一种改进的光滑粒子流体动力学前处理方法

雷娟棉; 黄灿

doi:10.7498/aps.63.144702

摘要

为了便于对任意边界形状的计算域快速地布置均匀粒子，提出了一种改进的光滑粒子流体动力学前处理方法. 该方法是在2012年Colagrossi等提出的算法基础上进行改进后得到的. Colagrossi 等提出的算法能够计算一些简单外形分布比较均匀的粒子. 然而当光滑长度与初始粒子间距的比值较大时该方法在计算过程中会出现较强的数值震荡问题，收敛速度慢；而且在计算过程中可能会遭遇流体粒子穿透固体壁面的问题. 本文通过引入未知因素修正的平滑粒子动力学模型来提高计算稳定性，并通过对边界附近的流体粒子施加边界力来避免流体粒子穿透固体壁面. 算例验证结果表明，利用改进后的光滑粒子流体动力学前处理方法能够快速地对各种边界形状的计算域分布均匀粒子，并且避免了流体粒子穿透固体壁面的问题.

关键词:

Abstract

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.

Keywords:

作者及机构信息

雷娟棉,
黄灿

1.
北京理工大学宇航学院, 北京 100081

Authors and contacts

1.
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

参考文献

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[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
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[8]	Lucy L B 1977 Astron. J. 82 1013
[9]	Monaghan J J 2005 Rep. Prog. Phys. 68 1703
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[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 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 62 224701]
[17]	Qiu L C 2013 Acta Phys. Sin. 62 124702 (in Chinese) [邱流潮 2013 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 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 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 62 044702]
[33]	Larry D L, Albert G P, Theodore C C, Jim R H Firooz A A 1993 J. Comput. Phys. 109 67

施引文献

[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 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 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 62 224701]
[17]	Qiu L C 2013 Acta Phys. Sin. 62 124702 (in Chinese) [邱流潮 2013 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 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 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 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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