Proceedings of the First International Conference for Mesoscopic Methods in Engineering and Science (ICMMES), Braunschweig, Germany, July 25-30, 2004Computers & fluids. 35(8-9):920-924
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Notes:
Physics: fluid mechanics
Accession Number:
edscal.17868486
Database:
PASCAL Archive
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A recently proposed lattice Boltzmann kinetic scheme offers a promising tool for simulating complex 3-D MHD flows. The algorithm is based on the BGK modeling of the collision term. The conventional approach for implementing magnetic behavior in LBM methods is based on one tensor-valued distribution function to present both the fluids variables (density and momentum) and the magnetic field. This formulation, however, has been proven a rather inefficient approach. The present scheme calls for a separate BGK-like evolution equation for the magnetic field which models the induction equation and enhances simplicity while allowing for the independent adjustment of the magnetic resistivity. Furthermore the algorithm correctly recovers the macroscopic dissipative MHD equations. Numerical results for the 3-D Taylor-Green vortex problem are presented with corresponding results computed with a pseudo-spectral code used as benchmark.