Moving grids for magnetic reconnection via Newton-Krylov methods

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

doi:10.1016/j.cpc.2010.06.009

Moving grids for magnetic reconnection via Newton-Krylov methods

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

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.

Original language	English (US)
Title of host publication	Computer Physics Communications
Publisher	Elsevier BV
Pages	173-176
Number of pages	4
DOIs	https://doi.org/10.1016/j.cpc.2010.06.009
State	Published - Jan 2011

ASJC Scopus subject areas

Hardware and Architecture
General Physics and Astronomy

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10.1016/j.cpc.2010.06.009

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title = "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. {\textcopyright} 2010 Elsevier B.V. All rights reserved.",

author = "Xuefei Yuan and Jardin, {Stephen C.} and Keyes, {David E.}",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2011",

month = jan,

doi = "10.1016/j.cpc.2010.06.009",

language = "English (US)",

pages = "173--176",

booktitle = "Computer Physics Communications",

publisher = "Elsevier BV",

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AU - Yuan, Xuefei

AU - Jardin, Stephen C.

AU - Keyes, David E.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/564355

UR - https://linkinghub.elsevier.com/retrieve/pii/S0010465510001864

UR - http://www.scopus.com/inward/record.url?scp=78149361856&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2010.06.009

DO - 10.1016/j.cpc.2010.06.009

M3 - Conference contribution

SP - 173

EP - 176

BT - Computer Physics Communications

PB - Elsevier BV

ER -

Moving grids for magnetic reconnection via Newton-Krylov methods

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