Yao Yichen, Liu Yangsha, Zhong Xingguo, Wen Binghai
Guangxi Key Lab of Multi-source Information Mining & Security, Guangxi Normal University, Guilin 541004, China and School of Computer Science and Engineering, Guangxi Normal University, Guilin 541004, China.
Phys Rev E. 2022 Jul;106(1-2):015307. doi: 10.1103/PhysRevE.106.015307.
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 for this is the absence of a nonideal effect in the curved boundary conditions, followed by a 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.
边界处理对于流体流动建模至关重要，尤其是在格子玻尔兹曼方法中；曲线边界条件能有效提高具有复杂几何边界的单相模拟的精度。然而，传统的曲线边界条件在直接用于多相流模拟时，通常会导致显著的质量泄漏或增加。我们发现其主要原因是曲线边界条件中缺乏非理想效应，其次是计算误差。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，我们提出了一种多相曲线边界条件来处理具有复杂几何形状的润湿边界。一系列具有大密度比的静态和动态多相模拟验证了本方案的准确性并确保了质量守恒。
