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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2019 Volume 31, Number 10, Pages 49–62 (Mi mm4117)

This article is cited in 10 papers

Generation of three-dimensional homogeneous isotropic turbulent velocity fields based on the randomized spectral method

A. V. Alexandrova, L. W. Dorodnicynb, A. P. Dubena

a Keldysh Institute for Applied Mathematics RAS, Moscow
b Lomonosov Moscow State University

Abstract: In this study, a stochastic method for generation of artificial three-dimensional, divergence-free, homogeneous and isotropic velocity fields is examined. The technique is based on the Randomized Spectral Method. The turbulent fields constructed by this generator are analyzed in the view of statistical and spectral properties. A LES-based computation which imposes the obtained turbulent fields as initial conditions is used for validation and exhibits a good agreement with the experimental data.

Keywords: synthetic turbulence, randomized spectral method, homogeneous isotropic turbulence.

Received: 04.03.2019
Revised: 25.06.2019
Accepted: 01.07.2019

DOI: 10.1134/S0234087919100046


 English version:
Mathematical Models and Computer Simulations, 2020, 12:3, 388–396

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© Steklov Math. Inst. of RAS, 2025