Výsledky vyhledávání - "Paul Billant"

Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability

Autor: Eunok Yim, Paul Billant, François Gallaire

Publikováno v: Journal of Fluid Mechanics. 957

We carry out a weakly nonlinear analysis of the centrifugal instability for a columnar vortex in a rotating fluid, and compare the results to those of the semi-linear model derived empirically by Yim et al. (J. Fluid Mech., vol. 897, 2020, A34). The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5705624cefa2098667ec91d220f39125
https://doi.org/10.1017/jfm.2023.60

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Dynamics of a stratified vortex under the complete Coriolis force: two-dimensional three-components evolution

Autor: Paul Billant, Iman Toghraei

Publikováno v: Journal of Fluid Mechanics. 950

We study the dynamics of an initially axisymmetric and vertical Lamb–Oseen vortex in a stratified-rotating fluid under the complete Coriolis force on the $f$ plane, i.e. in the presence of a background rotation both along the vertical and horizonta

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4f95c9b158568d156dadb71ac4be5f3e
https://doi.org/10.1017/jfm.2022.812

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Is the Taylor–Proudman theorem exact in unbounded domains? Case study of the three-dimensional stability of a vortex pair in a rapidly rotating fluid

Autor: Paul Billant

Publikováno v: Journal of Fluid Mechanics
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2021, 920, ⟨10.1017/jfm.2021.431⟩

International audience; Owing to the Taylor–Proudman theorem, it is generally believed that rotating flows should have two-dimensional dynamics for rapid background rotation. Yet, we show that two infinitely long counter-rotating vertical vortices

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10ccd18a79c0105159adf17c4d68f61d
https://hal-insu.archives-ouvertes.fr/insu-03329722/document

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Evolution of a vortex in a strongly stratified shear flow. Part 2. Numerical simulations

Autor: Paul Billant, Julien Bonnici

Publikováno v: Journal of Fluid Mechanics
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2020, 893, ⟨10.1017/jfm.2020.227⟩

International audience; We conduct direct numerical simulations of an initially vertical Lamb-Oseen vortex in an ambient shear flow varying sinusoidally along the vertical in a stratified fluid. The Froude number $F_h$ and the Reynolds number $\Rey$,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54a6414c1c781f75c799e30d6b91a039
https://hal-insu.archives-ouvertes.fr/insu-03025142/document

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Evolution of a vortex in a strongly stratified shear flow. Part 1. Asymptotic analysis

Autor: Julien Bonnici, Paul Billant

Publikováno v: Journal of Fluid Mechanics
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2020, 893, ⟨10.1017/jfm.2020.226⟩

International audience; In this paper, we investigate the dynamics of an initially vertical vortex embedded in a shear flow in a stratified fluid by means of a long-wavelength analysis. The main goal is to determine, whether or not, the Kelvin-Helmho

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9440843389f17468490a68686946ece7
https://doi.org/10.1017/jfm.2020.226

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Instabilities and transient growth of the stratified Taylor–Couette flow in a Rayleigh-unstable regime

Autor: Jong-Jin Baik, Junho Park, Paul Billant

Publikováno v: Journal of Fluid Mechanics. 822:80-108

The stability of the Taylor–Couette flow is analysed when there is a stable density stratification along the axial direction and when the flow is centrifugally unstable, i.e. in the Rayleigh-unstable regime. It is shown that not only the centrifuga

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::beabd8254d7c7f340c3242f08bebad59
https://doi.org/10.1017/jfm.2017.254

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Nonlinear evolution of the centrifugal instability using a semi-linear model

Autor: Eunok Yim, Paul Billant, François Gallaire

Publikováno v: Journal of Fluid Mechanics
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2020

We study the nonlinear evolution of the axisymmetric centrifugal instability developing on a columnar anticyclone with a Gaussian angular velocity using a semilinear approach. The model consists of two coupled equations: one for the linear evolution

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f878f579d59cd41a4143aca315bfd38
http://arxiv.org/abs/1912.09914

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Stability Criterion for the Centrifugal Instability of Surface Intensified Anticyclones

Autor: Paul Billant, Alexandre Stegner, Eunok Yim

Publikováno v: Journal of Physical Oceanography
Journal of Physical Oceanography, American Meteorological Society, 2019, ⟨10.1175/JPO-D-18-0088.1⟩

We investigate the linear stability of intense baroclinic anticyclones, with a particular focus on the centrifugal (inertial) instability. Various vertical and radial velocity profiles are studied. The vertical profiles are such that the velocity is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de91a17bdbcf4441a8400711d8baf1fb
https://hal.archives-ouvertes.fr/hal-02389930

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Analogies and differences between the stability of an isolated pancake vortex and a columnar vortex in stratified fluid

Autor: Paul Billant, Eunok Yim

Publikováno v: Journal of Fluid Mechanics. 796:732-766

In order to understand the dynamics of pancake shaped vortices in stably stratified fluids, we perform a linear stability analysis of an axisymmetric vortex with Gaussian angular velocity in both the radial and axial directions with an aspect ratio o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4015cb38dc7dee67a636b0ed8abd25c4
https://doi.org/10.1017/jfm.2016.248

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