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Entropic Lattice Boltzmann Method on Non-uniform Grids

机译:非均匀网格上的熵格子Boltzmann方法

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摘要

The entropic lattice Boltzmann method (ELBM) has recently been shown to be capable of simulating incompressible flows with good accuracy and enhanced stability. However, the method requires that uniform grids be used, which makes it prohibitively expensive for simulating large Reynolds number flows. In this paper, an interpolation scheme is proposed to extend the applicability of this method to arbitrary non-uniform meshes, while retaining the salient features of ELBM such as stability and computational efficiency. The new scheme is used to simulate flow in a lid driven cavity as well as flow past a square cylinder and is shown to largely reduce the grid requirements. The results of the simulation agree very well with other numerical experimental data available in the literature.
机译:最近显示,熵格玻尔兹曼方法(ELBM)能够以良好的精度和增强的稳定性模拟不可压缩的流动。但是,该方法要求使用统一的网格,这对于模拟大的雷诺数流来说非常昂贵。在本文中,提出了一种插值方案,以将该方法的适用性扩展到任意非均匀网格,同时保留ELBM的突出特征(如稳定性和计算效率)。该新方案用于模拟盖子驱动腔中的流动以及通过方筒的流动,并显示出可大大降低对栅格的要求。模拟结果与文献中提供的其他数值实验数据非常吻合。

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