Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods
(2019) In International Journal of Computational Fluid Dynamics 33(9). p.353-361- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/f1a18fbe-d75d-434e-9a6c-77f61f65d656
- author
- Birken, Philipp LU ; Gassner, Gregor and Versbach, Lea Miko LU
- organization
- publishing date
- 2019-09-19
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- High order methods, Multigrid preconditioner, Discontinuous Galerkin method, finite volume method
- in
- International Journal of Computational Fluid Dynamics
- volume
- 33
- issue
- 9
- pages
- 9 pages
- publisher
- Taylor & Francis
- external identifiers
-
- scopus:85074040074
- ISSN
- 1061-8562
- DOI
- 10.1080/10618562.2019.1667983
- project
- Efficient Solvers for Space-Time Discontinuous Galerkin Spectral Element Methods
- language
- English
- LU publication?
- yes
- id
- f1a18fbe-d75d-434e-9a6c-77f61f65d656
- date added to LUP
- 2019-09-19 14:36:22
- date last changed
- 2024-01-31 08:33:15
@article{f1a18fbe-d75d-434e-9a6c-77f61f65d656, 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.}}, author = {{Birken, Philipp and Gassner, Gregor and Versbach, Lea Miko}}, issn = {{1061-8562}}, keywords = {{High order methods; Multigrid preconditioner; Discontinuous Galerkin method; finite volume method}}, language = {{eng}}, month = {{09}}, number = {{9}}, pages = {{353--361}}, publisher = {{Taylor & Francis}}, series = {{International Journal of Computational Fluid Dynamics}}, title = {{Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods}}, url = {{http://dx.doi.org/10.1080/10618562.2019.1667983}}, doi = {{10.1080/10618562.2019.1667983}}, volume = {{33}}, year = {{2019}}, }