TY - JOUR
T1 - Predicting the collapse of turbulence in stably stratified boundary layers
AU - Wiel, van de, B.J.H.
AU - Moene, A.F.
AU - Steeneveld, G.J.
AU - Hartogensis, O.K.
AU - Holtslag, A.A.M.
PY - 2007
Y1 - 2007
N2 - The collapse of turbulence in a plane channel flow is studied, as a simple analogy of stably stratified atmospheric flow. Turbulence is parameterized by first-order closure and the surface heat flux is prescribed, together with the wind speed and temperature at the model top. To study the collapse phenomenon both numerical simulations and linear stability analysis are used. The stability analysis is nonclassical in a sense that the stability of a parameterized set of equations of a turbulent flow is analyzed instead of a particular laminar flow solution. The analytical theory predicts a collapse of turbulence when a certain critical value of the stability parameter d/L (typically O(0.5–1)) is exceeded, with d the depth of the channel and L the Obukhov length. The exact critical value depends on channel roughness to depth ratio z0/d. The analytical predictions are validated by the numerical simulations, and good agreement is found. As such, for the flow configuration considered, the present framework provides both a tool and a physical explanation for the collapse phenomenon.
AB - The collapse of turbulence in a plane channel flow is studied, as a simple analogy of stably stratified atmospheric flow. Turbulence is parameterized by first-order closure and the surface heat flux is prescribed, together with the wind speed and temperature at the model top. To study the collapse phenomenon both numerical simulations and linear stability analysis are used. The stability analysis is nonclassical in a sense that the stability of a parameterized set of equations of a turbulent flow is analyzed instead of a particular laminar flow solution. The analytical theory predicts a collapse of turbulence when a certain critical value of the stability parameter d/L (typically O(0.5–1)) is exceeded, with d the depth of the channel and L the Obukhov length. The exact critical value depends on channel roughness to depth ratio z0/d. The analytical predictions are validated by the numerical simulations, and good agreement is found. As such, for the flow configuration considered, the present framework provides both a tool and a physical explanation for the collapse phenomenon.
U2 - 10.1007/s10494-007-9094-2
DO - 10.1007/s10494-007-9094-2
M3 - Article
VL - 79
SP - 251
EP - 274
JO - Flow, Turbulence and Combustion
JF - Flow, Turbulence and Combustion
SN - 1386-6184
IS - 3
ER -