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Matem. Mod., 2007, Volume 19, Number 10, Pages 76–88 (Mi mm1203)  

This article is cited in 2 scientific papers (total in 2 papers)

On modeling of homogeneous random fields and signals and their applications in aeroacoustics problems

I. A. Borovskayaab, T. K. Kozubskayab, O. Kurbanmuradovc, K. K. Sabelfeldde

a Moscow Institute of Physics and Technology
b Institute for Mathematical Modelling, Russian Academy of Sciences
c Center for Physics Mathematical Research, Turkmenien State University
d Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
e Weierstrass institute for Applied Analysis and Stochastics

Abstract: 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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Received: 28.08.2007

Citation: 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”, Matem. Mod., 19:10 (2007), 76–88

Citation in format AMSBIB
\Bibitem{BorKozKur07}
\by I.~A.~Borovskaya, T.~K.~Kozubskaya, O.~Kurbanmuradov, K.~K.~Sabelfeld
\paper On modeling of homogeneous random fields and signals and their applications in aeroacoustics problems
\jour Matem. Mod.
\yr 2007
\vol 19
\issue 10
\pages 76--88
\mathnet{http://mi.mathnet.ru/mm1203}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2375830}
\zmath{https://zbmath.org/?q=an:1140.76320}


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    This publication is cited in the following articles:
    1. A. V. Aleksandrov, L. V. Dorodnitsyn, A. P. Duben, “Generatsiya trekhmernykh turbulentnykh polei skorosti na osnove randomizirovannogo spektralnogo metoda”, Preprinty IPM im. M. V. Keldysha, 2018, 221, 18 pp.  mathnet  crossref  elib
    2. A. V. Aleksandrov, L. V. Dorodnitsyn, A. P. Duben, “Generatsiya trekhmernykh odnorodnykh izotropnykh turbulentnykh polei skorosti na osnove randomizirovannogo spektralnogo metoda”, Matem. modelirovanie, 31:10 (2019), 49–62  mathnet  crossref  elib
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