A series of large-eddy simulations have been performed to explore boun
dary layer entrainment under conditions of a strongly capped inversion
layer with the boundary layer dynamics driven dominantly by buoyant f
orcing. Different conditions explored include cloud-top cooling versus
surface heating, smoke clouds versus water clouds, variations in cool
ing height and optical depth of longwave radiation, degree of cloud-to
p evaporative instability, and modest wind shear. Boundary layer entra
inment involves transport and mixing over a full range of length scale
s, as warm fluid from the region of the capping inversion is first tra
nsported into the boundary layer and then mixed throughout. While entr
ainment is often viewed as the small-scale process of,capturing warm f
luid from the inversion into The top of the boundary layer, this need
not be the physics that ultimately determines the entrainment rate. In
these simulations the authors End instead that the entrainment rate i
s often limited by the boundary layer-scale eddy transport and is ther
efore surprisingly insensitive to the smaller scales of mixing near th
e inversion. The fraction of buoyant energy production available to dr
ive large eddies that is lost to entrainment rather than dissipation w
as found to be nearly constant over a wide range of simulation conditi
ons, with no apparent fundamental difference between top- versus botto
m-driven or cloudy versus clear boundary layers. In addition, it is fo
und that for quasi-steady boundary layers with dynamics driven by clou
d-top cooling there is an effective upper limit on the entrainment rat
e for which the boundary layer dynamics just remains coupled, which is
often approached when the cloud top is evaporatively unstable.