Adjoint wall functions: A new concept for use in aerodynamic shape optimization

Zymaris, AS; Papadimitriou, DI; Giannakoglou, KC; Othmer, C

dc.contributor.author	Zymaris, AS	en
dc.contributor.author	Papadimitriou, DI	en
dc.contributor.author	Giannakoglou, KC	en
dc.contributor.author	Othmer, C	en
dc.date.accessioned	2014-03-01T01:32:36Z
dc.date.available	2014-03-01T01:32:36Z
dc.date.issued	2010	en
dc.identifier.issn	0021-9991	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20189
dc.subject	Continuous adjoint method	en
dc.subject	Sensitivity derivatives	en
dc.subject	Optimization	en
dc.subject	Navier-Stokes equations	en
dc.subject	Turbulence	en
dc.subject	Wall functions	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	DISCRETE ADJOINT	en
dc.subject.other	UNSTRUCTURED GRIDS	en
dc.subject.other	TURBULENT FLOWS	en
dc.subject.other	DESIGN	en
dc.subject.other	FORMULATION	en
dc.subject.other	MODEL	en
dc.title	Adjoint wall functions: A new concept for use in aerodynamic shape optimization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jcp.2010.03.037	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jcp.2010.03.037	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The continuous adjoint method for the computation of sensitivity derivatives in aerodynamic optimization problems of steady incompressible flows, modeled through the k-epsilon turbulence model with wall functions, is presented. The proposed formulation leads to the adjoint equations along with their boundary conditions by introducing the adjoint to the friction velocity. Based on the latter, an adjoint law of the wall that bridges the gap between the solid wall and the first grid node off the wall is proposed and used during the solution of the system of adjoint (to both the mean flow and turbulence) equations. Any high Reynolds turbulence model, other than the k-epsilon one used in this paper, could also profit from the proposed adjoint wall function technique. In the examined duct flow problems, where the total pressure loss due to viscous effects is used as objective function, emphasis is laid on the accuracy of the computed sensitivity derivatives, rather than the optimization itself. The latter might rely on any descent method, once the objective function gradient has accurately been computed. (c) 2010 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	JOURNAL OF COMPUTATIONAL PHYSICS	en
dc.identifier.doi	10.1016/j.jcp.2010.03.037	en
dc.identifier.isi	ISI:000278415800020	en
dc.identifier.volume	229	en
dc.identifier.issue	13	en
dc.identifier.spage	5228	en
dc.identifier.epage	5245	en