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Discrete boundary smoothing using control node parameterisation for aerodynamic shape optimisation

David Naumann, Ben Evans Orcid Logo, Sean Walton Orcid Logo, Oubay Hassan Orcid Logo

Applied Mathematical Modelling, Volume: 48, Pages: 113 - 133

Swansea University Authors: David Naumann, Ben Evans Orcid Logo, Sean Walton Orcid Logo, Oubay Hassan Orcid Logo

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Abstract

This paper presents an automated aerodynamic optimisation algorithm using a novel method of parameterisingthe search domain and geometry by employing user{dened control nodes. The displacement of the control nodesis coupled to the shape boundary movement via a `discrete boundary smoothing'....

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa32662
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Abstract: This paper presents an automated aerodynamic optimisation algorithm using a novel method of parameterisingthe search domain and geometry by employing user{dened control nodes. The displacement of the control nodesis coupled to the shape boundary movement via a `discrete boundary smoothing'. This is initiated by a lineardeformation followed by a discrete smoothing step to act on the boundary during the mesh movement basedon the change in its second derivative. Implementing the discrete boundary smoothing allows both linear andnon-linear shape deformation along the same boundary dependent on the preference of the user. The domainmesh movement is coupled to the shape boundary movement via a Delaunay graph mapping. An optimisationalgorithm called Modied Cuckoo Search (MCS) is used acting within the prescribed design space dened by theallowed range of control node displacement. In order to obtain the aerodynamic design tness a nite volumecompressible Navier-Stokes solver is utilized. The resulting coupled algorithm is applied to a range of case studiesin two dimensional space including the optimisation of a RAE2822 aerofoil and the optimisation of an intakeduct under subsonic, transonic and supersonic ow conditions. The discrete mesh{based optimisation approachoutlined is shown to be eective in terms of its generalised applicability, intuitiveness and design space denition.
Keywords: mesh movement, Cuckoo search, computational uid dynamics, aerodynamic shape optimization, shape parameterisation
Start Page: 113
End Page: 133