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Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows

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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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/
Document Type:Conference or Workshop Item (Speech)
Title:Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Hartmann, RalfUNSPECIFIEDhttps://orcid.org/0000-0002-0403-1221
Date:January 2011
Journal or Publication Title:AIAA Konferenzpaper
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 1-16
Publisher:American Institute of Aeronautics and Astronautics
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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