Relationship between corotating vortex-pair equilibria and a single vortex in an external deformation field

DOI10.1063/1.1949192zbMath1187.76136OpenAlexW2018165071MaRDI QIDQ3555165

Stéphane Le Dizès, Uwe Ehrenstein

Publication date: 22 April 2010

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

Full work available at URL: https://doi.org/10.1063/1.1949192

zbMATH Keywords

critical phenomenadeformationvorticeselliptic equationsstagnation flowflow instability

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (2)

The merging of two co-rotating vortices: a numerical study ⋮ Determining the stability of steady two-dimensional flows through imperfect velocity-impulse diagrams

Cites Work

• Vortex stripping and the generation of high vorticity gradients in two-dimensional flows
• Equilibria of corotating nonuniform vortices
• Three-dimensional instability during vortex merging
• A merging criterion for two-dimensional co-rotating vortices
• The stability and energetics of corotating uniform vortices
• Symmetric vortex merger in two dimensions: causes and conditions
• Theoretical predictions for the elliptical instability in a two-vortex flow
• The physical mechanism for vortex merging
• A new family of uniform vortices related to vortex configurations before merging
• Non-axisymmetric vortices in two-dimensional flows
• Flow-induced patterns in directional solidification: localized morphologies in three-dimensional flows
• Viscous interactions of two co-rotating vortices before merging

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