Dynamic Response of Typical Section Using Variable-Fidelity Fluid Dynamics and Gust-Modeling Approaches—With Correction Methods
Publication: Journal of Aerospace Engineering
Volume 27, Issue 5
Abstract
The gust response of a typical section is investigated in terms of both high-fidelity computational fluid dynamics (CFD) and low-fidelity semianalytical solutions of the aerodynamic flow, enabling the suitability of the two approaches in the preliminary design of a small, flexible-winged unmanned air vehicle (UAV) to be assessed. A sinusoidal vertical gust acts as the aerodynamic perturbation and the aeroelastic response is provided for different aerofoil shapes, spring stiffnesses, wind gust intensities, and modeling approaches. For attached flow, the predicted low-fidelity gust response is found to agree well with the corresponding high-fidelity gust response; for separated flow, the low-fidelity model is unable to predict the strong oscillation of the typical section, and suitable tuning of its response is needed. Three different methods are explored for correcting the low-fidelity results based on just a few high-fidelity ones. The good agreement found between the high-fidelity and the tuned low-fidelity results obtained shows that a multifidelity-metamodel-based strategy is suitable for efficiently correcting reduced-order models.
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Acknowledgments
M. B. gratefully acknowledges the financial support of the European Union through the Marie Curie Action Contract MEST-CT-2005-020599, without which this work would not have been possible. M. B. would also like to thank Dr. Jan Brink-Spalink at Airbus GmbH for fruitful discussions on unsteady CFD and potential-flow theory, including correction methods.
References
Amsallem, D., and Farhat, C. (2008). “An interpolation method for adapting reduced-order models and application to aeroelasticity.” AIAA J., 46(7), 1803–1813.
Anderson, J. D. (2007). Fundamentals of aerodynamics, McGraw-Hill, New York.
Ansari, S. A. (2004). “A nonlinear, unsteady, aerodynamic model for insect-like flapping wings in the hover with micro air vehicle applications.” Ph.D. thesis, Cranfield Univ., U.K.
Berci, M., et al. (2011). “Multifidelity metamodel building as a route to aeroelastic optimization of flexible wings.” Proc. IME C J. Mech. Eng. Sci., 225(9), 2115–2137.
Bielawa, R. L. (2006). Rotary wing structural dynamics and aeroelasticity, AIAA Education Series, AIAA, Reston, VA.
Bismark-Nasr, M. (1999). Structural dynamics in aeronautical engineering, AIAA Education Series, Reston, VA.
Bisplinghoff, R. L., et al. (1955). Aeroelasticity, Addison-Wesley, Cambridge.
Borri, M., and Mantegazza, P. (1977). “Efficient solution of quadratic eigenproblems arising in dynamic analysis of structures.” Comput. Meth. Appl. Mech. Eng., 12(1), 19–31.
Bungartz, H. J., and Schafer, M. (2006). Fluid-structure interaction: Modeling, simulation, optimization, Springer, Berlin.
Chung, T. J. (2002). Computational fluid dynamics, Cambridge University Press, Cambridge, U.K.
DeLaurier, J. D. (1993). “An aerodynamic model for flapping-wing flight.” Aeronaut. J., 97(964), 125–130.
Dowell, E. H., et al. (2004). A modern course in aeroelasticity, Kluwer, Dordrecht.
Flow Science. (2009). FLOW-3D v.9.4.
Forrester, A., et al. (2008). Engineering design via surrogate modeling, Wiley, Santa Fe, NM.
Fung, Y. C. (1993). An introduction to the theory of aeroelasticity, Dover, New York.
Garrick, I. E. (1936). “Propulsion of a flapping and oscillating airfoil.”, NASA.
Giunta, A. A. (1997). “Aircraft multidisciplinary design optimisation using design of experiments theory and response surface modeling methods.” Ph.D. thesis, Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Glauert, H. (1947). The elements of aerofoil and airscrew theory, Cambridge University Press, Cambridge, U.K.
Hoblit, F. M. (1998). Gust loads on aircraft: Concepts and applications, AIAA Education Series, AIAA, Reston, VA.
Hodges, D. H., and Pierce, G. A. (2002). Introduction to structural dynamics and aeroelasticity, Cambridge University Press, New York.
Jin, R., Chen, W., and Simpson, T. W. (2001). “Comparative studies of metamodeling techniques under multiple modeling criteria.” J. Struct. Optim., 23(1), 1–13.
Jones, R. T. (1940). “The unsteady lift of a wing with finite aspect ratio.”, NASA.
Karamcheti, K. (1967). Principles of ideal-fluid aerodynamics, Wiley, New York.
Katz, J., and Plotkin, A. (2001). Low speed aerodynamics, Cambridge University Press, Cambridge, U.K.
Kesseler, E., and Guenov, M. (2010). “Advances in collaborative civil aeronautical multidisciplinary design optimization.” Progress in Astronautics and Aeronautics Series, AIAA, Reston, VA.
Kussner, H. G. (1936). “Zusammenfassender beritch uber den instationaren auftrieb von flugeln.” Luftfahrtforsch, 13(2), 410–424.
Larsen, J. W., Nielsen, S. R. K., and Krenk, S. (2007). “Dynamic stall model for wind turbine airfoils.” J. Fluids Struct., 23(7), 959–982.
Leishman, J. G. (2002). Principles of helicopter aerodynamics, Cambridge University Press, Cambridge.
Livne, E. (2003). “The future of aircraft aeroelasticity.” J. Aircraft, 40(6), 1066–1092.
Luchini, P., and Quadrio, M. (2004). Aerodinamica, Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano.
Megson, T. H. G. (2007). Aircraft structures for engineering students, Elsevier, Oxford.
Meyer, M., and Matthies, H. G. (2004). “State-space representation of instationary two-dimensional airfoil aerodynamics.” J. Wind Eng. Ind. Aerodynam., 92(3–4), 263–274.
Montgomery, D. C. (2005). Design and analysis of experiments, Wiley, Hoboken, NJ.
Morino, L., and Mastroddi, F. (2002). Applied aeroelasticity, Dipartimento di Ingegneria Aerospaziale, Universita’ di Roma.
Oh, H. W. (2010). Computational fluid dynamics, Intech, Rijeka.
Orszag, S. A., Yakhot, V., and Flannery, W. S. (1993). “Renormalization group modeling and turbulence simulations.” Near-wall turbulence flows, Elsevier, 1031–1046.
Poirel, D. (2001). “Random dynamics of a structurally nonlinear airfoil in turbulent flow.” Ph.D. thesis, McGill Univ., Montreal.
Quartapelle, L. (1993). Numerical solution of the incompressible Navier-stokes equations, Birkhäuser, Berlin.
Rade, L., and Westergren, B. (2004). Mathematics handbook for science and engineering, Springer, Berlin.
RAeS. (2005). UAV systems: Shaping the 21st century—Benefits, opportunities and challenges, Royal Aeronautical Society, London.
Rigaldo, A. (2011). “Aerodynamics gust response prediction.” M.Sc. thesis, KTH, Stockholm.
Silva, W. (1997). “Discrete-time linear and nonlinear aerodynamic impulse responses for efficient use of CFD analyses.” Ph.D. thesis, College of William & Mary, Williamsburg, VA.
Simpson, T. W., et al. (2008). “Design and analysis of computer experiments in multidisciplinary design optimisation: A review of how far we have come—Or not.”, AIAA, Reston, VA.
Svacek, P., Feistauer, M., and Horacek, J. (2007). “Numerical simulation of flow induced airfoil vibrations with large amplitudes.” J. Fluids Struct., 23(3), 391–411.
Theodorsen, T. (1935). “General theory of aerodynamic instability and the mechanism of flutter.”, NASA.
Toropov, V. V. (2001). “Modeling and approximation strategies in optimization-global and mid-range metamodels, response surface methods, genetic programming, and low/high fidelity models.” Emerging methods for multidisciplinary optimization, J. Blachut and H. A. Eschenauer, eds., CISM Courses and Lectures, No. 425, Springer, Wien.
Toropov, V. V., and Markine, V. L. (1996). “The use of simplified numerical models as mid-range approximations.”, AIAA.
Venkatesan, C., and Friedmann, P. P. (1986). “New approach to finite-state modeling of unsteady aerodynamics.” AIAA J., 24(12), 1889–1897.
Wagner, H. (1925). “Uber die entstenhung des dynamischen auftriebes von tragflugeln.” Zeitschrift für Angewandte Mathematik und Mechanik, 5(1), 17–35.
Wolberg, J. (2006). Data analysis using the method of least squares: Extracting the most information from experiments, Springer, Berlin.
Wright, J. R., and Cooper, J. E. (2007). Introduction to aircraft aeroelasticity and loads, AIAA Education Series, Reston, VA.
Young, W. C., and Budynas, R. G. (2001). Roark’s formulas for stress and strain, McGraw-Hill Professional, New York.
Zaide, A., and Raveh, D. (2006). “Numerical simulation and reduced-order modeling of airfoil gust response.” AIAA J., 44(8), 1826–1834.
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Published In
Journal of Aerospace Engineering
Volume 27 • Issue 5 • September 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jul 24, 2012
Accepted: Feb 7, 2013
Published online: May 13, 2014
Published in print: Sep 1, 2014
Discussion open until: Oct 13, 2014
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