Statistical equilibrium theory for axisymmetric flows: Kelvin’s variational principle and an explanation for the vortex ring pinch-off process

DOI10.1063/1.1368850zbMath1184.76372OpenAlexW2070670861MaRDI QIDQ3555541

Kamran Mohseni

Publication date: 22 April 2010

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

Full work available at URL: https://semanticscholar.org/paper/ba54ef3b529e11bafcccd0133f7f8f087cfd9176

zbMATH Keywords

vorticesstatistical analysismaximum entropy methods

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (12)

Global time evolution of an axisymmetric vortex ring at low Reynolds numbers ⋮ Numerical simulation of the postformation evolution of a laminar vortex ring ⋮ Buoyant formation number of a starting buoyant jet ⋮ Statistical mechanics of the 3D axisymmetric Euler equations in a Taylor–Couette geometry ⋮ Delay of vortex ring pinchoff by an imposed bulk counterflow ⋮ A dynamic model for the Lagrangian-averaged Navier-Stokes-α equations ⋮ Coherent structures in an energy-enstrophy theory for axisymmetric flows ⋮ Statistical mechanics of the Euler equations without vortex stretching ⋮ A generalized vortex ring model ⋮ Linear stability of Hill’s vortex to axisymmetric perturbations ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations ⋮ An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa Aequorea Victoria

Cites Work

• Derivation of maximum entropy principles in two-dimensional turbulence via large deviations
• Numerical experiments on vortex ring formation
• Maximum entropy versus minimum enstrophy vortices
• Nonlinear stability of axisymmetric swirling flows
• Statistical equilibrium states for two-dimensional flows
• A universal time scale for vortex ring formation
• Statistical equilibrium measures and coherent states in two-dimensional turbulence
• Classification of robust isolated vortices in two-dimensional hydrodynamics
• Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence
• Statistical mechanics of Euler equations in two dimensions
• Classification of self-organized vortices in two-dimensional turbulence: the case of a bounded domain
• The emergence of isolated coherent vortices in turbulent flow
• A family of steady vortex rings

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