Second-Order Closure PBL Model with New Third-Order Moments: Comparison with LES Data

Canuto, V. M.; Minotti, F.; Ronchi, C.; Ypma, R. M.; Zeman, Otto

doi:10.1175/1520-0469(1994)051<1605:socpmw>2.0.co;2

Cited by 86 publications

(76 citation statements)

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“…These effects act through several terms of the exact ρ θ u i u k equation, and their contribution to the turbulent transport of heat in convective flows may be important, so their omission may not be justifiable. In the very stable stratified flows where the decay of turbulence is fast, the buoyancy contributions to the third-order moments can be of vital importance for the correct prediction of entrainment processes, and more sophisticated models for the turbulent transport which include buoyant influences are recommended (e.g., Zeman and Lumley, 1979;Canuto et al, 1994). In many engineering and environmental flows, however, their influence is quite weak and the gradient diffusion approximation, Eq.…”

Section: Governing Mean-field Equationsmentioning

confidence: 99%

“…That value is closer to the value C ε3 = C ε1 that Ince and Launder (1989) and other collaborators of Launder commonly used for various types of buoyancy flows. In the model proposed by Canuto et al (1994), the authors adopted C ε3 = 0.95, but they also used a smaller value of C ε2 (1.8) and introduced one additional source term (with a 3 = 0.15) associated with the stable stratification effects which normally enhance the turbulence destruction.…”

Section: / Slavko Vasić Charles a Lin And Yves Delagementioning

confidence: 99%

“…Different levels of modelling complexity used to predict penetrative convection of a mixed layer have been considered by researchers (e.g., Zeman and Lumley, 1976;André et al, 1977;Mellor and Yamada, 1982;Canuto et al, 1994). André et al (1977) included the transport equations for the thirdorder moments, but applied clipping techniques whenever these moments exceeded limits specified by certain realizability conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Zeman and Lumley (1976) employed differential models at the second-moment level. Canuto et al (1994) expressed the third-order moments as a linear combination of the derivatives of all second-order moments. An additional important difference among the models appears in the treatment of the length scale equation.…”

Section: Introductionmentioning

confidence: 99%

“…These well-known laboratory experiments conducted in water tanks were designed to simulate closely the lifting of an atmospheric inversion above heated ground. A second experiment (Deardorff and Willis, 1985) has also been used as a test case by other authors (e.g., Finger and Schmidt, 1986;Canuto et al, 1994), and their results will also be considered in this paper. The computed second-order moments will also be compared with some large-eddy simulations (LES) and the direct numerical simulation (DNS) as well as available results from field observations.…”

Section: Introductionmentioning

confidence: 99%

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Assessment of heat flux turbulence models for flows dominated by buoyancy effects

2001

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Section: Governing Mean-field Equationsmentioning

confidence: 99%

Section: / Slavko Vasić Charles a Lin And Yves Delagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Assessment of heat flux turbulence models for flows dominated by buoyancy effects

2001

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Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere

Katul

2018

Geophysical Research Letters

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A widely used assumption in boundary layer meteorology is the z independence of turbulent scalar fluxes Fs throughout the atmospheric surface layer, where z is the distance from the boundary. This assumption is necessary for the usage of Monin‐Obukhov Similarity Theory and for the interpretation of eddy covariance measurements of Fs when using them to represent emissions or uptake from the surface. It is demonstrated here that the constant flux assumption offers intrinsic constraints on the third‐order turbulent transport of Fs in the unstable atmospheric surface layer. When enforcing z independence of Fs on multilevel Fs measurements collected above different surface cover types, it is shown that increasing instability leads to a novel and universal description of (i) the imbalance between ejecting and sweeping eddy contributions to Fs and (ii) the ratio formed by a dimensionless turbulent transport of Fs and a dimensionless turbulent transport of scalar variance. When combined with structural models for the turbulent transport of Fs, these two findings offer a new perspective on “closing” triple moments beyond conventional gradient diffusion schemes. A practical outcome is a diagnostic of the constant flux assumption from single‐level Fs measurements.

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Low‐frequency processes and turbulence structure in a perturbed boundary layer

Mortarini

Ferrero

Falabino

et al. 2012

Quart J Royal Meteoro Soc

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An analysis of the turbulence structure in a perturbed boundary layer and in low-wind regimes is presented. The study is based on 15 months of continuous wind and turbulence measurements gathered, within the framework of the Urban Turbulence Project, at three levels (5, 9 and 25 m) on a mast located in the outskirts of the city of Turin (Italy). The aim of the work is to investigate low-frequency processes in a perturbed boundary-layer. In fact, the urban canopy and the heat island, together with frequent low-wind conditions, interact with and modify the turbulence structure. In order to investigate this modification, the velocity Eulerian autocorrelation functions together with both the Eulerian and Lagrangian timescales are shown and compared with the classical theory. The comparisons show that in low-wind cases the velocity autocorrelation functions are not simply exponential but present an oscillating behaviour. A method of normalization is proposed together with an analysis on the applicability of this function. The estimated Lagrangian timescales are compared with two widely used parametrizations. It is found that the presence of the urban fabric influences the turbulence time-scales and suggests the development of new parametrizations. Finally, higher-order statistics are evaluated and the relationship between higher-order and lower-order moments are analysed, pointing out the effects due to the urban environment.

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Second-Order Closure PBL Model with New Third-Order Moments: Comparison with LES Data

Cited by 86 publications

References 0 publications

Assessment of heat flux turbulence models for flows dominated by buoyancy effects

Assessment of heat flux turbulence models for flows dominated by buoyancy effects

Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere

Low‐frequency processes and turbulence structure in a perturbed boundary layer

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