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Numerical investigation of the spatial resolution requirements for turbulent Rayleigh-Benard convection

Wagner, Sebastian and Shishkina, Olga and Wagner, Claus (2014) Numerical investigation of the spatial resolution requirements for turbulent Rayleigh-Benard convection. In: Turbulence and Interactions Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 125. Springer Verlag, Berlin Heidelberg. pp. 181-187. ISBN 978-3-662-43488-8. ISSN 1612-2909.

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Official URL: http://link.springer.com/chapter/10.1007/978-3-662-43489-5_22


The key requirement for setting up a direct numerical simulation (DNS) is a sufficiently fine grid allowing to resolve locally all relevant micro-scales. In case of turbulent Rayleigh-Bénard convection (RBC) this is usually done by fulfilling different analytically derived criteria for the boundary layers and the bulk flow. In order to analyse if these requirements are sufficient, DNS of turbulent RBC in a cylindrical container with aspect ratio unity and Prandtl number Pr = 0.786 have been performed for Rayleigh numbers Ra up to 109. The micro-scales obtained in the DNS as well astheir scaling with Ra are compared with the corresponding theoretical predictions. The analysis reveals that the smallest scales, occurring close to the wall, are about half of the estimated ones. Furthermore, their scaling differs slightly from the estimations while the criterion for the bulk flow fits quite well.

Item URL in elib:https://elib.dlr.de/89950/
Document Type:Contribution to a Collection
Additional Information:DOI: 10.1007/978-3-662-43489-5_19, Online ISBN: 978-3-662-43489-5, Proceedings of the TI 2012 Conference ABC
Title:Numerical investigation of the spatial resolution requirements for turbulent Rayleigh-Benard convection
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Wagner, ClausUNSPECIFIEDhttps://orcid.org/0000-0003-2273-0568
Journal or Publication Title:Turbulence and Interactions
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 181-187
EditorsEmailEditor's ORCID iD
Deville, Michel O.Ecole Polytechnique Fédérale de Lausanne, SwitzerlandUNSPECIFIED
Lê, Thien-HiepONERA Chatillon, FranceUNSPECIFIED
Estivalezes, Jean-LucONERA Toulouse, FranceUNSPECIFIED
Terracol, MarcONERA Chatillon, FranceUNSPECIFIED
Gleize, VincentONERA Chatillon, FranceUNSPECIFIED
Vincent, StéphaneENSCBP Pessac, FranceUNSPECIFIED
Publisher:Springer Verlag, Berlin Heidelberg
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Keywords:Direct Numerical Simulation, Thermal Convection
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles (old)
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Next Generation Train III (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Micknaus, Ilka
Deposited On:18 Sep 2014 15:59
Last Modified:28 Mar 2023 23:42

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