A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization

European Journal of Computational Mechanics

Volumn 17, Issue 1-2, 2008, Pages 103-126

  Zingg, David W ^a   Nemec, Marian ^b   Pulliam, Thomas H ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b NASA AMES RESEARCH CENTER   (United States)

Author keywords

Adjoint methods; Aerodynamics; Computational fluid dynamics; Genetic algorithms

Indexed keywords

AERODYNAMICS; COMPUTATIONAL FLUID DYNAMICS; SHAPE OPTIMIZATION;

ADJOINT METHODS; ADJOINTS; AERODYNAMIC SHAPE OPTIMIZATION; AERODYNAMICS OPTIMIZATIONS; COMPARATIVE EVALUATIONS; GENETIC-BASED ALGORITHMS; GRADIENT BASED; GRADIENT BASED ALGORITHM; MULTI-POINTS; SHAPE OPTIMIZATION PROBLEM;

GENETIC ALGORITHMS;

EID: 78049502097     PISSN: 26422085     EISSN: 26422050     Source Type: Journal    
DOI: 10.3166/REMN.17.103-126     Document Type: Article

References (29)

1. Anderson W., Newman J., Whitfield D., Nielsen E., " Sensitivity analysis for the Navier-Stokes equations on unstructured meshes using complex variables", AIAA J., vol. 39, no 1, p. 56-63, 2001.
2. Coello Coello C. A., " Evolutionary Multi-Objective Optimization: A Critical Review", Evolutionary Optimization, Kluwer Academic, New York, p. 117-146, 2002.
3. Deb K., Multi-Objective Optimization Using Evolutionary Algorithms, Chichester, New York, 2002.
4. Dennis J., Schnabel R., Numerical Methods for Unconstrained Optimization, Prentice-Hall, Englewood Cliffs, N.J., 1983.
5. Elliott J., Peraire J., " Practical 3D aerodynamic design and optimization using unstructured meshes", AIAA J., vol. 35, p. 1479-1485, 1997.
6. Giannakoglou K., " Design of optimal aerodynamic shapes using stochastic optimization methods and computational intelligence", Progress in Aerospace Sciences, vol. 38, p. 43-76, 2002.
7. Gill P., Murray W., Saunders M., "SNOPT: An SQP algorithm for large-scale constrained optimization", SIAM J. Optim., vol. 12, p. 979-1006, 2002.
8. Goldberg D., Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley, Reading, Mass., 1989.
9. Hicks R., Henne P., "Wing design by numerical optimization", J. of Aircraft, vol. 3, p. 407-412, 1978.
10. Hicks R., Murman E., Vanderplaats G., An assessment of airfoil design by numerical optimization, TM no X-3092, NASA, July, 1974.
11. Holst T. L., Pulliam T. H., Aerodynamic Shape Optimization Using A Real-Number-Encoded Genetic Algorithm, Technical Report no 2001-2473, AIAA, June, 2001.
12. Jameson A., " Aerodynamic design via control theory", J. of Scientific Computing, vol. 3, no 3, p. 233-260, 1988.
13. Marco N., Désidéri J.-A., Lantéri S., Multi-objective optimization in CFD by genetic algorithms, Technical report no 3686, Institut National de Recherche en Informatique et en Automatique (INRIA), France, April, 1999.
14. Nemec M., Optimal Shape Design of Aerodynamic Configurations: A Newton-Krylov Approach, Ph.d. Thesis, University of Toronto, Canada, 2002.
15. Nemec M., Zingg D., " Newton-Krylov algorithm for aerodynamic design using the Navier-Stokes equations", AIAA J., vol. 40, p. 1146-1154, 2002.
16. Nemec M., Zingg D., Pulliam T., " Multipoint and Multi-Objective Aerodynamic Shape Optimization", AIAA J., vol. 42, p. 1057-1065, 2004.
17. Nielsen E., AndersonW., " Aerodynamic design optimization on unstructured meshes using the Navier-Stokes equations", AIAA J., vol. 37, p. 1411-1419, 1999.
18. Nocedal J., Wright S., Numerical Optimization, Springer-Verlag, New York, 1999.
19. Obayashi S., " Aerodynamic optimization with evolutionary algorithms", Inverse Design and Optimization Methods, Lecture Series 1997-05, von Karman Institute for Fluid Dynamics, Brussels, Belgium, 1997.
20. Oyama A.,Wing design using evolutionary algorithms, Ph.d. Thesis, Tohoku University, Japan, 2000.
21. Pironneau O., " On optimum design in fluid mechanics", J. Fluid Mech., vol. 64, p. 97-110, 1974.
22. Poloni C., Giurgevich A., Onesti L., Pediroda V., " Hybridization of a Multi-Objective Genetic Algorithm, a Neural Network and a Classical Optimizer for Complex Design in Fluid Dynamics", Comput. Methods Appl. Mech. Eng., vol. 18, p. 403-420, 2000.
23. Pueyo A., Zingg D., " Efficient Newton-Krylov Solver for Aerodynamic Computations", AIAA J., vol. 36, p. 1991-1997, 1998.
24. Pulliam T., " Efficient Solution Methods for The Navier-Stokes Equations", Numerical Techniques for Viscous Flow Computation In Turbomachinery Bladings, von Karman Institute for Fluid Dynamics, Brussels, Belgium, 1985.
25. Reuther J., Jameson A., Alonso J., Rimlinger M., Saunders D., " Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers, part 1", J. of Aircraft, vol. 36, p. 51-60, 1999.
26. Vicini A., Quagliarella D., " Inverse and direct airfoil design using a multiobjective genetic algorithm", AIAA J., vol. 35, p. 1499-1505, 1997.
27. Vicini A., Quagliarella D., " Airfoil andWing Design through Hybrid Optimization Strategies", AIAA J., vol. 37, p. 634-642, 1999.
28. Zingg D., Billing L., Toward Practical Aerodynamic Design Through Numerical Optimization, Technical report no 2007-3950, AIAA, June, 2007.
29. Zingg D., Elias S., On Aerodynamic Optimization Under a Range of Operating Conditions, Technical Report no 2006-1053, AIAA, Jan., 2006.