Stability of a vortex street of finite vortices

DOI10.1017/S0022112082001578zbMath0514.76017OpenAlexW2113482984MaRDI QIDQ3661120

Philip G. Saffman, James C. Schatzman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082001578

zbMATH Keywords

steady solutionstwo-dimensional disturbancesfinite range of spacing ratiofinite-area Kármán vortex streetstandard normal-mode analysisvortex size approaches zero

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99)

Related Items (16)

Visualizing mathematics: Evolution of vortical flows ⋮ Computational vortex dynamics in two and three dimensions ⋮ Computational synergetics: Visualization and vortex dynamics ⋮ Kármán vortex street for the generalized surface quasi-geostrophic equation ⋮ On the linear stability of the inviscid Kármán vortex street ⋮ Bénard-von Kármán instability: transient and forced regimes ⋮ Linear stability of a non-symmetric, inviscid, Kármán street of small uniform vortices ⋮ Spatio-temporal stability of the Kármán vortex street and the effect of confinement ⋮ An efficient and general numerical method to compute steady uniform vortices ⋮ Two-layer geostrophic vortex dynamics. Part 1. Upper-layer V-states and merger ⋮ Vorticity transport in modeling three-dimensional unsteady shear flows ⋮ Kármán vortex street in incompressible fluid models ⋮ The effect of core size on the speed of compressible hollow vortex streets ⋮ The nonlinear evolution of rotating configurations of uniform vorticity ⋮ Analytical solutions for von Kármán streets of hollow vortices ⋮ Determining the stability of steady two-dimensional flows through imperfect velocity-impulse diagrams

Cites Work

• Behavior of Hamiltonian systems close to integrable
• Instability, coalescence and fission of finite-area vortex structures

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