YANG Ming, LIU Jubao, YUE Qianbei, DING Yuqi, YAO Liming. Numerical Simulation of Fluid-Solid Coupling Collision Based on the Finite Element Immersed Boundary Method[J]. Applied Mathematics and Mechanics, 2019, 40(8): 880-892. doi: 10.21656/1000-0887.400053
Citation: YANG Ming, LIU Jubao, YUE Qianbei, DING Yuqi, YAO Liming. Numerical Simulation of Fluid-Solid Coupling Collision Based on the Finite Element Immersed Boundary Method[J]. Applied Mathematics and Mechanics, 2019, 40(8): 880-892. doi: 10.21656/1000-0887.400053

Numerical Simulation of Fluid-Solid Coupling Collision Based on the Finite Element Immersed Boundary Method

doi: 10.21656/1000-0887.400053
Funds:  The National Natural Science Foundation of China(51604080;11502051)
  • Received Date: 2019-02-18
  • Rev Recd Date: 2019-03-24
  • Publish Date: 2019-08-01
  • A direct numerical simulation method was developed for solid-solid collision in fluid. The sharp interface immersed boundary method was used to simulate the dynamic boundary problems in fluids, which avoids the negative volume error in the body-conforming mesh method. The finite element method based on the penalty function was used to simulate the motion and collision of the solids. The coupling solution of the fluid domain and the solid domain was realized in the partitioned coupling approach. Comparison of the experimental data of normal collision and oblique collision between spherical particles and the wall verifies the validity of the numerical simulation method. The variation of the flow field before and after the collision was obtained. The contact force and stress in the solid domain were also got with the numerical simulation method. This model is applicable to fluid-flow environments such as the abrasion of solid particles on pipes, the fluid-induced collision between ocean risers, the impact of falling objects on submarine pipelines and so on.
  • loading
  • [1]
    FABIAN D, RAUL G, SRINIVASAN N. Arbitrary Lagrangian-Eulerian method for Navier-Stokes equations with moving boundaries[J]. Computer Methods in Applied Mechanics and Engineering,2004,193(45/47): 4819-4836.
    [2]
    PESKIN C S. Flow patterns around heart valves: a numerical method[J]. Journal of Computational Physics,1972,10(2): 252-271.
    [3]
    GLOWINSKI R, PAN T W, HESLA T I, et al. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow[J]. Journal of Computational Physics,2001,169(2): 363-426.
    [4]
    PESKTH C S. The immersed boundary method[J]. Acta Numerica,2002,11: 479-517.
    [5]
    MITTAL R, IACCARINO G. Immersed boundary methods[J]. Annual Review of Fluid Mechanics,2005,37: 239-261.
    [6]
    UDAYKUMAR H S, MITTAL R, SHYY W. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids[J]. Journal of Computational Physics,1999,153(2): 535-574.
    [7]
    LE D V, KHOO B C, PERAIRE J. An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries[J]. Journal of Computational Physics,2006,220(1): 109-138.
    [8]
    GILMANOV A, SOTIROPOULOS F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies[J]. Journal of Computational Physics,2005,207(2): 457-492.
    [9]
    王文全, 梁林, 闫妍. 基于投影浸入边界法的流固耦合计算模型[J]. 北京工业大学学报, 2014,40(6): 819-824.(WANG Wenquan, LIANG Lin, YAN Yan. Numerical investigation of fluid-structure interaction using projected immersed boundary method[J]. Journal of Beijing University of Technology,2014,40(6): 819-824.(in Chinese))
    [10]
    宫兆新. 浸入边界法及其在细胞力学中的应用[D]. 博士学位论文. 上海: 上海交通大学, 2010.(GONG Zhaoxin. Research on the immersed boundary method and its application on cell mechanics[D]. PhD Thesis. Shanghai: Shanghai Jiao Tong University, 2010.(in Chinese))
    [11]
    郝栋伟, 王文全. 某型仿生鱼自主直线巡游速度的影响因素研究[J]. 应用数学和力学, 2014,35(6): 674-683.(HAO Dongwei, WANG Wenquan. Parametric study on the straight-line cruising velocity of an auto-swimming robotic fish[J]. Applied Mathematics and Mechanics,2014,35(6): 674-683.(in Chinese))
    [12]
    及春宁, 陈威霖, 黄继露, 等. 串列双圆柱流致振动的数值模拟及其耦合机制[J]. 力学学报, 2014,46(6): 862-870.(JI Chunning, CHEN Weilin, HUANG Jilu, et al. Numerical investigation on flow-induced vibration of two cylinders in tandem arrangements and its coupling mechanisms[J]. Chinese Journal of Theoretical and Applied Mechanics,2014, 46(6): 862-870.(in Chinese))
    [13]
    KEMPE T, FRHLICH J. Collision modelling for the interface-resolved simulation of spherical particles in viscous fluids[J]. Journal of Fluid Mechanics,2012,709: 445-489.
    [14]
    IZARD E, BONOMETTI T, LACAZE L. Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid[J]. Journal of Fluid Mechanics,2014,747(4): 422-446.
    [15]
    COSTA P, BOERSMA B J, WESTERWEEL J, et al. Collision model for fully resolved simulations of flows laden with finite-size particles[J]. Physical Review E,2015,92(5): 053012.
    [16]
    刘巨保, 罗敏. 有限单元法及应用[M]. 北京: 中国电力出版社, 2013.(LIU Jubao, LUO Min. Finite Element Method and Application [M]. Beijing: China Electric Power Press, 2013.(in Chinese))
    [17]
    GONDRET P, LANCE M, PETIT L. Bouncing motion of spherical particles in fluids[J]. Physics of Fluids,2002,14(2): 643.
    [18]
    JOSEPH G G, HUNT M L. Oblique particle-wall collisions in a liquid[J]. Journal of Fluid Mechanics,2004,510: 71-93.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1586) PDF downloads(478) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return