Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics

Handle URI:
http://hdl.handle.net/10754/577056
Title:
Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics
Authors:
Adams, Mark F.; Samtaney, Ravi ( 0000-0002-4702-6473 ) ; Brandt, Achi
Abstract:
Multigrid methods can solve some classes of elliptic and parabolic equations to accuracy below the truncation error with a work-cost equivalent to a few residual calculations so-called "textbook" multigrid efficiency. We investigate methods to solve the system of equations that arise in time dependent magnetohydrodynamics (MHD) simulations with textbook multigrid efficiency. We apply multigrid techniques such as geometric interpolation, full approximate storage, Gauss-Seidel smoothers, and defect correction for fully implicit, nonlinear, second-order finite volume discretizations of MHD. We apply these methods to a standard resistive MHD benchmark problem, the GEM reconnection problem, and add a strong magnetic guide field, which is a critical characteristic of magnetically confined fusion plasmas. We show that our multigrid methods can achieve near textbook efficiency on fully implicit resistive MHD simulations. (C) 2010 Elsevier Inc. All rights reserved.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Clean Combustion Research Center
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
Issue Date:
Sep-2010
DOI:
10.1016/j.jcp.2010.04.024
Type:
Article
ISSN:
0021-9991
Sponsors:
This work was supported under the DOE SciDAC program (USDOE Contract No. DE-AC02-09CH11466) performed at Princeton Plasma Physics Laboratory, Princeton University, and Columbia University. This research used resources of the National Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the US Department of Energy under Contract No. DE-AC05-00OR22725. This research used resources of the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the US Department of Energy under Contract No. DE-AC02-05CH11231. We gratefully acknowledge verification data from the SciDAC Center for Extended MUD Modeling.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Clean Combustion Research Center

Full metadata record

DC FieldValue Language
dc.contributor.authorAdams, Mark F.en
dc.contributor.authorSamtaney, Ravien
dc.contributor.authorBrandt, Achien
dc.date.accessioned2015-09-10T09:27:58Zen
dc.date.available2015-09-10T09:27:58Zen
dc.date.issued2010-09en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2010.04.024en
dc.identifier.urihttp://hdl.handle.net/10754/577056en
dc.description.abstractMultigrid methods can solve some classes of elliptic and parabolic equations to accuracy below the truncation error with a work-cost equivalent to a few residual calculations so-called "textbook" multigrid efficiency. We investigate methods to solve the system of equations that arise in time dependent magnetohydrodynamics (MHD) simulations with textbook multigrid efficiency. We apply multigrid techniques such as geometric interpolation, full approximate storage, Gauss-Seidel smoothers, and defect correction for fully implicit, nonlinear, second-order finite volume discretizations of MHD. We apply these methods to a standard resistive MHD benchmark problem, the GEM reconnection problem, and add a strong magnetic guide field, which is a critical characteristic of magnetically confined fusion plasmas. We show that our multigrid methods can achieve near textbook efficiency on fully implicit resistive MHD simulations. (C) 2010 Elsevier Inc. All rights reserved.en
dc.description.sponsorshipThis work was supported under the DOE SciDAC program (USDOE Contract No. DE-AC02-09CH11466) performed at Princeton Plasma Physics Laboratory, Princeton University, and Columbia University. This research used resources of the National Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the US Department of Energy under Contract No. DE-AC05-00OR22725. This research used resources of the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the US Department of Energy under Contract No. DE-AC02-05CH11231. We gratefully acknowledge verification data from the SciDAC Center for Extended MUD Modeling.en
dc.publisherElsevier BVen
dc.titleToward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamicsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentClean Combustion Research Centeren
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionColumbia Univ, Dept Appl Phys & Appl Math, New York, NY USAen
dc.contributor.institutionPrinceton Univ, Princeton Plasma Phys Lab, Princeton, NJ 08543 USAen
dc.contributor.institutionWeizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israelen
kaust.authorSamtaney, Ravien
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