论文标题

晶格玻尔兹曼法中的多相弯曲边界条件

Multiphase curved boundary condition in lattice Boltzmann method

论文作者

Yao, Yichen, Liu, Yangsha, Zhong, Xingguo, Wen, Binghai

论文摘要

边界处理对于对流体流量进行建模是基本的。尤其是在晶格玻尔兹曼方法中,弯曲的边界条件有效地提高了具有复杂几何边界的单相模拟的准确性。但是,常规的弯曲边界条件通常会导致巨大的质量泄漏或直接用于多相流量模拟时增加。我们发现主要原因是在弯曲边界条件下没有非理想效应,然后进行计算误差。在本文中,将非理想效应纳入线性插值方案并补偿插值误差,我们提出了一个多相弯曲的边界条件,以使用复杂的几何形状处理润湿边界。一系列具有较高密度比的静态和动态多相模拟验证了当前的方案是否准确并确保质量保护。

The boundary treatment is fundamental for modeling fluid flows; especially, in the lattice Boltzmann method, the curved boundary conditions effectively improve the accuracy of single-phase simulations with complex-geometry boundaries. However, the conventional curved boundary conditions usually cause dramatic mass leakage or increase when they are directly used for multiphase flow simulations. We find that the principal reason is the absence of nonideal effect in the curved boundary conditions, followed by the calculation error. In this paper, incorporating the nonideal effect into the linear interpolation scheme and compensating for the interpolating error, we propose a multiphase curved boundary condition to treat the wetting boundaries with complex geometries. A series of static and dynamic multiphase simulations with large density ratio verify that the present scheme is accurate and ensures mass conservation.

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