Moving grids for magnetic reconnection via Newton–Krylov methods |
| |
Authors: | Xuefei Yuan Stephen C Jardin David E Keyes |
| |
Affiliation: | aDepartment of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, USA;bPrinceton Plasma Physics Laboratory, Princeton, NJ 08540, USA;cDivision of Mathematical and Computer Sciences and Engineering, King Abdullah University of Science and Technology, Jeddah 21534, Saudi Arabia |
| |
Abstract: | This paper presents a set of computationally efficient, adaptive grids for magnetic reconnection phenomenon where the current density can develop large gradients in the reconnection region. Four-field extended MagnetoHydroDynamics (MHD) equations with hyperviscosity terms are transformed so that the curvilinear coordinates replace the Cartesian coordinates as the independent variables, and moving grids' velocities are also considered in this transformed system as a part of interpolating the physical solutions from the old grid to the new grid as time advances. The curvilinear coordinates derived from the current density through the Monge–Kantorovich (MK) optimization approach help to reduce the resolution requirements during the computation. |
| |
Keywords: | Adaptive grid Curvilinear coordinates Lagrangian velocity Magnetic reconnection Newton&ndash Krylov method |
本文献已被 ScienceDirect 等数据库收录! |
|