Vortex and the Balance between Vorticity and Strain Rate

Vortex and the Balance between Vorticity and Strain Rate

A new analysis of the vortex-identification Q-criterion and its recent modifications is presented. In this unified framework based on different approaches to averaging of the cross-sectional balance between vorticity and strain rate in 3D, new relations among the existing modifications are derived....

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Main Authors: Václav Kolář, Jakub Šístek
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2019/1321480
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spelling doaj-201941b3443e49798060d718748a21082020-11-24T22:16:01ZengHindawi LimitedInternational Journal of Aerospace Engineering1687-59661687-59742019-01-01201910.1155/2019/13214801321480Vortex and the Balance between Vorticity and Strain RateVáclav Kolář0Jakub Šístek1Institute of Hydrodynamics of the Czech Academy of Sciences, CZ-16612 Prague 6, Czech RepublicInstitute of Mathematics of the Czech Academy of Sciences, CZ-11567 Prague 1, Czech RepublicA new analysis of the vortex-identification Q-criterion and its recent modifications is presented. In this unified framework based on different approaches to averaging of the cross-sectional balance between vorticity and strain rate in 3D, new relations among the existing modifications are derived. In addition, a new method based on spherical averaging is proposed. It is applicable to compressible flows, and it inherits a duality property which allows its use for identifying high strain-rate zones together with vortices. The new quantity is applied to identification of vortices and high strain-rate zones in the flow around an inclined flat plate, in the flow past a sphere, and for the reconnection process of two Burgers vortices.http://dx.doi.org/10.1155/2019/1321480
collection DOAJ
language English
format Article
sources DOAJ
author Václav Kolář
Jakub Šístek
spellingShingle Václav Kolář
Jakub Šístek
Vortex and the Balance between Vorticity and Strain Rate
International Journal of Aerospace Engineering
author_facet Václav Kolář
Jakub Šístek
author_sort Václav Kolář
title Vortex and the Balance between Vorticity and Strain Rate
title_short Vortex and the Balance between Vorticity and Strain Rate
title_full Vortex and the Balance between Vorticity and Strain Rate
title_fullStr Vortex and the Balance between Vorticity and Strain Rate
title_full_unstemmed Vortex and the Balance between Vorticity and Strain Rate
title_sort vortex and the balance between vorticity and strain rate
publisher Hindawi Limited
series International Journal of Aerospace Engineering
issn 1687-5966
1687-5974
publishDate 2019-01-01
description A new analysis of the vortex-identification Q-criterion and its recent modifications is presented. In this unified framework based on different approaches to averaging of the cross-sectional balance between vorticity and strain rate in 3D, new relations among the existing modifications are derived. In addition, a new method based on spherical averaging is proposed. It is applicable to compressible flows, and it inherits a duality property which allows its use for identifying high strain-rate zones together with vortices. The new quantity is applied to identification of vortices and high strain-rate zones in the flow around an inclined flat plate, in the flow past a sphere, and for the reconnection process of two Burgers vortices.
url http://dx.doi.org/10.1155/2019/1321480
work_keys_str_mv AT vaclavkolar vortexandthebalancebetweenvorticityandstrainrate
AT jakubsistek vortexandthebalancebetweenvorticityandstrainrate
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