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Influence of reduced-order modelling of geometrical uncertainties on statistics

Liu, Dishi / D. S. and Görtz, Stefan (2014) Influence of reduced-order modelling of geometrical uncertainties on statistics. 7. Dresdner-Probabilistik-Workshop, 8.-9. Okt. 2014, Dresden.

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Official URL: http://www.probabilistik.de/mainframe_bdpw007.html

Abstract

The quanti�cation of aerodynamic uncertainties due to random variations of aircraft geometry often involves large number of variables which necessitate model reduction techniques, e.g. by truncated Karhunen-Lo�eve expansion (KLE). This, however, comes along with some additional uncertainty in a twofold sense, i.e. a loss in variance caused by the model reduction and whether it is worthwhile to apply model reduction when surrogate methods make high dimensional integration viable. In this work we model the uncertainties in airfoil geometry with both truncated and full KLE and integrate for some statistics of aerodynamic performance with the help of surrogate methods. By this we are trying to quantify the in uence of the truncation on the statistics and to compare the accuracy of the statistics obtained on the basis of the truncated and full KLE using surrogate-based integration. The comparison is also extended to a 3D wing with a large but rank-de�cient covariance matrix for its random �eld of geometric uncertainty, which we approximate with a low-rank Cross Approxmation tech- nique.

Item URL in elib:https://elib.dlr.de/92825/
Document Type:Conference or Workshop Item (Speech)
Title:Influence of reduced-order modelling of geometrical uncertainties on statistics
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Liu, Dishi / D. S.dishi.liu (at) dlr.deUNSPECIFIED
Görtz, StefanStefan.Goertz (at) dlr.deUNSPECIFIED
Date:October 2014
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:KLE, Karhunen-Lo�eve expansion, CFD, TAU, uncertainty, geometry, model reduction, low-rank cross approximation, surrogate model
Event Title:7. Dresdner-Probabilistik-Workshop
Event Location:Dresden
Event Type:Workshop
Event Dates:8.-9. Okt. 2014
Organizer:Chair of Turbomachinery and Jet Propulsion, Institute of Fluid Mechanics, Technische Universität Dresden
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
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:28 Nov 2014 16:41
Last Modified:28 Nov 2014 16:41

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