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ABSTRACT

Optimization of the Multiple-Relaxation-Time Micro-Flow Lattice Boltzmann Method

K. Suga, T. Ito

The International Conference on Computational & Experimental Engineering and Sciences 2011, 18(4), 99-100. https://doi.org/10.3970/icces.2011.018.099

Abstract

Evaluation and optimization of the multiple-relaxation-time (MRT) lattice Boltzmann method for micro-flows (micro-flow LBM) are performed with the two-dimensional nine discrete velocity (D2Q9) model. The MRT micro-flow LBM consisting of the combination of bounce-back and full diffusive (CBBFD) wall boundary condition is considered. Based on the discussion of Chai et al. (2010), the presently applied CBBFD model and relaxation time for heat flux satisfy the second-order slip boundary condition. However, modification to the MRT model of Chai et al. (MRT-C) is made to the relaxation time for the moments related to the stress by introducing the psi function (Stops,1970; Guo et al., 2006). This modified MRT-C model (MRT-Cm1) and further modified model (MRT-Cm2) by changing the coefficients of the second-order slip velocity to the coefficients of Mitsuya (1993) are evaluated. Since the MRT-Cm2 model performs best among the evaluated models including the one by Verhaeghe et al. (MRT-V) in predicting slip velocities and flow rates of Poiseuille flows in the range of Knudsen number 0.01

Cite This Article

Suga, K., Ito, T. (2011). Optimization of the Multiple-Relaxation-Time Micro-Flow Lattice Boltzmann Method. The International Conference on Computational & Experimental Engineering and Sciences, 18(4), 99–100. https://doi.org/10.3970/icces.2011.018.099

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