Geodesic
Modeling of homogeneous random fields with specific spectrum for aeroacoustics problems
Matematičeskoe modelirovanie, Tome 19 (2007) no. 7, pp. 67-76

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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. 
@article{MM_2007_19_7_a5,
     author = {I. A. Borovskaya},
     title = {Modeling of homogeneous random fields with specific spectrum for aeroacoustics problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {67--76},
     publisher = {mathdoc},
     volume = {19},
     number = {7},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_7_a5/}
}
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I. A. Borovskaya. Modeling of homogeneous random fields with specific spectrum for aeroacoustics problems. Matematičeskoe modelirovanie, Tome 19 (2007) no. 7, pp. 67-76. http://geodesic.mathdoc.fr/item/MM_2007_19_7_a5/