Application of the intrusive polynomial chaos expansion to aerodynamic optimization based on continuous adjoint

Kantarakias, Kyriakos Dimitrios; Κανταράκιας, Κυριάκος Δημήτριος

dc.contributor.author	Kantarakias, Kyriakos Dimitrios	en
dc.contributor.author	Κανταράκιας, Κυριάκος Δημήτριος	el
dc.date.accessioned	2019-03-07T10:10:44Z
dc.date.available	2019-03-07T10:10:44Z
dc.date.issued	2019-03-07
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/48387
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.16247
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Polynomial chaos expansion	en
dc.subject	Continuous adjoint	en
dc.subject	Painless	en
dc.subject	Uncertainty quantification	en
dc.subject	PCE	en
dc.subject	Ανάπτυγμα πολυωνυμικού χάους	el
dc.subject	Συνεχής συζυγής μέθοδος	el
dc.subject	Ενισχυμένη συζυγής	el
dc.subject	Ποσοτικοποίηση αβεβαιότητας	el
dc.subject	Στιβαρός σχεδιασμός	el
dc.title	Application of the intrusive polynomial chaos expansion to aerodynamic optimization based on continuous adjoint	en
dc.title	Εφαρμογή του επεμβατικού αναπτύγματος πολυωνυμικού χάους στην αεροδυναμική βελτιστοποίηση μορφής με τη συνεχή συζυγή μέθοδο	el
heal.type	bachelorThesis
heal.classification	Στατιστική και μαθηματικά	en
heal.classification	Αεροδυναμική	el
heal.classification	mathematics and statistics	en
heal.classification	Aerodynamics	el
heal.classificationURI	http://data.seab.gr/concepts/612439338f883f5eb6bd1c572627da57a3b10bfb
heal.classificationURI	http://data.seab.gr/concepts/c23c12d107f1d4f215e7a7c2ef7541736ecaecb6
heal.classificationURI	http://lod.nal.usda.gov/6369
heal.classificationURI	http://skos.um.es/unescothes/C00063
heal.language	el
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2018-10-10
heal.abstract	This thesis deals with Uncertainty Quanti cation (UQ) through the use of the intrusive Polynomial Chaos Expansion (iPCE), in a painless manner, for the purpose of applying it in aerodynamic shape optimization cases for robust design. The iPCE is generally considered as a computationally e cient method for UQ, in comparison with other UQ methods which are in use. However, it requires restructuring the original CFD code in the case without uncertainties, which makes its application speci c to the governing equations and cumbersome in terms of the programming investment required for its development. An approach for applying the iPCE without the additional programming investment is presented, by rendering the method independent of the PDE used. The method requires only minor software modi cations to the original problem, while enjoying the bene ts of the iPCE in terms of the computational e ciency. The proposed approach is shown to enjoy a lower memory footprint and computational cost than the iPCE method. Even though the method is applicable to any PDE, applications are focused on the Navier { Stokes equations and their adjoint counterpart for optimization purposes. For the computation of the gradient of the objective function, the continuous adjoint iii method is used, with the Enhanced Surface Integral formulation for the sensitivity derivatives. This method is, then, combined with the iPCE approach in order to conduct robust design in aerodynamic shape optimization. The new, painless iPCE method is applied and validated in various cases for UQ and robust design purposes and it is shown to outperform the non{intrusive PCE in terms of computational cost while being straightforward in its application.	en
heal.advisorName	Γιαννάκογλου, Κυριάκος	el
heal.committeeMemberName	Μαθιουδάκης, Κωσταντίνος	el
heal.committeeMemberName	Αρετάκης, Νικόλαος	el
heal.committeeMemberName	Γιαννάκογλου, Κυριάκος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Μηχανολόγων Μηχανικών. Τομέας Ρευστών. Εργαστήριο Θερμικών Στροβιλομηχανών	el
heal.academicPublisherID	ntua
heal.numberOfPages	119 σ.
heal.fullTextAvailability	true