Articles | Volume 2, issue 2
https://doi.org/10.5194/npg-2-89-1995
https://doi.org/10.5194/npg-2-89-1995
30 Jun 1995
30 Jun 1995

Flux-gradient relationship for turbulent dispersion over complex terrain

F. Tampieri, U. Giostra, F. Trombetti, D. Anfossi, E. Ferrero, and G. Tinarelli

Abstract. The transfer of a passive tracer in inhomogeneous turbulent flow is investigated. Starting from Lumley's constitutive equation, we derived an expression for the ratio between the effective eddy diffusivity K and eddy diffusivity K as a function of three length scales characterizing the local turbulence structure, flux variations and turbulence inhomogeneities. The theoretical predictions for the one-dimensional case of inhomogeneous symmetric turbulence were validated through a comparison with the numerical results of a Lagrangian particle model simulating a wind tunnel experiment of dispersion in the lee of an idealized two-dimensional hill. A qualitative agreement is reached between the theoretical evaluation of K and the value obtained from the numerical simulation.