ASSESSMENT OF MAGNETOHYDRODYNAMIC LATTICE BOLTZMANN SCHEMES IN TURBULENCE AND RECTANGULAR JETS

Benjamin M. Riley (), Jacques C. Richard () and Sharath S. Girimaji ()
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Benjamin M. Riley: Department of Aerospace Engineering, Texas A & M University, College Station, TX 77843-3141, USA
Jacques C. Richard: Department of Aerospace Engineering, Texas A & M University, College Station, TX 77843-3141, USA
Sharath S. Girimaji: Department of Aerospace Engineering, Texas A & M University, College Station, TX 77843-3141, USA

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 08, 1211-1220

Abstract: Two lattice Boltzmann method (LBM) formulations are possible to account for the effect of the magnetic field on the velocity field in magnetohydrodynamic (MHD) flows. In the body-force formulation (BFF), the magnetic field effects manifest as an external acceleration. In the extended equilibrium formulation (EEF), the effect appears through a modified equilibrium distribution function. Further, for the velocity field itself, the available choices are the single-relaxation time (SRT) and multi-relaxation time (MRT) models. Thus, for MHD-LBM, there are four possible permutations: SRT-BFF, SRT-EEF, MRT-BFF and MRT-EEF. Numerical implementation of the first three have already been presented in the literature. In this work, we, (i) develop the numerical implementation of MRT-EEF and (ii) perform an assessment of the four possible approaches. Our results indicate that the MRT-EEF is the most robust and accurate of the MHD-LBM computational schemes examined.

Keywords: Multiple relaxation time (MRT); Maxwell stress tensor; Lorentz force; probability distribution function (PDF); Bhatnagar–Gross–Krook (BGK) collision operator (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012881

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