Moving grids for magnetic reconnection via Newton-Krylov methods

Xuefei Yuan, Stephen C. Jardin, David E. Keyes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


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. © 2010 Elsevier B.V. All rights reserved.
Original languageEnglish (US)
Title of host publicationComputer Physics Communications
PublisherElsevier BV
Number of pages4
StatePublished - Jan 2011

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

  • Hardware and Architecture
  • General Physics and Astronomy


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