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In this paper, we present a modified smoothed particle hydrodynamics (SPH) method. In order to well predict the morphology change of liquid drop, the presented SPH method employs a kernel gradient correction and a coupled solid boundary treatment algorithm. An inter-particle interaction force is used to model surface tension, and an artificial stress model is used to deal with tensile instability. The process of droplet impacting on liquid film is numerically simulated by the modified SPH method, which can well predict the pressure field evolution process of the drop impacting onto the liquid film and capture the variation of the free surface at different instants. Effects of Web number and surface stress on droplet impacting are also investigated, and mechanism of droplet splashing is analyzed. It is clearly demonstrated that the modified SPH method can effectively describe the dynamics of droplet splashing and the variation of the free surface. The obtained liquid drop morphology accords well with the results from other sources.
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Keywords:
- droplet impact /
- liquid film /
- smoothed particle hydrodynamics /
- numerical simulation
[1] Wright A C 1986 Earth. Surf. Proc. Land. 11 351
[2] Fedorchenko A I, Wang A B 2004 Phys. Fluids. 16 1349
[3] Yarin A L 2006 Annu. Rev. Fluid. Mech. 38 159
[4] Worthington A M 1876 Proc. R. Soc. Lond. 25 261
[5] Walzel P 1980 Chem-ing-tech. 52 338
[6] Rein M 1993 Fluid. Dyn. Res. 12 61
[7] Thoroddsen S T, Etoh T G, Takehara K, Ootsuka N, Hatsuki A 2005 J. Fluid. Mech. 545 203
[8] Cossali G E, Coghe A, Marengo M 1997 Exp. Fluids. 22 463
[9] Wang A B, Chen C C 2000 Phys. Fluids. 12 2155
[10] Guo J H, Dai S Q, Dai Q 2010 Acta Phys. Sin. 59 2601 (in Chinese) [郭加宏, 戴世强, 代钦 2010 59 2601]
[11] Sulsky D, Zhou S J, Schreyer H L 1995 Comput. Phys. Commun. 87 236
[12] Hirt C W, Nichols B D 1981 J. Comput. Phys. 39 201
[13] Sussman M, Smereka P, Osher S 1994 J. Comput. Phys. 114 146
[14] Koshizuka S, Nobe A, Oka Y 1998 Int. J. Numer. Meth. Fl. 26 751
[15] Lee T, Lin C L 2005 J. Comput. Phys. 206 16
[16] Liu M B, Meakin P, Huang H 2006 Phys. Fluids. 18 017101
[17] Harlow F H, Shannon J P 1967 J. Appl. Phys. 38 3855
[18] Prosperetti A, Oguz H N 1993 Annu. Rev. Fluid. Mech. 25 577
[19] Xie H, Koshizuka S, Oka Y 2004 Int. J. Numer. Meth. Fl. 45 1009
[20] Jiang T, Ouyang J, Zhao X K, Ren J L 2011 Acta Phys. Sin. 60 054701(in Chinese) [蒋涛, 欧阳洁, 赵晓凯, 任金莲 2011 60 054701]
[21] Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954 (in Chinese) [常建忠, 刘谋斌, 刘汉涛 2008 57 3954]
[22] Liu M B, Liu G R, Zong Z, Lam K Y 2003 Comput. Fluids. 32 305
[23] Liu M B, Liu G R, Zong Z 2008 Int. J. Comp. Meth-Sing 5 135
[24] Lucy L B 1977 Astron. J. 82 1013
[25] Monaghan J J 2005 Rep. Prog. Phys. 68 1703
[26] Liu M B, Liu G R 2010 Arch. Comput. Method. E 17 25
[27] Zhang S, Morita K, Fukuda K, Shirakawa N 2007 Int. J. Numer. Meth. Fl. 55 225
[28] Liu M B, Liu G R 2005 Comput. Mech. 35 332
[29] Tartakovsky A, Meakin P 2005 Phys. Rev. E 72 026301
[30] Liu M B, Shao J R, Chang J Z 2012 Sci. China Ser. E 55 1
[31] Kourosh 2011 ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2011)
[32] Monaghan J J 2000 J. Comput. Phys. 159 290
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[1] Wright A C 1986 Earth. Surf. Proc. Land. 11 351
[2] Fedorchenko A I, Wang A B 2004 Phys. Fluids. 16 1349
[3] Yarin A L 2006 Annu. Rev. Fluid. Mech. 38 159
[4] Worthington A M 1876 Proc. R. Soc. Lond. 25 261
[5] Walzel P 1980 Chem-ing-tech. 52 338
[6] Rein M 1993 Fluid. Dyn. Res. 12 61
[7] Thoroddsen S T, Etoh T G, Takehara K, Ootsuka N, Hatsuki A 2005 J. Fluid. Mech. 545 203
[8] Cossali G E, Coghe A, Marengo M 1997 Exp. Fluids. 22 463
[9] Wang A B, Chen C C 2000 Phys. Fluids. 12 2155
[10] Guo J H, Dai S Q, Dai Q 2010 Acta Phys. Sin. 59 2601 (in Chinese) [郭加宏, 戴世强, 代钦 2010 59 2601]
[11] Sulsky D, Zhou S J, Schreyer H L 1995 Comput. Phys. Commun. 87 236
[12] Hirt C W, Nichols B D 1981 J. Comput. Phys. 39 201
[13] Sussman M, Smereka P, Osher S 1994 J. Comput. Phys. 114 146
[14] Koshizuka S, Nobe A, Oka Y 1998 Int. J. Numer. Meth. Fl. 26 751
[15] Lee T, Lin C L 2005 J. Comput. Phys. 206 16
[16] Liu M B, Meakin P, Huang H 2006 Phys. Fluids. 18 017101
[17] Harlow F H, Shannon J P 1967 J. Appl. Phys. 38 3855
[18] Prosperetti A, Oguz H N 1993 Annu. Rev. Fluid. Mech. 25 577
[19] Xie H, Koshizuka S, Oka Y 2004 Int. J. Numer. Meth. Fl. 45 1009
[20] Jiang T, Ouyang J, Zhao X K, Ren J L 2011 Acta Phys. Sin. 60 054701(in Chinese) [蒋涛, 欧阳洁, 赵晓凯, 任金莲 2011 60 054701]
[21] Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954 (in Chinese) [常建忠, 刘谋斌, 刘汉涛 2008 57 3954]
[22] Liu M B, Liu G R, Zong Z, Lam K Y 2003 Comput. Fluids. 32 305
[23] Liu M B, Liu G R, Zong Z 2008 Int. J. Comp. Meth-Sing 5 135
[24] Lucy L B 1977 Astron. J. 82 1013
[25] Monaghan J J 2005 Rep. Prog. Phys. 68 1703
[26] Liu M B, Liu G R 2010 Arch. Comput. Method. E 17 25
[27] Zhang S, Morita K, Fukuda K, Shirakawa N 2007 Int. J. Numer. Meth. Fl. 55 225
[28] Liu M B, Liu G R 2005 Comput. Mech. 35 332
[29] Tartakovsky A, Meakin P 2005 Phys. Rev. E 72 026301
[30] Liu M B, Shao J R, Chang J Z 2012 Sci. China Ser. E 55 1
[31] Kourosh 2011 ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2011)
[32] Monaghan J J 2000 J. Comput. Phys. 159 290
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