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Phys. Rev. E 48, 2279–2287 (1993)

Stochastic generation of homogeneous isotropic turbulence with well-defined spectra

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A. Careta and F. Sagués
Departament de Química Física, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

J. M. Sancho
Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

Received 20 April 1993; published in the issue dated September 1993

A precise and simple computational model to generate well-behaved two-dimensional turbulent flows is presented. The whole approach rests on the use of stochastic differential equations and is general enough to reproduce a variety of energy spectra and spatiotemporal correlation functions. Analytical expressions for both the continuous and the discrete versions, together with simulation algorithms, are derived. Results for two relevant spectra, covering distinct ranges of wave numbers, are given.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.48.2279
DOI:
10.1103/PhysRevE.48.2279
PACS:
02.70.-c, 47.27.Eq, 05.40.+j