论文信息 - Moving grids for magnetic reconnection via Newton-Krylov methods

Moving grids for magnetic reconnection via Newton-Krylov methods

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.

[1] Stephen C. Jardin,et al. Computational Methods in Plasma Physics , 2010 .

[2] D. Keyes,et al. Jacobian-free Newton-Krylov methods: a survey of approaches and applications , 2004 .

[3] Allen H. Boozer,et al. Ohm's law for mean magnetic fields , 1986, Journal of Plasma Physics.

[4] D. Keyes,et al. NEWTON-KRYLOV-SCHWARZ: AN IMPLICIT SOLVER FOR CFD , 1995 .

[5] Gian Luca Delzanno,et al. An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization , 2008, J. Comput. Phys..

[6] Joe F. Thompson,et al. Numerical grid generation: Foundations and applications , 1985 .

[7] Stephen C. Jardin,et al. Implicit solution of the four-field extended-magnetohydrodynamic equations using high-order high-continuity finite elementsa) , 2004 .