Impact of Shape Parameterisation on Aerodynamic Optimisation of Benchmark Problem

Dominic A. Masters, Daniel J. Poole, Nigel J. Taylor, T. Rendall, Christian B. Allen
2016 54th AIAA Aerospace Sciences Meeting   unpublished
General rights This document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: This paper presents an investigation into the influence of shape parameterisation and dimensionality on the optimisation of a benchmark case described by the AIAA Aerodynamic Design Optimisation Discussion Group. This problem specifies the drag minimisation of a NACA0012 under inviscid flow conditions at M = 0.85
more » ... ditions at M = 0.85 and α = 0 subject to the constraint that local thickness must only increase. The work presented here applies six different shape parameterisation schemes to this optimisation problem with between 4 and 40 design variables. The parameterisation methods used are: Bèzier Surface FFD; B-Splines; CSTs; Hicks-Henne bump functions; a Radial Basis Function domain element method (RBF-DE) and a Singular Value Decomposition (SVD) method. The optimisation framework used consists of a gradient based SQP optimiser coupled with the SU 2 adjoint Euler solver which enables the efficient calculation of the design variable gradients. Results for the all the parameterisation methods are presented with the best results for each method ranging between 25 and 56 drag counts from an initial value of 469. The optimal result was achieved with the B-Spline method with 16 design variables. A further validation of the results is then presented and the presence of hysteresis is explored. * Graduate Student, AIAA Student Member, dominic.masters@bristol.ac.uk, Bristol, BS8 1TR, UK † Graduate Student, AIAA Student Member, d.j.poole@bristol.ac.uk, Bristol, BS8 1TR, UK
doi:10.2514/6.2016-1544 fatcat:jelpbl64ifh6jlbod6p3u3lobe