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

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

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


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.

Item URL in elib:https://elib.dlr.de/77778/
Document Type:Article
Additional Information:Paper No. 3672, OCTOBER 2012
Title:Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-based Reduced Order Model
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Date:October 2012
Journal or Publication Title:The Aeronautical Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 1079-1100
Publisher:Cambridge University Press
Keywords:Reduced Order Model, Proper Orthogonal Decomposition, Kriging, Radial Basis Function, extrapolation, aerodynamics, CFD
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & 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: Görtz, Stefan
Deposited On:02 Nov 2012 14:48
Last Modified:10 Jan 2019 15:50

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