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本文对传统的光滑粒子动力学方法进行了改进, 改进的光滑粒子动力学方法对传统粒子方法中的核梯度进行了修正, 采用了一种新型的核函数和离散格式, 应用改进的光滑粒子动力学方法对微液滴振荡过程进行了数值研究. 研究了不同纵横比和雷诺数(Re)下振荡阻尼与振荡的周期、振幅与Re数的关系. 研究表明: 对于纵横比λ≤ 4时的微液滴振荡过程, 其他参数恒定不变的前提下, Re数越大, 液滴形状变化越剧烈, 波的阻尼作用越弱, 液滴振荡周期变长; 在Re数一定的前提下, 随着液滴初始的纵横比的增大, 液滴振动的振幅增大, 液滴振荡的周期变长.
[1] Melean Y, Sigalotti L D, Hasmy A 2006 Rev. Mex. Fis. 52 38
[2] Rayleigh L 1879 Proc. Roy. Soc. London 29 71
[3] Apfel R E, Tian Y, Jankovsky J, Shi T, Chen X, et al 1997 Phys. Rev. Lett. 78 1912
[4] Nugent S, Posch H A 2000 Phys. Rev. E 62 4968
[5] 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 物理学报 57 3954]
[6] Jiang T, Jie O Y, 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]
[7] Chen Q, Yu W, Zhou C X 2007 Acta Mech Sinica 39 528 (in Chinese) [陈全, 俞炜, 周持兴 2007 力学学报 39 528]
[8] Qiu L C 2013 Acta Phys. Sin. 62 124702 (in Chinese) [邱流潮 2013 物理学报 62 124702]
[9] Shen C L, Xie W J, Wei B 2010 Phys. Rev. E 81 046305
[10] Shen C L, Xie W J, Wei B 2010 Phys. Lett. A 374 2301
[11] Yan Z L, Xie W J, Shen C L, Wei B B 2011 Acta Phys. Sin. 60 064302 (in Chinese) [鄢振麟, 解文军, 沈昌乐, 魏炳波 2011 物理学报 60 064302]
[12] Ma L Q, Liu M B, Chang J Z 2012 Acta Phys. Sin. 61 244701 (in Chinese) [马理强, 刘谋斌, 常建忠 2012 物理学报 61 244701]
[13] Liu M B, Xie W P, Liu G R 2005 Appl. Math. Model. 29 1252
[14] Fu X J, Qiang H F, Yang Y C 2007 Advances in Mech. 37 375 (in Chinese) [傅学金, 强洪夫, 杨月诚 2007 力学进展 37 375]
[15] Swegle J W, Hicks D L, Attaway S W 1995 J. Comput. Phys. 116 123
[16] Morris J P 1996 Ph. D. Dissertation (Melbourne: Monash University)
[17] Liu M B, Liu G R, Lam K Y 2003 J. Comput. Appl. Math. 155 263
[18] Xiao S P, Belytschko T 2005 Adv. Comput. Math. 23 171
[19] Hicks D L, Liebrock L M 2004 Appl. Math. Ccmput. 150 213
[20] Yang X F, Liu M B 2012 Acta Phys. Sin. 61 224701 (in Chinese) [杨秀峰, 刘谋斌 2012 物理学报 61 224701]
[21] Lopez H, Sigalotti L 2006 Phys. Rev. E 73 051201
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[1] Melean Y, Sigalotti L D, Hasmy A 2006 Rev. Mex. Fis. 52 38
[2] Rayleigh L 1879 Proc. Roy. Soc. London 29 71
[3] Apfel R E, Tian Y, Jankovsky J, Shi T, Chen X, et al 1997 Phys. Rev. Lett. 78 1912
[4] Nugent S, Posch H A 2000 Phys. Rev. E 62 4968
[5] 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 物理学报 57 3954]
[6] Jiang T, Jie O Y, 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]
[7] Chen Q, Yu W, Zhou C X 2007 Acta Mech Sinica 39 528 (in Chinese) [陈全, 俞炜, 周持兴 2007 力学学报 39 528]
[8] Qiu L C 2013 Acta Phys. Sin. 62 124702 (in Chinese) [邱流潮 2013 物理学报 62 124702]
[9] Shen C L, Xie W J, Wei B 2010 Phys. Rev. E 81 046305
[10] Shen C L, Xie W J, Wei B 2010 Phys. Lett. A 374 2301
[11] Yan Z L, Xie W J, Shen C L, Wei B B 2011 Acta Phys. Sin. 60 064302 (in Chinese) [鄢振麟, 解文军, 沈昌乐, 魏炳波 2011 物理学报 60 064302]
[12] Ma L Q, Liu M B, Chang J Z 2012 Acta Phys. Sin. 61 244701 (in Chinese) [马理强, 刘谋斌, 常建忠 2012 物理学报 61 244701]
[13] Liu M B, Xie W P, Liu G R 2005 Appl. Math. Model. 29 1252
[14] Fu X J, Qiang H F, Yang Y C 2007 Advances in Mech. 37 375 (in Chinese) [傅学金, 强洪夫, 杨月诚 2007 力学进展 37 375]
[15] Swegle J W, Hicks D L, Attaway S W 1995 J. Comput. Phys. 116 123
[16] Morris J P 1996 Ph. D. Dissertation (Melbourne: Monash University)
[17] Liu M B, Liu G R, Lam K Y 2003 J. Comput. Appl. Math. 155 263
[18] Xiao S P, Belytschko T 2005 Adv. Comput. Math. 23 171
[19] Hicks D L, Liebrock L M 2004 Appl. Math. Ccmput. 150 213
[20] Yang X F, Liu M B 2012 Acta Phys. Sin. 61 224701 (in Chinese) [杨秀峰, 刘谋斌 2012 物理学报 61 224701]
[21] Lopez H, Sigalotti L 2006 Phys. Rev. E 73 051201
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