TY - JOUR
T1 - On the velocity gradient in stably stratified sheared flows. Part 1
T2 - Asymptotic analysis and applications
AU - Zilitinkevich, S. S.
AU - Esau, I.
AU - Kleeorin, N.
AU - Rogachevskii, I.
AU - Kouznetsov, R. D.
N1 - Funding Information:
Acknowledgements This work has been supported by the EC FP7 projects ERC PBL-PMES (No. 227915) and MEGAPOLI (No. 212520); and the Norwegian Research Council project 191516/V30 Planetary Boundary Layer Feedback in the Earth’s Climate System.
PY - 2010/6/1
Y1 - 2010/6/1
N2 - We give a new derivation of the familiar linear relation for the dimensionless velocity gradient in the stably stratified surface layer and provide physical and empirical grounds for its universal applicability in stationary homogeneous turbulence over the whole range of static stabilities from Ri = 0 to very large Ri. Combining this relation with the budget equation for the turbulent kinetic energy we obtain the "equilibrium formulation" of the turbulent dissipation length scale, and recommend it for use in turbulence closure models.
AB - We give a new derivation of the familiar linear relation for the dimensionless velocity gradient in the stably stratified surface layer and provide physical and empirical grounds for its universal applicability in stationary homogeneous turbulence over the whole range of static stabilities from Ri = 0 to very large Ri. Combining this relation with the budget equation for the turbulent kinetic energy we obtain the "equilibrium formulation" of the turbulent dissipation length scale, and recommend it for use in turbulence closure models.
KW - Flux Richardson number
KW - Stationary and homogeneous regime
KW - Strong static stability
KW - Turbulence closure
KW - Turbulent dissipation length scale
KW - Turbulent kinetic energy
KW - Velocity gradient
UR - http://www.scopus.com/inward/record.url?scp=77952420024&partnerID=8YFLogxK
U2 - 10.1007/s10546-010-9488-x
DO - 10.1007/s10546-010-9488-x
M3 - Article
AN - SCOPUS:77952420024
SN - 0006-8314
VL - 135
SP - 505
EP - 511
JO - Boundary-Layer Meteorology
JF - Boundary-Layer Meteorology
IS - 3
ER -