Langevin approach to generate synthetic turbulence

A. C. Marti; J. M. Sancho; F. Sagues; A. Careta

doi:10.1063/1.869201

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arXiv · chao-dyn/9703015

Langevin approach to generate synthetic turbulence

A. C. Marti·J. M. Sancho·F. Sagues·A. Careta

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Abstract

We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian turbulent flows by using a linear Langevin equation, where the noise term acts as a stochastic stirring force. The characteristic parameters of the velocity field are well introduced, in particular the kinematic viscosity and the spectrum of energy. As an application, the diffusion of a passive scalar is studied for two different energy spectra. Numerical results are compared favorably with analytical calculations.

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A. C. Marti, J. M. Sancho, F. Sagues, A. Careta. 1997-03-25. Langevin approach to generate synthetic turbulence. https://doi.org/10.1063/1.869201

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