A regularized lattice Boltzmann method based on the multi-layer grid using a buffer scheme

Zhixiang Liu, Yunhao Zhao, Shaohua Shi and Yang Wang
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Zhixiang Liu: College of Information Technology, Shanghai Ocean University, Shanghai 201306, P. R. China
Yunhao Zhao: College of Information Technology, Shanghai Ocean University, Shanghai 201306, P. R. China
Shaohua Shi: ��East China Sea Bureau, Ministry of Natural Resource, Shanghai 200136, P. R. China
Yang Wang: ��School of Computer Engineering and Science, Shanghai University, Shanghai 200444, P. R. China

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 09, 1-29

Abstract: The regularized lattice Boltzmann method (RLBM) has the advantage of improving the accuracy of numerical simulations without increasing the computational overhead. The RLBM usually uses the standard Cartesian grid in numerical simulation. This paper introduces the multi-layer grid technique, the multi-layer grid has different resolutions, which is also more consistent with the physical laws of the flow field. Based on this, a multi-layer grid regularized lattice Boltzmann method (ML-RLBM) for solving complex flow problems is proposed. The proposed method performs local refinement of the grid on the standard Cartesian grid to achieve a multi-layer grid, which can reduce the computational overhead. In order to realize the local grid refinement easily, this paper adopts the center point format to store the multi-layer grid. The ML-RLBM designs a buffer scheme between different layers of grids, which realizes that only spatial interpolation is required at the interface of different layers of grids without temporal interpolation. The numerical results show that the ML-RLBM has excellent numerical accuracy and numerical stability, and it can effectively reduce the computational cost.

Keywords: Regularized lattice Boltzmann method; multi-layer grid; numerical simulations (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124501171

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