论文标题
均衡的晶格玻尔兹曼方程，用于两相流
Well-balanced lattice Boltzmann equation for two-phase flows
论文作者
论文摘要
标准晶格玻尔兹曼方程（LBE）方法通常无法捕获两相流体系统的物理平衡状态，即零速度和恒定的化学势。因此，在LBE模拟中经常遇到虚假的速度和不一致的热力学密度特性。在这项工作中，基于对LBE离散平衡方程的严格分析，我们确定了由于来自不同部分的离散误差而导致的力不平衡的结构。然后提出了一个均衡的LBE，可以达到离散的平衡状态。 LBE的均衡属性通过平面界面问题和液滴系统的一些数值测试证实。
The standard lattice Boltzmann equation (LBE) method usually fails to capture the physical equilibrium state of a two-phase fluid system, i.e., zero velocity and constant chemical potential. Consequently, spurious velocities and inconsistent thermodynamic density properties are frequently encountered in LBE simulations. In this work, based on a rigorous analysis of the discrete balance equation of LBE, we identify the structure of the force imbalance due to discretization errors from different parts. Then a well-balanced LBE is proposed which can achieve the discrete equilibrium state. The well-balanced properties of the LBE are confirmed by some numerical tests of a flat interface problem and a droplet system.
