On stagnation points and streamline topology in vortex flows

DOI10.1017/S0022112098001761zbMath0921.76028OpenAlexW2066059561WikidataQ61634769 ScholiaQ61634769MaRDI QIDQ4236627

Hassan Aref, Morten Brøns

Publication date: 29 September 1999

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112098001761

zbMATH Keywords

conictriangular coordinatesSiebeck theorem on vorticesSiebeck's curvethree vortices

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (12)

A Geometric Proof of the Siebeck–Marden Theorem ⋮ Topological Identification of Vortical Flow Structures in the Left Ventricle of the Heart ⋮ Discrete representations of orbit structures of flows for topological data analysis ⋮ Point vortex dynamics: A classical mathematics playground ⋮ Stationary configurations of point vortices on a cylinder ⋮ On the location of critical point for the Poisson equation in plane ⋮ Accumulation of heavy particles in N-vortex flow on a disk ⋮ Relative equilibria of point vortices and the fundamental theorem of algebra ⋮ Streamline topologies for integrable vortex motion on a sphere ⋮ Streamline topologies near a fixed wall using normal forms ⋮ Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits ⋮ Transitions between streamline topologies of structurally stable Hamiltonian flows in multiply connected domains

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