Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations

The instability of surface lenticular vortices is investigated using a comprehensive suite of laboratory experiments combined with numerical linear stability analysis as well as nonlinear numerical simulations in a two-layer Rotating Shallow Water model. The development of instabilities is discussed...

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Autores principales: Noé Lahaye, Alexandre Paci, Stefan G. Llewellyn Smith
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/44b2f870fbe54577aaa0a10f4438ce80
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spelling oai:doaj.org-article:44b2f870fbe54577aaa0a10f4438ce802021-11-25T17:31:26ZInstability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations10.3390/fluids61103802311-5521https://doaj.org/article/44b2f870fbe54577aaa0a10f4438ce802021-10-01T00:00:00Zhttps://www.mdpi.com/2311-5521/6/11/380https://doaj.org/toc/2311-5521The instability of surface lenticular vortices is investigated using a comprehensive suite of laboratory experiments combined with numerical linear stability analysis as well as nonlinear numerical simulations in a two-layer Rotating Shallow Water model. The development of instabilities is discussed and compared between the different methods. The linear stability analysis allows for a clear description of the origin of the instability observed in both the laboratory experiments and numerical simulations. While global qualitative agreement is found, some discrepancies are observed and discussed. Our study highlights that the sensitivity of the instability outcome is related to the initial condition and the lower-layer flow. The inhibition or even suppression of some unstable modes may be explained in terms of the lower-layer potential vorticity profile.Noé LahayeAlexandre PaciStefan G. Llewellyn SmithMDPI AGarticlevortexinstabilityocean eddiesnumerical simulationslaboratory experimentsThermodynamicsQC310.15-319Descriptive and experimental mechanicsQC120-168.85ENFluids, Vol 6, Iss 380, p 380 (2021)
institution DOAJ
collection DOAJ
language EN
topic vortex
instability
ocean eddies
numerical simulations
laboratory experiments
Thermodynamics
QC310.15-319
Descriptive and experimental mechanics
QC120-168.85
spellingShingle vortex
instability
ocean eddies
numerical simulations
laboratory experiments
Thermodynamics
QC310.15-319
Descriptive and experimental mechanics
QC120-168.85
Noé Lahaye
Alexandre Paci
Stefan G. Llewellyn Smith
Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations
description The instability of surface lenticular vortices is investigated using a comprehensive suite of laboratory experiments combined with numerical linear stability analysis as well as nonlinear numerical simulations in a two-layer Rotating Shallow Water model. The development of instabilities is discussed and compared between the different methods. The linear stability analysis allows for a clear description of the origin of the instability observed in both the laboratory experiments and numerical simulations. While global qualitative agreement is found, some discrepancies are observed and discussed. Our study highlights that the sensitivity of the instability outcome is related to the initial condition and the lower-layer flow. The inhibition or even suppression of some unstable modes may be explained in terms of the lower-layer potential vorticity profile.
format article
author Noé Lahaye
Alexandre Paci
Stefan G. Llewellyn Smith
author_facet Noé Lahaye
Alexandre Paci
Stefan G. Llewellyn Smith
author_sort Noé Lahaye
title Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations
title_short Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations
title_full Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations
title_fullStr Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations
title_full_unstemmed Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations
title_sort instability of lenticular vortices: results from laboratory experiments, linear stability analysis and numerical simulations
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/44b2f870fbe54577aaa0a10f4438ce80
work_keys_str_mv AT noelahaye instabilityoflenticularvorticesresultsfromlaboratoryexperimentslinearstabilityanalysisandnumericalsimulations
AT alexandrepaci instabilityoflenticularvorticesresultsfromlaboratoryexperimentslinearstabilityanalysisandnumericalsimulations
AT stefangllewellynsmith instabilityoflenticularvorticesresultsfromlaboratoryexperimentslinearstabilityanalysisandnumericalsimulations
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