Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [29 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-03003307
Contributor : Martin Joachim Kühn Connect in order to contact the contributor
Submitted on : Friday, November 13, 2020 - 10:38:50 AM
Last modification on : Sunday, November 15, 2020 - 3:03:59 AM
Long-term archiving on: : Sunday, February 14, 2021 - 6:29:18 PM

File

kuehn_kruse_ruede_extrapolated...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03003307, version 1

Collections

`

Citation

Martin Joachim Kühn, Carola Kruse, Ulrich Rüde. Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications. 2020. ⟨hal-03003307⟩

Share

Metrics

Record views

137

Files downloads

96