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Matem. Mod., 2007, Volume 19, Number 7, Pages 67–76 (Mi mm990)  

This article is cited in 3 scientific papers (total in 3 papers)

Modeling of homogeneous random fields with specific spectrum for aeroacoustics problems

I. A. Borovskayaab

a Moscow Institute of Physics and Technology
b Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: An algorithm for generating 2D or 3D stochastic field with specific energy spectrum is described. Two example models for aeroacoustics problems were built using the algorithm. Turbulent pulsations model is a 2D random field with Von Karman spectrum and necessary statistical moments. Pressure pulsations model is represented by unsteady in time signal with constant energy spectrum in specified frequency frame. Stochastic values were generated using Monte-Carlo method. Model and algorithm verification was carried out using correlation, statistical and spectral analysis.

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Received: 11.12.2006

Citation: I. A. Borovskaya, “Modeling of homogeneous random fields with specific spectrum for aeroacoustics problems”, Matem. Mod., 19:7 (2007), 67–76

Citation in format AMSBIB
\Bibitem{Bor07}
\by I.~A.~Borovskaya
\paper Modeling of homogeneous random fields with specific spectrum for aeroacoustics problems
\jour Matem. Mod.
\yr 2007
\vol 19
\issue 7
\pages 67--76
\mathnet{http://mi.mathnet.ru/mm990}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2369754}
\zmath{https://zbmath.org/?q=an:1137.60328}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. A. Borovskaya, T. K. Kozubskaya, O. Kurbanmuradov, K. K. Sabelfeld, “O modelirovanii odnorodnykh sluchainykh polei i signalov i ikh ispolzovanii v zadachakh aeroakustiki”, Matem. modelirovanie, 19:10 (2007), 76–88  mathnet  mathscinet  zmath
    2. 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
    3. 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
  • Математическое моделирование
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