ABSTRACT: We are developing new schemes for solving the Vlasov-Maxwell system equations which are the first principle for kinetics of collisionless plasma. For studies of cross-scale coupling between fluid scale and ion scale or ion scale and electron scale, one need stable but less-dissipative time-integration scheme. First, we have modified the original splitting scheme for time integration proposed by Cheng and Knorr; second, we have developed a positive, non-oscillatory and conservative semi-Lagrangian scheme based on the fifth-degree polynomial for 1D scalar advection; and third, we have constructed an unsplitting conservative scheme for multidimensional advection. These new schemes have been successfully implemented into a 2P3V Vlasov solver, which has successfully achieved high scalability on scalar parallel supercomputer systems with 1,000-10,000 cores, and has applied to cross-scale plasma processes such as magnetic reconnection, Kelvin-Helmholtz instability and interaction between the solar wind and an unmagnetized asteroid.
Takayuki Umeda - Nagoya University
Keiichiro Fukazawa - Kyushu University
Yasuhiro Nariyuki - Kochi National College of Technology
Yosuke Matsumoto - Nagoya University
Takuma Nakamura - Institute of Space & Astronautical Science