Abstract
This report compares two approaches for achieving a trimmed state of an aircraft configuration during an aerodynamic optimization. In the optimizer-based approach, balance equations are set as equality constraints to the optimizer. In the flow solver-based approach, balance equations are satisfied within the flow solver evaluation. These approaches are applied to a flying wing case, where blended trailing edge deflection is used to control the pitching moment. The wing is treated as rigid, and lift and pitching moment balance equations are taken into account for trimming. Tests are performed with varying numbers of shape design parameters and with varying numbers of flight points. It is concluded that the flow solver-based approach performs more robustly, and thus should be preferred in general, even though it may take more time than the optimizer-based approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anderson, G.R., Aftosmis, M.J.: Adaptive shape control for aerodynamic design. In: AIAA ASM 2015 (2015). https://doi.org/10.2514/6.2015-0398
Brezillon, J., Brodersen, O., Dwight, R.P., Ronzheimer, A., Wild, J.: Development and application of a flexible and efficient environment for aerodynamic shape optimisation. In: ONERA-DLR Aerospace Symposium (ODAS) (2006)
Carrier, G., Destarac, D., Dumont, A., Méheut, M., Salah El Din, I., Peter, J., Ben Khelil, S.: Gradient-based aerodynamic optimization with the elsA software. In: AIAA SciTech 2014 (2014)
Chen, S., Lyu, Z., Kenway, G.K.W., Martins, J.R.R.A.: Aerodynamic shape optimization of the Common Research Model wing-body-tail configuration. J. Aircr. (2015). https://doi.org/10.2514/1.C033328
Dwight, R.: Robust mesh deformation using the linear elasticity equations. In: Computational Fluid Dynamics 2006, pp. 401–406. Springer (2006)
Dwight, R.P., Brezillon, J.: Efficient and robust algorithms for solution of the adjoint compressible navier-stokes equations with applications. Int. J. Numer. Methods Fluids 60(4), 365–389 (2008)
Gill, P.E., Murray, W., Saunders, M.A.: SNOPT: an SQP algorithm for large-scale constrained optimization. SIAM J. Optim. 12, 979–1006 (1997)
Merle, A., Stück, A., Rempke, A.: Discrete-adjoint based aerodynamic shape optimization process for a trimmed aircraft with active engines. In: 18th AIAA/ISSMO MDAO Conference (forthcoming)
Nelson, R.C.: Flight Stability and Automatic Control. McGraw-Hill (1989)
Perez, R.E., Jansen, P.W., Martins, J.R.R.A.: pyOpt: a Python-based object-oriented framework for nonlinear constrained optimization. Struct. Multi. Optim. 45(1), 101–118 (2012). https://doi.org/10.1007/s00158-011-0666-3
Qin, N., Vavalle, A., Moigne, A.L., Laban, M., Hackett, K., Weinerfelt, P.: Aerodynamic considerations of blended wing body aircraft. Prog. Aerosp. Sci. 40(6) (2004). https://doi.org/10.1016/j.paerosci.2004.08.001
Ronzheimer, A.: Shape based on freeform deformation in aerodynamic design optimization. In: ERCOFTAC Design Optimization International Conference (2004)
Schmitt, V., Charpin, F.: Pressure distributions on the ONERA-M6-wing at transonic Mach numbers. Technical report, Office National d’Etudes et Recherches Aerospatiales (ONERA) (1979)
Schwamborn, D., Gerhold, T., Heinrich, R.: The DLR TAU-Code: Recent Applications in Research and Industry. In: ECCOMAS CFD 2006 (2006)
Vassberg, J.C., DeHaan, M.A., Rivers, S.M., Wahls, R.A.: Development of a Common Research Model for applied CFD validation studies. In: 26th AIAA Applied Aerodynamics Conference, AIAA-2008-6919 (2008)
Widhalm, M., Brezillon, J., Ilić, Č., Leicht, T.: Investigation on adjoint based gradient computations for realistic 3D aero-optimization. In: 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Ilić, Č. (2018). Comparison of Optimizer-Based and Flow Solver-Based Trimming in the Context of High-Fidelity Aerodynamic Optimization. In: Dillmann, A., et al. New Results in Numerical and Experimental Fluid Mechanics XI. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 136. Springer, Cham. https://doi.org/10.1007/978-3-319-64519-3_41
Download citation
DOI: https://doi.org/10.1007/978-3-319-64519-3_41
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64518-6
Online ISBN: 978-3-319-64519-3
eBook Packages: EngineeringEngineering (R0)