http://arxiv.org/abs/1910.12636
Simulation of plasmas in the electromagnetic fields requires to solve numerically a kinetic equation, describing the time evolution of the particle distribution function. Here, we propose a finite volume scheme based on the integral relation for the Poisson bracket to solve the most fundamental kinetic equation, namely, the Liouville equation. The proposed scheme conserves the number of particles, maintains the total-variation-diminishing (TVD) property, and provides high-quality numerical results. Some other types of kinetic equations may be also formulated in terms of the Poisson brackets and solved with the proposed method. Among them is the focused transport equation describing the acceleration and propagation of the Solar Energetic Particles (SEPs), which is of practical importance, since the high energy SEPs produce radiation hazards. The newly proposed scheme is demonstrated to be accurate and efficient, which makes it applicable to global simulation systems analysing the space weather. We also discuss a role of focused transport and the accuracy of the diffusive approximation, in application to the SEPs
I. Sokolov, H. Sun, G. Toth, et. al.
Tue, 29 Oct 19
23/78
Comments: 30 pages, 8 figures
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