K. Abdella et N. Mcfarlane, A NEW 2ND-ORDER TURBULENCE CLOSURE SCHEME FOR THE PLANETARY BOUNDARY-LAYER, Journal of the atmospheric sciences, 54(14), 1997, pp. 1850-1867
A new turbulence formulation for the planetary boundary layer (PBL) is
presented and compared with large-eddy simulations (LES) for the dry
PBL. The new scheme contains a prognostic equation for the turbulent k
inetic energy. Other second-order moments are determined diagnosticall
y through a parameterization of the third-order moments that is based
on a convective mass-flux argument. For the heat flux this leads to a
nonlocal formulation with the usual down-gradient term and a counter-g
radient term. The counter-gradient term turns out to be a combination
of well-established formulations with an additional new term. The perf
ormance of the new scheme is tested in a variety of cloud-free PBL con
ditions by comparing the results with corresponding LES simulations. T
he scheme is able to accurately reproduce the LES results of the mean
as well as the turbulent quantities including third moments.