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Boundary-Fitting and Local Grid Refinement for Lattice-BGK Models

Author

Listed:
  • O. Filippova

    (Institute of Combustion and Gasdynamics, University of Duisburg, D-47048 Duisburg, Germany)

  • D. Hänel

    (Institute of Combustion and Gasdynamics, University of Duisburg, D-47048 Duisburg, Germany)

Abstract

Lattice-Boltzmann models, proposed at the end of the 1980s as the noise-free version of lattice-gas models are based on gas-kinetical-like representation of fluid flow. Their recent modifications, the lattice-BGK models, provide especially simple, effective and stable algorithms for the solution of incompressible flows. The boundary-fitting concept and local grid refinement proposed for the lattice-BGK model conserve the second order accuracy of the original algorithm for flows around complicated geometries in regions of small and moderate Reynolds numbers.

Suggested Citation

  • O. Filippova & D. Hänel, 1998. "Boundary-Fitting and Local Grid Refinement for Lattice-BGK Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1271-1279.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s012918319800114x
    DOI: 10.1142/S012918319800114X
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    Cited by:

    1. Zhixiang Liu & Jun Ruan & Wei Song & Liping Zhou & Weiqi Guo & Jingxiang Xu, 2022. "Parallel Scheme for Multi-Layer Refinement Non-Uniform Grid Lattice Boltzmann Method Based on Load Balancing," Energies, MDPI, vol. 15(21), pages 1-34, October.
    2. Zhixiang Liu & Shengyong Li & Jun Ruan & Wenbo Zhang & Liping Zhou & Dongmei Huang & Jingxiang Xu, 2023. "A New Multi-Level Grid Multiple-Relaxation-Time Lattice Boltzmann Method with Spatial Interpolation," Mathematics, MDPI, vol. 11(5), pages 1-27, February.
    3. Ashorynejad, Hamid Reza & Javaherdeh, Koroush, 2019. "Evaluation of passive and active lattice Boltzmann method for PEM fuel cell modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    4. Saleh A. Bawazeer & Saleh S. Baakeem & Abdulmajeed A. Mohamad, 2022. "Integrating a Stabilized Radial Basis Function Method with Lattice Boltzmann Method," Mathematics, MDPI, vol. 10(3), pages 1-16, February.
    5. Mohsen Gorakifard & Clara Salueña & Ildefonso Cuesta & Ehsan Kian Far, 2021. "Analysis of Aeroacoustic Properties of the Local Radial Point Interpolation Cumulant Lattice Boltzmann Method," Energies, MDPI, vol. 14(5), pages 1-18, March.

    More about this item

    Keywords

    Lattice-BGK Model; Grid Refinement;

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