Kalarakis A N, Burganos V N, Payatakes A C
Institute of Chemical Engineering and High Temperature Chemical Processes, Foundation for Research and Technology (ICE/HT-FORTH), Hellas, Greece.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jan;67(1 Pt 2):016702. doi: 10.1103/PhysRevE.67.016702. Epub 2003 Jan 31.
A three-dimensional lattice-Boltzmann model is developed for the simulation of nonideal fluids under static and flow conditions. The van der Waals formulation of quasilocal thermodynamics for nonuniform fluids is used, and the interfacial stress tensor for nonideal fluids appears explicitly in the hydrodynamic equations. The continuity and flow equations are fully recovered, and Galilean invariance is restored through appropriate manipulations of the pressure tensor. Although applied here to the D3Q15 lattice, the methodology of Galilean restoration can be easily modified for use with other three-dimensional lattices as well. The Laplace law and Gibbs-Thomson equations are satisfied with excellent accuracy by the model, as demonstrated by droplet equilibrium simulations. Spinodal decomposition and droplet coalescence simulations are also carried out, revealing a direct proportionality of the characteristic times to the viscosity, as expected. A wettability adjustment was made possible through the prescription of a chemical potential profile along the fluid-wall interface, and used for the simulation of droplet formation from a conical orifice.
开发了一种三维格子玻尔兹曼模型，用于模拟静态和流动条件下的非理想流体。使用了非均匀流体的准局部热力学的范德瓦尔斯公式，非理想流体的界面应力张量明确出现在流体动力学方程中。连续性方程和流动方程得以完全恢复，通过对压力张量进行适当操作恢复了伽利略不变性。尽管这里应用于D3Q15格子，但伽利略恢复方法也可以很容易地修改以用于其他三维格子。如液滴平衡模拟所示，该模型以极高的精度满足拉普拉斯定律和吉布斯 - 汤姆逊方程。还进行了旋节线分解和液滴聚并模拟，结果表明特征时间与粘度成正比，正如预期的那样。通过规定沿流体 - 壁界面的化学势分布实现了润湿性调整，并用于模拟从锥形孔口形成液滴的过程。
