Predicting the collapse of turbulence in stably stratified boundary layers

B.J.H. Wiel, van de, A.F. Moene, G.J. Steeneveld, O.K. Hartogensis, A.A.M. Holtslag

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Abstract

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.
Original languageEnglish
Pages (from-to)251-274
JournalFlow, Turbulence and Combustion
Volume79
Issue number3
DOIs
Publication statusPublished - 2007

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boundary layers
Boundary layers
Turbulence
turbulence
Linear stability analysis
Computer simulation
Channel flow
Laminar flow
Turbulent flow
Heat flux
channel flow
Surface roughness
laminar flow
turbulent flow
closures
heat flux
roughness
simulation
configurations
predictions

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Wiel, van de, B. J. H., Moene, A. F., Steeneveld, G. J., Hartogensis, O. K., & Holtslag, A. A. M. (2007). Predicting the collapse of turbulence in stably stratified boundary layers. Flow, Turbulence and Combustion, 79(3), 251-274. https://doi.org/10.1007/s10494-007-9094-2
Wiel, van de, B.J.H. ; Moene, A.F. ; Steeneveld, G.J. ; Hartogensis, O.K. ; Holtslag, A.A.M. / Predicting the collapse of turbulence in stably stratified boundary layers. In: Flow, Turbulence and Combustion. 2007 ; Vol. 79, No. 3. pp. 251-274.
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Wiel, van de, BJH, Moene, AF, Steeneveld, GJ, Hartogensis, OK & Holtslag, AAM 2007, 'Predicting the collapse of turbulence in stably stratified boundary layers', Flow, Turbulence and Combustion, vol. 79, no. 3, pp. 251-274. https://doi.org/10.1007/s10494-007-9094-2

Predicting the collapse of turbulence in stably stratified boundary layers. / Wiel, van de, B.J.H.; Moene, A.F.; Steeneveld, G.J.; Hartogensis, O.K.; Holtslag, A.A.M.

In: Flow, Turbulence and Combustion, Vol. 79, No. 3, 2007, p. 251-274.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Wiel, van de, B.J.H.

AU - Moene, A.F.

AU - Steeneveld, G.J.

AU - Hartogensis, O.K.

AU - Holtslag, A.A.M.

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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.

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