Pooley C M, Kusumaatmaja H, Yeomans J M
The Rudolf Peierls Centre for Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Nov;78(5 Pt 2):056709. doi: 10.1103/PhysRevE.78.056709. Epub 2008 Nov 25.
We show that, when a single relaxation time lattice Boltzmann algorithm is used to solve the hydrodynamic equations of a binary fluid for which the two components have different viscosities, strong spurious velocities in the steady state lead to incorrect results for the equilibrium contact angle. We identify the origins of these spurious currents and demonstrate how the results can be greatly improved by using a lattice Boltzmann method based on a multiple-relaxation-time algorithm. By considering capillary filling we describe the dependence of the advancing contact angle on the interface velocity.
我们表明，当使用单弛豫时间格子玻尔兹曼算法来求解二元流体的流体动力学方程（其中两种组分具有不同的粘度）时，稳态下的强虚假速度会导致平衡接触角的结果不正确。我们确定了这些虚假电流的起源，并展示了如何通过使用基于多弛豫时间算法的格子玻尔兹曼方法来显著改善结果。通过考虑毛细管填充，我们描述了前进接触角对界面速度的依赖性。
