Global time evolution of viscous vortex rings

DOI10.1007/s00162-009-0155-0zbMath1191.76043OpenAlexW2091572787MaRDI QIDQ983604

J. Martínez

Publication date: 24 July 2010

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/13203

zbMATH Keywords

variational principlevortex ringHelmholtz-Lamb's methodviscous decay

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Viscous vortex flows (76D17)

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Cites Work

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• Kinematic variational principle for motion of vortex rings
• Structure and stability of solutions of the Euler equations: a lagrangian approach
• A model for the formation of “optimal” vortex rings taking into account viscosity
• The velocity field induced by a helical vortex tube
• A generalized vortex ring model
• The decay of a viscous vortex pair
• Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
• Vortex drift. I: Dynamic interpretation
• Vortex-rings of prescribed impulse
• Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity
• Fluid entrainment by isolated vortex rings
• Higher-order asymptotic theory for the velocity field induced by an inviscid vortex ring
• Vortex Dynamics
• Global time evolution of an axisymmetric vortex ring at low Reynolds numbers
• Numerical simulation of the postformation evolution of a laminar vortex ring
• On steady vortex rings of small cross-section in an ideal fluid
• The Velocity of Viscous Vortex Rings
• Examples of steady vortex rings of small cross-section in an ideal fluid
• A family of steady vortex rings
• A Hamiltonian theory for weakly interacting vortices