Summary
Detailed numerical shape optimization will play a strategic role for future aircraft design. It offers the possibility of designing or improving aircraft components with respect to a pre-specified figure of merit subject to geometrical and physical constraints. However, the extremely high computational expense of straightforward methodologies currently in use prohibits the application of numerical optimization for industry relevant problems. Optimization methods based on the calculation of the derivatives of the cost function with respect to the design variables suffer from the high computational costs if many design variables are used. However, these gradients can be efficiently obtained by solution of the continuous adjoint flow equations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kroll, N., Rossow, C.C., Becker, K. and Thiele, F., “The MEGAFLOW project”, Aerosp. Sci. Technol., Vol. 4, pp. 223–237, 2000.
Kroll, N., Rossow, C.C., Schwamborn, D., Becker, K. and Heller, G., “MEGAFLOW — A Numerical Flow Simulation Tool for Transport Aircraft Design”, ICAS 2002-1.10.5, 23rd International Congress of Aeronautical Sciences, Toronto, 2002.
Jameson, A., “Aerodynamic design via control theory”, Journal of Scientific Computing, Vol. 3, pp. 233–260,1988.
Jameson, A., “Computational aerodynamics for aircraft design”, Science, Vol. 245, pp. 361–371, 1989.
Jameson, A., “Optimum aerodynamic design via boundary control”, AGARDR-803, pp. 3.1–3.33, 1994.
Reuther, J., Jameson, A. et al, “Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation”, AIAA 96-0094, 1996.
Jameson, A., Martinelli, L. and Pierce, N.A., “Optimum aerodynamic design using the Navier-Stokes equations”, Theoret. Comput. Fluid Dynamics, Vol. 10, pp. 213–237, Springer, 1998.
Kroll, N., Rossow, C.C., Becker, K. and Thiele, F., “MEGAFLOW-a numerical flow simulation system”, 21st ICAS Symposium, paper 98-2.7.4, Melbourne, Australia, 1998.
Gauger, N., “Aerodynamic shape optimization using the adjoint Euler equations”, Proceedings of the GAMM Workshop ‘Discrete Modelling and Discrete Algorithms in Continuum Mechanics’, pp. 87–96, Logos Verlag Berlin, 2001.
Gauger, N., “Das Adjungiertenverfahren in der aerodynamischen Formoptimierung”, to appear as DLR-Report No. DLR-FB-2003-05 (ISSN 1434-8454), 2003.
Gauger, N. and Brezillon, J., “Aerodynamic Shape Optimization Using Adjoint Method”, Journal of Aero. Soc. of India, Vol. 54, No. 3, 2002.
Nadarajah, S. and Jameson, A., “Studies of the continuous and discrete adjoint approaches to viscous automatic aerodynamic shape optimization”, AIAA 2001-2530, 2001.
Giles, M.B., “Adjoint equations in CFD: duality, boundary conditions and solution behaviour”, AIAA 97-1850, 1997.
Selmin, V., “Multi-point aerodynamic shape optimization: The AEROSHAPE project”, Proceedings of ECCOMAS, Barcelona, Spain, 2000.
Weinerfelt, P., Gauger, N., Quagliarella, D., Soemarwoto, B. et al, “Sensitivity computations based on continuous equations”, Progress in Aerodynamic Shape Optimisation, Chap. 3, to appear in Notes on Numerical Fluid Mechanics.
Brezillon, J., “Application of the Adjoint Technique with the Optimization Framework Synaps Pointer Pro”, Present Notes on Numerical Fluid Mechanics.
Frommann, O., “Conflicting criteria handling in multiobjective optimization using the principles of fuzzy logic”, AIAA-98-2730, 1998.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gauger, N., Brezillon, J. (2005). The Continuous Adjoint Approach in Aerodynamic Shape Optimization. In: Kroll, N., Fassbender, J.K. (eds) MEGAFLOW - Numerical Flow Simulation for Aircraft Design. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 89. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32382-1_13
Download citation
DOI: https://doi.org/10.1007/3-540-32382-1_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24383-0
Online ISBN: 978-3-540-32382-2
eBook Packages: EngineeringEngineering (R0)