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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Lattice Boltzmann method on quadtree grids for simulating fluid flow through porous media: A new automatic algorithm
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Lattice Boltzmann method on quadtree grids for simulating fluid flow through porous media: A new automatic algorithm

机译：四叉树网格上的格子Boltzmann方法，模拟通过多孔介质的流体流动：一种新的自动算法

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摘要

During the past two decades, the lattice Boltzmann (LB) method has been introduced as a class of computational fluid dynamic methods for fluid flow simulations. In this method, instead of solving the Navier Stocks equation, the Boltzmann equation is solved to simulate the flow of a fluid. This method was originally developed based on uniform grids. However, in order to model complex geometries such as porous media, it can be very slow in comparison with other techniques such as finite differences and finite elements. To eliminate this limitation, a number of studies have aimed to formulate the lattice Boltzmann on the unstructured grids. This paper deals with simulating fluid flow through a synthetic porous medium using the LB method and on the quadtree grid structure. To this end, the LB method was used on nonuniform grids coupled with a technique for image reconstruction which resulted in the quadtree grids for simulation of fluid flow through porous media. Accuracy and efficiency of this algorithm is compared against the conventional LB method based on uniform grids. While the decrease in computational time in the proposed LB method on nonuniform grids is found to be significant regarding the size of the initial and reconstructed images, the same level of accuracy is obtained when compared with the conventional LB method on uniform grids.
机译：在过去的二十年中，格子Boltzmann（LB）方法已被引入作为一类用于流体流动模拟的计算流体动力学方法。在这种方法中，代替求解Navier Stocks方程，而是求解Boltzmann方程以模拟流体的流动。此方法最初是基于均匀网格开发的。但是，为了对诸如多孔介质之类的复杂几何形状进行建模，与诸如有限差分和有限元之类的其他技术相比，它可能非常慢。为了消除此限制，许多研究旨在将晶格玻尔兹曼公式化为非结构化网格。本文使用LB方法并在四叉树网格结构上模拟通过合成多孔介质的流体流动。为此，在非均匀网格上使用了LB方法，并结合了图像重建技术，该技术产生了四叉树网格，用于模拟流经多孔介质的流体。将这种算法的准确性和效率与基于均匀网格的常规LB方法进行了比较。尽管在初始图像和重建图像的大小方面，建议的LB方法在不均匀网格上的计算时间减少是显着的，但与在均匀网格上的常规LB方法相比，可以获得相同水平的准确性。

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