Concise airfoil representation via case-based knowledge capture.

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


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.2514/1.40119
ISSNs: 0001-1452 (print)
Related URLs:
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Q Science > QA Mathematics > QA76 Computer software
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design
ePrint ID: 66386
Accepted Date and Publication Date:
May 2009Published
Date Deposited: 10 Jun 2009
Last Modified: 31 Mar 2016 12:52

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