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Closure scheme for stably stratified turbulence without critical Richardson number
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SYSNO ASEP 0559508 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Closure scheme for stably stratified turbulence without critical Richardson number Author(s) Caggio, Matteo (MU-W) SAI, RID
Schiavon, M. (IT)
Tampieri, F. (IT)
Bodnár, Tomáš (MU-W) RID, SAI, ORCIDArticle number 214 Source Title SN Applied Sciences. - : Springer - ISSN 2523-3963
Roč. 4, č. 8 (2022)Number of pages 14 s. Language eng - English Country DE - Germany Keywords atmospheric boundary layer ; critical Richardson number ; second-order closure model ; strong stratification ; turbulence parameterizations Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000822371800013 EID SCOPUS 85133699889 DOI 10.1007/s42452-022-05088-8 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1007/s42452-022-05088-8
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