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A lattice Boltzmann representation of fluid closures for Landau damping
Authors:Henry Tazewell  Linda Vahala  Angus I. D. Macnab
Affiliation:1. Department of Physics, William &2. Mary, Williamsburg, VA, USA;3. Department of Electrical &4. Computer Engineering, Old Dominion University, Norfolk, VA, USA;5. Cogint, Seattle, WA, USA
Abstract:A lattice Boltzmann representation of the zeroth moment density closure of Hammett et al. is shown to reproduce Landau exponential decay of a perturbed density profile provided five streaming velocities are included in the lattice model. By contrast, the three streaming velocity model displays numerical instabilities when the dissipation coefficient is reduced to a level that Landau damping dominates the asymptotic density decay.
Keywords:Landau damping  moment closures  lattice Boltzmann
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