多元时间序列复杂网络流型动力学分析

高忠科; 金宁德; 杨丹; 翟路生; 杜萌

doi:10.7498/aps.61.120510

摘要

针对气液两相流流动特性,利用有限元分析方法设计变曲率对壁式电导传感器.采用设计加工的传感器在多相流装置上进行气液两相流动态实验,并测得多组对应于不同流型的电导波动信号. 基于测量数据,采用多元时间序列复杂网络构建算法构建对应于不同流型的复杂网络.在此基础上, 对网络的社团特性进行了分析, 研究发现,不同的社团结构对应于不同的流型,而社团内部网络特征可有效刻画不同流型内在动力学特性.多元时间序列复杂网络分析可为两相流流型演化动力学特性研究及流型识别提供新理论、开拓新途经.

关键词:

Abstract

We use finite element analysis method to optimize and design a new curve half-ring conductance sensor for gas-liquid two-phase flow system. Then we carry out gas-liquid two-phase flow experiment in multiphase flow loop facility, and use the designed sensor to measure multivariate time series corresponding to different flow patterns. According to the measured signals, we construct complex networks from multivariate time series for different flow patterns by a network inference method. Through investigating the community structures of the constructed networks, we find that different communities correspond to different flow patterns and the network statistics in community can be used to effectively characterize the dynamic behavior of different flow patterns. In this regard, our method can be a powerful tool for identifying flow patterns and uncovering the nonlinear dynamics governing the evolution of different flow patterns.

Keywords:

作者及机构信息

1.
天津大学电气与自动化工程学院, 天津 300072

基金项目: 国家自然科学基金(批准号: 61104148, 50974095, 41174109),高等学校博士学科点专项科研基金(批准号:20110032120088)和国家科技重大专项(批准号:2011ZX05020-006)资助的课题.

Authors and contacts

1.
School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61104148, 50974095, 41174109), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110032120088), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05020-006).

参考文献

[1]	Lawkins W F, Daw C S, Downing D J, Jr Clapp N E 1993 Phys. Rev. E 47 2520
[2]	Daw C S, Finney C E A, Vasudevan M, vanGoor N A, Nguyen K, Bruns D D, Kostelich E J, Grebogi C, Ott E, Yorke J A 1995 Phys. Rev. Lett. 75 2308
[3]	Gao Z K, Jin N D 2009 Phy. Rev. E 79 066303
[4]	Watts D J, Strogatz S H 1998 Nature 393 440
[5]	Strogatz S H 2001 Nature 410 268
[6]	Albert R, Barab′asi A L 2002 Rev. Mod. Phys. 74 47
[7]	Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[8]	Pan Z F, Li X, Wang X F 2006 Phys. Rev. E 73 056109
[9]	Huang L, Park K, Lai Y C, Yang L, Yang K Q 2006 Phys. Rev. Lett. 97 164101
[10]	Huang L, Park K, Lai Y C 2006 Phys. Rev. E 73 035103(R)
[11]	Li X G, Gao Z Y, Li K P, Zhao X M 2007 Phys. Rev. E 76 016110
[12]	Pei W D, Chen Z Q, Yuan Z Z 2008 Chin. Phys. B 17 0373
[13]	Zhou J, Lu J A, Lu J H 2008 Automatica 44 996
[14]	Yang R, Wang W X, Lai Y C, Chen G R 2009 Phys. Rev. E 79 026112
[15]	Lu X B, Wang X F, Fang J Q 2010 Physica D 239 341
[16]	Zhou T, Kuscsik Z, Liu J G, Medo M, Wakeling J R, Zhang Y C 2010 Proc. Natl. Acad. Sci. USA 107 4511
[17]	Wang W X, Yang R, Lai Y C, Kovanis V, Grebogi C 2011 Phys. Rev. Lett. 106 154101
[18]	Liu F,Wang H O, Guan Z H 2012 Nonlinear Analysis: Real World Applications 13 1466
[19]	Zhang J, Small M 2006 Phys. Rev. Lett. 96 238701
[20]	Zhou C S, Zemanov L, Zamora G, Hilgetag C C, Kurths J 2006 Phys. Rev. Lett. 97 238103
[21]	Zhang J, Sun J F, Luo S D, Zhang K, Nakamura T, Small M 2008 Physica D 237 2856
[22]	Yang Y, Yang H J 2008 Physica A 387 1381
[23]	Lacasa L, Luque B, Ballesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Sci. USA 105 4972
[24]	Xu X, Zhang J, Small M 2008 Proc. Natl. Acad. Sci. USA 105 19601
[25]	Gao Z K, Jin N D 2009 Chaos 19 033137
[26]	Gao Z K, Jin N D 2012 Nonlinear Analysis: Real World Applications 13 947
[27]	Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 物理学报 56 7330]
[28]	Dong Z, Li X 2010 Acta Phys. Sin. 59 1600 (in Chinese)[董昭, 李翔 2010 物理学报 59 1600]
[29]	Zhou L, Gong Z Q, Zhi R, Feng G L 2009 Acta Phys. Sin. 58 7351[周磊, 龚志强, 支蓉, 封国林 2009 物理学报 58 7351]
[30]	Kramer M A, Eden U T, Cash S S, Kolaczyk E D 2009 Phys. Rev. E 79 061916
[31]	Zhang J, Zhang K, Feng J F, Small M 2010 PLoS Comput. Biol. 6 e1001033
[32]	Liu C, Zhou W, Yuan W 2010 Physica A 389 2675
[33]	Shao Z G 2010 Appl. Phys. Lett. 96 073703
[34]	Donner R V, Heitzig J, Donges J F, Zou Y, Marwan N, Kurths J 2011 Eur. Phys. J. B 84 653
[35]	Xie W J, Zhou W X 2011 Physica A 390 3592
[36]	Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta phys. Sin. 61 029202 (in Chinese)[龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 物理学报 61 029202]
[37]	Xiang R X, Zhang J, Xu X K, Small M 2012 Chaos 22 013107
[38]	Gao Z K, Jin N D 2009 Chin. Phys. B 18 5249
[39]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phy. Rev. E 82 016210
[40]	Gao Z K, Jin N D 2011 Chem. Eng. Sci. 66 2660
[41]	Gao Z K, Jin N D 2012 Physica A 391 3005
[42]	Benjamini Y, Yekutieli D 2001 Ann. Statist. 29 1165
[43]	Kamada T, Kawai S 1989 Inform. Process. Lett. 31 7
[44]	Borgatti S P, EverettMG, Freeman L C 2002 Ucinet forWindows: Software for social network analysis, Harvard Analytic Technologies
[45]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phys. Lett. A 374 4014

施引文献

[1]	Lawkins W F, Daw C S, Downing D J, Jr Clapp N E 1993 Phys. Rev. E 47 2520
[2]	Daw C S, Finney C E A, Vasudevan M, vanGoor N A, Nguyen K, Bruns D D, Kostelich E J, Grebogi C, Ott E, Yorke J A 1995 Phys. Rev. Lett. 75 2308
[3]	Gao Z K, Jin N D 2009 Phy. Rev. E 79 066303
[4]	Watts D J, Strogatz S H 1998 Nature 393 440
[5]	Strogatz S H 2001 Nature 410 268
[6]	Albert R, Barab′asi A L 2002 Rev. Mod. Phys. 74 47
[7]	Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[8]	Pan Z F, Li X, Wang X F 2006 Phys. Rev. E 73 056109
[9]	Huang L, Park K, Lai Y C, Yang L, Yang K Q 2006 Phys. Rev. Lett. 97 164101
[10]	Huang L, Park K, Lai Y C 2006 Phys. Rev. E 73 035103(R)
[11]	Li X G, Gao Z Y, Li K P, Zhao X M 2007 Phys. Rev. E 76 016110
[12]	Pei W D, Chen Z Q, Yuan Z Z 2008 Chin. Phys. B 17 0373
[13]	Zhou J, Lu J A, Lu J H 2008 Automatica 44 996
[14]	Yang R, Wang W X, Lai Y C, Chen G R 2009 Phys. Rev. E 79 026112
[15]	Lu X B, Wang X F, Fang J Q 2010 Physica D 239 341
[16]	Zhou T, Kuscsik Z, Liu J G, Medo M, Wakeling J R, Zhang Y C 2010 Proc. Natl. Acad. Sci. USA 107 4511
[17]	Wang W X, Yang R, Lai Y C, Kovanis V, Grebogi C 2011 Phys. Rev. Lett. 106 154101
[18]	Liu F,Wang H O, Guan Z H 2012 Nonlinear Analysis: Real World Applications 13 1466
[19]	Zhang J, Small M 2006 Phys. Rev. Lett. 96 238701
[20]	Zhou C S, Zemanov L, Zamora G, Hilgetag C C, Kurths J 2006 Phys. Rev. Lett. 97 238103
[21]	Zhang J, Sun J F, Luo S D, Zhang K, Nakamura T, Small M 2008 Physica D 237 2856
[22]	Yang Y, Yang H J 2008 Physica A 387 1381
[23]	Lacasa L, Luque B, Ballesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Sci. USA 105 4972
[24]	Xu X, Zhang J, Small M 2008 Proc. Natl. Acad. Sci. USA 105 19601
[25]	Gao Z K, Jin N D 2009 Chaos 19 033137
[26]	Gao Z K, Jin N D 2012 Nonlinear Analysis: Real World Applications 13 947
[27]	Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 物理学报 56 7330]
[28]	Dong Z, Li X 2010 Acta Phys. Sin. 59 1600 (in Chinese)[董昭, 李翔 2010 物理学报 59 1600]
[29]	Zhou L, Gong Z Q, Zhi R, Feng G L 2009 Acta Phys. Sin. 58 7351[周磊, 龚志强, 支蓉, 封国林 2009 物理学报 58 7351]
[30]	Kramer M A, Eden U T, Cash S S, Kolaczyk E D 2009 Phys. Rev. E 79 061916
[31]	Zhang J, Zhang K, Feng J F, Small M 2010 PLoS Comput. Biol. 6 e1001033
[32]	Liu C, Zhou W, Yuan W 2010 Physica A 389 2675
[33]	Shao Z G 2010 Appl. Phys. Lett. 96 073703
[34]	Donner R V, Heitzig J, Donges J F, Zou Y, Marwan N, Kurths J 2011 Eur. Phys. J. B 84 653
[35]	Xie W J, Zhou W X 2011 Physica A 390 3592
[36]	Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta phys. Sin. 61 029202 (in Chinese)[龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 物理学报 61 029202]
[37]	Xiang R X, Zhang J, Xu X K, Small M 2012 Chaos 22 013107
[38]	Gao Z K, Jin N D 2009 Chin. Phys. B 18 5249
[39]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phy. Rev. E 82 016210
[40]	Gao Z K, Jin N D 2011 Chem. Eng. Sci. 66 2660
[41]	Gao Z K, Jin N D 2012 Physica A 391 3005
[42]	Benjamini Y, Yekutieli D 2001 Ann. Statist. 29 1165
[43]	Kamada T, Kawai S 1989 Inform. Process. Lett. 31 7
[44]	Borgatti S P, EverettMG, Freeman L C 2002 Ucinet forWindows: Software for social network analysis, Harvard Analytic Technologies
[45]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phys. Lett. A 374 4014

[1]	谷靖萱, 郑庭, 郭明帅, 夏冬生, 张会臣. 计入粗糙峰的微纳结构表面水润滑流体动力学仿真. 物理学报, 2024, 73(11): 114601. doi: 10.7498/aps.73.20240333
[2]	沈力峰, 王建波, 杜占玮, 许小可. 基于社团结构和活跃性驱动的双层网络传播动力学. 物理学报, 2023, 72(6): 068701. doi: 10.7498/aps.72.20222206
[3]	彭旭, 李斌, 王顺尧, 饶国宁, 陈网桦. 激波冲击作用下液膜破碎的气液两相流. 物理学报, 2020, 69(24): 244702. doi: 10.7498/aps.69.20201051
[4]	翟路生, 金宁德. 小管径气液两相流空隙率波传播的多尺度相关性. 物理学报, 2016, 65(1): 010501. doi: 10.7498/aps.65.010501
[5]	陈平, 杜亚威, 薛友林. 垂直气液两相流混沌吸引子单元面积分析. 物理学报, 2016, 65(3): 034701. doi: 10.7498/aps.65.034701
[6]	苏晓萍, 宋玉蓉. 利用邻域“结构洞”寻找社会网络中最具影响力节点. 物理学报, 2015, 64(2): 020101. doi: 10.7498/aps.64.020101
[7]	冒晓莉, 肖韶荣, 刘清惓, 李敏, 张加宏. 探空湿度测量太阳辐射误差修正流体动力学研究. 物理学报, 2014, 63(14): 144701. doi: 10.7498/aps.63.144701
[8]	王兴元, 赵仲祥. 基于节点间依赖度的社团结构划分方法. 物理学报, 2014, 63(17): 178901. doi: 10.7498/aps.63.178901
[9]	蒋亦民, 刘佑. 水-气-颗粒固体三相混合系统的流体动力学. 物理学报, 2013, 62(20): 204501. doi: 10.7498/aps.62.204501
[10]	杨浦, 郑志刚. 基于动力学同步的复杂网络结构识别速度研究. 物理学报, 2012, 61(12): 120508. doi: 10.7498/aps.61.120508
[11]	袁超, 柴毅. 基于簇相似度的网络社团结构探测算法. 物理学报, 2012, 61(21): 218901. doi: 10.7498/aps.61.218901
[12]	张聪, 沈惠璋, 李峰, 杨何群. 复杂网络中社团结构发现的多分辨率密度模块度. 物理学报, 2012, 61(14): 148902. doi: 10.7498/aps.61.148902
[13]	崔爱香, 傅彦, 尚明生, 陈端兵, 周涛. 复杂网络局部结构的涌现:共同邻居驱动网络演化. 物理学报, 2011, 60(3): 038901. doi: 10.7498/aps.60.038901
[14]	孙斌, 王二朋, 郑永军. 气液两相流波动信号的时频谱分析研究. 物理学报, 2011, 60(1): 014701. doi: 10.7498/aps.60.014701
[15]	邵斐, 蒋国平. 基于社团结构的负载传输优化策略研究. 物理学报, 2011, 60(7): 078902. doi: 10.7498/aps.60.078902
[16]	沈毅, 徐焕良. 加权网络权重自相似评判函数及其社团结构检测. 物理学报, 2010, 59(9): 6022-6028. doi: 10.7498/aps.59.6022
[17]	王高峡, 沈轶. 网络的模块矩阵及其社团结构指标. 物理学报, 2010, 59(2): 842-850. doi: 10.7498/aps.59.842
[18]	郑桂波, 金宁德. 两相流流型多尺度熵及动力学特性分析. 物理学报, 2009, 58(7): 4485-4492. doi: 10.7498/aps.58.4485
[19]	高忠科, 金宁德. 两相流流型复杂网络社团结构及其统计特性. 物理学报, 2008, 57(11): 6909-6920. doi: 10.7498/aps.57.6909
[20]	金宁德, 董芳, 赵舒. 气液两相流电导波动信号复杂性测度分析及其流型表征. 物理学报, 2007, 56(2): 720-729. doi: 10.7498/aps.56.720

计量

文章访问数: 8046
PDF下载量: 1258
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