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.
Description
ScienceDirect.com - Journal of Computational Physics - Multi- moment advection scheme for Vlasov simulations
%0 Journal Article
%1 MMAvlasov
%A Minoshima, Takashi
%A Matsumoto, Yosuke
%A Amano, Takanobu
%D 2011
%J Journal of Computational Physics
%K plasma simulation vlasov
%N 17
%P 6800 - 6823
%R 10.1016/j.jcp.2011.05.010
%T Multi-moment advection scheme for Vlasov simulations
%U http://www.sciencedirect.com/science/article/pii/S0021999111003147
%V 230
%X 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.
@article{MMAvlasov,
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.},
added-at = {2012-04-30T16:47:34.000+0200},
author = {Minoshima, Takashi and Matsumoto, Yosuke and Amano, Takanobu},
biburl = {https://www.bibsonomy.org/bibtex/2d3c1f7906e1876d7bcea19b0a9b4e662/ursg},
description = {ScienceDirect.com - Journal of Computational Physics - Multi- moment advection scheme for Vlasov simulations},
doi = {10.1016/j.jcp.2011.05.010},
interhash = {82a74f7f2debecf2b51aee1731e506fe},
intrahash = {d3c1f7906e1876d7bcea19b0a9b4e662},
issn = {0021-9991},
journal = {Journal of Computational Physics},
keywords = {plasma simulation vlasov},
number = 17,
pages = {6800 - 6823},
timestamp = {2012-04-30T16:47:34.000+0200},
title = {Multi-moment advection scheme for Vlasov simulations},
url = {http://www.sciencedirect.com/science/article/pii/S0021999111003147},
volume = 230,
year = 2011
}