柔性丝线与下游圆柱相互作用的二维数值模拟研究

周凯, 陈维山

周凯, 陈维山. 柔性丝线与下游圆柱相互作用的二维数值模拟研究[J]. 工程力学, 2015, 32(12): 40-48. DOI: 10.6052/j.issn.1000-4750.2014.05.0434
引用本文: 周凯, 陈维山. 柔性丝线与下游圆柱相互作用的二维数值模拟研究[J]. 工程力学, 2015, 32(12): 40-48. DOI: 10.6052/j.issn.1000-4750.2014.05.0434
ZHOU Kai, CHEN Wei-shan. TWO-DIMENSIONAL NUMERICAL SIMULATION OF INTERACTION BETWEEN A FLEXIBLE FILAMENT AND A DOWNSTREAM CYLINDER[J]. Engineering Mechanics, 2015, 32(12): 40-48. DOI: 10.6052/j.issn.1000-4750.2014.05.0434
Citation: ZHOU Kai, CHEN Wei-shan. TWO-DIMENSIONAL NUMERICAL SIMULATION OF INTERACTION BETWEEN A FLEXIBLE FILAMENT AND A DOWNSTREAM CYLINDER[J]. Engineering Mechanics, 2015, 32(12): 40-48. DOI: 10.6052/j.issn.1000-4750.2014.05.0434

柔性丝线与下游圆柱相互作用的二维数值模拟研究

基金项目: 国家自然科学基金项目(50905040); 哈尔滨工业大学机器人技术与系统国家重点实验室自主研究课题项目(SKLRS200801C)
详细信息
    作者简介:

    周凯(1987―),男,山东人,博士生,从事仿生机器人技术和流体数值仿真研究(E-mail: hitzhoukai@163.com).

    通讯作者:

    陈维山(1965―),男,河北人,教授,博士,博导,从事仿生机器人技术和压电超声驱动技术研究(E-mail: cws@hit.edu.cn);

TWO-DIMENSIONAL NUMERICAL SIMULATION OF INTERACTION BETWEEN A FLEXIBLE FILAMENT AND A DOWNSTREAM CYLINDER

  • 摘要: 基于格子 Boltzmann 方法和沉浸边界法,首先对柔性丝线在均匀来流中的周期性摆动和圆柱绕流进行了二维数值模拟,并将模拟结果已有研究成果进行了对比分析。为提高计算效率和计算精度,采用了多块网格耦合算法,并在圆柱曲边界处采用了较为精确的边界处理方法。通过分析柔性丝线的升阻力系数和末端位移,研究了丝线与下游圆柱间距对丝线摆动和尾流特征的影响,并讨论了雷诺数和柔性丝线质量比对结果的影响。通过数值模拟结果得出:下游刚体的存在对柔性丝线有明显的减阻效果;在一定的参数范围内,由于粘滞作用和涡的相互作用,丝线末端的摆动幅值随间距增大相继出现了减小和变大的现象;雷诺数的增大可以增强丝线运动,而丝线质量比起到了不稳定作用。
    Abstract: The problems of the two-dimensional flow pasting a flexible filament and a cylinder are investigated using lattice Boltzmann method and immersed boundary method, and then the numerical results are compared with the results of previous research. To improve computational efficiency and accuracy, multi-block strategy is developed, and boundary treatment method is adopted at the boundary of cylinder. The lift and drag coefficients of filament are analyzed, and then the influence of spacing between filament and cylinder on the wake characteristics and flapping situation of filament is investigated. Furthermore, the effects of Reynolds number and flexible filament quality ratio are discussed. The drag reduction of filament is remarkable because of the downstream cylinder. Within a reasonable parameter range, the displacement of tail decreases and then increases, due to the viscous effects and the interaction of vortices. Increase of Reynolds number can enhance the movements of filament, and the quality ratio demonstrates a role of instability.
  • [1] Chen S, Doolen G D. Lattice boltzmann method for fluid flows [J]. Annual Review of Fluid Mechanics, 1998, 30(1): 329―364.
    [2] Zhang J, Childress S, Libchaber A, et al. Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind [J]. Nature, 2000, 408(6814): 835―838.
    [3] Sawada T, Hisada T. Fluid-structure interaction analysis of a two-dimensional flag-in-wind problem by the ALE finite element method [J]. JSME Intemational Journal, Series A, 2006, 49(2): 170―179.
    [4] Connell B S H, Yue D K P. Flapping dynamics of a flag in a uniform stream [J]. Journal of Fluid Mechanics, 2007, 581: 33―67.
    [5] Jia L B, Yin X Z. Passive oscillations of two tandem flexible filaments in a flowing soap film [J]. Physics Review Letters, 2008, 100(22): 228104.
    [6] Alben S. On the swimming of a flexible body in a vortex street [J]. Journal of Fluid Mechanics, 2009, 635: 27―45.
    [7] Alben S. Simulating the dynamics of flexible bodies and vortex sheets [J]. Journal of Computational Physics, 2009, 228(7): 2587―2603.
    [8] Alben S. Wake-mediated synchronization and drafting in coupled flags [J]. Journal of Computational Physics, 2009, 641: 489―496.
    [9] 毕继红, 任洪鹏, 丁代伟, 于会超. 串列双圆柱静止绕流的二维数值仿真分析[J]. 工程力学, 2012, 29(增刊I): 8―11, 19. Bi Jihong, Ren Hongpeng, Ding Daiwei, Yu Huichao. Two-dimensional numerical simulation of static flow interference between two circular cylinders in tandem [J]. Engineering Mechanics, 2012, 29(Suppl I): 8―11, 19. (in Chinese)
    [10] Huang W X, Shin S J, Sung H J. Simulation of flexible filaments in a uniform flow by the immersed boundary method [J]. Journal of Computational Physics, 2007, 226(2): 2206―2228.
    [11] Goldstein D, Handler R, Sirovich L. Modeling a no-slip flow boundary with an external force field [J]. Journal of Computational Physics, 1993, 105(2): 354―366.
    [12] Peskin CS. The immersed boundary method [J]. Acta Numerica, 2002, 11: 479―517.
    [13] Guo Z L, Zheng C G, Shi B C. An extrapolation method for boundary conditions in lattice Boltzmann method [J]. Physics of Fluids, 2002, 14(6): 2007―2010.
    [14] 龚帅, 郭照立. 流向振荡圆柱绕流的格子Boltzmann方法模拟[J]. 力学学报, 2011, 43(1): 11―17. Gong Shuai, Guo Zhaoli. Lattice Boltzmann simulation of the flow around a circular cylinder oscillating streamwisely [J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(1): 11―17. (in Chinese)
    [15] Yu D, Mei R, Shyy W. A multi-block lattice Boltzmann method for viscous fluid flows [J]. International Journal for Numerical Methods in Fluids, 2002, 39(2): 99―120.
    [16] Chan C T, Anastasiou K. Solution of incompressible flows with or without a free surface using the finite volume method on unstructured triangular meshes [J]. International Journal for Numerical Methods in Fluids, 1995, 29(1): 35―57.
    [17] Lecointe Y, Piquet J. On the use of several compact methods for the study of unsteady incompressible viscous flow round a circular cylinder [J]. Computers & Fluids, 1984, 12(4): 255―280.
    [18] Rosenfeld M, Kwak D, Vinokur M. A solution method for the unsteady and in compressible Navier-Stokes equations in generalized coordinate systems [R]. AIAA Paper 88-0718, 1988.
    [19] Zhu L, Peskin C S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method [J]. Journal of Computational Physics, 2002, 179(2): 452―468
    [20] 田方宝. 模拟生物运动的流固耦合数值研究[D]. 合肥: 中国科学技术大学, 2011. Tian Fangbao. Numerical investigation of bio-inspired flow-structure interaction [D]. Hefei: University of Science and Technology of China, 2011. (in Chinese)
    [21] Tian F B, Luo H, Zhu L, et al. Interaction between a flexible filament and a downstream rigid body [J]. Physical Review E, 2010, 82(2): 026301.
    [22] 王思莹. 柔性体与流体耦合运动的数值模拟和实验研究[D]. 合肥: 中国科学技术大学, 2010. Wang Siying. Numerical and experimental investigation on the interaction between moving fluid and flexible bodies [D]. Hefei: University of Science and Technology of China, 2010. (in Chinese)
  • 期刊类型引用(0)

    其他类型引用(1)

计量
  • 文章访问数:  262
  • HTML全文浏览量:  12
  • PDF下载量:  69
  • 被引次数: 1
出版历程
  • 收稿日期:  2014-05-22
  • 刊出日期:  2015-12-24

目录

    /

    返回文章
    返回