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

Journal Article · Fri Mar 01 04:00:00 EST 2013 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2012.11.024· OSTI ID:22233567

Minoshima, Takashi ^[1]; Matsumoto, Yosuke ^[2]; Amano, Takanobu ^[3]

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1. Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, 3173-25, Syowa-machi, Kanazawaku, Yokohama 236-0001 (Japan)
2. Department of Physics, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba 263-8522 (Japan)
3. Department of Earth and Planetary Science, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)

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.

• OSTI ID: 22233567
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 236; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
ACCURACY
ADVECTION
ANISOTROPY
DIFFUSION
ELECTRON TEMPERATURE
ENERGY CONSERVATION
EQUATIONS
NONLINEAR PROBLEMS
PLASMA
ROTATION
SIMULATION
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS