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Available online at www.sciencedirect.com Fusion Engineering and Design 83 (2008) 557572

Summary: Available online at www.sciencedirect.com
Fusion Engineering and Design 83 (2008) 557572
Progress in lattice Boltzmann methods for magnetohydrodynamic
flows relevant to fusion applications
M.J. Pattisona,, K.N. Premnatha,b, N.B. Morleyc, M.A. Abdouc
a MetaHeuristics LLC, 3944 State St., Ste. 350, Santa Barbara, CA 93105, USA
b UCSB, Chemical Engineering Department, Santa Barbara, CA 93106, USA
c UCLA, MAE Department, 44-114 Engineering IV, 420 Westwood Pza, Los Angeles, CA 90095-1597, USA
Received 15 May 2007; received in revised form 27 September 2007; accepted 13 October 2007
Available online 26 December 2007
In this paper, an approach to simulating magnetohydrodynamic (MHD) flows based on the lattice Boltzmann method (LBM) is presented. The
dynamics of the flow are simulated using a so-called multiple relaxation time (MRT) lattice Boltzmann equation (LBE), in which a source term
is included for the Lorentz force. The evolution of the magnetic induction is represented by introducing a vector distribution function and then
solving an appropriate lattice kinetic equation for this function. The solution of both distribution functions are obtained through a simple, explicit,
and computationally efficient stream-and-collide procedure. The use of the MRT collision term enhances the numerical stability over that of a
single relaxation time approach. To apply the methodology to solving practical problems, a new extrapolation-based method for imposing magnetic
boundary conditions is introduced and a technique for simulating steady-state flows with low magnetic Prandtl number is developed. In order
to resolve thin layers near the walls arising in the presence of high magnetic fields, a non-uniform gridding strategy is introduced through an
interpolated-streaming step applied to both distribution functions. These advances are particularly important for applications in fusion engineering


Source: Abdou, Mohamed - Fusion Science and Technology Center, University of California at Los Angeles


Collections: Plasma Physics and Fusion