HR: 17:45h
AN: A34B-08 [Abstracts]
TI: Modeling the Bergeron-Findeisen Process Using PDF Methods With an Explicit Representation of
Mixing
AU: * Jeffery, C
EM: cjeffery@lanl.gov
AF: Space and Remote Sensing Sciences (ISR-2), LANL, Los Alamos, NM 87545
United States
AU: Reisner, J
EM: reisner@lanl.gov
AF: Atmospheric, Climate and Environmental Dynamics (EES-2), LANL, Los Alamos, NM 87545
United States
AB:
Currently, the accurate prediction of cloud droplet and ice crystal number concentration in cloud resolving, numerical
weather prediction and climate models is a formidable challenge. The Bergeron-Findeisen process in which ice crystals grow
by vapor deposition at the expense of super-cooled droplets is expected to be inhomogeneous in nature--some droplets will
evaporate completely in
centimeter-scale filaments of sub-saturated air during turbulent mixing while others remain unchanged [Baker et al., QJRMS,
1980]--and is unresolved at even cloud-resolving scales. Despite the large body of observational evidence in support of the
inhomogeneous mixing process affecting cloud droplet number [most recently, Brenguier et al., JAS, 2000], it is poorly
understood and has yet to be parameterized and incorporated into a numerical model.
In this talk, we investigate the Bergeron-Findeisen process using a new approach based on simulations of the probability
density function (PDF) of relative humidity during turbulent mixing. PDF methods offer a key advantage over Eulerian
(spatial) models of cloud mixing and evaporation: the low probability (cm-scale) filaments of entrained air are explicitly
resolved (in probability space) during the mixing event even though their spatial shape, size and location remain unknown.
Our PDF approach reveals the following features of the inhomogeneous mixing process during the isobaric turbulent mixing of
two parcels containing super-cooled water and ice, respectively:
(1) The scavenging of super-cooled droplets is inhomogeneous in nature; some droplets evaporate completely at early times
while others remain unchanged.
(2) The degree of total droplet evaporation during the initial mixing period depends linearly on the mixing fractions of
the two parcels and logarithmically on Damköhler number (Da)---the ratio of turbulent to evaporative time-scales.
(3) Our simulations predict that the PDF of Lagrangian (time-integrated) subsaturation (S) goes as S-1 at high Da.
This behavior results from a Gaussian mixing closure and requires observational validation.
DE: 3310 Clouds and cloud feedbacks
DE: 3367 Theoretical modeling
DE: 3379 Turbulence (4490)
SC: Atmospheric Sciences [A]
MN: Fall Meeting 2005