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An improved pre-processing method for smooth particle hydrodynamics is proposed, which can rapidly distribute the uniform particles for the fluid field with an arbitrary boundary. The improved pre-processing method is obtained by improving the algorithm proposed by Colagrossi et al., whose method can distribute the uniform particles in a simple shape. However, when the ratio of the smoothing length to the initial particle space is bigger than unity, the algorithm proposed by Colagrossi et al. has a numerical oscillation and a slow convergence rate; and the fluid particles may penetrate the solid boundary. For solving the problems, the XSPH model is added to improve the algorithm stability, and the boundary force is exerted on the fluid particles near the solid boundary to prevent fluid particles from penetrating wall surface. Verified by showing some exmples, the improved pre-processing method can rapidly distribute the more uniform particles for the fluid field with an arbitrary boundary and prevent fluid particles from penetrating wall surface.
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Keywords:
- smooth particle hydrodynamics /
- pre-processing /
- XSPH /
- boundary force
[1] Liu M B, Liu G R 2010 Arxiv. Comput. Methods Engrg. 17 25
[2] Zhang A M 2008 Chin. Phys. B 17 927
[3] Sun Z H, Han R J 2008 Chin. Phys. B 17 3185
[4] Zhong C W, Xie J F, Zhuo C S, Xiong S W, Yin D C 2009 Chin. Phys. B 18 4083
[5] Wang J F, Sun F X, Cheng R J 2010 Chin. Phys. B 19 060201
[6] Cheng R J, Cheng Y M, Ge H X 2009 Chin. Phys. B 18 4059
[7] Gingold R A, Monaghan J J 1977 Mon. Not. R. Astron. Soc. 181 375
[8] Lucy L B 1977 Astron. J. 82 1013
[9] Monaghan J J 2005 Rep. Prog. Phys. 68 1703
[10] Monaghan J J 2012 Annu. Rev. Fluid Mech. 44 323
[11] Xu R, Stansby P, Aurence D L 2009 J. Comput. Phys. 228 6703
[12] Yang X Y, Liu M B 2012 Acta Phys. Sin. 61 224701 (in Chinese) [杨秀峰, 刘谋斌 2012 物理学报 61 224701]
[13] Marrone S, Colagrossi A, Antuono M, Colicchio G, Graziani G 2013 J. Comput. Phys. 245 456
[14] Shadloo M S, Zainali A, Yildiz M, Suleman A 2012 Int. J. Numer. Meth. Engng. 89 939
[15] 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]
[16] Jiang T, Lu G L, Lu W G 2013 Acta Phys. Sin. 62 224701 (in Chinese) [蒋涛, 陆广林, 陆伟刚 2013 物理学报 62 224701]
[17] Qiu L C 2013 Acta Phys. Sin. 62 124702 (in Chinese) [邱流潮 2013 物理学报 62 124702]
[18] Qiang H F, Shi C, Chen F Z Han Y W 2013 Acta Phys. Sin. 62 214701 (in Chinese) [强洪夫, 石超, 陈福振, 韩亚伟 2013 物理学报 62 214701]
[19] Quinlan N J, Lastiwka M, Basa M 2006 Int. J. Numer. Meth. Engng. 66 2064
[20] Liu M B, Chang J Z 2010 Acta Phys. Sin. 59 3654 (in Chinese) [刘谋斌, 常建忠 2010 物理学报 59 3654]
[21] Price D J 2007 Publ. Astron. Soc. Aust. 24 159
[22] Colagrossi A, Bouscasse B, Antuono M, Marrone S 2012 Comput. Phys. Commun. 183 1641
[23] Monaghan J J 1989 J. Comput. Phys. 82 1
[24] Liu M B, Liu G R 2006 Appl. Num. Math. 56 19
[25] Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P 1996 Comput. Methods Appl. Mech. Engrg. 139 3
[26] Morris J P, Fox P J, Zhu Y 1997 J. Comput. Phys. 136 214
[27] Macià F, Antuono M, Gonzales L M, Colagrossi A 2011 Prog. Theor. Phys. 125 1091
[28] Yildiz M, Rook R A, Suleman A 2009 Int. J. Numer. Meth. Engng. 77 1416
[29] Monaghan J J 1994 J. Comput. Phys. 110 399
[30] Monaghan J J, Kajtar J B 2009 Comput. Phys. Commun. 180 1811
[31] Liu M B, Shao J R 2012 Sci. China: Technol. Sci. 10 1
[32] Han Y W, Qiang H F, Zhao J L, Gao W R 2013 Acta Phys. Sin. 62 044702 (in Chinese) [韩亚伟, 强洪夫, 赵玖玲, 高巍然 2013 物理学报 62 044702]
[33] Larry D L, Albert G P, Theodore C C, Jim R H Firooz A A 1993 J. Comput. Phys. 109 67
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[1] Liu M B, Liu G R 2010 Arxiv. Comput. Methods Engrg. 17 25
[2] Zhang A M 2008 Chin. Phys. B 17 927
[3] Sun Z H, Han R J 2008 Chin. Phys. B 17 3185
[4] Zhong C W, Xie J F, Zhuo C S, Xiong S W, Yin D C 2009 Chin. Phys. B 18 4083
[5] Wang J F, Sun F X, Cheng R J 2010 Chin. Phys. B 19 060201
[6] Cheng R J, Cheng Y M, Ge H X 2009 Chin. Phys. B 18 4059
[7] Gingold R A, Monaghan J J 1977 Mon. Not. R. Astron. Soc. 181 375
[8] Lucy L B 1977 Astron. J. 82 1013
[9] Monaghan J J 2005 Rep. Prog. Phys. 68 1703
[10] Monaghan J J 2012 Annu. Rev. Fluid Mech. 44 323
[11] Xu R, Stansby P, Aurence D L 2009 J. Comput. Phys. 228 6703
[12] Yang X Y, Liu M B 2012 Acta Phys. Sin. 61 224701 (in Chinese) [杨秀峰, 刘谋斌 2012 物理学报 61 224701]
[13] Marrone S, Colagrossi A, Antuono M, Colicchio G, Graziani G 2013 J. Comput. Phys. 245 456
[14] Shadloo M S, Zainali A, Yildiz M, Suleman A 2012 Int. J. Numer. Meth. Engng. 89 939
[15] 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]
[16] Jiang T, Lu G L, Lu W G 2013 Acta Phys. Sin. 62 224701 (in Chinese) [蒋涛, 陆广林, 陆伟刚 2013 物理学报 62 224701]
[17] Qiu L C 2013 Acta Phys. Sin. 62 124702 (in Chinese) [邱流潮 2013 物理学报 62 124702]
[18] Qiang H F, Shi C, Chen F Z Han Y W 2013 Acta Phys. Sin. 62 214701 (in Chinese) [强洪夫, 石超, 陈福振, 韩亚伟 2013 物理学报 62 214701]
[19] Quinlan N J, Lastiwka M, Basa M 2006 Int. J. Numer. Meth. Engng. 66 2064
[20] Liu M B, Chang J Z 2010 Acta Phys. Sin. 59 3654 (in Chinese) [刘谋斌, 常建忠 2010 物理学报 59 3654]
[21] Price D J 2007 Publ. Astron. Soc. Aust. 24 159
[22] Colagrossi A, Bouscasse B, Antuono M, Marrone S 2012 Comput. Phys. Commun. 183 1641
[23] Monaghan J J 1989 J. Comput. Phys. 82 1
[24] Liu M B, Liu G R 2006 Appl. Num. Math. 56 19
[25] Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P 1996 Comput. Methods Appl. Mech. Engrg. 139 3
[26] Morris J P, Fox P J, Zhu Y 1997 J. Comput. Phys. 136 214
[27] Macià F, Antuono M, Gonzales L M, Colagrossi A 2011 Prog. Theor. Phys. 125 1091
[28] Yildiz M, Rook R A, Suleman A 2009 Int. J. Numer. Meth. Engng. 77 1416
[29] Monaghan J J 1994 J. Comput. Phys. 110 399
[30] Monaghan J J, Kajtar J B 2009 Comput. Phys. Commun. 180 1811
[31] Liu M B, Shao J R 2012 Sci. China: Technol. Sci. 10 1
[32] Han Y W, Qiang H F, Zhao J L, Gao W R 2013 Acta Phys. Sin. 62 044702 (in Chinese) [韩亚伟, 强洪夫, 赵玖玲, 高巍然 2013 物理学报 62 044702]
[33] Larry D L, Albert G P, Theodore C C, Jim R H Firooz A A 1993 J. Comput. Phys. 109 67
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