Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows
In this article we consider the application of Schwarz-type domain decomposition preconditioners to the discontinuous Galerkin finite element approximation of the compressible Navier-Stokes equations. To discretize this system of conservation laws, we exploit the (adjoint consistent) symmetric versi...
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| Format: | Article |
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Global Science Press
2014
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| Online Access: | https://eprints.nottingham.ac.uk/29668/ |
| _version_ | 1848793826365276160 |
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| author | Giani, Stefano Houston, Paul |
| author_facet | Giani, Stefano Houston, Paul |
| author_sort | Giani, Stefano |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this article we consider the application of Schwarz-type domain decomposition preconditioners to the discontinuous Galerkin finite element approximation of the compressible Navier-Stokes equations. To discretize this system of conservation laws, we exploit the (adjoint consistent) symmetric version of the interior penalty discontinuous Galerkin finite element method. To define the necessary coarse-level solver required for the definition of the proposed preconditioner, we exploit ideas from composite finite element methods, which allow for the definition of finite element schemes on general meshes consisting of polygonal (agglomerated) elements. The practical performance of the proposed preconditioner is demonstrated for a series of viscous test cases in both two- and three-dimensions. |
| first_indexed | 2025-11-14T19:06:28Z |
| format | Article |
| id | nottingham-29668 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:06:28Z |
| publishDate | 2014 |
| publisher | Global Science Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-296682020-05-04T20:14:32Z https://eprints.nottingham.ac.uk/29668/ Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows Giani, Stefano Houston, Paul In this article we consider the application of Schwarz-type domain decomposition preconditioners to the discontinuous Galerkin finite element approximation of the compressible Navier-Stokes equations. To discretize this system of conservation laws, we exploit the (adjoint consistent) symmetric version of the interior penalty discontinuous Galerkin finite element method. To define the necessary coarse-level solver required for the definition of the proposed preconditioner, we exploit ideas from composite finite element methods, which allow for the definition of finite element schemes on general meshes consisting of polygonal (agglomerated) elements. The practical performance of the proposed preconditioner is demonstrated for a series of viscous test cases in both two- and three-dimensions. Global Science Press 2014-05 Article PeerReviewed Giani, Stefano and Houston, Paul (2014) Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows. Numerical Mathematics: Theory, Methods and Applications, 7 (2). pp. 123-128. ISSN 1004-8979 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9683854&fulltextType=RA&fileId=S100489790000091X doi:10.1017/S100489790000091X doi:10.1017/S100489790000091X |
| spellingShingle | Giani, Stefano Houston, Paul Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows |
| title | Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows |
| title_full | Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows |
| title_fullStr | Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows |
| title_full_unstemmed | Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows |
| title_short | Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows |
| title_sort | domain decomposition preconditioners for discontinuous galerkin discretizations of compressible fluid flows |
| url | https://eprints.nottingham.ac.uk/29668/ https://eprints.nottingham.ac.uk/29668/ https://eprints.nottingham.ac.uk/29668/ |