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Lattice Boltzmann simulation of non-equilibrium flows using spectral multiple-relaxation-time collision model
Su Yan, Xiaowen Shan
Prediction of non-equilibrium flows is critical to space flight. In the present work we demonstrate that the recently developed spectral multiple-relaxation-time (SMRT) lattice Bol…
Second-order force scheme for lattice Boltzmann method
Xuhui Li, Wenyang Duan, Xiaowen Shan
We present an a priori derivation of the force scheme for lattice Boltzmann method based on kinetic theoretical formulation. We show that the discrete lattice effect, previously el…
Rotation symmetry of the multiple-relaxation-time collision model
Xuhui Li, Xiaowen Shan
In the Hermite-expansion-based multiple-relaxation-time lattice Boltzmann (LB) model [Shan & Chen, Int. J. Mod. Phys. C, 18, 635, (2007)], a separate relaxation time is assigned to…
Chemical-potential Multiphase Lattice Boltzmann Method with Superlarge Density Ratios
Binghai Wen, Liang Zhao, Wen Qiu +2
The liquid-gas density ratio is a key property of multiphase flow methods to model real fluid systems. Here, a chemical-potential multiphase lattice Boltzmann method is constructed…
Self-consistent Force Scheme in the Discrete Boltzmann Equation
Xuhui Li, Xiaowen Shan
In the work of N. Martys et al. [Nicos S. Martys, Xiaowen Shan, Hudong Chen, Phys. Rev. E, Vol. 58, Num.5, 1998 ], a self-consistent force term to any order in the Boltzmann-BKG eq…
A central-moment multiple-relaxation-time collision model
Xiaowen Shan
We propose a multiple relaxation time Boltzmann equation collision model by systematically assigning a separate relaxation time to each of the central moments of the distribution f…