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Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model

Zimmermann, Ralf und Görtz, Stefan (2012) Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model. The Aeronautical Journal, 116 (1184), Seiten 1079-1100. ISSN 0001-9240.

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Offizielle URL: http://aerosociety.com/News/Publications/Aero-Journal/Online/898/Improved-extrapolation-of-steady-turbulent-aerodynamics-using-a-nonlinear-PODbased-reduced-order-model

Kurzfassung

A reduced-order modelling (ROM) approach for predicting steady, turbulent aerodynamic flows based on computational fluid dynamics (CFD) and proper orthogonal decomposition (POD) is presented. Model-order reduction is achieved by parameter space sampling, solution space representation via POD and restriction of a CFD solver to the POD subspace. Solving the governing equations of fluid dynamics is replaced by solving a non-linear least-squares optimisation problem. The method will be referred to as LSQ-ROM method. Two approaches of extracting POD basis information from CFD snapshot data are discussed: POD of the full state vector (global POD) and POD of each of the partial states separately (variable-by-variable POD). The method at hand is demonstrated for a 2D aerofoil (NACA 64A010) as well as for a complete industrial aircraft configuration (NASA Common Research Model) in the transonic flow regime by computing ROMs of the compressible Reynolds-averaged Navier-Stokes equations, pursuing both the global and the variable-by-variable POD approach. The LSQ-ROM approach is tried for extrapolatory flow conditions. Results are juxtaposed with those obtained by POD-based extrapolation using Kriging and the radial basis functions spline method. As a reference, the full-order CFD solutions are considered. For the industrial aircraft configuration, the cost of computing the reduced-order solution is shown to be two orders of magnitude lower than that of computing the reference CFD solution.

Dokumentart:Zeitschriftenbeitrag
Zusätzliche Informationen:Paper No. 3672, OCTOBER 2012
Titel:Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Zimmermann, Ralfralf.zimmermann@dlr.de
Görtz, StefanStefan.Goertz@dlr.de
Datum:Oktober 2012
Erschienen in:The Aeronautical Journal
Referierte Publikation:Ja
In Open Access:Nein
In SCOPUS:Ja
In ISI Web of Science:Ja
Band:116
Seitenbereich:Seiten 1079-1100
ISSN:0001-9240
Status:veröffentlicht
Stichwörter:Reduced Order Model, Proper Orthogonal Decomposition, Kriging, Radial Basis Function, extrapolation, aerodynamics, CFD
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Luftfahrt
HGF - Programmthema:Starrflügler (alt)
DLR - Schwerpunkt:Luftfahrt
DLR - Forschungsgebiet:L AR - Starrflüglerforschung
DLR - Teilgebiet (Projekt, Vorhaben):L - Simulation & Validierung (alt)
Standort: Braunschweig
Institute & Einrichtungen:Institut für Aerodynamik und Strömungstechnik > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Hinterlegt von: Stefan Görtz
Hinterlegt am:02 Nov 2012 14:48
Letzte Änderung:26 Mär 2015 17:40

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