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Leicht, Tobias and Hartmann, Ralf (2011) Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows. In: AIAA Konferenzpaper (AIAA 2), pp. 1-16. American Institute of Aeronautics and Astronautics. 49th AIAA Aerospace Sciences Meeting, 4.-7.1.2011, Orlando, USA.
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Abstract
We present adjoint-based techniques to estimate the error of a numerical flow solution with respect to a given target quantity like an aerodynamic force coefficient. This estimate can be used to judge the overall accuracy of a computation, to enhance the computed value of the target quantity and to drive a solution-adaptive mesh refinement process. The error estimation procedure is extended to multiple target functionals. The discontinuous ansatz spaces of the DG discretization allow for both element subdivision as well as a local increase of polynomial degrees for increasing the flow resolution. Targeting optimal rates of convergence, a smoothness estimation based on a truncated Legendre series expansion of the solution is employed to locally select the more promising strategy. Numerical examples for inviscid, laminar viscous and turbulent viscous flows including a three element airfoil high lift configuration and a wing-body aircraft configuration demonstrate the efficiency of the proposed algorithms.
| Item URL in elib: | https://elib.dlr.de/72281/ | |||||||||
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| Document Type: | Conference or Workshop Item (Speech) | |||||||||
| Title: | Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows | |||||||||
| Authors: |
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| Date: | January 2011 | |||||||||
| Journal or Publication Title: | AIAA Konferenzpaper | |||||||||
| Refereed publication: | No | |||||||||
| Open Access: | No | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | No | |||||||||
| In ISI Web of Science: | No | |||||||||
| Page Range: | pp. 1-16 | |||||||||
| Publisher: | American Institute of Aeronautics and Astronautics | |||||||||
| Status: | Published | |||||||||
| Keywords: | error estimation hp-adaptivity compressible flow | |||||||||
| Event Title: | 49th AIAA Aerospace Sciences Meeting | |||||||||
| Event Location: | Orlando, USA | |||||||||
| Event Type: | international Conference | |||||||||
| Event Dates: | 4.-7.1.2011 | |||||||||
| Organizer: | American Institute of Aeronautics and Astronautics | |||||||||
| HGF - Research field: | Aeronautics, Space and Transport | |||||||||
| HGF - Program: | Aeronautics | |||||||||
| HGF - Program Themes: | fixed-wing aircraft | |||||||||
| DLR - Research area: | Aeronautics | |||||||||
| DLR - Program: | L AR - Aircraft Research | |||||||||
| DLR - Research theme (Project): | L - Simulation and Validation (old) | |||||||||
| Location: | Braunschweig | |||||||||
| Institutes and Institutions: | Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering | |||||||||
| Deposited By: | Leicht, Tobias | |||||||||
| Deposited On: | 05 Dec 2011 12:59 | |||||||||
| Last Modified: | 29 Mar 2023 00:14 |
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