Stability analysis of the generalized Rosenhead point vortex approximation

DOI10.1063/1.868891zbMath1025.76543OpenAlexW1995787503MaRDI QIDQ4425553

André Nachbin

Publication date: 3 December 2003

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

Full work available at URL: https://semanticscholar.org/paper/25494875d67873c63af79dc52daf642dcd0f5f55

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Vortex methods applied to problems in fluid mechanics (76M23)

Cites Work

• Desingularization of periodic vortex sheet roll-up
• Removing the stiffness from interfacial flows with surface tension
• A study of singularity formation in a vortex sheet by the point-vortex approximation
• Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
• A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Rosenhead’s point vortex approximation revisited
• Numerical studies of surface-tension effects in nonlinear Kelvin–Helmholtz and Rayleigh–Taylor instability
• A Study of Singularity Formation in the Kelvin–Helmholtz Instability with Surface Tension

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