Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma

JOURNAL OF COMPUTATIONAL PHYSICS

卷:236

Article

Minoshima, Takashi¹  Matsumoto, Yosuke²  Amano, Takanobu³ 

[1] Japan Agcy Marine Earth Sci & Technol, Inst Res Earth Evolut, Kanazawa Ku, Yokohama, Kanagawa 2360001, Japan

[2] Chiba Univ, Dept Phys, Inage Ku, Chiba 2638522, Japan

[3] Univ Tokyo, Dept Earth & Planetary Sci, Bunkyo Ku, Tokyo 1130033, Japan

关键词: Advection equation;    Conservative form;    Multi-moment;    Vlasov simulations;    Magnetized plasma;   

DOI  :  10.1016/j.jcp.2012.11.024

来源: Elsevier

【 摘 要 】

We present an extension of the multi-moment advection scheme [T. Minoshima, Y. Matsumoto, T. Amano, Multi-moment advection scheme for Vlasov simulations, Journal of Computational Physics 230 (2011) 6800-6823] to the three-dimensional case, for full electromagnetic Vlasov simulations of magnetized plasma. The scheme treats not only point values of a profile but also its zeroth to second order piecewise moments as dependent variables, and advances them on the basis of their governing equations. Similar to the two-dimensional scheme, the three-dimensional scheme can accurately solve the solid body rotation problem of a gaussian profile with little numerical dispersion or diffusion. This is a very important property for Vlasov simulations of magnetized plasma. We apply the scheme to electromagnetic Vlasov simulations. Propagation of linear waves and nonlinear evolution of the electron temperature anisotropy instability are successfully simulated with a good accuracy of the energy conservation. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free