2012/02/20 by Takashi Minoshima, Minoshima, Takashi, Yosuke Matsumoto +3 · 1 citation
Physics and Astronomy · #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research #Solar and Space Plasma Dynamics #astro-ph.SR #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1202.4220
6 pages, 3 figures, submitted to the ASP Conf. Series
arxiv created 2012/02/20 · arxiv updated 2012/02/21
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.