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arXiv · 1105.3061

Multi-Moment Advection scheme for Vlasov simulations

Takashi Minoshima·Yosuke Matsumoto·Takanobu Amano
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Abstract

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.

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Takashi Minoshima, Yosuke Matsumoto, Takanobu Amano. 2011-05-16. Multi-Moment Advection scheme for Vlasov simulations. https://doi.org/10.1016/j.jcp.2011.05.010

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