A continuous adjoint method for the minimization of losses in cascade viscous flows

Papadimitriou, DI; Giannakoglou, KC

dc.contributor.author	Papadimitriou, DI	en
dc.contributor.author	Giannakoglou, KC	en
dc.date.accessioned	2014-03-01T02:43:48Z
dc.date.available	2014-03-01T02:43:48Z
dc.date.issued	2006	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31514
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-34250701036&partnerID=40&md5=f4d7dcd51a5b16f856c9c6a1c0eacbaa	en
dc.relation.uri	http://velos0.ltt.mech.ntua.gr/research/pdfs/3_079.pdf	en
dc.subject	Adjoint Method	en
dc.subject	Boundary Condition	en
dc.subject	Boundary Layer	en
dc.subject	Entropy Generation	en
dc.subject	Geometric Constraints	en
dc.subject	lagrange multiplier	en
dc.subject	Objective Function	en
dc.subject	Penalty Method	en
dc.subject	Viscous Flow	en
dc.subject.other	Field integral	en
dc.subject.other	Laminar cascade flows	en
dc.subject.other	Velocity gradient	en
dc.subject.other	Viscous losses	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Entropy	en
dc.subject.other	Flow velocity	en
dc.subject.other	Intake systems	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Viscous flow	en
dc.subject.other	Fluid dynamics	en
dc.title	A continuous adjoint method for the minimization of losses in cascade viscous flows	en
heal.type	conferenceItem	en
heal.publicationDate	2006	en
heal.abstract	A continuous adjoint formulation for the minimization of viscous losses in laminar cascade flows is presented. The losses are expressed in terms of entropy generation due to the boundary layer formation and development. The minimization of the entropy difference between the inlet to and outlet from the flow domain results from the minimization of a field integral, expressed in terms of the velocity gradient. For the latter, appropriate field adjoint equations along with boundary conditions are derived, leading to sensitivity derivatives depending only upon wall boundary terms. The Lagrange multiplier penalty method is used to handle geometrical constraints related to the minimum allowed thickness of the designed cascade airfoils. For the sake of comparison, a discrete adjoint method was also programmed and used for the solution of the same problem, in which the total pressure losses, instead of the entropy increase, was used as the objective function.	en
heal.journalName	Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting	en
dc.identifier.volume	1	en
dc.identifier.spage	613	en
dc.identifier.epage	623	en