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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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Articles publicats en revistes (Física Quàntica i Astrofísica)

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Langevin approach to generate synthetic turbulent flows