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A multiple relaxation time extension of the constant speed kinetic model

Author

Listed:
  • 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)

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.

Suggested Citation

  • Abed Zadehgol & Mahmud Ashrafizaadeh, 2016. "A multiple relaxation time extension of the constant speed kinetic model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(08), pages 1-13, August.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:08:n:s0129183116500881
    DOI: 10.1142/S0129183116500881
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