We present an extension of the multi-moment advection scheme (Minoshima etal., 2011, J. Comput. Phys.) to the three-dimensional case, for fullelectromagnetic Vlasov simulations of magnetized plasma. The scheme treats notonly point values of a profile but also its zeroth to second order piecewisemoments as dependent variables, and advances them on the basis of theirgoverning equations. Similar to the two-dimensional scheme, thethree-dimensional scheme can accurately solve the solid body rotation problemof a gaussian profile with little numerical dispersion or diffusion. This is avery important property for Vlasov simulations of magnetized plasma. We applythe scheme to electromagnetic Vlasov simulations. Propagation of linear wavesand nonlinear evolution of the electron temperature anisotropy instability aresuccessfully simulated with a good accuracy of the energy conservation.
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