Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method

Journal of Computational Physics

Volumn 229, Issue 19, 2010, Pages 7238-7259

  Zhang, Mingyu ^a  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

Author keywords

Interfacial flow; Moving least squares method; Smoothed particle hydrodynamics; Surface tension

Indexed keywords

BENCHMARKING; HYDRODYNAMICS; IMAGE RECONSTRUCTION; LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; THREE DIMENSIONAL COMPUTER GRAPHICS;

BOUNDARY SURFACES; HYDRODYNAMIC PARTICLES; INTERFACIAL FLOWS; MOVING LEAST SQUARES METHOD; SMOOTHED PARTICLE HYDRODYNAMICS; SMOOTHED PARTICLE HYDRODYNAMICS METHODS; SURFACE TENSION FORCE; SURFACE TENSION MODELLING; THREE DIMENSIONS; TWO-DIMENSIONS;

SURFACE TENSION;

EID: 77955279500     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.06.010     Document Type: Article

References (27)

1. L.D. Landau, E.M. Lifshitz, Statistical Physics, Part 1, third ed., Butterworth-Heinemann, 1980.
2. Brackbill J.U., Kothe D.B., Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics 1992, 100(2):335-354.
3. Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. Journal of Computational Physics 1994, 114(1):146-159.
4. Chang Y.C., Hou T.Y., Merriman B., Osher S. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Journal of Computational Physics 1996, 124:449-464.
5. Bussmann M., Mostaghimi J., Chandra S. On a three-dimensional volume tracking model of droplet impact. Physics of Fluids 1999, 11(6).
6. Bussmann M., Chandra S., Mostaghimi J. Modeling the splash of a droplet impacting a solid surface. Physics of Fluids 2000, 12(12).
7. Zhang M.Y., Zhang H., Zheng L.L. Application of smoothed particle hydrodynamics method on free surface and solidification problems. Numerical Heat Transfer, Part A: Applications 2007, 52(4):299-314.
8. Zhang M.Y., Zhang H., Zheng L.L. Simulation of droplet spreading, splashing and solidification using smoothed particle hydrodynamics method. International Journal of Heat and Mass Transfer 2008, 51:3410-3419.
9. Zhang M.Y., Zhang H., Zheng L.L. Numerical investigation of substrate melting and deformation during thermal spray coating by SPH method. Plasma Chemistry and Plasma Processing 2009, 29:55-68.
10. Nugent S., Posch H.A. Liquid drops and surface tension with smoothed particle applied mechanics. Physical Review E 2000, 62(4):4968-4975.
11. Melean Y., Sigalotti L.D.G., Hasmy A. On the SPH tensile instability in forming viscous liquid drops. Computer Physics Communications 2004, 157(3):191-200.
12. Melean Y., Sigalotti L.D.G. Coalescence of colliding van der Waals liquid drops. International Journal of Heat and Mass Transfer 2005, 48(19-20):4041-4061.
13. López H., Sigalotti L.D.G. Oscillation of viscous drops with smoothed particle hydrodynamics. Physical Review E 2006, 73:12.
14. Colagrossi A., Landrini M. Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Journal of Computational Physics 2003, 191:448-475.
15. Tartakovsky A.M., Meakin P. Modeling of surface tension and contact angles with smoothed particle hydrodynamics. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2005, 72(2):1-9.
16. Tartakovsky A.M., Meakin P. A smoothed particle hydrodynamics model for miscible flow in three-dimensional fractures and the two-dimensional Rayleigh-Taylor instability. Journal of Computational Physics 2005, 207:610-624.
17. Morris J.P. Simulating surface tension with smoothed particle hydrodynamics. International Journal for Numerical Methods in Fluids 2000, 33(3):333-353.
18. Hu X.Y., Adams N.A. A multi-phase SPH method for macroscopic and mesoscopic flows. Journal of Computational Physics 2006, 213(2):844-861.
19. Hu X.Y., Adams N.A. An incompressible multi-phase SPH method. Journal of Computational Physics 2007, 227(1):264-278.
20. Hu X.Y., Adams N.A. A constant-density approach for incompressible multi-phase SPH. Journal of Computational Physics 2009, 228:2082-2091.
21. Dilts G.A. Moving least-squares particle hydrodynamics II: conservation and boundaries. International Journal for Numerical Methods in Engineering 2000, 48:1503-1524.
22. Haque A., Dilts G.A. Three-dimensional boundary detection for particle methods. Journal of Computational Physics 2007, 226:1710-1730.
23. Randles P.W., Libersky L.D. Smoothed particle hydrodynamics: some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering 1996, 139(1-4):375-408.
24. Monaghan J.J. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics 1992, 30:32.
25. Liu G.R., Liu M.B. Smoothed Particle Hydrodynamics-A Meshfree Particle Method 2003, World Scientific.
26. Lancaster P., Salkauskas K. Surfaces by moving least squares methods. Mathematics of Computation 1981, 37(155):141-158.
27. Rayleigh L. On the capillary phenomena of jets. Proceedings of the Royal Society of London 1879, 29:71.