Gp. Martin et Ej. Delhez, 3D TURBULENCE FIELD ON THE NORTH-WESTERN EUROPEAN CONTINENTAL-SHELF, Tellus. Series A, Dynamic meteorology and oceanography, 46(2), 1994, pp. 98-112
The 3-dimensional, non-linear, baroclinic, GHER mathematical model for
the study of mesoscale motions (time scale of several hours to severa
l days: tides, storm surges, ...) is described. Particular attention i
s paid to the turbulent closure based on an evolution equation for the
turbulent kinetic energy and a parametric expression of the mixing le
ngth (k-model). Appropriate boundary conditions and numerical techniqu
es (mode-splitting, implicity, sigma-coordinate system, advection sche
me) are described. The model is applied to the simulation of the M2 ti
de on the North-Western European Continental Shelf not only without wi
nd but also in typical winter and summer conditions. Large spatial var
iations of the turbulent kinetic energy appear as a result of the vari
ations of depth and tidal activity around the shelf. These variations
are clearly related to the different turbulence regimes observed in su
mmer, with frontal structures separating well-mixed waters from strati
fied ones. The structure and evolution of the vertical profiles of tur
bulence variables are described and explained in barotropic and barocl
inic conditions, under different wind forcings. The evolution of these
profiles at the M2 tide frequency largely depends on the eccentricity
of the tidal ellipse.