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A projection-based incompressible smooth particle hydrodynamics (ISPH) is applied to the simulation of the deformation process of viscous liquid drop. In our numerical computation, the particle shifting technique is used to overcome particle clustering due to the tensile instability in SPH. In order to verify the proposed ISPH, numerical simulations of a viscous circle drop stretching and a viscous square drop rotating are carried out. The pressure distribution in the drop is obtained, and the deformation process of viscous liquid drop is correctly captured. Comparisons between numerical results and the analytical solutions in the literature are presented. The simulation results show that the projection-based ISPH with particle shifting technique can be used to simulate the deformation process of viscous liquid drop with stability and accuracy.
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Keywords:
- incompressible smooth particle hydrodynamics /
- viscous liquid drop /
- free-surface flows /
- numerical simulation
[1] Lucy L 1977 J. Astron. 82 12
[2] Gingold R A, Monaghan J J 1977 Mon. Not. R. Astron. Soc. 181 375
[3] Monaghan J J 1994 J. Comput. Phys. 110 339
[4] Qiu L C 2008 J. Hydraulic Eng. ASCE 134 5
[5] 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]
[6] Ma L Q, Liu M B, Chang J Z, Su T X, Liu H T 2012 Acta Phys. Sin. 61 244701 (in Chinese) [马理强, 刘谋斌, 常建忠, 苏铁熊, 刘汉涛 2012 物理学报 61 244701]
[7] Cummins S J, Rudman M 1999 J. Comput. Phys. 152 2
[8] Shao S and Lo E Y M 2003 Advances in Water Resources 26 7
[9] Lee E S, Moulinec C, Xu R, Violeau D, Laurence D, Stansby P 2008 J. Comput. Phys. 227 8417
[10] Monaghan J J, Lattanzio J 1985 Astronomy and Astrophysics 149 135
[11] Monaghan J J 1992 Annu. Rev. Astron. Astrophys. 30 543
[12] Van Der Vorst H A 1992 S. J. Sci. Stat. Comput. 13 631
[13] Monaghan J J 1989 J. Comput. Phys. 82 1
[14] Morris J P, Fox P J, Zhu Y 1997 J. Comput. Phys. 136 214
[15] Monaghan J J 2000 J. Comput. Phys. 159 290
[16] Xu R 2009 Ph. D. Dissertation (Manchester: University of Manchester)
[17] Colagrossi A 2005 Ph. D. Dissertation (Roma: Universitá di Roma La Sapienza)
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[1] Lucy L 1977 J. Astron. 82 12
[2] Gingold R A, Monaghan J J 1977 Mon. Not. R. Astron. Soc. 181 375
[3] Monaghan J J 1994 J. Comput. Phys. 110 339
[4] Qiu L C 2008 J. Hydraulic Eng. ASCE 134 5
[5] 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]
[6] Ma L Q, Liu M B, Chang J Z, Su T X, Liu H T 2012 Acta Phys. Sin. 61 244701 (in Chinese) [马理强, 刘谋斌, 常建忠, 苏铁熊, 刘汉涛 2012 物理学报 61 244701]
[7] Cummins S J, Rudman M 1999 J. Comput. Phys. 152 2
[8] Shao S and Lo E Y M 2003 Advances in Water Resources 26 7
[9] Lee E S, Moulinec C, Xu R, Violeau D, Laurence D, Stansby P 2008 J. Comput. Phys. 227 8417
[10] Monaghan J J, Lattanzio J 1985 Astronomy and Astrophysics 149 135
[11] Monaghan J J 1992 Annu. Rev. Astron. Astrophys. 30 543
[12] Van Der Vorst H A 1992 S. J. Sci. Stat. Comput. 13 631
[13] Monaghan J J 1989 J. Comput. Phys. 82 1
[14] Morris J P, Fox P J, Zhu Y 1997 J. Comput. Phys. 136 214
[15] Monaghan J J 2000 J. Comput. Phys. 159 290
[16] Xu R 2009 Ph. D. Dissertation (Manchester: University of Manchester)
[17] Colagrossi A 2005 Ph. D. Dissertation (Roma: Universitá di Roma La Sapienza)
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