Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

doi:10.1088/1674-1056/25/10/104701

中国物理B ›› 2016, Vol. 25 ›› Issue (10): 104701-104701.doi: 10.1088/1674-1056/25/10/104701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

Ming-Lei Shan(单鸣雷), Chang-Ping Zhu(朱昌平), Cheng Yao(姚澄), Cheng Yin(殷澄), Xiao-Yan Jiang(蒋小燕)

1 College of Internet of Things Engineering, Hohai University, Changzhou 213022, China;
2 Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China

收稿日期:2016-03-22 修回日期:2016-05-04 出版日期:2016-10-05 发布日期:2016-10-05
通讯作者: Chang-Ping Zhu E-mail:cpzhu5126081@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11274092 and 1140040119) and the Natural Science Foundation of Jiangsu Province, China (Grant No. SBK2014043338).

Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

Ming-Lei Shan(单鸣雷)^1,2, Chang-Ping Zhu(朱昌平)^1,2, Cheng Yao(姚澄)¹, Cheng Yin(殷澄)¹, Xiao-Yan Jiang(蒋小燕)¹

1 College of Internet of Things Engineering, Hohai University, Changzhou 213022, China;
2 Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China

Received:2016-03-22 Revised:2016-05-04 Online:2016-10-05 Published:2016-10-05
Contact: Chang-Ping Zhu E-mail:cpzhu5126081@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11274092 and 1140040119) and the Natural Science Foundation of Jiangsu Province, China (Grant No. SBK2014043338).

摘要/Abstract

摘要： The dynamics of the cavitation bubble collapse is a fundamental issue for the bubble collapse application and prevention. In the present work, the modified forcing scheme for the pseudopotential multi-relaxation-time lattice Boltzmann model developed by Li Q et al. [ Li Q, Luo K H and Li X J 2013 Phys. Rev. E 87 053301] is adopted to develop a cavitation bubble collapse model. In the respects of coexistence curves and Laplace law verification, the improved pseudopotential multi-relaxation-time lattice Boltzmann model is investigated. It is found that the thermodynamic consistency and surface tension are independent of kinematic viscosity. By homogeneous and heterogeneous cavitation simulation, the ability of the present model to describe the cavitation bubble development as well as the cavitation inception is verified. The bubble collapse between two parallel walls is simulated. The dynamic process of a collapsing bubble is consistent with the results from experiments and simulations by other numerical methods. It is demonstrated that the present pseudopotential multi-relaxation-time lattice Boltzmann model is applicable and efficient, and the lattice Boltzmann method is an alternative tool for collapsing bubble modeling.

关键词: lattice Boltzmann method, pseudopotential model, bubble collapse, improved forcing scheme

Abstract: The dynamics of the cavitation bubble collapse is a fundamental issue for the bubble collapse application and prevention. In the present work, the modified forcing scheme for the pseudopotential multi-relaxation-time lattice Boltzmann model developed by Li Q et al. [ Li Q, Luo K H and Li X J 2013 Phys. Rev. E 87 053301] is adopted to develop a cavitation bubble collapse model. In the respects of coexistence curves and Laplace law verification, the improved pseudopotential multi-relaxation-time lattice Boltzmann model is investigated. It is found that the thermodynamic consistency and surface tension are independent of kinematic viscosity. By homogeneous and heterogeneous cavitation simulation, the ability of the present model to describe the cavitation bubble development as well as the cavitation inception is verified. The bubble collapse between two parallel walls is simulated. The dynamic process of a collapsing bubble is consistent with the results from experiments and simulations by other numerical methods. It is demonstrated that the present pseudopotential multi-relaxation-time lattice Boltzmann model is applicable and efficient, and the lattice Boltzmann method is an alternative tool for collapsing bubble modeling.

Key words: lattice Boltzmann method, pseudopotential model, bubble collapse, improved forcing scheme

中图分类号: (Lattice gas)

47.11.Qr

47.55.Ca (Gas/liquid flows) 47.55.dd (Bubble dynamics) 47.55.dp (Cavitation and boiling)

单鸣雷, 朱昌平, 姚澄, 殷澄, 蒋小燕. Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio[J]. 中国物理B, 2016, 25(10): 104701-104701.

Ming-Lei Shan(单鸣雷), Chang-Ping Zhu(朱昌平), Cheng Yao(姚澄), Cheng Yin(殷澄), Xiao-Yan Jiang(蒋小燕). Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio[J]. Chin. Phys. B, 2016, 25(10): 104701-104701.

参考文献 44

[1]	Brennen C E 2005 Fundamentals of Multiphase Flow (New York: Cambridge University Press) pp. 19-22
[2]	Hashmi A, Yu G, Reilly-Collette M, Heiman G and Xu J 2012 Lab Chip 12 4216
[3]	Azam F I, Karri B, Ohl S W, Klaseboer E and Khoo B C 2013 Phys. Rev. E 88 043006
[4]	Xu Z, Yasuda K and Liu X J 2015 Chin. Phys. B 24 104301
[5]	van Wijngaarden L 2016 Ultrason. Sonochem. 29 524
[6]	Chau S W, Hsu K L, Kouh J S and Chen Y J 2004 J. Mar. Sci. Technol. 8 147
[7]	Cai J, Li X, Liu B and Huai X 2014 Chin. Sci. Bull. 59 1580
[8]	Liu B, Cai J, Huai X L and Li F C 2013 J. Heat Trans-T. ASME 136 022901
[9]	Hsu C Y, Liang C C, Nguyen A T and Teng T L 2014 Ocean. Eng. 81 29
[10]	Zhang A M and Liu Y L 2015 J. Comput. Phys. 294 208
[11]	Samiei E, Shams M and Ebrahimi R 2011 Eur. J. Mech. B-Fluid 30 41
[12]	Sussman M 2003 J. Comput. Phys. 187 110
[13]	He Y L, Wang Y and Li Q 2009 Lattice Boltzmann method: theory and applications (Beijing: Science Press) pp. 1-10 (in Chinese)
[14]	Succi S 2001 The lattice Boltzmann equation for fluid dynamics and beyond (Oxford: Clarendon) pp. 40-50
[15]	Huang H, Sukop M and Lu X 2015 Multiphase Lattice Boltzmann Methods: Theory and Application (Oxford: John Wiley & Sons) pp. 1-3
[16]	Li Q, Luo K H, Kang Q J, He Y L, Chen Q and Liu Q 2016 Prog. Energ. Combust. 52 62
[17]	Xu A G, Zhang G C, Li Y J and Li H 2014 Prog. Phys. 34 136 (in Chinese)
[18]	Chen L, Kang Q, Mu Y, He Y L and Tao W Q 2014 Int. J. Heat Mass. Trans. 76 210
[19]	Chen S Y and Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
[20]	Gunstensen A K, Rothman D H, Zaleski S and Zanetti G 1991 Phys. Rev. A 43 4320
[21]	Shan X W and Chen H D 1993 Phys. Rev. E 47 1815
[22]	Shan X and Chen H 1994 Phys. Rev. E 49 2941
[23]	Swift M R, Osborn W R and Yeomans J M 1995 Phys. Rev. Lett. 75 830
[24]	Swift M R, Orlandini E, Osborn W and Yeomans J 1996 Phys. Rev. E 54 5041
[25]	He X Y, Chen S Y and Zhang R Y 1999 J. Comput. Phys. 152 642
[26]	Sukop M and Or D 2005 Phys. Rev. E 71 046703
[27]	Chen X P, Zhong C W and Yuan X L 2011 Comput. Math. Appl. 61 3577
[28]	Mishra S K, Deymier P A, Muralidharan K, Frantziskonis G, Pannala S and Simunovic S 2010 Ultrason. Sonochem. 17 258
[29]	Daemi M, Taeibi-Rahni M and Massah H 2015 Chin. Phys. B 24 024302
[30]	Kupershtokh A L, Medvedev D A and Karpov D I 2009 Comput. Math. Appl. 58 965
[31]	Huang H B, Krafczyk M and Lu X 2011 Phys. Rev. E 84 046710
[32]	Li Q, Luo K H and Li X J 2012 Phys. Rev. E 86 016709
[33]	Li Q, Luo K H and Li X J 2013 Phys. Rev. E 87 053301
[34]	Xie H Q, Zeng Z and Zhang L Q 2016 Chin. Phys. B 25 014702
[35]	Song B W, Ren F, Hu H B and Huang Q G 2015 Chin. Phys. B 24 014703
[36]	Shan X W 2008 Phys. Rev. E 77 066702
[37]	Sbragaglia M and Shan X W 2011 Phys. Rev. E 84 036703
[38]	Yuan P and Schaefer L 2006 Phys. Fluids 18 042101
[39]	Or D and Tuller M 2002 Water Resour. Res. 38 19
[40]	Plesset M S and Chapman R B 1971 J. Fluid. Mech. 47 283
[41]	Brujan E A, Keen G S, Vogel A and Blake J R 2002 Phys. Fluids 14 85
[42]	Lauer E, Hu X Y, Hickel S and Adams N A 2012 Comput. Fluids 69 1
[43]	Liu B, Cai J and Huai X L 2014 Int. J. Heat Mass. Trans. 78 830
[44]	Ishida H, Nuntadusit C, Kimoto H, Nakagawa T and Yamamoto T 2001 CAV 2001: Fourth International Symposium on Cavitation, June 20-23, 2001, Pasadena, USA, p. A5 003

Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 44

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Pei-Feng Lin(林培锋), Xiao Hu(胡箫), and Jian-Zhong Lin(林建忠). Inertial focusing and rotating characteristics of elliptical and rectangular particle pairs in channel flow[J]. 中国物理B, 2022, 31(8): 80501-080501.
[2]	Peichan Wu(吴锫婵), Yuhan Yan(严妤函), Huan Zhu(朱欢), Juan Shi(施娟), and Zhenqian Chen(陈振乾). Hemodynamics of aneurysm intervention with different stents[J]. 中国物理B, 2022, 31(6): 64701-064701.
[3]	Le Bai(柏乐), Ming-Lei Shan(单鸣雷), Yu Yang(杨雨), Na-Na Su(苏娜娜), Jia-Wen Qian(钱佳文), and Qing-Bang Han(韩庆邦). Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model[J]. 中国物理B, 2022, 31(3): 34701-034701.
[4]	He Wang(王贺), Fang-Bao Tian(田方宝), and Xiang-Dong Liu(刘向东). Lattice Boltzmann model for interface capturing of multiphase flows based on Allen-Cahn equation[J]. 中国物理B, 2022, 31(2): 24701-024701.
[5]	张庆宇, 孙东科, 章顺虎, 王辉, 朱鸣芳. Modeling of microporosity formation and hydrogen concentration evolution during solidification of an Al-Si alloy[J]. 中国物理B, 2020, 29(7): 78104-078104.
[6]	覃章荣, 陈燕雁, 凌风如, 孟令娟, 张超英. A mass-conserved multiphase lattice Boltzmann method based on high-order difference[J]. 中国物理B, 2020, 29(3): 34701-034701.
[7]	左鸿, 邓守春, 李海波. Boundary scheme for lattice Boltzmann modeling of micro-scale gas flow in organic-rich pores considering surface diffusion[J]. 中国物理B, 2019, 28(3): 30202-030202.
[8]	欧阳振宇, 林建忠, 库晓珂. Dynamics of a self-propelled particle under different driving modes in a channel flow[J]. 中国物理B, 2017, 26(1): 14701-014701.
[9]	张庆宇, 孙东科, 张友法, 朱鸣芳. Numerical modeling of condensate droplet on superhydrophobic nanoarrays using the lattice Boltzmann method[J]. 中国物理B, 2016, 25(6): 66401-066401.
[10]	Esmaeil Dehdashti. Development of a new correlation to calculate permeability for flows with high Knudsen number[J]. 中国物理B, 2016, 25(2): 24702-024702.
[11]	谢海琼, 曾忠, 张良奇. Three-dimensional multi-relaxation-time lattice Boltzmann front-tracking method for two-phase flow[J]. 中国物理B, 2016, 25(1): 14702-014702.
[12]	李凯, 钟诚文. A multiple-relaxation-time lattice Boltzmann method for high-speed compressible flows[J]. 中国物理B, 2015, 24(5): 50501-050501.
[13]	宋保维, 任峰, 胡海豹, 黄桥高. Lattice Boltzmann simulation of liquid–vapor system by incorporating a surface tension term[J]. , 2015, 24(1): 14703-014703.
[14]	Vahid Esfahanian, Esmaeil Dehdashti, Amir Mehdi Dehrouye-Semnani. Simulation of fluid-structure interaction in a microchannel using the lattice Boltzmann method and size-dependent beam element on a graphics processing unit[J]. , 2014, 23(8): 84702-084702.
[15]	孙东科, 项楠, 姜迪, 陈科, 易红, 倪中华. Multi-relaxation time lattice Boltzmann simulation of inertial secondary flow in a curved microchannel[J]. 中国物理B, 2013, 22(11): 114704-114704.