Abstract
Ray tracing and parabolic equation methods have been used to study the properties of acoustic waves transmitted through turbulent velocity fields. A numerical simulation permits individual realizations of the turbulent field, which then allow, if desired, an ensemble averaging of the fields. Two flows have been considered, 2D isotropic turbulence, and a 2D mixing layer.The following complementary aspects are developed: the occurrence of caustics, the reinforced or weakened zones of the acoustic field, the eigenrays between a source and a receiver, and the associated travel times, variances, and scintillation index.
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References
Blanc-Benon, Ph. and Juvé, D., 1987: Statistical properties of acoustic waves propagating through turbulent thermal fields. AIAA Paper 872727, AIAA 11th Aeroacoustics Conf., Palo-Alto.
Blanc-Benon, Ph., Juvé, D., Karweit, M. and Comte-Bellot, G., 1990: Simulation numérique de la propagation des ondes acoustiques à travers une turbulence cinématique, J. d’Acoustique 3, 1, 1–8.
Blanc-Benon, Ph. and Juvé, D., 1990: Simulation numérique de la propagation d’une onde acoustique dans une turbulence bidimensionnelle par une méthode de rayons. 1er Congrès Français d’Acoustique, Supplément au Journal de Physique, Editions de Physique, C2, 1149 1152.
Candel, S.M., 1977: Numerical solution of conservation equations arising in linear wave theory: application to aeroacoustics, J. Fluid Mech., 83, 465–493.
Candel, S.M., 1979: Numerical solution of wave scattering problems in the parabolic approximation, J. Fluid Mech., 90, 465–507.
Chernov, L.A., 1960: Wave propagation in a random medium. Mc GrawHill, New York.
Codona, J.L., Creamer, D.B., Flatte, S.M., Frelich, R.G. and Henyey, F.S., 1985: Average arrival time of wave pulses through continuous random media, Phys. Rev. Letters 55, (1), 9–12.
Comte, P., Lesieur, M., Laroche, H. and Normand, X., 1989: Numerical simulations of turbulent plane shear layers–in Turbulent Shear Flows 6, Springer-Verlag, 360–380.
Corcos, G.M. and Sherman, F.S. 1984 The mixing layer: deterministic models of a turbulent flow. Part 1. Introduction and the two-dimensional flow, J. Fluid Mech., 139, 29–65.
DiNapoli, F.R. and Deavenport, R.L., 1979: Numerical models of underwater acoustic propagation. In Ocean Acoustics, ed. by J.A. De Santo, Topics in Current Physics, Springer Verlag. 79, 157.
Hesselink, L. and Sturtevant, B., 1988: Propagation of weak shocks through a random medium, J. Fluid Mech., 196, 513–553.
Ishimaru A., 1978: Wave propagation and scattering in random media, Vol. 2. Academic Press.
Keller, J.B., 1962: Wave propagation in random media. Proc. Symp. Appl. Math. 13, Amer. Math. Soc. Providence R. I.
Kraichnan, R.H., 1970: Diffusion by a random velocity field, Phys. Fluids, 13, 22–31.
Kulkarny, V.A. and White, B.S., 1982: Focusing of waves in turbulent inhomogeneous media, Phys. Fluids 25, 10, 1770–1784.
Lesieur, M., Staquet, C., Le Roy, P. and Comte, P., 1988: The mixing layer and its coherence examined from the point of view of two-dimensional turbulence, J. Fluid Mech., 192, 511–534.
Martin, J.M. and Flatte, S.M., 1988: Intensity images and statistics from numerical simulation of wave propagation in 3-D random media. Applied Optics 27, (11), 2111–2126.
Spivack, M. and Uscinski, B.J., 1988: Accurate numerical solution of the fourth-moment equation for very large values of P. J. Modern Optics, 35, 11, 1741–1755.
Tappert, F.D. 1977: The parabolic approximation method - in Wave propagation and underwater acoustics, ed. by J.B. Keller and J.S. Papadakis. Lecture Notes in Physics, Springer-Verlag. 70, 224–287.
Tatarski, V.I. 1971: The effects of the turbulent atmosphere on wave propagation. IPST Keter Press, Jerusalem.
Tatarski, V.I. and Zavorotnyi V.U., 1980: Strong fluctuations in light propagation in a randomly inhomogeneous medium. Progress in Optics, edited by E. Wolf, Vol. 18, North Holland, New York.
White, B.S., 1984: The stochastic caustic. SIAM J. Appl. Math.. 14, 1, 127–149.
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Juvé, D., Blanc-Benon, P., Comte-Bellot, G. (1991). Transmission of acoustic waves through mixing layers and 2D isotropic turbulence. In: Metais, O., Lesieur, M. (eds) Turbulence and Coherent Structures. Fluid Mechanics and Its Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7904-9_23
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DOI: https://doi.org/10.1007/978-94-015-7904-9_23
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