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In this paper, we present a numerical simulation of a single liquid drop impacting onto solid surface with smoothed particle hydrodynamics (SPH). SPH is a Lagrangian, meshfree particle method, and it is attractive in dealing with free surfaces, moving interfaces and deformable boundaries. The SPH model includes an improved approximation scheme with corrections to kernel gradient and density to improve computational accuracy. Riemann solver is adopted to solve equations of fluid motion. An new inter-particle interaction force is used for modeling the surface tension effects, and the modified SPH method is used to investigate liquid drop impacting onto solid surfaces. It is demonstrated that the inter-particle interaction force can effectively simulate the effect of surface tension. It can well describe the dynamic process of morphology evolution and the pressure field evolution with accurate and stable results. The spread factor increases with the increase of the initial Weber number. The numerical results are in good agreement with the theoretical and experimental results in the literature.
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Keywords:
- liquid drop /
- solid surfaces /
- smoothed particle hydrodynamics /
- surface tension
[1] Tuan T 2012 Phys. Rev. Lett. 108 036101
[2] Thoroddsen S T, Takehara K 2012 J. Fluid. Mech. 706 560
[3] Zhang M K, Chen S, Shang Z 2012 Acta Phys. Sin. 61 034701 (in Chinese) [张明焜, 陈硕, 尚智 2012 物理学报 61 034701]
[4] Liu M B, Chang J Z 2011 Int. J. Comput. Meth. 8 637
[5] Worthington A M 1876 Proc. R. Soc. Lond. 25 261
[6] Roisman I V, Opfer L, Tropea C, Raessi M, Mostaghimi J, Chandra S 2008 Colloids Surfaces A 322 183
[7] Qiang H F, Liu K, Chen F Z 2012 Acta Phys. Sin. 61 204701 (in Chinese) [强洪夫, 刘开, 陈福振 2012 物理学报 61 204701]
[8] Bussmann M, Chandra S, Mostaghimi J 2000 Phys. Fluids 12 3121
[9] Eggers J, Fontelos M A, Josserand C, Zaleski S 2010 Phys. Fluids 22 301
[10] Ellis A S, Smith F T, White A H 2011 Q. J. Mech. Appl. Math. 64 107
[11] Ma L Q, Chang J Z, Liu H T, Liu M B 2012 Acta Phys. Sin. 61 054701 (in Chinese) [马理强, 常建忠, 刘汉涛, 刘谋斌 2012 物理学报 61 054701]
[12] Yang B H, Wang H, Zhu X, Ding Y D, Zhou J 2012 CIESC J. 10 3027 (in Chinese) [杨宝海, 王宏, 朱恂, 丁玉栋, 周劲 2012 化工学报 10 3027]
[13] Sikalo S, Wilhelm H D, Roisman I V, Jakirlic S, Tropea C 2005 Phys. Fluids 17 062103
[14] Liu M B, Liu G R, Zong Z, Lam K Y 2003 Comput. Fluids 32 305
[15] Liu M B, Liu G R, Zong Z 2008 Int. J. Comput. Meth. 5 135
[16] Liu M B, Liu G R 2010 Arxiv. Comput. Methods Engrg. 17 25
[17] Liu M B, Chang J Z 2010 Acta Phys. Sin. 59 26
[18] Liu M B, Liu G R, Lam K Y 2003 Electron. Model. 25 113
[19] Liu M B, Liu G R, Lam K Y 2003 J. Comput. Appl. Math. 155 263
[20] Liu M B, Liu G R, Lam K Y, Zong Z 2003 Comput. Mech. 30 106
[21] Liu M B, Shao J R 2012 Sci. China E 42 1
[22] Monaghan J J 1992 Annu. Rev. Astron. Astr. 30 543
[23] 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 物理学报 60 054701]
[24] Zhang S, Morita K, Fukuda K, Shirakawa N 2007 Int. J. Numer. Meth. Fl. 55 225
[25] Liu M B, Liu G R 2005 Comput. Mech. 35 332
[26] Rioboo R, Marengo M, Tropea C 2002 Exp. Fluids 33 112
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[1] Tuan T 2012 Phys. Rev. Lett. 108 036101
[2] Thoroddsen S T, Takehara K 2012 J. Fluid. Mech. 706 560
[3] Zhang M K, Chen S, Shang Z 2012 Acta Phys. Sin. 61 034701 (in Chinese) [张明焜, 陈硕, 尚智 2012 物理学报 61 034701]
[4] Liu M B, Chang J Z 2011 Int. J. Comput. Meth. 8 637
[5] Worthington A M 1876 Proc. R. Soc. Lond. 25 261
[6] Roisman I V, Opfer L, Tropea C, Raessi M, Mostaghimi J, Chandra S 2008 Colloids Surfaces A 322 183
[7] Qiang H F, Liu K, Chen F Z 2012 Acta Phys. Sin. 61 204701 (in Chinese) [强洪夫, 刘开, 陈福振 2012 物理学报 61 204701]
[8] Bussmann M, Chandra S, Mostaghimi J 2000 Phys. Fluids 12 3121
[9] Eggers J, Fontelos M A, Josserand C, Zaleski S 2010 Phys. Fluids 22 301
[10] Ellis A S, Smith F T, White A H 2011 Q. J. Mech. Appl. Math. 64 107
[11] Ma L Q, Chang J Z, Liu H T, Liu M B 2012 Acta Phys. Sin. 61 054701 (in Chinese) [马理强, 常建忠, 刘汉涛, 刘谋斌 2012 物理学报 61 054701]
[12] Yang B H, Wang H, Zhu X, Ding Y D, Zhou J 2012 CIESC J. 10 3027 (in Chinese) [杨宝海, 王宏, 朱恂, 丁玉栋, 周劲 2012 化工学报 10 3027]
[13] Sikalo S, Wilhelm H D, Roisman I V, Jakirlic S, Tropea C 2005 Phys. Fluids 17 062103
[14] Liu M B, Liu G R, Zong Z, Lam K Y 2003 Comput. Fluids 32 305
[15] Liu M B, Liu G R, Zong Z 2008 Int. J. Comput. Meth. 5 135
[16] Liu M B, Liu G R 2010 Arxiv. Comput. Methods Engrg. 17 25
[17] Liu M B, Chang J Z 2010 Acta Phys. Sin. 59 26
[18] Liu M B, Liu G R, Lam K Y 2003 Electron. Model. 25 113
[19] Liu M B, Liu G R, Lam K Y 2003 J. Comput. Appl. Math. 155 263
[20] Liu M B, Liu G R, Lam K Y, Zong Z 2003 Comput. Mech. 30 106
[21] Liu M B, Shao J R 2012 Sci. China E 42 1
[22] Monaghan J J 1992 Annu. Rev. Astron. Astr. 30 543
[23] 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 物理学报 60 054701]
[24] Zhang S, Morita K, Fukuda K, Shirakawa N 2007 Int. J. Numer. Meth. Fl. 55 225
[25] Liu M B, Liu G R 2005 Comput. Mech. 35 332
[26] Rioboo R, Marengo M, Tropea C 2002 Exp. Fluids 33 112
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