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首页> 外文期刊>International Journal of Heat and Mass Transfer >Local reactive boundary scheme for irregular geometries in lattice Boltzmann method
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Local reactive boundary scheme for irregular geometries in lattice Boltzmann method

机译：格子玻尔兹曼方法中不规则几何的局部反应边界方案

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摘要

In this paper, a boundary scheme is proposed for the lattice Boltzmann method for convection-diffusion problems in irregular geometries with linear heterogeneous surface reaction. Compared with previous schemes, the physical picture of the proposed one is more clear, which reflects the consumption and production of the reaction at the boundary. Furthermore, as the unknown distribution functions at the boundary nodes are determined locally based on the kinetic flux of the incident ones, the present scheme can be easily applied to problems with complex geometric structures. The accuracy of the scheme is first tested by simulating the transient longitudinal mixing phenomenon and the convection-diffusion problems in inclined channels. The numerical results are in excellent agreement with the analytical solutions, and it is shown that the boundary scheme is of second-order accuracy in space for a straight wall in line with a link of the lattice. However, the order of accuracy will decrease for a general irregular wall. Finally, the dissolution process of a single calcite grain is simulated in both two-dimension (2D) and three-dimension (3D). Although a slight difference was observed between the results of 2D and 3D, all the results agree well with experimental measurements reported in previous study.
机译：针对线性不均匀表面反应的不规则几何中的对流扩散问题，提出了一种格子Boltzmann方法的边界格式。与以前的方案相比，所提出的方案的物理图更为清晰，反映了边界处反应的消耗和产生。此外，由于边界节点处的未知分布函数是基于入射事件的动量来局部确定的，因此本方案可以轻松地应用于具有复杂几何结构的问题。首先通过模拟瞬态纵向混合现象和倾斜通道中的对流扩散问题来测试该方案的准确性。数值结果与解析解非常吻合，并且表明边界方案在空间上对于与格子的连接线成一直线的直角墙具有二阶精度。但是，对于一般的不规则墙，精度的顺序会降低。最后，在二维（2D）和三维（3D）中模拟了单个方解石晶粒的溶解过程。尽管在2D和3D的结果之间观察到了微小的差异，但是所有结果都与先前研究中报道的实验测量结果非常吻合。

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