Langevin approach to generate synthetic turbulence

Details Langevin approach to generate synthetic turbulence Langevin approach to generate synthetic turbulence

1997-03-25

arxiv.org/abs/chao-dyn/9703015v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, REVTEX, 6 figures. To appear in Physics of Fluids (April 1997)

Scientific paper

10.1063/1.869201

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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