Multi-Moment Advection Scheme for Vlasov Simulations

被引：0

作者：

Minoshima, Takashi ^{[1
]}

Matsumoto, Yosuke ^{[2
]}

Amano, Takanobu ^{[3
]}

机构：

[1] Japan Agcy Marine Earth Sci & Technol, Inst Res Earth Evolut, 3173-25 Syowa Machi, Yokohama, Kanagawa 2360001, Japan

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

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

来源：

NUMERICAL MODELING OF SPACE PLASMA FLOWS: ASTRONUM-2011 | 2011年 / 459卷

关键词：

SEMI-LAGRANGIAN SCHEME; NUMERICAL SCHEME; EQUATION; INTEGRATION; SPACE;

D O I：

暂无

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a new numerical scheme for solving the advection equation and its application to the Vlasov simulation. 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. We have developed one- and two-dimensional schemes and show that they provide quite accurate solutions compared to other existing schemes with the same memory usage. The two-dimensional scheme can solve the solid body rotation problem of a gaussian profile with little numerical diffusion. This is a very important property for Vlasov simulations of magnetized plasma. The application of the scheme to the electromagnetic Vlasov simulation of collisionless shock waves is presented as a benchmark test.

引用

页码：277 / +

页数：2

共 12 条

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