Stochastic algorithm for generation of a divergence-free anisotropic homogeneous turbulent velocity fluctuation field

A method for the generation of a synthetic turbulent field is proposed in this paper. The velocity field generated satisfies three important properties: the given Reynolds stress tensor and energy spectrum, and, besides, incompressibility. The proposed technique is based on the fully stochastic Randomized Spectral Method. Statistical properties of the turbulent fields obtained have been verified numerically.