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Concise airfoil representation via case-based knowledge capture.

Concise airfoil representation via case-based knowledge capture.
Concise airfoil representation via case-based knowledge capture.
The cost of exploring a k-dimensional design space at a sampling density n is of the order nk. In view of this “curse of dimensionality,” the paper explores the possibility of reducing the dimensionality of parametric airfoil definitions to as low as one, to minimize their cost impact on full-airframe conceptual design studies. A formulation based on nonuniform rational B-splines is introduced in which the parametric airfoil is constructed in a reduceddimensionality space defined in terms of a small number of basis geometries. These bases are airfoils themselves, selected to represent key features of their class; we use them as learning cases or case-based representations of our knowledge of what makes a nonuniform rational B-splines curve an airfoil: moreover, an airfoil belonging to a certain class. This study focuses on supercritical sections, but the template presented here can also be applied to other types of airfoils and, indeed, to other classes of curves and surfaces.
0001-1452
1209-1218
Sóbester, András
096857b0-cad6-45ae-9ae6-e66b8cc5d81b
Sóbester, András
096857b0-cad6-45ae-9ae6-e66b8cc5d81b

Sóbester, András (2009) Concise airfoil representation via case-based knowledge capture. AIAA Journal, 47 (5), 1209-1218. (doi:10.2514/1.40119).

Record type: Article

Abstract

The cost of exploring a k-dimensional design space at a sampling density n is of the order nk. In view of this “curse of dimensionality,” the paper explores the possibility of reducing the dimensionality of parametric airfoil definitions to as low as one, to minimize their cost impact on full-airframe conceptual design studies. A formulation based on nonuniform rational B-splines is introduced in which the parametric airfoil is constructed in a reduceddimensionality space defined in terms of a small number of basis geometries. These bases are airfoils themselves, selected to represent key features of their class; we use them as learning cases or case-based representations of our knowledge of what makes a nonuniform rational B-splines curve an airfoil: moreover, an airfoil belonging to a certain class. This study focuses on supercritical sections, but the template presented here can also be applied to other types of airfoils and, indeed, to other classes of curves and surfaces.

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Published date: May 2009
Organisations: Computational Engineering and Design

Identifiers

Local EPrints ID: 66386
URI: http://eprints.soton.ac.uk/id/eprint/66386
ISSN: 0001-1452
PURE UUID: ba740575-5619-4712-90bf-e64997520722
ORCID for András Sóbester: ORCID iD orcid.org/0000-0002-8997-4375

Catalogue record

Date deposited: 10 Jun 2009
Last modified: 14 Mar 2024 02:47

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