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Exploiting patterns in the Kulfan transformations of supercritical airfoils

Exploiting patterns in the Kulfan transformations of supercritical airfoils
Exploiting patterns in the Kulfan transformations of supercritical airfoils
For a parametric airfoil to be genuinely useful in preliminary design optimization it has to satisfy a number of requirements. Perhaps most importantly the number of design variables has to be small and the design space defined by them has to exclude geometrically unrealistic shapes. Ideally, the design variables should also have intuitive significance, that is, they should be directly linked to geometrical or aerodynamic features. Furthermore, it is advantageous to have a multi-level parameterisation built into the same mathematical form, to allow design searches with increasing level of detail. Here we propose two general methods for generating airfoils that satisfy these criteria by exploiting certain patterns in the Kulfan (or class-shape function) transformations of families of existing airfoils. We illustrate the two methods by constructing concise parametric airfoils based on the NASA SC(2) family of supercritical sections
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Sobester, A.
096857b0-cad6-45ae-9ae6-e66b8cc5d81b
Sobester, A.
096857b0-cad6-45ae-9ae6-e66b8cc5d81b

Sobester, A. (2009) Exploiting patterns in the Kulfan transformations of supercritical airfoils. 9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO), Hilton Head, USA. 21 - 23 Sep 2009. pp. 1-18 .

Record type: Conference or Workshop Item (Paper)

Abstract

For a parametric airfoil to be genuinely useful in preliminary design optimization it has to satisfy a number of requirements. Perhaps most importantly the number of design variables has to be small and the design space defined by them has to exclude geometrically unrealistic shapes. Ideally, the design variables should also have intuitive significance, that is, they should be directly linked to geometrical or aerodynamic features. Furthermore, it is advantageous to have a multi-level parameterisation built into the same mathematical form, to allow design searches with increasing level of detail. Here we propose two general methods for generating airfoils that satisfy these criteria by exploiting certain patterns in the Kulfan (or class-shape function) transformations of families of existing airfoils. We illustrate the two methods by constructing concise parametric airfoils based on the NASA SC(2) family of supercritical sections

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More information

Published date: 21 September 2009
Venue - Dates: 9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO), Hilton Head, USA, 2009-09-21 - 2009-09-23

Identifiers

Local EPrints ID: 71609
URI: http://eprints.soton.ac.uk/id/eprint/71609
PURE UUID: c9eec480-50f5-42f8-bae1-52c8bba86830
ORCID for A. Sobester: ORCID iD orcid.org/0000-0002-8997-4375

Catalogue record

Date deposited: 16 Dec 2009
Last modified: 14 Mar 2024 02:47

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