Chequerboard effects on spurious currents in the lattice Boltzmann equation for two-phase flows-Reference-Cited by-同舟云学术

Chequerboard effects on spurious currents in the lattice Boltzmann equation for two-phase flows

Published:2011-06-13 Issue:1944 Volume:369 Page:2283-2291
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Guo Zhaoli¹²,Shi Baochang³,Zheng Chuguang²

Affiliation:

1. State Key Laboratory of Enhanced Oil Recovery, Research Institute of Petroleum Exploration and Development, Beijing 100083, People’s Republic of China

2. National Laboratory of Coal Combustion, and Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China

3. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2011.0023

Reference18 articles.

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3. Gunstensen A. K.. 1992 Lattice-Boltzmann studies of multiphase flow through porous media. PhD thesis MIT Cambridge MA.

4. On lattice Boltzmann modeling of phase transition in an isothermal non-ideal fluid

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