Direct, adjoint and mixed approaches for the computation of Hessian in airfoil design problems

Papadimitriou, DI; Giannakoglou, KC

dc.contributor.author	Papadimitriou, DI	en
dc.contributor.author	Giannakoglou, KC	en
dc.date.accessioned	2014-03-01T01:28:09Z
dc.date.available	2014-03-01T01:28:09Z
dc.date.issued	2008	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18739
dc.subject	aerodynamic shape optimization	en
dc.subject	adjoint method	en
dc.subject	Hessian matrix	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	AERODYNAMIC SHAPE OPTIMIZATION	en
dc.subject.other	DATA ASSIMILATION	en
dc.subject.other	FLOWS	en
dc.title	Direct, adjoint and mixed approaches for the computation of Hessian in airfoil design problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/fld.1584	en
heal.identifier.secondary	http://dx.doi.org/10.1002/fld.1584	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper, four approaches to compute the Hessian matrix of an objective function used often in aerodynamic inverse design problems are presented. The computationally less expensive among them is selected and applied to the reconstruction of cascade airfoils that reproduce a prescribed pressure distribution over their walls, under inviscid and viscous flow considerations. The selected approach is based on the direct sensitivity analysis method for the computation of first derivatives, followed by the discrete adjoint method for the computation of the Hessian matrix. The applications presented in this paper show that the Newton method, based on exact Hessian matrices, outperforms other gradient-based algorithms such as steepest descent or BFGS algorithm. Copyright (C) 2007 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS	en
dc.identifier.doi	10.1002/fld.1584	en
dc.identifier.isi	ISI:000254455700006	en
dc.identifier.volume	56	en
dc.identifier.issue	10	en
dc.identifier.spage	1929	en
dc.identifier.epage	1943	en