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Optimization Study of Multi-Block Interface Structure Based on Lattice Boltzmann Method

DOI：

 作者 单位 E-mail 孙丽萍 哈尔滨工程大学船舶工程学院 sunliping@hrbeu.edu.cn 陆程 哈尔滨工程大学船舶工程学院 王志凯 哈尔滨工程大学船舶工程学院 戴绍仕 哈尔滨工程大学船舶工程学院 daishaoshi@163.com 付国强 哈尔滨工程大学船舶工程学院

本文基于格子玻尔兹曼方法（Lattice Boltzmann Method，LBM）对多块网格方法（Multi-Block）的粗细网格交界结构进行了研究，提出了一种新颖的优化处理方案。解决了原有网格交界结构存在的三个的问题:两套插值运算造成的程序结构复杂的问题；存储上几个时间步的节点流场数据以备插值运算所造成内存浪费的问题；基于时间插值结果进行空间插值计算所造成插值误差积累的问题。本文用一次多点二维空间插值的方式，将原方法的空间和时间双插值，简并成一次空间插值。通过对经典的非定常的圆柱绕流算例和定常的标准顶盖方腔驱动流算例仿真模拟，验证了交界面处质量、动量及应力的连续性，网格交界面数据过渡的流畅度，最终验证了改进方法的正确性。数值模拟结果表明改进后多块算法可实现局部网格细化，进一步推动LBM方法在实际工程问题中的应用。

An optimizing plan of mesh interface between the coarse and fine mesh of multi-block method is proposed based the lattice Boltzmann method in this paper. Three key problems in original mesh interface are effectively solved, namely, the problem of complex program due two sets of interpolation operations, the problem of memory waste caused by the flow data of the past time step is stored for the time interpolation and interpolation accumulative error due to interpolated interpolation. A new kind of arrangement of coarse mesh overlapping is developed, and the interpolation of the original space and time is simplified into a spatial interpolation by means of two-dimensional multi-point spatial interpolation. Classic examples of unsteady flow around a circular cylinder and driven flow of square cavity is simulated. The continuity, momentum and stress continuity of the interface and smoothness of transition of the interface data are verified. The computational results show that the improved multi-block algorithm can realize the local mesh refinement, further promote the application of LBM in practical engineering problems.
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