Abstract
In this paper, the focused sonic boom problem, governed by a transonic flow, mixed type equation is solved numerically using Murman’s scheme. The results of the two dimensional calculations, based on a model proposed by Hayes are presented and the focusing effect is clearly detected. Next, a three dimensional model introduced by Cheng is examined. The numerical solutions confirm that the three dimensional effects are important. Finally, the results of the local analysis of the sonic boom propagation, in stratified atmosphere, are discussed.
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References
Sonic Boom Research, NASA SP-147, (ed) Seebass, R., 1967
Second Conference on Sonic Boom Research, NASA SP-180, (ed) Schwaitz, I., 1968
Third Conference on Sonic Boom Research, NASA SP-255, (ed) Schwaitz, I., 1971
Seebass, R., “Sonic Boom Theory”, J. Aircraft, Vol. 6, No. 3, pp. 177–184, 1969
Hayes, W., Sonic Boom, Annual Review of Fluid Mechanics, Vol. 3, 1971
Status of Sonic Boom Methodology and Understanding, NASA Conference Publication 3027, 1989
The Third High-Speed Research: 1994 Sonic Boom Workshop, NASA Conference Publication 3279, (ed) McCurdy, D., 1994
Hayes, W., “Similarity Rules for Nonlinear Acoustic Propagation Through A Caustic”, 2nd Conference on Sonic Boom Research, NASA SP-180, pp. 165 — 177, 1969
Seebass, R., “Nonlinear Acoustic Behavior at A Caustic”, in Proceedings of 3rd Conference on Sonic Boom Research, NASA SP-255, 1970
Seebass, R., Murman, E., and Krupp, J., “Finite Difference Calculation of the Behavior of A Discontinuous Signal near A Caustic”, in Proceedings of 3rd Conference on Sonic Boom Research, NASA SP-255, 1970, pp. 361–371
Cheng, H.K., “Sonic Boom Propagation in A Stratified Atmosphere”, Presented at a conference on “Fundamental Research in Aerospace Science”, Zhukovsky, Russia, Sept., 1994
Cheng, H.K., Guo, W.H., Hafez, M.M. and Lee, C.J., “The CFD Problems of Sonic Boom Propagation in A Stratified Atmosphere”, Presented at the 1st Asian Computational Fluid Dynamics Conference, HongKong, Jan., 1995
Lighthill, J., “Reflection at A Laminar Boundary Layer of A Weak Steady Dis-turbance due to A Supersonic Stream Neglecting Viscosity and Heat Conduction”, Quart. J. Mech. Appl. Math., Vol. 3, 1950, pp. 303–325
Murman, E. and Cole, J., “Calculation of Plane Steady Transonic Flow”, AIAA Journal, Vol.9, No.1, 1971, pp. 114–121
Murman, E., “Analysis of Embedded Shock Calculated by Relaxation Methods”, AIAA Journal, Vol. 12, No. 5, 1974, pp. 626–633
Collyer, M. and Lock, R., “Improvements to the Viscous Carabedian and Korn Method for Calculating Transonic Flow Past An Airfoil”, RAE Technical Report 78039, 1978
Hafez, M.M. and Lovel, D., “Entropy and Vorticity Correction for Transonic Flows”, Int. J. Num. Methods in Fluids, Vol. 8, pp. 31–53, 1988
Guo, W.H. and Hafez, M.M., “Shock-Fitting for Sonic Boom Calculations”, in Proceedings of International Conference on Computational Engineering Science, (ed) Atluri, S. and Yagawa, G., July, 1995
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This paper is dedicated to Prof. S. Atluri
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© 1995 Springer-Verlag Berlin Heidelberg
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Guo, W.H., Hafez, M.M. (1995). Numerical Simulation of the Super Boom Problem. In: Batra, R.C. (eds) Contemporary Research in Engineering Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80001-6_9
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DOI: https://doi.org/10.1007/978-3-642-80001-6_9
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