Application of lattice kinetic models with Tsallis entropy in simulating fluid flow through porous media

Amir Hosseini (), Masoud Iranmanesh (), Ebrahim Jahanshahi Javaran and Abed Zadehgol ()
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Amir Hosseini: Department of Energy, Institute of Science, High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman, Iran
Masoud Iranmanesh: Department of Energy, Institute of Science, High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman, Iran
Ebrahim Jahanshahi Javaran: Department of Energy, Institute of Science, High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman, Iran
Abed Zadehgol: Department of Energy, Institute of Science, High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman, Iran

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 09, 1-14

Abstract: In this work, application of the recently introduced constant speed kinetic model (CSKM) [A. Zadehgol and M. Ashrafizaadeh, J. Comp. Phys. 274 803, (2014); A. Zadehgol, Phys. Rev. E 91, 063311 (2015)] in simulating fluid flow through porous media is explored. Discrete forms of Tsallis and Burg entropy functions were first introduced by Boghosian et al. [Phys. Rev. E 68, 025103, (2003)], in the context of lattice Boltzmann model (LBM). In the CSKM, the virtual particles are concentrated on n-dimensional (nD-) spheres centered at the computational nodes. Using continuous forms of the unconventional entropies of Burg, h∼logf (for 2D), and Tsallis, h∼f1−2n (for nD with n≥3), the CSKM extends the work of Boghosian et al., in the limit of fixed speed continuous velocities. In this work, the second-order accuracy, efficiency, and thermodynamic consistency of the 2D- and 3D-projections of the 4D-CSKM are explored and numerically verified.

Keywords: Kinetic model; LBM; CSKM; porous media; Tsallis entropy (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501108

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