Robust design in aerodynamics using third-order sensitivity analysis based on discrete adjoint. Application to quasi-1D flows

Papoutsis-Kiachagias, EM; Papadimitriou, DI; Giannakoglou, KC

dc.contributor.author	Papoutsis-Kiachagias, EM	en
dc.contributor.author	Papadimitriou, DI	en
dc.contributor.author	Giannakoglou, KC	en
dc.date.accessioned	2014-03-01T02:12:08Z
dc.date.available	2014-03-01T02:12:08Z
dc.date.issued	2012	en
dc.identifier.issn	02712091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30013
dc.subject	Discreteadjoint method	en
dc.subject	Method of moments	en
dc.subject	Robust aerodynamic shape optimization	en
dc.subject	Third-order sensitivity derivatives	en
dc.subject.other	3D flow	en
dc.subject.other	Adjoint variable methods	en
dc.subject.other	Adjoints	en
dc.subject.other	Aerodynamic shape optimization	en
dc.subject.other	Control point	en
dc.subject.other	Design variables	en
dc.subject.other	Direct differentiation	en
dc.subject.other	Discreteadjoint method	en
dc.subject.other	Duct shape	en
dc.subject.other	Engineering design problems	en
dc.subject.other	Environmental parameter	en
dc.subject.other	First-order	en
dc.subject.other	Flow model	en
dc.subject.other	Friction coefficients	en
dc.subject.other	Gradient-based method	en
dc.subject.other	Mixed derivatives	en
dc.subject.other	Objective functions	en
dc.subject.other	Parameterizing	en
dc.subject.other	Robust designs	en
dc.subject.other	Second moments	en
dc.subject.other	Second orders	en
dc.subject.other	Second-order sensitivity	en
dc.subject.other	Sensitivity derivatives	en
dc.subject.other	Steepest descent algorithm	en
dc.subject.other	Third-order	en
dc.subject.other	Beam propagation method	en
dc.subject.other	Design	en
dc.subject.other	Mach number	en
dc.subject.other	Method of moments	en
dc.subject.other	Sensitivity analysis	en
dc.subject.other	Aerodynamics	en
dc.title	Robust design in aerodynamics using third-order sensitivity analysis based on discrete adjoint. Application to quasi-1D flows	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/fld.2604	en
heal.identifier.secondary	http://dx.doi.org/10.1002/fld.2604	en
heal.publicationDate	2012	en
heal.abstract	In this paper, the second-order second moment approach, coupled with an adjoint-based steepest descent algorithm, for the solution of the so-called robust design problem in aerodynamics is proposed. Because the objective function for the robust design problem comprises first-order and second-order sensitivity derivatives with respect to the environmental parameters, the application of a gradient-based method , which requires the sensitivities of this function with respect to the design variables, calls for the computation of third-order mixed derivatives. To compute these derivatives with the minimum CPU cost, a combination of the direct differentiation and the discrete adjoint variable method is proposed. This is presented for the first time in the relevant literature and is the most efficient among other possible schemes on condition that the design variables are much more than the environmental ones; this is definitely true in most engineering design problems. The proposed approach was used for the robust design of a duct, assuming a quasi-1D flow model; the coordinates of the Bézier control points parameterizing the duct shape are used as design variables, whereas the outlet Mach number and the Darcy-Weisbach friction coefficient are used as environmental ones. The extension to 2D and 3D flow problems, after developing the corresponding direct differentiation and adjoint variable methods and software, is straightforward. © 2011 John Wiley & Sons, Ltd..	en
heal.journalName	International Journal for Numerical Methods in Fluids	en
dc.identifier.doi	10.1002/fld.2604	en
dc.identifier.volume	69	en
dc.identifier.issue	3	en
dc.identifier.spage	691	en
dc.identifier.epage	709	en