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

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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


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