Physics – Computational Physics
Scientific paper
2011-05-16
J.Comput.Phys.230:6800-6823,2011
Physics
Computational Physics
52 pages, 18 figures, accepted for the publication in Journal of Computational Physics
Scientific paper
10.1016/j.jcp.2011.05.010
We present a new numerical scheme for solving the advection equation and its application to Vlasov simulations. The scheme treats not only point values of a profile but also its zeroth to second order piecewise moments as dependent variables, for better conservation of the information entropy. We have developed one- and two-dimensional schemes and show that they provide quite accurate solutions within reasonable usage of computational resources compared to other existing schemes. The two-dimensional scheme can accurately solve the solid body rotation problem of a gaussian profile for more than hundred rotation periods with little numerical diffusion. This is crucially important for Vlasov simulations of magnetized plasmas. Applications of the one- and two-dimensional schemes to electrostatic and electromagnetic Vlasov simulations are presented with some benchmark tests.
Amano Takanobu
Matsumoto Yosuke
Minoshima Takashi
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