Error estimation and adaptive mesh refinement for aerodynamic flows
This lecture course covers the theory of so-called duality-based a posteriori error estimation of DG finite element methods. In particular, we formulate consistent and adjoint consistent DG methods for the numerical approximation of both the compressible Euler and Navier-Stokes equations; in the lat...
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| Format: | Book Section |
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von Karman Institute for Fluid Dynamics
2009
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| Online Access: | https://eprints.nottingham.ac.uk/1193/ |
| _version_ | 1848790556924182528 |
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| author | Hartmann, Ralf Houston, Paul |
| author2 | Deconinck, Herman |
| author_facet | Deconinck, Herman Hartmann, Ralf Houston, Paul |
| author_sort | Hartmann, Ralf |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This lecture course covers the theory of so-called duality-based a posteriori error estimation of DG finite element methods. In particular, we formulate consistent and adjoint consistent DG methods for the numerical approximation of both the compressible Euler and Navier-Stokes equations; in the latter case, the viscous terms are discretized based on employing an interior penalty method. By exploiting a duality argument, adjoint-based a posteriori error indicators will be established. Moreover, application of these computable bounds within automatic adaptive finite element algorithms will be developed. Here, a variety of isotropic and anisotropic adaptive strategies, as well as $hp$-mesh refinement will be investigated. |
| first_indexed | 2025-11-14T18:14:30Z |
| format | Book Section |
| id | nottingham-1193 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:14:30Z |
| publishDate | 2009 |
| publisher | von Karman Institute for Fluid Dynamics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-11932020-05-04T20:26:51Z https://eprints.nottingham.ac.uk/1193/ Error estimation and adaptive mesh refinement for aerodynamic flows Hartmann, Ralf Houston, Paul This lecture course covers the theory of so-called duality-based a posteriori error estimation of DG finite element methods. In particular, we formulate consistent and adjoint consistent DG methods for the numerical approximation of both the compressible Euler and Navier-Stokes equations; in the latter case, the viscous terms are discretized based on employing an interior penalty method. By exploiting a duality argument, adjoint-based a posteriori error indicators will be established. Moreover, application of these computable bounds within automatic adaptive finite element algorithms will be developed. Here, a variety of isotropic and anisotropic adaptive strategies, as well as $hp$-mesh refinement will be investigated. von Karman Institute for Fluid Dynamics Deconinck, Herman 2009 Book Section NonPeerReviewed Hartmann, Ralf and Houston, Paul (2009) Error estimation and adaptive mesh refinement for aerodynamic flows. In: Proceedings of the 36THCFD/Adigma course on HP-adaptive and HP-multigrid methods. von Karman Institute for Fluid Dynamics, Rhode Saint Genèse, Belgium. ISBN 978-2-930389-98-2 (In Press) http://www.vki.ac.be/ |
| spellingShingle | Hartmann, Ralf Houston, Paul Error estimation and adaptive mesh refinement for aerodynamic flows |
| title | Error estimation and adaptive mesh refinement for aerodynamic flows |
| title_full | Error estimation and adaptive mesh refinement for aerodynamic flows |
| title_fullStr | Error estimation and adaptive mesh refinement for aerodynamic flows |
| title_full_unstemmed | Error estimation and adaptive mesh refinement for aerodynamic flows |
| title_short | Error estimation and adaptive mesh refinement for aerodynamic flows |
| title_sort | error estimation and adaptive mesh refinement for aerodynamic flows |
| url | https://eprints.nottingham.ac.uk/1193/ https://eprints.nottingham.ac.uk/1193/ |