Jb. Edson et Cw. Fairall, SIMILARITY RELATIONSHIPS IN THE MARINE ATMOSPHERIC SURFACE-LAYER FOR TERMS IN THE TKE AND SCALAR VARIANCE BUDGETS, Journal of the atmospheric sciences, 55(13), 1998, pp. 2311-2328
Measurements of the momentum, heat, moisture, energy, and scalar varia
nce fluxes are combined with dissipation estimates to investigate the
behavior of marine surface layer turbulence. These measurements span a
wide range of atmospheric stability conditions and provide estimates
of z/L between -8 and 1. Second- and third-order velocity differences
are first used to provide an estimate of the Kolmogorov constant equal
to 0.53 +/- 0.04. The fluxes and dissipation estimates are then used
to provide Monin-Obukhov (MO) similarity relationships of the various
terms in the turbulent kinetic energy (TKE) and scalar variance (SV) b
udgets. These relationships are formulated to have the correct limitin
g forms in extremely stable and convective conditions. The analyses co
ncludes with a determination of updated dimensionless structure functi
on parameters for use with the inertial-dissipation flux method. The p
roduction of TKE is found to balance its dissipation inconvective cond
itions and to exceed dissipation by up to 17% in near-neutral conditio
ns. This imbalance is investigated using the authors' measurements of
the energy flux and results in parameterizations for the energy flux a
nd energy transport term in the TKE budget. The form of the dimensionl
ess energy transport and dimensionless dissipation functions are very
similar to previous parameterizations. From these measurements, it is
concluded that the magnitude of energy transport (a loss of energy) is
larger than the pressure transport (a gain of energy) in slightly uns
table conditions. The dissipation of SV is found to closely balance pr
oduction-in near-neutral conditions. However, the SV budget can only b
e balanced in convective conditions by inclusion of the transport term
. The SV transport term is derived using our estimates of the flux of
SV and the derivative approach. The behavior of the derived function r
epresents a slight loss of SV in near-neutral conditions and a gain in
very unstable conditions. This finding is consistent with previous in
vestigations. The similarity between these functions and recent overla
nd results further suggests that experiments are generally above the r
egion where wave-induced fluctuations influence the flow. The authors
conclude that MO similarity theory is valid in the marine surface laye
r as long as it is applied to turbulence statistics taken above the wa
ve boundary layer.