Three-dimensional instabilities and transient growth of a counter-rotating vortex pair

DOI10.1063/1.3220173zbMath1183.76186OpenAlexW2059075432MaRDI QIDQ5304807

Claire Donnadieu, Paul Billant, Chomaz, Jean-Marc, Sabine Ortiz

Publication date: 18 March 2010

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

Full work available at URL: https://hal-polytechnique.archives-ouvertes.fr/hal-01025605/file/1.3220173.pdf

zbMATH Keywords

Navier-Stokes equationsperturbation theoryvorticesviscositystagnation flowflow simulationnumerical analysisflow instabilityliquid waves

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (8)

Non-normal dynamics of time-evolving co-rotating vortex pairs ⋮ Stability of two-dimensional Taylor–Green vortices in rotating stratified fluids ⋮ Optimal growth of counter-rotating vortex pairs interacting with walls ⋮ Transient growth in the near wake region of the flow past a finite span wing ⋮ Modal stability analysis of arrays of stably stratified vortices ⋮ Transient perturbation growth in time-dependent mixing layers ⋮ Optimal transient growth on a vortex ring and its transition via cascade of ringlets ⋮ Transient growth of secondary instabilities in parallel wakes: Anti lift-up mechanism and hyperbolic instability

Cites Work

• Unnamed Item
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• Secondary instability mechanisms in the wake of a flat plate
• Krylov methods for the incompressible Navier-Stokes equations
• Stability and transition in shear flows
• Elliptic instability in a strained Batchelor vortex
• On the three-dimensional instability of strained vortices
• Optimal disturbances and bypass transition in boundary layers
• Three-dimensional stability of a vortex pair
• Optimal perturbations for boundary layers subject to stream-wise pressure gradient
• Self-adaptation and viscous selection in concentrated two-dimensional vortex dipoles
• Direct numerical simulations of the elliptic instability of a vortex pair
• The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: A model of the braid region in mixing layers
• Transient energy growth for the Lamb–Oseen vortex
• Mixing induced by Rayleigh–Taylor instability in a vortex
• Stability of the Rankine vortex in a multipolar strain field
• Widnall instabilities in vortex pairs
• A sufficient condition for the instability of columnar vortices
• The continuous spectrum of the Orr-Sommerfeld equation. Part 2. Eigenfunction expansions
• Viscous and inviscid instabilities of a trailing vortex
• 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
• Absolute/convective instabilities in the Batchelor vortex: a numerical study of the linear impulse response
• Theoretical predictions for the elliptical instability in a two-vortex flow
• Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations
• Adjoint systems and their role in the receptivity problem for boundary layers
• Vortex Dynamics
• Kelvin waves and the singular modes of the Lamb–Oseen vortex
• Optimal amplification of the Crow instability
• Transient growth in vortices with axial flow
• Transient growth of perturbations in a vortex column
• On the three-dimensional instabilities of plane flows subjected to Coriolis force

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