EI、Scopus 收录
中文核心期刊
Lattice boltzmann method for simulating the displacement of deformable membrane in fluid[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 164-168. DOI: 10.6052/0459-1879-2005-2-2004-205
Citation: Lattice boltzmann method for simulating the displacement of deformable membrane in fluid[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 164-168. DOI: 10.6052/0459-1879-2005-2-2004-205

Lattice boltzmann method for simulating the displacement of deformable membrane in fluid

  • A lattice Boltzmann method is employed to simulate theinteraction between the deformable membraneand surrounding fluids. The boundary condition and the force exerting on themembrane are handled based on the lattice Boltzmann method. Interactionbetween the membrane and surrounding fluids may cause the membrane tovibrate. The membrane is discretized into segments. Each segment issimplified to a mass particle and connected to its neighbors. The Newtoniandynamic simulation is applied to each segment. The dynamic equation of thedeformable membrane can be simulated according to the force acting on it.The hydrodynamic forces acting on the membrane are obtained by thecomputation of fluid flow stress at the moving boundary using the latticeBoltzmann momentum-exchange method. It can simulate the curved shape withsecond-order accuracy. The fluid flow and membrane deformable equations arecoupled. The membrane as a moving boundary affects the fluid flow, and thedeformation of the membrane is the result of the hydrodynamic force actingon it. In this paper, the configurations of membranes at corresponding timeunder different conditions are computed. In the numerical test, both ends ofthe membrane are fixed and its initial shape is set to be a straight line,its initial vibrant velocity normal to the membrane surface is given to bevaried at different position. The flow is simulated by the lattice Boltzmannmethod with second-order accuracy, and the deformation of the membrane iscomputed using the Newtonian dynamic equation. The results show that theconfiguration of the membrane is closed to its initial straight line in asufficient long time if the membrane is relatively soft or stiff, and theresults agree well with the other published results.
  • Related Articles

    [1]Multiple-distribution Regularized Lattice Boltzmann Method For Convection-Diffusion-System-Based Incompressible Navier-Stokes Equations[J]. Chinese Journal of Theoretical and Applied Mechanics.
    [2]Liu Chunyou, Li Zuoxu, Wang Lianping. LOCAL GRID REFINEMENT APPROACH FOR LATTICE BOLTZMANN METHOD: DISTRIBUTION FUNCTION CONVERSION BETWEEN COARSE AND FINE GRIDS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(11): 2480-2503. DOI: 10.6052/0459-1879-23-229
    [3]Yang Xuguang, Wang Lei. REGULARIZED LATTICE BOLTZMANN METHOD FOR MULTI-COMPONENT AND MULTI-PHASE PENG-ROBINSON FLUIDS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(8): 1649-1661. DOI: 10.6052/0459-1879-23-096
    [4]Tong Ying, Xia Jian, Chen Long, Xue Haotian. AN IMMERSED BOUNDARY LATTICE BOLTZMANN METHOD BASED ON IMPLICIT DIFFUSE DIRECT-FORCING SCHEME[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(1): 94-105. DOI: 10.6052/0459-1879-21-315
    [5]Qiaozhong Li, Mufeng Chen, You Li, Xiaodong Niu, Khan Adnan. IMMERSED BOUNDARY-SIMPLIFIED THERMAL LATTICE BOLTZMANN METHOD FOR FLUID-STRUCTURE INTERACTION PROBLEM WITH HEAT TRANSFER AND ITS APPLICATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 392-404. DOI: 10.6052/0459-1879-18-278
    [6]Cheng Zhilin, Ning Zhengfu, Zeng Yan, Wang Qing, Sui Weibo, Zhang Wentong, Ye Hongtao, Chen Zhili. A LATTICE BOLTZMANN SIMULATION OF FLUID FLOW IN POROUS MEDIA USING A MODIFIED BOUNDARY CONDITION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 124-134. DOI: 10.6052/0459-1879-18-179
    [7]Zhiwei Tian, Chuguang Zheng, Xiaoming Wang. Lattice boltzmann simulation of gas micro-flows in transitional regime[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 828-834. DOI: 10.6052/0459-1879-2009-6-2008-472
    [8]Numerical simulations of suspension motion of irregular shaped particles via the lattice Boltzmann method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(2). DOI: 10.6052/0459-1879-2004-2-2002-408
    [9]DIES OF BURGERS EQUATION USING A LATTICE BOLTZMANN METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(2). DOI: 10.6052/0459-1879-1999-2-1995-016
    [10]MULTISPECIES LATTICE-BOLTZMANN MODELS FOR MASS DIFFUSION 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(1): 20-26. DOI: 10.6052/0459-1879-1998-1-1995-093

Catalog

    Article Metrics

    Article views (1841) PDF downloads (525) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return