Geodesic
On modeling of homogeneous random fields and signals and their applications in aeroacoustics problems
Matematičeskoe modelirovanie, Tome 19 (2007) no. 10, pp. 76-88.

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We consider a method for random signal and homogeneous random fields numerical generation and their application examples for aeroacoustics problems. The stochastic fields are modeled using Randomized Spectral Method. Generalized algorithm for developing smooth realizations of random processes with specific energy spectrum is used for two pulsation models: a homogeneous turbulent velocity field with von Karman spectrum and a noise model with piecewise constant spectrum. We are studying two aeroacoustics problems using developed models. Uniformly distributed in specified frequency band noise (“pink” noise) is used as disturbance in boundary for mixing layers problem. Another problem uses turbulent velocity fields as an input parameter in a acoustic wave dispersion on turbulent background. 
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I. A. Borovskaya; T. K. Kozubskaya; O. Kurbanmuradov; K. K. Sabelfeld. On modeling of homogeneous random fields and signals and their applications in aeroacoustics problems. Matematičeskoe modelirovanie, Tome 19 (2007) no. 10, pp. 76-88. http://geodesic.mathdoc.fr/item/MM_2007_19_10_a6/

[1] C. Bailly, O. Lafon, S. Candel, “A Stochastic Approach to Compute Noise Generation and Radiation for Free Turbulent Flows”, AIAA, 1995, 092

[2] W. Bechara, C. Bailly, O. Lafon, “Stochastic Approach to Noise Modeling for Free Turbulent Flows”, Journal of Acoust. Soc. Am., 97:6, 3518–3531 | DOI

[3] M. Billson, L. E. Eriksson, L. Davidson, “Jet Noise Prediction Using Stochastic Turbulent Modeling”, AIAA, 2003, 3282

[4] T. Kozubskaya, I. Abalakin, V. Bobkov, “A Half-Stochastic Model for Noise Simulation in Free Turbulent Flows”, AIAA, 2001, 2258

[5] R. Ewert, R. Emunds, “CAA Slat Noise Studies Applying Stochastic Sound Sources Based On Solenoidal Digital Filters”, AIAA, 2005, 2862, 11th AIAA/CEAS Aeroacoustics Conference (26th AIAA Aeroacoustics Conference) 23–25 May 2005, Monterey, California

[6] R. Ewert, The Simulation Of Slat Noise Applying Stochastic Sound Sources Based On Solenoidal Digital Filters (SDF), Euromech Colloquium 467: Turbulent Flow and Noise Generation July 18–20, 2005, Marseille, France

[7] C. Bailly, D. Juve, “A Stochastic Approach To Compute Subsonic Noise Using Linearized Euler's Equations”, AIAA, 1999, 1872

[8] G. Goedecke, D. Wilson, V. Ostashev, H. Auvermann, Quasi-wavelet models for atmospheric turbulence in Proceedings, 15th Symposium on Boundary Layers and Turbulence, American Meteorological Society, Wageningen, The Netherlands, 2002

[9] A. S. Ginevskii, E. V. Vlasov, R. K. Karavosov, Akusticheskoe upravlenie turbulentnymi struyami, Fizmatlit, M., 2001

[10] O. Kurbanmuradov, K. Sabelfeld, “Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields”, Monte Carlo Methods Appl., 12:5–6 (2006), 395–445 | DOI | MR | Zbl

[11] S. M. Ermakov, G. A. Mikhailov, Kurs statisticheskogo modelirovaniya, Nauka, M., 1976 | MR

[12] I. A. Borovskaya, “Modelirovanie odnorodnykh sluchainykh polei po zadannomu spektru v zadachakh aeroakustiki”, Matem. modelirovanie, 19:7 (2007), 67–76 | MR

[13] Dzh. K. Betchelor, Teoriya odnorodnoi turbulentnosti, Izd-vo inostrannoi lit-ry, M., 1955

[14] V. Bunimovich, Flyuktuatsionnye protsessy v radiopriemnykh ustroistvakh, Sovetskoe radio, M., 1951

[15] A. A. Sveshnikov, Prikladnye metody teorii sluchainykh funktsii, Sudpromgiz, 1961 | MR

[16] E. S. Ventsel, L. A. Ovcharov, Teoriya sluchainykh protsessov i ee inzhenernye prilozheniya, Vysshaya shkola, M., 2000

[17] I. V. Abalakin, A. Dervieux, T. K. Kozubskaya, “On the accuracy of direct noise calculations based on the Euler model”, International Journal of Aeroacoustics, 3:2 (2004), 157–180 | DOI

[18] I. V. Abalakin, T. K. Kozubskaya, “Mnogoparametricheskoe semeistvo skhem povyshennoi tochnosti dlya lineinogo uravneniya perenosa”, Matem. modelirovanie, 19:7 (2007), 56–66 | MR | Zbl

[19] F. Bastin, P. Lafon, S. Candel, “Computation of jet mixing noise due to coherent structures: the plane jet case”, J. Fluid Mech., 335 (1997), 261–304 | DOI | Zbl

[20] A. T. Fedorchenko, “O vozdeistvii melkomasshtabnoi turbulentnosti na razvitie kogerentnykh struktur v sloe smesheniya”, Dokl. SSSR, 302:6 (1988), 1327–1332 | MR | Zbl