Wd. Smyth et Wr. Peltier, 2-DIMENSIONAL TURBULENCE IN HOMOGENEOUS AND STRATIFIED SHEAR LAYERS, Geophysical and astrophysical fluid dynamics, 69(1-4), 1993, pp. 1-32
We investigate the development of two-dimensional turbulence in a temp
orally-growing shear layer. This is accomplished through the applicati
on of numerical simulation techniques in computational domains which a
ccommodate many wavelengths of the primary Kelvin-Helmholtz instabilit
y. Both homogeneous and density-stratified flows are considered. Sprea
ding rates of homogeneous and stratified shear layers are computed and
compared with the results of laboratory experiments. We show that she
ar-driven vortex mergers generate downscale enstrophy cascades through
filamentation, as do the mergers which occur in the isotropic case. I
n the long-time limit, homogeneous shear layers are dominated by a sin
gle coherent vortex. The addition of even a slight degree of stratific
ation alters the vortex dynamics dramatically. Vortex filaments which
are generated and stabilized by the straining deformations between adj
acent large vortices are reinforced by the baroclinic torque. As a res
ult, these structures ultimately dominate the vorticity field in weakl
y-stratified flows. In strongly-stratified cases, pairing instability
is suppressed and the flow relaxes quickly to a stable parallel state.