Grid coupling mechanism in the semi-implicit adaptive Multi-Level Multi-Domain method

10th International Conference on Numerical Modeling of Space Plasma Flows: ASTRONUM-2015

Innocenti, M.E.^1 ; Tronci, C.^2 ; Markidis, S.^3 ; Lapenta, G.^1

Center for Mathematical Plasma Astrophysics, Department of Mathematics, K.U. Leuven (University of Leuven), Celestijnenlaan 200B, Leuven

B-3001, Belgium^1

Department of Mathematics, University of Surrey, Guildford

GU2 7XH, United Kingdom^2

PDC Center for High Performance Computing, KTH Royal Institute of Technology, Stockholm, Sweden^3

关键词: Adaptive methods;    Coupling mechanism;    Electric field solution;    Electromagnetic instability;    Magnetic reconnections;    Maxwellian plasmas;    Particle-in-cell plasma simulations;    Plasma expansion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/719/1/012019/pdf
DOI  :  10.1088/1742-6596/719/1/012019

来源: IOP

【 摘 要 】

The Multi-Level Multi-Domain (MLMD) method is a semi-implicit adaptive method for Particle-In-Cell plasma simulations. It has been demonstrated in the past in simulations of Maxwellian plasmas, electrostatic and electromagnetic instabilities, plasma expansion in vacuum, magnetic reconnection [1, 2, 3]. In multiple occasions, it has been commented on the coupling between the coarse and the refined grid solutions. The coupling mechanism itself, however, has never been explored in depth. Here, we investigate the theoretical bases of grid coupling in the MLMD system. We obtain an evolution law for the electric field solution in the overlap area of the MLMD system which highlights a dependance on the densities and currents from both the coarse and the refined grid, rather than from the coarse grid alone: grid coupling is obtained via densities and currents.