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Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications

Kühn, Martin Joachim and Kruse, Carola and Rüde, Ulrich (2021) Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications. SIAM Journal on Scientific Computing. SIAM - Society for Industrial and Applied Mathematics. ISSN 0196-5204. (Submitted)

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Abstract

The gyrokinetic Poisson equation arises as a subproblem of Tokamak fusion reactor simulations. It is often posed on disk-like cross sections of the Tokamak that are represented in generalized polar coordinates. On the resulting curvilinear anisotropic meshes, we discretize the differential equation by finite differences or low order finite elements. Using an implicit extrapolation technique similar to multigrid tau-extrapolation, the approximation order can be increased. This technique can be naturally integrated in a matrix-free geometric multigrid algorithm. Special smoothers are developed to deal with the mesh anisotropy arising from the curvilinear coordinate system and mesh grading.

Item URL in elib:https://elib.dlr.de/138682/
Document Type:Article
Title:Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Kühn, Martin JoachimMartin.Kuehn (at) dlr.dehttps://orcid.org/0000-0002-0906-6984
Kruse, CarolaParallel Algorithms Team, CERFACS (Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique), 42 Avenue Gaspard Coriolis, 31057 Toulouse Cedex 01, Francehttps://orcid.org/0000-0002-4142-7356
Rüde, UlrichLehrstuhl für Informatik 10 (Systemsimulation), Universität Erlangen-Nürnberg, Nürnberghttps://orcid.org/0000-0001-8796-8599
Date:2021
Journal or Publication Title:SIAM Journal on Scientific Computing
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Publisher:SIAM - Society for Industrial and Applied Mathematics
ISSN:0196-5204
Status:Submitted
Keywords:fusion plasma, disk-like, cross section, multigrid, extrapolation
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Vorhaben SISTEC (old)
Location: Köln-Porz
Institutes and Institutions:Institute for Software Technology
Institute for Software Technology > High-Performance Computing
Deposited By: Kühn, Martin Joachim
Deposited On:07 Dec 2020 11:27
Last Modified:07 Dec 2020 11:27

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