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A Lattice-Boltzmann Method for Partially Saturated Computational Cells

Author

Listed:
  • D. R. Noble

    (Sandia National Laboratories, Albuquerque, NM 87185-0826, USA)

  • J. R. Torczynski

    (Sandia National Laboratories, Albuquerque, NM 87185-0826, USA)

Abstract

The lattice-Boltzmann (LB) method is applied to complex, moving geometries in which computational cells are partially filled with fluid. The LB algorithm is modified to include a term that depends on the percentage of the cell saturated with fluid. The method is useful for modeling suspended obstacles that do not conform to the grid. Another application is to simulations of flow through reconstructed media that are not easily segmented into solid and liquid regions. A detailed comparison is made with FIDAP simulation results for the flow about a periodic line of cylinders in a channel at a non-zero Reynolds number. Two cases are examined. In the first simulation, the cylinders are given a constant velocity along the axis of the channel, and the steady solution is acquired. The transient behavior of the system is then studied by giving the cylinders an oscillatory velocity. For both steady and oscillatory flows, the method provides excellent agreement with FIDAP simulation results, even at locations close to the surface of a cylinder. In contrast to step-like solutions produced using the "bounce-back" condition, the proposed condition gives close agreement with the smooth FIDAP predictions. Computed drag forces with the proposed condition exhibit apparent quadratic convergence with grid refinement rather than the linear convergence exhibited by other LB boundary conditions.

Suggested Citation

  • D. R. Noble & J. R. Torczynski, 1998. "A Lattice-Boltzmann Method for Partially Saturated Computational Cells," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1189-1201.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s0129183198001084
    DOI: 10.1142/S0129183198001084
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    Cited by:

    1. Tian Xia & Qihong Feng & Sen Wang & Jiyuan Zhang & Wei Zhang & Xianmin Zhang, 2022. "Numerical Study and Force Chain Network Analysis of Sand Production Process Using Coupled LBM-DEM," Energies, MDPI, vol. 15(5), pages 1-20, February.
    2. Siavash Honari & Ehsan Seyedi Hosseininia, 2021. "Particulate Modeling of Sand Production Using Coupled DEM-LBM," Energies, MDPI, vol. 14(4), pages 1-32, February.
    3. Tao, Shi & He, Qing & Yang, Xiaoping & Luo, Jiahong & Zhao, Xingxi, 2022. "Numerical study on the drag and flow characteristics of porous particles at intermediate Reynolds numbers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 273-294.
    4. Xiaohui Li & Guodong Liu & Junnan Zhao & Xiaolong Yin & Huilin Lu, 2022. "IBM-LBM-DEM Study of Two-Particle Sedimentation: Drafting-Kissing-Tumbling and Effects of Particle Reynolds Number and Initial Positions of Particles," Energies, MDPI, vol. 15(9), pages 1-20, April.

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