A painless intrusive polynomial chaos expansion approach to the
CFD analysis and the adjoint-based optimization

Χατζημανωλάκης, Μιχαήλ; Chatzimanolakis, Michail

dc.contributor.author	Χατζημανωλάκης, Μιχαήλ	el
dc.contributor.author	Chatzimanolakis, Michail	en
dc.date.accessioned	2018-09-13T10:55:11Z
dc.date.available	2018-09-13T10:55:11Z
dc.date.issued	2018-09-13
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/47584
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.15540
dc.rights	Default License
dc.subject	Συζυγής μέθοδος	el
dc.subject	Πολυωνυμικό χάος	el
dc.subject	Αβεβαιότητα	el
dc.subject	Uncertainty	en
dc.subject	Polynomial chaos	en
dc.subject	Quantification	en
dc.subject	Adjoint-based optimization	en
dc.title	A painless intrusive polynomial chaos expansion approach to the CFD analysis and the adjoint-based optimization	en
heal.type	bachelorThesis
heal.secondaryTitle	Επεμβατικό ανάπτυγμα πολυωνυμικού χάους στην υπολογιστική ρευστοδυναμική και στη βελτιστοποίηση μορφής με τη συζυγή μέθοδο	el
heal.classification	Mathematical optimization	el
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85082127
heal.language	el
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2018-07-16
heal.abstract	This diploma thesis proposes a method of Uncertainty Quantification (UQ) for use in aerodynamic analysis and optimization under uncertainties, based on the Polynomial Chaos Expansion (PCE) theory, namely its intrusive variant. Intrusive PCE is considered to be a computationally efficient UQ method; however, it asks for changes in the software used to solve the governing equations. Thus, it is a problem--specific approach. The alternative PCE variant, the non--intrusive one, is easier to implement, as it does not require any software changes but is computationally expensive for problems with many uncertain variables. The method proposed in this diploma thesis is an effort to combine the merits of the intrusive and non--intrusive PCE variants; a general approach is presented that requires very few software changes and is not specific to the equations governing a problem. At the same time, the proposed method is computationally efficient and robust. Though herein developed for the Navier--Stokes equations for compressible fluids, the proposed method can be extended to other disciplines governed by different systems of equations, in a straightforward manner. Over and above, the continuous adjoint formulation of the proposed method is developed, in order to compute the gradients of objective functions in aerodynamic shape optimization problems. Again, emphasis is laid on establishing a general approach that is easy to implement. Applications in aerodynamic analysis and optimization problems, that compare the method to its non--intrusive variant are presented.	en
heal.advisorName	Γιαννάκογλου, Κυριάκος	el
heal.committeeMemberName	Γιαννάκογλου, Κυριάκος	el
heal.committeeMemberName	Μαθιουδάκης, Κωνσταντίνος	el
heal.committeeMemberName	Αρετάκης, Νικόλαος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Μηχανολόγων Μηχανικών. Τομέας Ρευστών. Εργαστήριο Θερμικών Στροβιλομηχανών	el
heal.academicPublisherID	ntua
heal.numberOfPages	130 σ.	el
heal.fullTextAvailability	true