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Inertial wave super-attractor in a truncated elliptic cone.

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Title: Inertial wave super-attractor in a truncated elliptic cone.
Authors: Favier, Benjamin1 benjamin.favier@univ-amu.fr, Le Dizès, Stéphane1
Source: Journal of Fluid Mechanics. 2/10/2024, Vol. 980, p1-23. 23p.
Subjects: Cones, Waves (Fluid mechanics), Limit cycles, Wave packets, Ray tracing
Abstract: We consider inertial waves propagating in a fluid contained in a non-axisymmetric three-dimensional rotating cavity. We focus on the particular case of a fluid enclosed inside a truncated cone or frustum, which is the volume that lies between two horizontal parallel planes cutting an upright cone. While this geometry has been studied in the past, we generalise it by breaking its axisymmetry and consider the case of a truncated elliptic cone for which the horizontal sections are elliptic instead of circular. The problem is first tackled using ray tracing, where local wave packets are geometrically propagated and reflected within the closed volume without attenuation. We complement these results with a local asymptotic analysis and numerical simulations of the original linear viscous problem. We show that the attractors, well known in two dimensional or axisymmetric domains, can be trapped in a particular plane in three dimensions provided that the axisymmetry of the domain is broken. Contrary to previous examples of attractors in three-dimensional domains, all rays converge towards the same limit cycle regardless of initial conditions, and it is localised in the bulk of the fluid. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 175661653
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PubTypeId: academicJournal
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  Data: Inertial wave super-attractor in a truncated elliptic cone.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 2/10/2024, Vol. 980, p1-23. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Cones%22">Cones</searchLink><br /><searchLink fieldCode="DE" term="%22Waves+%28Fluid+mechanics%29%22">Waves (Fluid mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Limit+cycles%22">Limit cycles</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+packets%22">Wave packets</searchLink><br /><searchLink fieldCode="DE" term="%22Ray+tracing%22">Ray tracing</searchLink>
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  Data: We consider inertial waves propagating in a fluid contained in a non-axisymmetric three-dimensional rotating cavity. We focus on the particular case of a fluid enclosed inside a truncated cone or frustum, which is the volume that lies between two horizontal parallel planes cutting an upright cone. While this geometry has been studied in the past, we generalise it by breaking its axisymmetry and consider the case of a truncated elliptic cone for which the horizontal sections are elliptic instead of circular. The problem is first tackled using ray tracing, where local wave packets are geometrically propagated and reflected within the closed volume without attenuation. We complement these results with a local asymptotic analysis and numerical simulations of the original linear viscous problem. We show that the attractors, well known in two dimensional or axisymmetric domains, can be trapped in a particular plane in three dimensions provided that the axisymmetry of the domain is broken. Contrary to previous examples of attractors in three-dimensional domains, all rays converge towards the same limit cycle regardless of initial conditions, and it is localised in the bulk of the fluid. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1017/jfm.2024.5
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      – Code: eng
        Text: English
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        PageCount: 23
        StartPage: 1
    Subjects:
      – SubjectFull: Cones
        Type: general
      – SubjectFull: Waves (Fluid mechanics)
        Type: general
      – SubjectFull: Limit cycles
        Type: general
      – SubjectFull: Wave packets
        Type: general
      – SubjectFull: Ray tracing
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      – TitleFull: Inertial wave super-attractor in a truncated elliptic cone.
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              Text: 2/10/2024
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              Y: 2024
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              Value: 980
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