Moving grids for magnetic reconnection via Newton-Krylov methods

Handle URI:
http://hdl.handle.net/10754/564355
Title:
Moving grids for magnetic reconnection via Newton-Krylov methods
Authors:
Yuan, Xuefei; Jardin, Stephen C.; Keyes, David E. ( 0000-0002-4052-7224 )
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. © 2010 Elsevier B.V. All rights reserved.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Extreme Computing Research Center
Publisher:
Elsevier BV
Journal:
Computer Physics Communications
Conference/Event name:
Computer Physics Communications Special Edition for Conference on Computational Physics Kaohsiung
Issue Date:
Jan-2011
DOI:
10.1016/j.cpc.2010.06.009
Type:
Conference Paper
ISSN:
00104655
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorYuan, Xuefeien
dc.contributor.authorJardin, Stephen C.en
dc.contributor.authorKeyes, David E.en
dc.date.accessioned2015-08-04T06:24:45Zen
dc.date.available2015-08-04T06:24:45Zen
dc.date.issued2011-01en
dc.identifier.issn00104655en
dc.identifier.doi10.1016/j.cpc.2010.06.009en
dc.identifier.urihttp://hdl.handle.net/10754/564355en
dc.description.abstractThis 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.en
dc.publisherElsevier BVen
dc.subjectAdaptive griden
dc.subjectCurvilinear coordinatesen
dc.subjectLagrangian velocityen
dc.subjectMagnetic reconnectionen
dc.subjectNewton-Krylov methoden
dc.titleMoving grids for magnetic reconnection via Newton-Krylov methodsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentExtreme Computing Research Centeren
dc.identifier.journalComputer Physics Communicationsen
dc.conference.dateDec 15-19, 2009en
dc.conference.nameComputer Physics Communications Special Edition for Conference on Computational Physics Kaohsiungen
dc.conference.locationTaiwanen
dc.contributor.institutionDepartment of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, United Statesen
dc.contributor.institutionPrinceton Plasma Physics Laboratory, Princeton, NJ 08540, United Statesen
kaust.authorKeyes, David E.en
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