation of ice melting phenomenon based on thermodynamics with thermal radiation , 2004, GRAPHITE '07.

[20]  Enhua Wu,et al.  Stable and efficient miscible liquid-liquid interactions , 2007, VRST '07.

[21]  Renato Pajarola,et al.  A unified particle model for fluid–solid interactions: Research Articles , 2007 .

[22]  Philip Dutré,et al.  An architecture for unified SPH simulations , 2009 .

[23]  Yee-Hong Yang,et al.  Particle-based immiscible fluid-fluid collision , 2006, Graphics Interface.

[24]  M. Ganaoui,et al.  Computational solution for fluid flow under solid/liquid phase change conditions , 2002 .

[25]  Qunsheng Peng,et al.  Realistic simulation of mixing fluids , 2011, The Visual Computer.

[26]  Richard Burrows,et al.  Multi-block lattice Boltzmann simulations of subcritical flow in open channel junctions , 2009 .

[27]  Matthias Teschner,et al.  Interaction of fluids with deformable solids: Research Articles , 2004 .

[28]  R. Dickman,et al.  Nonequilibrium Phase Transitions in Lattice Models , 1999 .

[29]  Enhua Wu,et al.  Volume fraction based miscible and immiscible fluid animation , 2010, Comput. Animat. Virtual Worlds.

[30]  Sung Yong Shin,et al.  A unified handling of immiscible and miscible fluids , 2008, Comput. Animat. Virtual Worlds.

[31]  L. Luo,et al.  Theory of the lattice Boltzmann method: two-fluid model for binary mixtures. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Enhua Wu,et al.  Simulation of miscible binary mixtures based on lattice Boltzmann method , 2006, Comput. Animat. Virtual Worlds.

[33]  Kwang-Jin Choi,et al.  Stable but responsive cloth , 2002, SIGGRAPH 2002.

[34]  Ulrich Rüde,et al.  Free Surface Lattice-Boltzmann fluid simulations with and without level sets , 2004, VMV.

[35]  Ronald Fedkiw,et al.  Two-Way Coupled SPH and Particle Level Set Fluid Simulation , 2008, IEEE Transactions on Visualization and Computer Graphics.

[36]  S. Zaleski,et al.  Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows , 1999 .

[37]  Robert Bridson,et al.  A fast variational framework for accurate solid-fluid coupling , 2007, ACM Trans. Graph..

[38]  Sung Yong Shin,et al.  A Hybrid Approach to Multiple Fluid Simulation using Volume Fractions , 2010, Comput. Graph. Forum.

[39]  Ronald Fedkiw,et al.  Melting and burning solids into liquids and gases , 2006, IEEE Transactions on Visualization and Computer Graphics.

[40]  Ulrich Rüde,et al.  Free Surface Flows with Moving and Deforming Objects for LBM , 2006 .

[41]  Chang Shu,et al.  A 3D incompressible thermal lattice Boltzmann model and its application to simulate natural convection in a cubic cavity , 2004 .

[42]  Greg Turk,et al.  Animating Corrosion and Erosion , 2007, NPH.