标题： 基于改进相场的格子玻尔兹曼模型与过滤碰撞算子 显示英文标题

标题： Improved phase-field-based lattice Boltzmann models with a filtered collision operator

摘要： 在本研究中，提出了一种基于Allen-Cahn方程的相场格子玻尔兹曼模型，该模型采用过滤碰撞算子和平衡分布函数的高阶修正。 这里我们表明，除了产生与先前数值方法、解析解和密度比为1000的实验结果一致的数值结果外，之前的数值缺陷得到了解决。 具体而言，新模型的特点是在低粘度下具有鲁棒性，能够准确预测界面处的剪切应力，并消除了人工致密气泡和稀疏液滴等现象。 显示英文摘要

摘要： In this study, a phase-field lattice Boltzmann model based on the Allen-Cahn equation with a filtered collision operator and high-order corrections in the equilibrium distribution functions is presented. Here we show that in addition to producing numerical results consistent with prior numerical methods, analytic solutions, and experiments with the density ratio of 1000, previous numerical deficiencies are resolved. Specifically, the new model is characterized by robustness at low viscosity, accurate prediction of shear stress at interfaces, and removal of artificial dense bubbles and rarefied droplets, etc.