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A rescaling algorithm for multi-relaxation-time lattice Boltzmann method towards turbulent flows with complex configurations

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Abstract

Understanding and modeling flows over porous layers are of great industrial significance. To accurately solve the turbulent multi-scale flows on complex configurations, a rescaling algorithm designed for turbulent flows with the Chapman-Enskog analysis is proposed. The mesh layout and the detailed rescaling procedure are also introduced. Direct numerical simulations (DNSs) for a turbulent channel flow and a porous walled turbulent channel flow are performed with the three-dimensional nineteen-velocity (D3Q19) multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) to validate the accuracy, adaptability, and computational performance of the present rescaling algorithm. The results, which are consistent with the previous DNS studies based on the finite difference method and the LBM, demonstrate that the present method can maintain the continuity of the macro values across the grid interface and is able to adapt to complex geometries. The reasonable time consumption of the rescaling procedure shows that the present method can accurately calculate various turbulent flows with multi-scale and complex configurations while maintaining high computational efficiency.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200444, China

    Haoyang Li, Weijian Liu & Yuhong Dong

  2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, China

    Yuhong Dong

  3. Shanghai Frontier Science Center of Mechanoinformatics, Shanghai University, Shanghai, 200072, China

    Yuhong Dong

  4. Shanghai Institute of Aircraft Mechanics and Control, Shanghai, 200092, China

    Yuhong Dong

Authors
  1. Haoyang Li
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  2. Weijian Liu
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  3. Yuhong Dong
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Correspondence to Yuhong Dong.

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Citation: LI, H. Y., LIU, W. J., and DONG, Y. H. A rescaling algorithm for multi-relaxation-time lattice Boltzmann method towards turbulent flows with complex configurations. Applied Mathematics and Mechanics (English Edition), 44(9), 1597–1612 (2023) https://doi.org/10.1007/s10483-023-3028-9

Project supported by the National Natural Science Foundation of China (Nos. 12172207 and 92052201)

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Li, H., Liu, W. & Dong, Y. A rescaling algorithm for multi-relaxation-time lattice Boltzmann method towards turbulent flows with complex configurations. Appl. Math. Mech.-Engl. Ed. 44, 1597–1612 (2023). https://doi.org/10.1007/s10483-023-3028-9

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  • DOI: https://doi.org/10.1007/s10483-023-3028-9

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