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Assessment Of Magnetohydrodynamic Lattice Boltzmann Schemes In Turbulence And Rectangular Jets

Author

Listed:
  • 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)

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.

Suggested Citation

  • Benjamin M. Riley & Jacques C. Richard & Sharath S. Girimaji, 2008. "Assessment Of Magnetohydrodynamic Lattice Boltzmann Schemes In Turbulence And Rectangular Jets," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1211-1220.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:08:n:s0129183108012881
    DOI: 10.1142/S0129183108012881
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