Stability analysis of a class of two-dimensional multipolar vortex equilibria

DOI10.1063/1.1476302zbMath1185.76096OpenAlexW2032812879MaRDI QIDQ3555978

Darren G. Crowdy, Martin Cloke

Publication date: 22 April 2010

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

Full work available at URL: http://hdl.handle.net/10044/1/183

zbMATH Keywords

vorticesturbulenceviscosityflow instability

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (11)

Initial stages of the interaction between uniform and pointwise vortices in an inviscid fluid ⋮ Analytical solutions for annular multipolar vortex equilibria on a sphere ⋮ Steady-state flows of inviscid incompressible fluid and related particle dynamics in rectangular channels ⋮ Exact solutions for submerged von Kármán point vortex streets cotravelling with a wave on a linear shear current ⋮ Free rings of bouncing droplets: stability and dynamics ⋮ Stability and transport properties of multiple-patch quasiequilibria ⋮ Analytical solutions for distributed multipolar vortex equilibria on a sphere ⋮ Velocity induced by a plane uniform vortex having the Schwarz function of its boundary with two simple poles ⋮ Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations ⋮ Inertial effects on viscous fingering in the complex plane ⋮ Vortex flows on closed surfaces

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• The linear two-dimensional stability of inviscid vortex streets of finite-cored vortices
• Steady-State Solutions of the Euler Equations in Two Dimensions II. Local Analysis of Limiting V-States
• On the instability of geostrophic vortices
• Multipolar vortices in two-dimensional incompressible flows
• Multipolar vortices and algebraic curves

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