American Institute of Aeronautics and Astronautics
1
Airfoil Optimisation by Swarm Algorithm with
Mutation and Artificial Neural Networks
Manas S. Khurana
1
, Hadi Winarto
2
and Arvind K. Sinha
3
The Sir Lawrence Wackett Aerospace Centre – RMIT University, Melbourne, VIC, 3000
The process of aerodynamic shape optimisation requires the development of
intelligent models to address the stipulated design goals. The Direct Numeric
Optimisation (DNO) approach is examined in this paper, which analyses the
feasibility of a shape, in iteration until convergence based on defined objectives and
constraints. The method is computationally intensive hence the components of the
DNO architecture are defined, validated and modified to generate an efficient
search optimisation model. Efficiency is enhanced by mapping the solution space for
High-Altitude Long Endurance (HALE) airfoil design problem, through an inverse
mapping of PARSEC airfoil shape variables over a series of benchmark profiles.
Solution regions with aerodynamically infeasible shapes are identified and
eliminated from the search process, to reduce computational time. A single-point
airfoil optimisation with Gradient-Based method, over the defined search space is
examined. Variations in base airfoils confirmed the solution space is highly
multimodal and gradient methods merely locate the local optima. A Particle Swarm
Optimisation (PSO) algorithm incorporating a double-mutation operator to mitigate
sub-optimal solutions, for highly multimodal solution topologies was defined and
validated. The swarm algorithm for airfoil shape optimisation confirmed the limited
search flexibility of gradient methods, by establishing a global solution with a 16%
reduction in drag. The swarm algorithm is computationally intense for shape
optimisation. An Artificial Neural Network (ANN) is developed and validated with a
relationship between the mapped PARSEC solution space and the aerodynamic
coefficients of lift and drag established. A network sensitivity study indicated a
double-layered network with 30 neurons for lift and 20 for drag is required to
establish the aerodynamic coefficients with acceptable accuracy. The surrogate
model is used for airfoil shape optimisation by replacing the flow solver from the
DNO loop. Time savings are established with the aerodynamic performance of the
output solution in line with the results of the direct PSO-Flow-Solver combination.
Neural network simulations for fitness function approximation are prone to errors.
Hence, future research will focus on developing a hybrid search methodology by
integrating the flow solver and ANN in the DNO approach.
1
PhD Candidate, The Sir Lawrence Wackett Aerospace Centre – RMIT University, 850 Lorimer Street,
Port Melbourne, VIC 3000, Australia – AIAA Student Member
2
Associate Professor, School of Aerospace, Mechanical and Manufacturing Engineering – RMIT
University, GPO Box 2476V, 3001, VIC, AIAA Member
3
Director Aerospace and Aviation, The Sir Lawrence Wackett Aerospace Centre – RMIT University, 850
Lorimer Street, Port Melbourne, VIC 3000, Australia - AIAA Member.
47th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition
5 - 8 January 2009, Orlando, Florida
AIAA 2009-1278
Copyright © 2009 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.