A multiple relaxation time extension of the constant speed kinetic model

Abed Zadehgol and Mahmud Ashrafizaadeh
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Abed Zadehgol: Department of Mechanical Engineering, Isfahan University of Technology (IUT), Isfahan, P.O. Box 8415683111, Iran
Mahmud Ashrafizaadeh: Department of Mechanical Engineering, Isfahan University of Technology (IUT), Isfahan, P.O. Box 8415683111, Iran

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 08, 1-13

Abstract: In this work, a multiple relaxation time (MRT) extension of the recently introduced constant speed kinetic model (CSKM) is proposed. The CSKM, which is an entropic kinetic model and based on unconventional entropies of Burg and Tssalis, was introduced in [A. Zadehgol and M. Ashrafizaadeh, J. Comput. Phys. 274, 803 (2014)]; [A. Zadehgol Phys. Rev. E 91, 063311 (2015)] as an extension of the model of Boghosian et al. [Phys. Rev. E 68, 025103 (2003)] in the limit of fixed speed continuous velocities. The present extension improves the stability of the previous models at very high Reynolds numbers, while allowing for a more convenient orthogonal lattice. The model is verified by solving the following benchmark problems: (i) the lid driven square cavity and (ii) the Kelvin–Helmholtz instability of thin shear layers in a doubly periodic square domain.

Keywords: Minimal kinetic models; entropy; H-function; MRT; CSKM; LBM (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500881

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