Continuous and discrete adjoint approaches for aerodynamic shape optimization with low Mach number preconditioning

Asouti, VG; Zymaris, AS; Papadimitriou, DI; Giannakoglou, KC

dc.contributor.author	Asouti, VG	en
dc.contributor.author	Zymaris, AS	en
dc.contributor.author	Papadimitriou, DI	en
dc.contributor.author	Giannakoglou, KC	en
dc.date.accessioned	2014-03-01T01:28:04Z
dc.date.available	2014-03-01T01:28:04Z
dc.date.issued	2008	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18699
dc.subject	Adjoint approach	en
dc.subject	Aerodynamic shape optimization	en
dc.subject	Low Mach number preconditioning	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	Acoustics	en
dc.subject.other	Aerodynamics	en
dc.subject.other	Aerospace applications	en
dc.subject.other	Air	en
dc.subject.other	Compressibility	en
dc.subject.other	Fluid dynamics	en
dc.subject.other	Fluid mechanics	en
dc.subject.other	Gas dynamics	en
dc.subject.other	Incompressible flow	en
dc.subject.other	Mach number	en
dc.subject.other	Metal working shapers	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Optimization	en
dc.subject.other	Speed	en
dc.subject.other	Standards	en
dc.subject.other	Turbomachinery	en
dc.subject.other	Viscous flow	en
dc.subject.other	Adjoint	en
dc.subject.other	Adjoint approach	en
dc.subject.other	Adjoint equations	en
dc.subject.other	Aerodynamic shape optimization	en
dc.subject.other	External-	en
dc.subject.other	Flow conditioning	en
dc.subject.other	Flow equations	en
dc.subject.other	Flow speeds	en
dc.subject.other	Low Mach number preconditioning	en
dc.subject.other	Low Mach numbers	en
dc.subject.other	Mach numbers	en
dc.subject.other	Mathematical development	en
dc.subject.other	Optimization cycles	en
dc.subject.other	Optimization methods	en
dc.subject.other	Turbomachinery flows	en
dc.subject.other	Shape optimization	en
dc.title	Continuous and discrete adjoint approaches for aerodynamic shape optimization with low Mach number preconditioning	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/fld.1667	en
heal.identifier.secondary	http://dx.doi.org/10.1002/fld.1667	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Discrete and continuous adjoint approaches for use in aerodynamic shape optimization problems at all flow speeds are developed and assessed. They are based on the Navier-Stokes equations with low Mach number preconditioning. By alleviating the large disparity between acoustic waves and fluid speeds, the preconditioned flow and adjoint equations are numerically solved with affordable CPU cost, even at the socalled incompressible flow conditions. Either by employing the adjoint to the preconditioned flow equations or by preconditioning the adjoint to the 'standard' flow equations (under certain conditions the two formulations become equivalent, as proved in this paper), efficient optimization methods with reasonable cost per optimization cycle, even at very low Mach numbers, are derived. During the mathematical development, a couple of assumptions are made which are proved to be harmless to the accuracy in the computed gradients and the effectiveness of the optimization method. The proposed approaches are validated in inviscid and viscous flows in external aerodynamics and turbomachinery flows at various Mach numbers. 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.1667	en
dc.identifier.isi	ISI:000258017000002	en
dc.identifier.volume	57	en
dc.identifier.issue	10	en
dc.identifier.spage	1485	en
dc.identifier.epage	1504	en