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Abstract
The multiplerelaxationtime (MRT) lattice Boltzmann (LB) model is an important class of LB model with lots of advantages over the traditional singlerelaxationtime (SRT) LB model. Generally, the computation of strain rate tensor is crucial for the MRTLB simulations of some complex flows. At present, only two formulae are available to compute the strain rate tensor in the MRT LB model. One is to compute the strain rate tensor using the nonequilibrium parts of macroscopic moments (Yu formula). The other is to compute the strain rate tensor using the nonequilibrium parts of density distribution functions (Chai formula). The mathematical expressions of these two formulae are so different that we do not know which formula to choose for computing the strain rate tensor in the MRT LB model. To overcome this problem, this paper presents a theoretical study of the relationship between Chai and Yu formulae. The results show that the Yu formula can be deduced from the Chai formula, although they have their own advantages and disadvantages. In particular, the Yu formula is computationally more efficient, while the Chai formula is applicable to more lattice patterns of the MRT LB models. Furthermore, the derivation of the Yu formula in a particular lattice pattern from the Chai formula is more convenient than that proposed by Yu et al.
Original language  English 

Pages (fromto)  28882902 
Number of pages  15 
Journal  Computers and Mathematics with Applications 
Volume  75 
Issue number  8 
DOIs  
Publication status  Published  15 Apr 2018 
Keywords
 Lattice Boltzmann model
 Multiple relaxation time
 Strain rate tensor
Projects
 1 Active

ARC Research Hub for Computational Particle Technology
Yu, A., Zhao, D., Rudman, M., Jiang, X., Selomulya, C., Zou, R., Yan, W., Zhou, Z., Guo, B., Shen, Y., Kuang, S., Chu, K., Yang, R., Zhu, H., Zeng, Q., Dong, K., Strezov, V., Wang, G., Zhao, B., Song, S., Evans, T., Mao, X., Zhu, J., Hu, D., Pan, R., Li, J., Williams, R., Luding, S., Liu, Q., Zhang, J., Huang, H., Jiang, Y., Qiu, T., Hapgood, K. & Chen, W.
Australian Research Council (ARC), Jiangxi University of Science and Technology, Jiangsu Industrial Technology Research Institute, Fujian Longking Co Ltd, Baosteel Group Corporation, Hamersley Iron Pty Limited, Monash University, University of New South Wales, University of Queensland , Western Sydney University, Macquarie University
31/12/16 → 30/12/21
Project: Research