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A two Turbulence Kinetic Energy model as a scale-adaptive approach to modeling the planetary boundary layer

Bhattacharya, Ritthik and Stevens, Bjorn (2016) A two Turbulence Kinetic Energy model as a scale-adaptive approach to modeling the planetary boundary layer. Journal of Advances in Modeling Earth Systems, 8 (1). pp. 224-243. ISSN 1942-2466. https://resolver.caltech.edu/CaltechAUTHORS:20160531-103445007

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Abstract

A two Turbulence Kinetic Energy (2TKE) model is developed to address the boundary layer “grey zone” problem. The model combines ideas from local and nonlocal models into a single energetically consistent framework. By applying the Reynolds averaging to the large eddy simulation (LES) equations that employ Deardorff's subgrid TKE, we arrive at a system of equations for the boundary layer quantities and two turbulence kinetic energies: one which encapsulates the TKE of large boundary-layer-scale eddies and another which represents the energy of eddies subgrid to the vertical grid size of a typical large-scale model. These two energies are linked via the turbulent cascade of energy from larger to smaller scales and are used to model the mixing in the boundary layer. The model is evaluated for three dry test cases and found to compare favorably to large eddy simulations. The usage of two TKEs for mixing helps reduce the dependency of the model on the vertical grid scale as well as on the free tropospheric stability and facilitates a smoother transition from convective to stable regimes. The usage of two TKEs representing two ranges of scales satisfies the prerequisite for modeling the boundary layer in the “grey zone”: an idea that is explored further in a companion paper.


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Related URLs:
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http://dx.doi.org/10.1002/2015MS000548DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/2015MS000548/abstractPublisherArticle
Additional Information:© 2016 The Authors. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. Received 15 SEP 2015; Accepted 18 JAN 2016; Accepted article online 21 JAN 2016; Published online 20 FEB 2016. We would like to thank the Deutscher Wetterdienst (DWD) for providing support for the project. The authors would also like to thank C. Hohenegger and A. Siefert for valuable suggestions. Thanks are in order to A. Dipankar and Chiel Van Heerwaarden for some thought provoking discussions on the topic.
Issue or Number:1
Record Number:CaltechAUTHORS:20160531-103445007
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160531-103445007
Official Citation:Bhattacharya, R., and B. Stevens (2016), A two Turbulence Kinetic Energy model as a scale-adaptive approach to modeling the planetary boundary layer, J. Adv. Model. Earth Syst., 8, 224–243, doi:10.1002/2015MS000548
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67493
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 May 2016 23:00
Last Modified:03 Oct 2019 10:06

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