Multi-moment advection scheme for Vlasov simulations

被引：11

作者：

Minoshima, Takashi ^{[1
]}

Matsumoto, Yosuke ^{[2
]}

Amano, Takanobu ^{[3
]}

机构：

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

[2] Nagoya Univ, Solar Terr Environm Lab, Chikusa Ku, Nagoya, Aichi 4648601, Japan

[3] Nagoya Univ, Dept Phys, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 17期

关键词：

Advection equation; Conservative form; Multi-moment; Information entropy; Vlasov simulations; Magnetized plasmas; CUBIC-POLYNOMIAL INTERPOLATION; SEMI-LAGRANGIAN SCHEME; INCOMPRESSIBLE FLOWS; HYPERBOLIC-EQUATIONS; UNIFIED FORMULATION; CONSERVATIVE SCHEME; UNIVERSAL SOLVER; IMPLEMENTATION; INTEGRATION; SHOCK;

D O I：

10.1016/j.jcp.2011.05.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：6800 / 6823

页数：24

共 40 条

[1] ELECTRON SHOCK SURFING ACCELERATION IN MULTIDIMENSIONS: TWO-DIMENSIONAL PARTICLE-IN-CELL SIMULATION OF COLLISIONLESS PERPENDICULAR SHOCK [J].