Second-Order Model for Atmospheric Turbulence without Critical Richardson Number

Caggio, Matteo; Schiavon, Mario; Tampieri, F.; Bodnár, Tomáš

doi:10.14311/tpfm.2021.002

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2022

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“…The results are put into context and direct comparison with some previous relevant works in this area. The present analysis extends the previous work by Caggio et al [4] (see also Caggio and Bodnár [3]) mainly in terms of the investigation of second-order quantitites.…”

Section: Introductionsupporting

confidence: 89%

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Closure scheme for stably stratified turbulence without critical Richardson number

Caggio

Schiavon²,

Tampieri

et al. 2022

SN Appl. Sci.

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This paper presents a new modification of the second order turbulence closure that removes the critical gradient Richardson number limitation typically found in Mellor-Yamada style models. The mean wind speed and potential temperature profiles are derived for the newly modified model in terms of similarity and structure functions depending on the gradient Richardson number. The derivation is based on a second order boundary layer approximation in neutral to very stable stratification conditions. Some recent closure assumptions for pressure-temperature and heat flux are considered. Variances and covariances of the turbulent fluctuations are also investigated with respect to the gradient Richardson number. The new model predictions are confronted with some well known models.

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Section: Introductionsupporting

confidence: 89%

“…However, as we will discuss below, a revision of the MY82 model allows also to avoid the threshold value for the gradient Richardson number. 4 The empirical curve suggested by Mauritsen and Svensson [23] is also presented in Fig. 6 and 7.…”

Section: Resultsmentioning

confidence: 90%