Closure scheme for stably stratified turbulence without critical Richardson number

0559508 - MÚ 2023 RIV DE eng J - Journal Article
Caggio, Matteo - Schiavon, M. - Tampieri, F. - Bodnár, Tomáš
Closure scheme for stably stratified turbulence without critical Richardson number.
SN Applied Sciences. Roč. 4, č. 8 (2022), č. článku 214. ISSN 2523-3963
R&D Projects: GA ČR(CZ) GA19-04243S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : atmospheric boundary layer * critical Richardson number * second-order closure model * strong stratification * turbulence parameterizations
OECD category: Pure mathematics
Impact factor: 2.6, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s42452-022-05088-8

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.
Permanent Link: https://hdl.handle.net/11104/0332785