1 School of Computer and Communication Engineering, University of Science and Technology Beijing, Beijing 100083, China;
2 Beijing Key Laboratory of Knowledge Engineering for Material Science, Beijing 100083, China
Abstract In order to capture stable and realistic microscopic features of fluid surface, a surface tension and adhesion method based on implicit incompressible SPH (smoothed particle hydrodynamics) is presented in this paper. It gives a steady and fast tension model and can solve the problem of not considering adhesion. Molecular cohesion and surface minimization are considered for surface tension, and adhesion is added to show the microscopic characteristics of the surface. To simulate surface tension and adhesion stably and efficiently, the surface tension and adhesion model is integrated to an implicit incompressible SPH method. The experimental results show that the method can better simulate surface features in a variety of scenarios compared with previous methods and meanwhile ensure stability and efficiency.
This work was supported by the National Natural Science Foundation of China under Grant Nos. 61572075 and 61702036, the National Key Research and Development Program of China under Grant Nos. 2016YFB0700502 and 2016YFB1001404, and the Fundamental Research Funds for the Central Universities of China under Grant No. 2302017FRF-TP-17-012A1.
Corresponding Authors: Xiao-Juan Ban
About author: Xiao-Kun Wang received his Ph.D.degree in computer science and technology from University of Science and Technology Beijing,Beijing,in 2017.Currently,he is a postdoctoral researcher and lecturer at University of Science and Technology Beijing,Beijing.His research interests include computer graphics and virtual reality.
Cite this article:
Xiao-Kun Wang, Xiao-Juan Ban, Ya-Lan Zhang, Si-Nuo Liu, Peng-Fei Ye.Surface Tension Model Based on Implicit Incompressible Smoothed Particle Hydrodynamics for Fluid Simulation[J] Journal of Computer Science and Technology, 2017,V32(6): 1186-1197
 Brackbill J U, Kothe D B, Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics, 1992, 100(2):335-354. Morris J P. Simulating surface tension with smoothed particle hydrodynamics. International Journal for Numerical Methods in Fluids, 2000, 33(3):333-353. Müller M, Charypar D, Gross M. Particle-based fluid simulation for interactive applications. In Proc. the 2003 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, July 2003, pp.154-159. Müller M, Solenthaler B, Keiser R et al. Particle-based fluid-fluid interaction. In Proc. the 2005 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, July 2005, pp.591-594. Nugent S, Posch H A. Liquid drops and surface tension with smoothed particle applied mechanics. Physical Review E, 2000, 62(4):4968-4975. Becker M, Teschner M. Weakly compressible SPH for free surface flows. In Proc. the 2007 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, Aug. 2007, pp.209-217. Tartakovsky A, Meakin P. Modeling of surface tension and contact angles with smoothed particle hydrodynamics. Physical Review E, 2005, 72(2):254-271. Akinci N, Akinci G, Teschner M. Versatile surface tension and adhesion for SPH fluids. ACM Transactions on Graphics, 2013, 32(6):Article No. 182. Clavet S, Beaudoin P, Poulin P. Particle based viscoelastic fluid simulation. In Proc. the 2005 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, July 2005, pp.219-228. Yu J, Wojtan C, Turk G et al. Explicit mesh surfaces for particle based fluids. Computer Graphics Forum, 2012, 31(2):815-824. Steele K, Cline D, Egbert P K et al. Modeling and rendering viscous liquids. Computer Animation & Virtual Worlds, 2004, 15(3/4):183-192. Schechter H, Bridson R. Ghost SPH for animating water. ACM Transactions on Graphics, 2012, 31(4):Article No. 61. He X, Liu N, Wang G et al. Staggered meshless solid-fluid coupling. ACM Transactions on Graphics, 2012, 31(6):439-445. Liu G R, Liu M B. Smoothed Particle Hydrodynamics:A Meshfree Particle Method. World Scientific, 2004 Akinci N, Ihmsen M, Akinci G et al. Versatile rigid-fluid coupling for incompressible SPH. ACM Transactions on Graphics, 2012, 31(4):Article No. 62. Solenthaler B, Pajarola R. Predictive-corrective incompressible SPH. ACM Transactions on Graphics, 2009, 28(3):341-352. Bodin K, Lacoursiere C, Servin M. Constraint fluids. IEEE Transactions on Visualization & Computer Graphics, 2012, 18(3):516-526. Cummins S J, Rudman M. An SPH projection method. Journal of Computational Physics, 1999, 152(2):584-607. Prem?oe S, Tasdizen T, Bigler J et al. Particle-based simulation of fluids. Computer Graphics Forum, 22(3):401-410. Losasso F, Talton J O, Kwatra N et al. Two-way coupled SPH and particle level set fluid simulation. IEEE Transactions on Visualization & Computer Graphics, 2008, 14(4):797-804. Ihmsen M, Cornelis J, Solenthaler B et al. Implicit incompressible SPH. IEEE Transactions on Visualization & Computer Graphics, 2014, 20(3):426-435. Yang T, Lin M C, Martin R R et al. Versatile interactions at interfaces for SPH-based simulations. In Proc. ACM Siggraph/Eurographics Symposium on Computer Animation, July 2016, pp.57-66.
Copyright 2010 by Journal of Computer Science and Technology