%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 }