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

Kühn MJ, Kruse C, Rüde U (2021)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2021

Journal

SIAM Journal on Scientific Computing Society for Industrial and Applied Mathematics

DOI: 10.1007/s10915-022-01802-1

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.

Authors with CRIS profile

Carola Kruse Lehrstuhl für Informatik 10 (Systemsimulation) Ulrich Rüde Lehrstuhl für Informatik 10 (Systemsimulation)

Involved external institutions

Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR) / German Aerospace Center DE Germany (DE)

How to cite

APA:

Kühn, M.J., Kruse, C., & Rüde, U. (2021). Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications. SIAM Journal on Scientific Computing. https://dx.doi.org/10.1007/s10915-022-01802-1

MLA:

Kühn, Martin J, Carola Kruse, and Ulrich Rüde. "Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications." SIAM Journal on Scientific Computing (2021).

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