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Langevin approach to generate synthetic turbulent flows

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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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MARTÍ PÉREZ, Arturo C., et al. Langevin approach to generate synthetic turbulent flows. Physics of Fluids. 1997. Vol. 9, num. 4, pags. 1078-1084. ISSN 0021-8979. [consulted: 1 of July of 2026]. Available at: https://hdl.handle.net/2445/24897

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