Stability analysis of turbulent heat exchange over the heterogeneous environmental interface in climate models(Article)
- aFaculty of Agriculture, University of Novi Sad, Trg D. Obradovića 8, Novi Sad, 21000, Serbia
- bDepartment of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, 21000, Serbia
- cDepartment of Physics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, 21000, Serbia
Abstract
Based on a short review of the different parameterization schemes for sub-grid scale surface fluxes in climate and other atmospheric models of different scales, the flux aggregation effect over a heterogeneous grid-box leading to the occurrence of Schmidt's paradox is considered. To investigate this effect in the sub-grid scale parameterization, we have introduced a dynamical system approach, where the horizontal energy exchange is taken into account and is represented by a matrix of coupling parameters. Since it is, in general, very difficult to specify the quantities in that matrix, a sufficient condition for the asymptotic stability that can be applied for any coupling matrix is derived. Two theorems that consider the flux aggregation effect over a heterogeneous grid-box are proved. Finally, we have showed how, by their application, Schmidt's paradox can be overcome. It is demonstrated through a numerical example of turbulent energy exchange over the grid-box including the part of the Prospect park, New York, USA. © 2015 Elsevier Inc. All rights reserved.
Indexed keywords
| Engineering controlled terms: | AgglomerationAsymptotic stabilityDynamical systems |
|---|---|
| Engineering uncontrolled terms | Coupling parametersDynamical system approachesEnvironmental interfacesGrid-boxParameterization schemesSchmidtStability analysisTurbulent heat exchange |
| Engineering main heading: | Climate models |
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| III43007 | ||
| 1136,114-451-2151/2011-01,174019 | ||
| Horizon 2020 Framework Programme See opportunities by H2020 | 691998 | H2020 |
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1
The authors would like to thank the anonymous referees for their comments which improved the overall presentation of this research. The work of D. Mihailović and G. Mimić is partially supported by the Ministry of Education and Science of Republic of Serbia, research project III43007 and Provincial Secretariat for Science of Vojvodina , research project 114-451-2151/2011-01 . The work of V. Kostić and Lj. Cvetković is partially supported by Ministry of Education and Science of Republic of Serbia, research project 174019, Provincial Secretariat for Science of Vojvodina , research projects 1850, 2010 and 1136 . Additionally, the work of V. Kostić is partially supported by the Einstein Fellowship Foundation of Berlin Mathematical School for 2013–2014.
- ISSN: 00963003
- CODEN: AMHCB
- Source Type: Journal
- Original language: English
- DOI: 10.1016/j.amc.2015.04.121
- Document Type: Article
- Publisher: Elsevier Inc.
Kostić, V.; Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, Serbia
© Copyright 2015 Elsevier B.V., All rights reserved.
Cited by 3 documents
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(2017) Developments in Environmental Modelling
(2017) Developments in Environmental Modelling