Abstract
The capabilities of the sensitivity-equation method are presented in context of aerodynamic analysis of hypersonic flight and air-breathing propulsion systems. The method yields stability derivatives, provides parametric guidance, accurately predicts boundary-layer thinning and growth, the onset of flow separation, separation bubbles, and the driving mechanisms in chemically reacting flows. The accuracy of sensitivity-equation calculations are assessed for viscous, chemically reacting flows with comparisons to theoretical and central-difference results. The sensitivity results are used to prioritize design variables by level of relative influence. Being linear, the sensitivity solutions require 10% or less of the computational effort needed to compute flow solutions.
This work was supported by the NASA SBIR program.
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
E. M. Cliff and A. G. Godfrey. Direct Calculation of Aerodynamic Force Derivatives: A Sensitivity Equation Approach, AIAA Paper 98–0393, 36th AIAA Aerospace Sciences Meeting and Exhibit, January 12–15, 1998.
J. P. Drummond, R. C. Rogers and M. Y. Hussaini. A Detailed Numerical Model of a Supersonic Reacting Mixing Layer, AIAA Paper 86–1427, AIAA/ASME/SAE/ASEE 22 nd Joint Propulsion Conference, June 16–18, 1986.
P. Guntermann and G. Dietz. Investigation of an NLF(1)-0416 Airfoil in Compressible Subsonic Flow, In A Selection of Experimental Test Cases for the Validation of CFD Codes, Vol. I and II, AGARD AR-303, Neuilly-Sur-Seine, Canada, 1994.
R. Oldenborg, W. Chinitz, M. Friedman, R. Jaffe, C. Jachimowski, M. Rabinowitz and G. Schott. Hypersonic Combustion Kinetics, NASP TM 1107, National Aeronautics and Space Administration, 1990.
D. H. Singh, M. H. Carpenter and A. Kumar. Numerical Simulation of Shock-Induced Combustion/Detonation in a Premixed H2-Air Mixture Using the Navier-Stokes Equations, AIAA Paper 91–3359, AIAA, SAE,ASME, and ASEE 27 th Joint Propulsion Conference, Sacramento, California, June 24–26 1991.
D. M. Somers. Design and Experimental Results for a Natural-Laminar-Flow Airfoil for General-Aviation Applications, NASA TP-1861, National Aeronautics and Space Administration, June 1981.
R. W. Walters, P. Cinnella, D. C. Slack and D. Halt. Characteristic-Based Algorithms for Flows in Thermo-Chemical Nonequilibrium. AIAA Journal,30(5):1304–1313, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Godfrey, A.G. (1998). Using Sensitivities for Flow Analysis. In: Borggaard, J., Burns, J., Cliff, E., Schreck, S. (eds) Computational Methods for Optimal Design and Control. Progress in Systems and Control Theory, vol 24. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1780-0_11
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1780-0_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7279-3
Online ISBN: 978-1-4612-1780-0
eBook Packages: Springer Book Archive