Weakly nonlinear saturation of short-wave instabilities in a strained Lamb–Oseen vortex

DOI10.1063/1.870422zbMath1184.76510OpenAlexW2040495334WikidataQ59870785 ScholiaQ59870785MaRDI QIDQ3553323

Denis Sipp

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.870422

zbMATH Keywords

vorticesflow instabilityliquid waves

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (11)

Weakly nonlinear analysis of short-wave elliptical instability ⋮ A weakly nonlinear amplitude equation approach to the bypass transition in the two-dimensional Lamb–Oseen vortex ⋮ A rotating fluid cylinder subject to weak precession ⋮ Short-wave cooperative instabilities in representative aircraft vortices ⋮ Widnall instabilities in vortex pairs ⋮ Nonlinear dynamics of the elliptic instability ⋮ Zigzag instability of vortex pairs in stratified and rotating fluids. Part 1. General stability equations. ⋮ Elliptical instability in rotating cylinders: liquid metal experiments under imposed magnetic field ⋮ Numerical stability analysis of a vortex ring with swirl ⋮ Numerical Analysis of Wing Vortices ⋮ Mode coupling analysis and differential rotation in a flow driven by a precessing cylindrical container

Cites Work

• Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics
• On the three-dimensional instability of strained vortices
• On the weakly nonlinear development of the elliptic instability
• The stability of short waves on a straight vortex filament in a weak externally imposed strain field
• The instability of a straight vortex filament in a strain field
• Cooperative elliptic instability of a vortex pair
• Secondary instabilities in rapidly rotating fluids: inertial wave breakdown
• Instability induced by symmetry reduction
• An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments
• Simplified equations for the interaction of nearly parallel vortex filaments
• Nonlinear evolution of the elliptical instability: an example of inertial wave breakdown
• On the non-linear interaction of inertial modes
• Slender-body analysis of the motion and stability of a vortex filament containing an axial flow
• The motion of a vortex filament with axial flow
• Axial flow in laminar trailing vortices

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