Birken, Philipp, Gassner, Gregor J. and Versbach, Lea M. (2019). Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods. Int. J. Comput. Fluid Dyn., 33 (9). S. 353 - 362. ABINGDON: TAYLOR & FRANCIS LTD. ISSN 1029-0257

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Abstract

We suggest a new multigrid preconditioning strategy for use in Jacobian-free Newton-Krylov (JFNK) methods for the solution of algebraic equation systems arising from implicit Discontinuous Galerkin (DG) discretisations. To define the new preconditioner, use is made of an auxiliary first-order finite volume discretisation that refines the original DG mesh, but can still be implemented algebraically. As smoother, we consider the pseudo-time iteration W3 with a symmetric Gauss-Seidel-type approximation of the Jacobian. As a proof of concept numerical tests are presented for the one-dimensional Euler equations, demonstrating the potential of the new approach.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Birken, PhilippUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Gassner, Gregor J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Versbach, Lea M.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-141113
DOI: 10.1080/10618562.2019.1667983
Journal or Publication Title: Int. J. Comput. Fluid Dyn.
Volume: 33
Number: 9
Page Range: S. 353 - 362
Date: 2019
Publisher: TAYLOR & FRANCIS LTD
Place of Publication: ABINGDON
ISSN: 1029-0257
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
NEWTON-KRYLOV METHODSMultiple languages
Mechanics; Physics, Fluids & PlasmasMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/14111

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