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

Authors:
Takashi Minoshima;Yosuke Matsumoto;Takanobu Amano
Affiliations:
-;-;-
Venue:
Journal of Computational Physics
Year:
2013

Citing 7
Cited 0

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Efficient implementation of weighted ENO schemes

Journal of Computational Physics
Total variation diminishing Runge-Kutta schemes

Mathematics of Computation
Conservative numerical schemes for the Vlasov equation

Journal of Computational Physics
A numerical scheme for the integration of the Vlasov--Maxwell system of equations

Journal of Computational Physics
CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation

Journal of Computational Physics
Multi-moment advection scheme for Vlasov simulations

Journal of Computational Physics

Quantified Score

Hi-index	31.45

Visualization

Abstract

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.