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In order to simulate the deformation and motion of droplet at the interface between vapor and solid surface, the smoothed particle hydrodynamics method with continuum surface force model for surface tension is modified in this paper. A surface tension algorithm with boundary conditions of wall adhesion is derived using a new treatment of boundary conditions and a corrective algorithm of particle interface normal. The colours of virtual solid particles are set according to the position of fluid surface to assure that the interface normal of particles at the junction of vapor, fluid and solid phase is normal to the contact line. By introducing Brackbill's treatment of boundary conditions of wall adhesion, the interface normal between fluid particles and some virtual solid particles at the junction of vapor, fluid and solid phase is corrected. However the module of the interface normal is kept constant. Finally, based on the new algorithm, the changing process of fluid surface in a tank, wetting process of a droplet and distortion process of a droplet on solid surface driven by shear flow are simulated. The results are compared with those obtained by volume of fluid method, showing that the new method has higher accuracy and better stability, and it is adapted to deal with the engineering problems such as the deformation and motion of droplets at the interface between vapor and solid surface.
[1] Tseng Y T, Tseng F G, Chen Y F, Cheng C C 2004 Sensor. Actuat. A: Phys. 114 292
[2] Daniel S, Sircar S, Gliem J, Chaudhury M K 2002 Langmuir 18 3404
[3] Brackbill J U, Kothe D B, Zemach C 1992 J. Comput. Phys. 100 335
[4] Liu J, Koshizuka S, Oka Y 2005 J. Comput. Phys. 202 65
[5] Wang F, He F 2006 Acta Phys. Sin. 55 1005 (in Chinese) [王飞, 何枫 2006 55 1005]
[6] Liu M B, Chang J Z, Liu H T, Su T X 2011 Int. J. Comput. Met. 8 637
[7] 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]
[8] Zhang M K, Chen S, Shang Z 2010 Acta Phys. Sin. 61 034701 (in Chinese) [张明焜, 陈硕, 尚智 2010 61 034701]
[9] Fang H S, Bao K, Wei J A, Zhang H, Wu E H, Zheng L L 2009 Numer. Heat. Tr. A: Appl. 55 124
[10] Bao K, Zhang H, Zheng L L, Wu E H 2009 Comput. Animat. Virt. W 20 311
[11] Morris J P 2000 Int. J. Numer. Methods Fluids 33 333
[12] Liu M B, Liu G R, Lam K Y 2003 Int. J. Comput. Eng. Sci. 4 405
[13] Liu M B, Liu G R 2005 J. Comput. Mech. 35 332
[14] Qiang H F, Chen F Z, Gao W R 2011 China J. Comput. Phys. 28 375 (in Chinese) [强洪夫, 陈福振, 高巍然 2011 计算物理 28 375]
[15] Qiang H F, Chen F Z, Gao W R 2011 Comput. Model. Eng. 77 239
[16] Monaghan J J 2000 J. Comput. Phys. 159 290
[17] Liu G R, Liu M B 2003 Smoothed Particle Hydrodynamics: A Meshfree Particle Method (Singapore: World Scientific) p132
[18] Ott F, Schnetter E 2003 ArXiv: Physics/0303112v3 [physics. comp-ph]
[19] Morris J P, Fox P J, Zhu Y 1997 J. Comput. Phys. 136 214
[20] Gray J P, Monaghan J J, Swift R P 2001 Comput. Methods Appl. Mech. Eng. 190 6641
[21] Monaghan J J 1989 J. Comput. Phys. 82 1
[22] Cao X P, Jiang Y M 2005 Acta Phys. Sin. 54 2202 (in Chinese) [曹晓平, 蒋亦民 2005 54 2202]
[23] Fan J, Hu C B, Zhang Y L, He G Q 2011 J. Exp. Fluid. Mech. 25 5 (in Chinese) [范健, 胡春波, 张育林, 何国强 2011 实验流体力学 25 5]
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[1] Tseng Y T, Tseng F G, Chen Y F, Cheng C C 2004 Sensor. Actuat. A: Phys. 114 292
[2] Daniel S, Sircar S, Gliem J, Chaudhury M K 2002 Langmuir 18 3404
[3] Brackbill J U, Kothe D B, Zemach C 1992 J. Comput. Phys. 100 335
[4] Liu J, Koshizuka S, Oka Y 2005 J. Comput. Phys. 202 65
[5] Wang F, He F 2006 Acta Phys. Sin. 55 1005 (in Chinese) [王飞, 何枫 2006 55 1005]
[6] Liu M B, Chang J Z, Liu H T, Su T X 2011 Int. J. Comput. Met. 8 637
[7] 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]
[8] Zhang M K, Chen S, Shang Z 2010 Acta Phys. Sin. 61 034701 (in Chinese) [张明焜, 陈硕, 尚智 2010 61 034701]
[9] Fang H S, Bao K, Wei J A, Zhang H, Wu E H, Zheng L L 2009 Numer. Heat. Tr. A: Appl. 55 124
[10] Bao K, Zhang H, Zheng L L, Wu E H 2009 Comput. Animat. Virt. W 20 311
[11] Morris J P 2000 Int. J. Numer. Methods Fluids 33 333
[12] Liu M B, Liu G R, Lam K Y 2003 Int. J. Comput. Eng. Sci. 4 405
[13] Liu M B, Liu G R 2005 J. Comput. Mech. 35 332
[14] Qiang H F, Chen F Z, Gao W R 2011 China J. Comput. Phys. 28 375 (in Chinese) [强洪夫, 陈福振, 高巍然 2011 计算物理 28 375]
[15] Qiang H F, Chen F Z, Gao W R 2011 Comput. Model. Eng. 77 239
[16] Monaghan J J 2000 J. Comput. Phys. 159 290
[17] Liu G R, Liu M B 2003 Smoothed Particle Hydrodynamics: A Meshfree Particle Method (Singapore: World Scientific) p132
[18] Ott F, Schnetter E 2003 ArXiv: Physics/0303112v3 [physics. comp-ph]
[19] Morris J P, Fox P J, Zhu Y 1997 J. Comput. Phys. 136 214
[20] Gray J P, Monaghan J J, Swift R P 2001 Comput. Methods Appl. Mech. Eng. 190 6641
[21] Monaghan J J 1989 J. Comput. Phys. 82 1
[22] Cao X P, Jiang Y M 2005 Acta Phys. Sin. 54 2202 (in Chinese) [曹晓平, 蒋亦民 2005 54 2202]
[23] Fan J, Hu C B, Zhang Y L, He G Q 2011 J. Exp. Fluid. Mech. 25 5 (in Chinese) [范健, 胡春波, 张育林, 何国强 2011 实验流体力学 25 5]
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