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Non-linear reduced order models for steady aerodynamics

Zimmermann, Ralf and Görtz, Stefan (2010) Non-linear reduced order models for steady aerodynamics. Procedia Computer Science, 1 (1), pp. 165-174. Elsevier. ISSN 1877-0509


Official URL: http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%2359117%232010%23999989998%232084734%23FLP%23&_cdi=59117&_pubType=J&_auth=y&_acct=C000007338&_version=1&_urlVersion=0&_userid=100058&md5=a07ddf7583539f1d3f9972d500754315


A reduced order modelling approach for predicting steady aerodynamic flows and loads data based on Computational Fluid Dynamics (CFD) and global Proper Orthogonal Decomposition (POD), that is, POD for multiple different variables of interest simultaneously, is presented. A suitable data transformation for obtaining problem adapted global basis modes is introduced. Model order reduction is achieved by parameter space sampling, reduced solution space representation via global POD and restriction of a CFD flow solver to the reduced POD subspace. Solving the governing equations of fluid dynamics is replaced by solving a non-linear least-squares optimization problem. Methods for obtaining feasible starting solutions for the optimization procedure are discussed. The method is demonstrated by computing reduced-order solutions to the compressible Euler equations for the NACA 0012 airfoil based on two different snapshot sets; one in the subsonic and one in the transonic flow regime, where shocks occur. Results are compared with those obtained by POD-based interpolation using Kriging and the Thin Plate Spline method (TPS).

Item URL in elib:https://elib.dlr.de/67588/
Document Type:Article
Title:Non-linear reduced order models for steady aerodynamics
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Zimmermann, Ralfralf.zimmermann (at) dlr.deUNSPECIFIED
Görtz, Stefanstefan.görtz (at) dlr.deUNSPECIFIED
Date:July 2010
Journal or Publication Title:Procedia Computer Science
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 165-174
Series Name:Procedia Computer Science
Keywords:Least-Squares Flux Residual Minimization, Global POD, Computational Fluid Dynamics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Zimmermann, Dr. Ralf
Deposited On:05 Jan 2011 15:41
Last Modified:06 Sep 2019 15:29

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