Sonic boom mitigation via shape optimization using an adjoint method and application to a supersonic fighter aircraft
DOI:
https://doi.org/10.13052/REMN.17.217-243Keywords:
adjoint method, ray tracing, shape optimization, sonic boomAbstract
This paper describes a computational method for the analysis and mitigation via shape optimization of the sonic boom associated with supersonic flight. The method combines a CFD approach for determining the near-field pressure field and an acoustic scheme for predicting the initial shock pressure rise at the ground. Two venues are considered for computing the ground signature. The performance of both approaches is evaluated using flight test data of two different configurations of an F5 fighter aircraft.
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References
Bletzinger K.-U., Kimmich S., Ramm E., “ Efficient Modeling in Shape Optimal Design”,
Computing Systems in Engineering, vol. 2, 1991, p. 483-495.
Busemann A., “ The Relation between Minimizing Drag and Noise at Supersonic Speeds”,
Proceedings of High Speed Aerodynamics, Polytechnic Institute of Brooklyn, 1955, p. 133-
Carlson H. W., Correlation of Sonic-boom Theory withWind-tunnel and Flight Measurements,
Technical Report, NASA TR R-213, 1964.
Carlson H.W., Barger R. L.,Mack R. J., Application of Sonic-boom Minimization Concepts in
Supersonic Transport Design, Technical Report, NASA TN D-7218, 1973.
Darden C. M., “ Sonic Boom Theory: Its Status in Prediction and Minimization”, J. Aircraft,
vol. 129, n° 6, 1977, p. 569-576.
Degand C., Farhat C., “ A Three-dimensional Torsional Spring Analogy Method for Unstructured
Dynamic Meshes”, Computers and Structures, vol. 80, n° 3-4, 2002, p. 305-316.
Farhat C., Degand C., Koobus B., Lesoinne M., “ Torsional Springs for Two-Dimensional Dynamic
Unstructured Fluid Meshes”, Computer Methods in Applied Mechanics and Engineering,
vol. 163, 1998, p. 231-245.
Farhat C., Argrow B., Nikbay M., Maute K., “ A Shape Optimization Methodology with
F-Function Lobe Balancing for Mitigating the Sonic Boom”, AIAA 2002-5551, 49th
AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 4-6,
, Atlanta, GA, 2002a.
Farhat C., Geuzaine P., Brown G., “ Application of a Three-Field Nonlinear Fluid-Structure
Formulation to the Prediction of the Aeroelastic Parameters of an F-16 Fighter”, Computers
and Fluids, vol. 32, n° 1, 2003, p. 3-29.
Farhat C., Maute K., Argrow B., Nikbay M., “ A Shape Optimization Methodology for Reducing
the Sonic Boom Initial Pressure Rise”, AIAA 2002-0145, 40th Aerospace Sciences
Meeting & Exhibit, January 14-17, 2002, Reno, NV, 2002b.
Farhat C., Argrow B., Nikbay M., Maute K., “ Shape Optimization with F-Function Balancing
for Reducing the Sonic Boom Initial Shock Pressure Rise”, The International Journal of
Aeroacoustics, vol. 3, 2004, p. 361-377.
Farhat C., Maute K., Argrow B., Nikbay M., “ A Shape Optimization Methodology for Reducing
the Sonic Boom Initial Pressure Rise”, AIAA J., vol. 45, 2007, p. 1007-1018.
George A., Seebass R., “ Sonic Boom Minimization including both Front and Rear Shock
Waves”, AIAA J., vol. 10, n° 10, 1969, p. 2091-2093.
Hayes W. D., Haefeli R. C., “ The ARAP Sonic Boom Program”, Sonic Boom Workshop, NASA
SP-180, 1968, p. 151-158.
High Speed Civil Transport – Program Review, Boeing Commercial Airplane Group, P.O. Box
, Seattle, WA 98124-2207, n.d.
Imam M. H., “ Three–dimensional Shape Optimization”, International Journal for Numerical
Methods in Engineering, vol. 18, 1982, p. 661-673.
Jameson A., Essential Elements of Computational Algorithms for Aerodynamic Analysis and
Design, Technical Report, NASA/CR-97-206268, ICASE Report No. 97-68, 1997.
Jameson A., Martinelli L., Pierce N., “ Optimum Aerodynamic Design using the Navier-Stokes
Equations”, Theoretical and Computational Fluid Dynamics, vol. 10, 1998, p. 213-237.
Karr C., Bowersox R., Singh V., “ Minimization of Sonic Boom on Supersonic Aircraft Using
an Evolutionary Algorithm”, Proceedings of GECCO, Springer-Verlag Berlin Heidelberg,
, p. 2157-2167.
Kreisselmeier G., Steinhauser R., “ Application of Vector Performance Optimization to a Robust
Control Loop Design for a Fighter Aircraft”, Int. J. of Control, vol. 37, 1983, p. 251-
Lomax H., The Wave Drag of Arbitrary Configurations in Linearized Flow as determined by
Areas and Forces in Oblique Planes, Technical Report, NACA RM A55A18, 1955.
Maman N., Farhat C., “ Matching Fluid and Structure Meshes for Aeroelastic Computations: A
Parallel Approach”, Computers and Structures, vol. 54, 1995, p. 779-785.
Maute K., Nikbay M., Farhat C., “ Coupled Analytical Sensitivity Analysis and Optimization
of Three-Dimensional Nonlinear Aeroelastic Systems”, AIAA Journal, vol. 39, n° 11, 2001,
p. 2051-2061.
Maute K., Nikbay M., Farhat C., “ Sensitivity Analysis and Design Optimization of Three-
Dimensional Nonlinear Aeroelastic Systems by the AdjointMethod”, International Journal
for Numerical Methods in Engineering, vol. 56, n° 6, 2003, p. 911-933.
McLean F. E., Some Nonasymptotic Effects on the Sonic Boom of Large Airplanes, Technical
Report, NASA TN D-2877, 1965.
Miles R., Martinelli L., Macheret S., Shneider M., Girgis I., Zaidi S., Mansfield D., Siclari
M., Smereczniak P., Kashuba R., Vogel P., “ Suppression of Sonic Boom by Dynamic Offbody
Energy Addition and Shape Optimization”, AIAA 2002-1500, 40th Aerospace Sciences
Meeting & Exhibit, January 14-17, 2002, Reno, NV, 2002.
Nadarajah S., Jameson A., Alonso J., “ Sonic Boom Reduction using an Adjoint Method for
Wing-Body Configurations in Supersonci Flows”, AIAA 2002-5547, 49th AIAA/ISSMO
Symposium on Multidisciplinary Analysis and Optimization, September 4-6, 2002, Atlanta,
GA, 2002.
Pajot J., Maute K., Zhang Y., Dunn M., “ Design of Patterned Multilayer Films with Eigenstrains
by Topology Optimization”, Journal for Solids and Structures, vol. 43, n° 6, 2006,
p. 1832-1853.
Pawlowski J., Graham D., “ Shaped Sonic Boom Demonstration – Program Overview”,
http://www.sonicbooms.org, 2004.
Plotkin K., Page J., Graham D., Pawlowski J., Schein D., Coen P., “ Ground Measurements of a
Shaped Sonic Boom”, AIAA-2004-2923, 10th AIAA/CEAS Aeroacoustics Conference, May
-12, 2004, Manchester, Great Britain, 2004.
Quiet Sonic Platform (QSP), http://www.darpa.mil/tto/programs/qsp.html, n.d.
Rallabhandi S., Mavris D., “ Sonic Boom Minimization using Improved Linearized Tools and
Probabilistic Propagation”, J. Aircraft, vol. 43, n° 6, 2006, p. 1815-1823.
Raulli M., Maute K., “ Symbolic Geometric Modeling and Parametrization for Multiphysics
Shape Optimization”, AIAA 2002-5648, 9th AIAA/ISSMO Symposium on Multidisciplinary
Analysis and Optimization, September 4-6, 2002, Atlanta, USA, 2002.
Rupp C., Evgrafov A., Maute K., Dunn M., “ Design of Phononic Materials/Structures for Surface
Wave Devices Using Topology Optimization”, Structural and Multidisciplinary Optimization,
vol. 34, n° 2, 2007, p. 111-122.
Samareh J., “ A Survey of Shape Paramterization Techniques”, CEAS/AIAA/ICASE/NASA Langley
International Forum on Aeroelasticity and Structural Dynamics, June 22-25, 1999,
Williamsburg, VA, 1999, p. 333-343.
Schittkowski K., “ NLPQL: A FORTRAN Subroutine for Solving Constrained Nonlinear Programming
Problems”, Annals of Operations Research, vol. 5, 1985, p. 485-500.
Sigmund O., “ Design of Multiphysics Actuators using Topology Optimization – Part I: One–
material Structures”, Computer Methods in Applied Mechanics and Engineering, vol. 190,
n° 49-50, 2001, p. 6577-6604.
Vázquez M., Koobus B., Dervieux A., Aerodynamical and Sonic Boom Optimization of a Supersonic
Aircraft, Technical report, INRIA Research Report RR-4520, 2002.
Vázquez M., Koobus B., Dervieux A., “ Multilevel Optimization of a Supersonic Aircraft”,
Finite Elements in Analysis and Design, vol. 40, n° 15, 2004, p. 2101 - 2124.
Vázquez M., Koobus B., Dervieux A., “ A methodology for the Shape Optimization of Flexible
Wings”, Engineering Computations, vol. 23, n° 4, 2006, p. 344-367.
Walkden F., “ The Shock Pattern of aWing-body Combination, far from the Flight Path”, Aeronautical
Quarterly, vol. IX, n° 2, 1958, p. 164-194.
Whitham G., “ The Flow Pattern of a Supersonic Projectile”, Commun. Pure Appl.Math., vol. 5,
n° 3, 1952, p. 301-348.
Yamaguchi H., Nakamura Y., “ Optimization of Low Boom Configuration of SST by Genetic
Algorithm”, AIAA Paper No. 98-2899, 29th AIAA Fluid Dynamics Conference, June 15-18,
, Albuquerque, New Mexico, 1998.