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Article: Airfoil design via optimal control theory

TitleAirfoil design via optimal control theory
Authors
KeywordsAirfoil design
Optimal control
Finite elements
Full potential equation
Issue Date2005
PublisherAmerican Institute of Mathematical Sciences. The Journal's web site is located at https://aimsciences.org/journals/home.jsp?journalID=5
Citation
Journal of Industrial and Management Optimization, 2005, v. 1 n. 1, p. 133-148 How to Cite?
AbstractIn airfoil design, one problem of great interest is to find the target airfoil profile to achieve a given target velocity distribution. It can be formulated as an optimal control problem, with the control being the airfoil profile and the governing equation being the full potential equation in the transonic regime. To discretize the problem, one approach is to employ the finite element method. In the discretized space, a direct relationship between the objective function and the unknown profile co-ordinates can be defined via the finite element basis functions. Moreover, it is advantageous to derive the gradient in the discretized space rather than the continuous space to avoid contamination by discretization errors. In this paper, this approach is studied. In particular, a new formulation is proposed. A novel decomposition of the discrete space for the potential function, the gradient is derived and an efficient algorithm using the quasi-Newton method is described. In generating and adjusting the mesh during iterations, the elliptic mesh generation technique is used.
Persistent Identifierhttp://hdl.handle.net/10722/74477
ISSN
2015 Impact Factor: 0.776
2015 SCImago Journal Rankings: 0.639

 

DC FieldValueLanguage
dc.contributor.authorYiu, KFC-
dc.contributor.authorMak, KL-
dc.contributor.authorTeo, KL-
dc.date.accessioned2010-09-06T07:01:42Z-
dc.date.available2010-09-06T07:01:42Z-
dc.date.issued2005-
dc.identifier.citationJournal of Industrial and Management Optimization, 2005, v. 1 n. 1, p. 133-148-
dc.identifier.issn1547-5816-
dc.identifier.urihttp://hdl.handle.net/10722/74477-
dc.description.abstractIn airfoil design, one problem of great interest is to find the target airfoil profile to achieve a given target velocity distribution. It can be formulated as an optimal control problem, with the control being the airfoil profile and the governing equation being the full potential equation in the transonic regime. To discretize the problem, one approach is to employ the finite element method. In the discretized space, a direct relationship between the objective function and the unknown profile co-ordinates can be defined via the finite element basis functions. Moreover, it is advantageous to derive the gradient in the discretized space rather than the continuous space to avoid contamination by discretization errors. In this paper, this approach is studied. In particular, a new formulation is proposed. A novel decomposition of the discrete space for the potential function, the gradient is derived and an efficient algorithm using the quasi-Newton method is described. In generating and adjusting the mesh during iterations, the elliptic mesh generation technique is used.-
dc.languageeng-
dc.publisherAmerican Institute of Mathematical Sciences. The Journal's web site is located at https://aimsciences.org/journals/home.jsp?journalID=5-
dc.relation.ispartofJournal of Industrial and Management Optimization-
dc.rightsJournal of Industrial and Management Optimization. Copyright © American Institute of Mathematical Sciences.-
dc.rightsThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in [insert journal title] following peer review. The definitive publisher-authenticated version [insert complete citation information here] is available online at: xxxxxxx [insert URL that the author will receive upon publication here].-
dc.subjectAirfoil design-
dc.subjectOptimal control-
dc.subjectFinite elements-
dc.subjectFull potential equation-
dc.titleAirfoil design via optimal control theory-
dc.typeArticle-
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1547-5816&volume=1&issue=1&spage=133&epage=148&date=2005&atitle=Airfoil+design+via+optimal+control+theoryen_HK
dc.identifier.emailYiu, KFC: cedric@hkucc.hku.hk-
dc.identifier.emailMak, KL: makkl@hkucc.hku.hk-
dc.identifier.authorityYiu, KFC=rp00206-
dc.identifier.authorityMak, KL=rp00154-
dc.identifier.doi10.3934/jimo.2005.1.133-
dc.identifier.hkuros119306-
dc.identifier.volume1-
dc.identifier.issue1-
dc.identifier.spage133-
dc.identifier.epage148-
dc.publisher.placeUnited States-

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