C. Pasquero, A. Provenzale, A. Babiano
ICG - CNR (Torino)
claudia@icg.to.infn.it
(Abstract received 07/31/2000 for session B)
ABSTRACT
The classical approach to the study of tracer advection in large-scale geophysical flows is based on separating the effects of the mean flow (that is slowly variable in space and time) from that turbulent dynamics acting on smaller scales. When it is not resolved, the turbulent velocity is often considered as a random variable, and its effects are usually described in term of an eddy diffusivity. It has been shown in the past years that the presence of coherent structures may modifie the dispersion properties. We here study the dispersion of tracers in a statistically stationary two-dimensional turbulent field, through the analysis of statistical characteristics as the dispersion coefficient, the distribution of displacements, the velocity autocorrelation function and the first exite time. We then develope a non linear stochastic model which takes into account of the nonlocal effects coherent structures have on the velocity field. We show, on the other hand, that the modelization of the advecting field as a sum of coherent vortices fails in reproducing the turbulent dynamics, indicating that both the coherent structures and a lower energy vorticity component (the "background") are necessary for reproducing the advecting field. The parameterization, which provides a large improvement in the description of the turbulent statistics, uses few parameters, whose values can be set from observative lagrangian properties, such as autocorrelation function and velocity distribution.