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
Full text not available from this repository.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: |
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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 | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/14111 |
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