Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows
Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows
复制标题
DOI：
10.1103/physreve.86.016709
复制
发表时间：
2012-07-23
影响因子：
2.4
通讯作者：
Li, X. J.
中科院分区：
文献类型：
--
作者：
Li, Q.;Luo, K. H.;Li, X. J.
伪势晶格玻尔兹曼（LB）模型是LB界广泛使用的多相模型。在该模型中，通常通过强制方案实现的相互作用力被用来模拟导致相分离的分子相互作用。因此，强迫方案预计将在拟势LB模式中发挥重要作用。在本文中，我们的目的是解决在伪势LB模型中强迫方案的一些关键问题。首先，将对Shan-Chen的强迫方案进行理论和数值分析[Shan and Chen， Phys]。Rev. E 47, 1815(1993)]和精确差分法强迫格式[Kupershtokh等，computer .]数学。应用学报，58,965(2009)]。本文将说明这两种方案的性质及其恢复的宏观方程。其次，通过理论分析，揭示了不同强迫方案在伪势LB模型中表现出不同性能的现象背后的物理原理。此外，在分析的基础上，我们将提出一种改进的强迫格式，并在数值上证明改进的格式可以作为在伪势LB模型中实现热力学一致性的替代方法。
The pseudopotential lattice Boltzmann (LB) model is a widely used multiphase model in the LB community. In this model, an interaction force, which is usually implemented via a forcing scheme, is employed to mimic the molecular interactions that cause phase segregation. The forcing scheme is therefore expected to play an important role in the pseudoepotential LB model. In this paper, we aim to address some key issues about forcing schemes in the pseudopotential LB model. First, theoretical and numerical analyses will be made for Shan-Chen's forcing scheme [Shan and Chen, Phys. Rev. E 47, 1815 (1993)] and the exact-difference-method forcing scheme [Kupershtokh et al., Comput. Math. Appl. 58, 965 (2009)]. The nature of these two schemes and their recovered macroscopic equations will be shown. Second, through a theoretical analysis, we will reveal the physics behind the phenomenon that different forcing schemes exhibit different performances in the pseudopotential LB model. Moreover, based on the analysis, we will present an improved forcing scheme and numerically demonstrate that the improved scheme can be treated as an alternative approach to achieving thermodynamic consistency in the pseudopotential LB model.