任意复杂流-固边界的格子Boltzmann处理方法

史冬岩; 王志凯; 张阿漫

doi:10.7498/aps.63.074703

摘要

本文提出了一种适用于流固耦合领域中任意复杂边界条件的lattice Boltzmann处理方法. 该方法基于half-way反弹模型，在流固耦合处构建了一层虚拟边界，并结合有限差分的方法，获取虚拟边界上的变量值. 改进后的方法确保了粒子反弹位置与宏观速度采集点的位置相同，计入了实际物理边界与网格线不重合时，偏移量对计算结果的准确影响，而且其适用范围被扩展到了任意静止或运动、平直或弯曲的复杂边界. 文中研究了该方法在Poiseuille流、圆柱绕流和Couette流等经典条件下的边界处理能力，结果表明该方法与理论值符合良好，且当实际物理边界与网格线不重合时，与已发表文献中的结果相比，具有更高的精度.

关键词:

Abstract

A suitable arbitrarily complex boundary condition treatment using the lattice Boltzmann sheme is developed in the fluid-solid coupling field. The new method is based on a half-way bounce back model. A virtual boundary layer is built with the fluid-solid coupling, and all the properties used on the virtual boundary are inter-/extrapolated from the surrounding nodes combining with the finite difference method. The improved method ensures that the particles bounce the same location as that of the macro-speed sampling point, and considers the offset effect on the accuracy of the calculated results when the actual physical borders and the grid lines do not coincide. And its scope is extended to any static or mobile, straight or curved boundary. The processing power of the method under the classic conditions, such as the Poiseuille flow, the flow around a circular cylinder, the Couette flow, etc. is studied. Results prove that the theoretically calculated values agree well with the experimental data. Compared with the results published in the literature, this method has a greater precision when the actual physical borders and gridlines do not coincide.

Keywords:

作者及机构信息

1.
哈尔滨工程大学机电工程学院, 哈尔滨 150001;

2.
哈尔滨工程大学船舶工程学院, 哈尔滨 150001

基金项目: 中组部青年拔尖人才支持计划，新世纪优秀人才支持计划（批准号：NCET100054）和国防基础科研计划（批准号：B2420133001）资助的课题.

Authors and contacts

1.
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China;

2.
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China

Funds: Project supported by the Department Youth Tip-top Talent Support Programme, the Program for New Century Excellent Talents in University of Ministry Education of China(Grant No. NCET100054), and the National Defense Basic Scientific Research program of China(Grant No. B2420133001).

参考文献

[1]	Chen S Y, Doolen G D 1998 Annu RevFluid Mech 30 329
[2]	Guo Y L, Xu H H, Shen S Q, Wei L 2013 Acta Phys. Sin. 62 144704 (in Chinese)[郭亚丽, 徐鹤函, 沈胜强, 魏兰2013 62 144704]
[3]	QianY H, Humières D D, Lallemand P 1992 Europhys. Lett. 17 479
[4]	He X Y, Luo L S 1997 Phys. Rev. E 56 6811
[5]	Mcnamara G R, Zanetti G 1988 Phys. Rev. Lett. 61 2332
[6]	Chen S Y, Martinez D, Ren W M 1996 Phys. Fluids 8 2527
[7]	Wen B H, Liu H Y, Zhang C Y, Wang Q 2009 Chin. Phys. B 18 4353
[8]	Ni B Y, Zhang A M, Wang Q X, Wang B 2012 Acta Mech. Sin. 28 1248
[9]	Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮2008 57 339]
[10]	Liu Y L, Zhang A M, Wang S P, Tian S L 2013 Acta Phys. Sin. 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽2013 62 144703]
[11]	Zhang A M, Yao X L 2008 Chin. Phys. B 17 0927
[12]	Shan X W, Chen H D 1994 Phys. Rev. E 49 2941
[13]	Zhang R Y, He X Y, Chen S Y 2000 Comput. Phys. Commu. 129 121
[14]	Xie H Q, Zeng Z, Zhang L Q, Liang G Y, Hiroshi M, Yoshiyuki K 2012 Chin. Phys. B 21 124703
[15]	Cheng M, Hua J S, Lou J 2010 Comput. Fluids 39 260
[16]	Xu Y, Liu Y, Xia Y, Wu F 2008 Phys. Rev. E 78 046314
[17]	Zeng J B, Li L J, Liao Q, Jiang F M 2011 Acta Phys. Sin. 60 066401 (in Chinese)[曾建邦, 李隆键, 廖全, 蒋方明2011 60 066401]
[18]	Shu C, Wu J 2009 Modern Phys. Lett. B 23 261
[19]	Mao W, Guo Z L, Wang L 2013 Acta Phys. Sin. 62 084703 (in Chinese) [毛威, 郭照立, 王亮2013 62 084703]
[20]	Noble D R, Chen S Y, Georgiadis J G, Buckius R O 1995 Phys. Fluids 7 203
[21]	He X Y, Zou Q S, Luo LS, Dembo M 1997 J. Stat. Phys. 87 115
[22]	Guo Z L, Zheng C G 2009 Theory and Applications of Lattice Boltzmann Method (Vol. 1)(Beijin g:Academic Press of China) p62 (in Chinese)[郭照立, 郑楚光2009 格子Boltzmann 方法的原理及应用(第一版) (北京: 科技出版社) 第62 页]
[23]	Ladd A J C 1994 J. Fluid Mech. 271 285
[24]	Yin X W, Zhang J F 2012 J. Comput. Phys. 231 4295
[25]	Guo Z L, Zheng C G, Shi B C 2002 Phys. Fluids 14 2007
[26]	Sterling J D, Chen S Y 1996 J. Comput. Phys. 123 196
[27]	Bouzidi M, Firdaouss M, Lallemand P 2001 Phys. Fluids 13 3452
[28]	Bhatnagar P L, Gross E P, Krook M 1954 Phys. Rev. 94 511
[29]	Feng S D, Zhao Y, Gao X L, Ji Z Z 2002 Chinese Phys. Lett. 19 814
[30]	Nishida H, Meichin Y 2012 Seventh International Conference on Computational Fluid Dynamics Big Island, Hawaii, July 9-13 1306
[31]	He X Y, Doolen G D 1997 Phys. Rev. E 56 434
[32]	Braza M, Chassaing P, Minh H H 1986 J. Fluid Mech. 165 79
[33]	Tritton D 1959 J. Fluid Mech. 6 547
[34]	Liu C, Zheng X, Sung C H 1998 J. Comput. Phys. 139 35
[35]	Gerrard J H 1978 Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 288 351
[36]	Hammache M, Gharib M 1989 Phys. Fluids A: Fluid Dynamics 1 1611

施引文献

[1]	Chen S Y, Doolen G D 1998 Annu RevFluid Mech 30 329
[2]	Guo Y L, Xu H H, Shen S Q, Wei L 2013 Acta Phys. Sin. 62 144704 (in Chinese)[郭亚丽, 徐鹤函, 沈胜强, 魏兰2013 62 144704]
[3]	QianY H, Humières D D, Lallemand P 1992 Europhys. Lett. 17 479
[4]	He X Y, Luo L S 1997 Phys. Rev. E 56 6811
[5]	Mcnamara G R, Zanetti G 1988 Phys. Rev. Lett. 61 2332
[6]	Chen S Y, Martinez D, Ren W M 1996 Phys. Fluids 8 2527
[7]	Wen B H, Liu H Y, Zhang C Y, Wang Q 2009 Chin. Phys. B 18 4353
[8]	Ni B Y, Zhang A M, Wang Q X, Wang B 2012 Acta Mech. Sin. 28 1248
[9]	Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮2008 57 339]
[10]	Liu Y L, Zhang A M, Wang S P, Tian S L 2013 Acta Phys. Sin. 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽2013 62 144703]
[11]	Zhang A M, Yao X L 2008 Chin. Phys. B 17 0927
[12]	Shan X W, Chen H D 1994 Phys. Rev. E 49 2941
[13]	Zhang R Y, He X Y, Chen S Y 2000 Comput. Phys. Commu. 129 121
[14]	Xie H Q, Zeng Z, Zhang L Q, Liang G Y, Hiroshi M, Yoshiyuki K 2012 Chin. Phys. B 21 124703
[15]	Cheng M, Hua J S, Lou J 2010 Comput. Fluids 39 260
[16]	Xu Y, Liu Y, Xia Y, Wu F 2008 Phys. Rev. E 78 046314
[17]	Zeng J B, Li L J, Liao Q, Jiang F M 2011 Acta Phys. Sin. 60 066401 (in Chinese)[曾建邦, 李隆键, 廖全, 蒋方明2011 60 066401]
[18]	Shu C, Wu J 2009 Modern Phys. Lett. B 23 261
[19]	Mao W, Guo Z L, Wang L 2013 Acta Phys. Sin. 62 084703 (in Chinese) [毛威, 郭照立, 王亮2013 62 084703]
[20]	Noble D R, Chen S Y, Georgiadis J G, Buckius R O 1995 Phys. Fluids 7 203
[21]	He X Y, Zou Q S, Luo LS, Dembo M 1997 J. Stat. Phys. 87 115
[22]	Guo Z L, Zheng C G 2009 Theory and Applications of Lattice Boltzmann Method (Vol. 1)(Beijin g:Academic Press of China) p62 (in Chinese)[郭照立, 郑楚光2009 格子Boltzmann 方法的原理及应用(第一版) (北京: 科技出版社) 第62 页]
[23]	Ladd A J C 1994 J. Fluid Mech. 271 285
[24]	Yin X W, Zhang J F 2012 J. Comput. Phys. 231 4295
[25]	Guo Z L, Zheng C G, Shi B C 2002 Phys. Fluids 14 2007
[26]	Sterling J D, Chen S Y 1996 J. Comput. Phys. 123 196
[27]	Bouzidi M, Firdaouss M, Lallemand P 2001 Phys. Fluids 13 3452
[28]	Bhatnagar P L, Gross E P, Krook M 1954 Phys. Rev. 94 511
[29]	Feng S D, Zhao Y, Gao X L, Ji Z Z 2002 Chinese Phys. Lett. 19 814
[30]	Nishida H, Meichin Y 2012 Seventh International Conference on Computational Fluid Dynamics Big Island, Hawaii, July 9-13 1306
[31]	He X Y, Doolen G D 1997 Phys. Rev. E 56 434
[32]	Braza M, Chassaing P, Minh H H 1986 J. Fluid Mech. 165 79
[33]	Tritton D 1959 J. Fluid Mech. 6 547
[34]	Liu C, Zheng X, Sung C H 1998 J. Comput. Phys. 139 35
[35]	Gerrard J H 1978 Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 288 351
[36]	Hammache M, Gharib M 1989 Phys. Fluids A: Fluid Dynamics 1 1611

[1]	赖瑶瑶, 陈鑫梦, 柴振华, 施保昌. 基于格子Boltzmann方法的钉扎螺旋波反馈控制. , 2024, 73(4): 040502. doi: 10.7498/aps.73.20231549
[2]	于博文, 何孝天, 徐进良. 超临界CO₂池式传热流固耦合传热特性数值模拟. , 2024, 73(10): 104401. doi: 10.7498/aps.73.20231953
[3]	陈百慧, 施保昌, 汪垒, 柴振华. 基于GPU的二维梯形空腔流的格子Boltzmann模拟与分析. , 2023, 72(15): 154701. doi: 10.7498/aps.72.20230430
[4]	马聪, 刘斌, 梁宏. 耦合界面张力的三维流体界面不稳定性的格子Boltzmann模拟. , 2022, 71(4): 044701. doi: 10.7498/aps.71.20212061
[5]	胡兵, 郁殿龙, 刘江伟, 朱付磊, 张振方. 流固耦合声子晶体管路冲击振动特性研究. , 2020, 69(19): 194301. doi: 10.7498/aps.69.20200414
[6]	胡嘉懿, 张文欢, 柴振华, 施保昌, 汪一航. 三维不可压缩流的12速多松弛格子Boltzmann模型. , 2019, 68(23): 234701. doi: 10.7498/aps.68.20190984
[7]	李洋, 苏婷, 梁宏, 徐江荣. 耦合界面力的两相流相场格子Boltzmann模型. , 2018, 67(22): 224701. doi: 10.7498/aps.67.20181230
[8]	顾娟, 黄荣宗, 刘振宇, 吴慧英. 一种滑移区气体流动的格子Boltzmann曲边界处理新格式. , 2017, 66(11): 114701. doi: 10.7498/aps.66.114701
[9]	吴晓笛, 刘华坪, 陈浮. 基于浸入边界-多松弛时间格子玻尔兹曼通量求解法的流固耦合算法研究. , 2017, 66(22): 224702. doi: 10.7498/aps.66.224702
[10]	解文军, 滕鹏飞. 声悬浮过程的格子Boltzmann方法研究. , 2014, 63(16): 164301. doi: 10.7498/aps.63.164301
[11]	陶实, 王亮, 郭照立. 微尺度振荡Couette流的格子Boltzmann模拟. , 2014, 63(21): 214703. doi: 10.7498/aps.63.214703
[12]	刘邱祖, 寇子明, 贾月梅, 吴娟, 韩振南, 张倩倩. 改性疏水固壁润湿性反转现象的格子Boltzmann方法模拟. , 2014, 63(10): 104701. doi: 10.7498/aps.63.104701
[13]	曾建邦, 李隆键, 蒋方明. 气泡成核过程的格子Boltzmann方法模拟. , 2013, 62(17): 176401. doi: 10.7498/aps.62.176401
[14]	刘邱祖, 寇子明, 韩振南, 高贵军. 基于格子Boltzmann方法的液滴沿固壁铺展动态过程模拟. , 2013, 62(23): 234701. doi: 10.7498/aps.62.234701
[15]	孙东科, 项楠, 陈科, 倪中华. 格子玻尔兹曼方法模拟弯流道中粒子的惯性迁移行为. , 2013, 62(2): 024703. doi: 10.7498/aps.62.024703
[16]	苏进, 欧阳洁, 王晓东. 耦合不可压流场输运方程的格子Boltzmann方法研究. , 2012, 61(10): 104702. doi: 10.7498/aps.61.104702
[17]	曾建邦, 李隆键, 廖全, 陈清华, 崔文智, 潘良明. 格子Boltzmann方法在相变过程中的应用. , 2010, 59(1): 178-185. doi: 10.7498/aps.59.178
[18]	卢玉华, 詹杰民. 三维方腔温盐双扩散的格子Boltzmann方法数值模拟. , 2006, 55(9): 4774-4782. doi: 10.7498/aps.55.4774
[19]	李华兵, 黄乒花, 刘慕仁, 孔令江. 用格子Boltzmann方法模拟MKDV方程. , 2001, 50(5): 837-840. doi: 10.7498/aps.50.837
[20]	吕晓阳, 李华兵. 用格子Boltzmann方法模拟高雷诺数下的热空腔黏性流. , 2001, 50(3): 422-427. doi: 10.7498/aps.50.422

计量

文章访问数: 6651
PDF下载量: 1408
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板