Second-order force scheme for lattice Boltzmann method
Computational Physics
2022-12-16 v1 Fluid Dynamics
Abstract
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 eliminated a posteriori in BGK collision model, is due to first-order space-time discretization and can be eliminated generically for a wide range of collision models with second-order space-time discretization. Particularly, the force scheme for the recently developed spectral multiple-relaxation-time (SMRT) collision model is obtained and numerically verified.
Cite
@article{arxiv.2212.07494,
title = {Second-order force scheme for lattice Boltzmann method},
author = {Xuhui Li and Wenyang Duan and Xiaowen Shan},
journal= {arXiv preprint arXiv:2212.07494},
year = {2022}
}