title: Chequerboard effects on spurious currents in the lattice Boltzmann equation for two-phase flows.
abstract: Spurious currents near an interface between different phases are a common undesirable feature of the lattice Boltzmann equation (LBE) method for two-phase systems. In this paper, we show that the spurious currents of a kinetic theory-based LBE have a significant dependence on the parity of the grid number of the underlying lattice, which can be attributed to the chequerboard effect. A technique that uses a Lax-Wendroff streaming is proposed to overcome this anomaly, and its performance is verified numerically.
authors.affiliation: State Key Laboratory of Enhanced Oil Recovery, Research Institute of Petroleum Exploration and Development, Beijing 100083, People's Republic of China. zlguo@hust.edu.cn
authors.forename: Zhaoli
authors.initials: Z
authors.lastname: Guo
authors.forename: Baochang
authors.initials: B
authors.lastname: Shi
authors.forename: Chuguang
authors.initials: C
authors.lastname: Zheng