Singularity formation and nonlinear evolution of a viscous vortex sheet model

DOI10.1063/1.4789460zbMath1310.76048OpenAlexW2070791750MaRDI QIDQ5249338

Sung-Ik Sohn

Publication date: 4 May 2015

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

Full work available at URL: https://doi.org/10.1063/1.4789460

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items

Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets ⋮ Vortex simulations of the Kelvin-Helmholtz instability with surface tension in density-stratified flows ⋮ Two vortex-blob regularization models for vortex sheet motion ⋮ Up-wind difference approximation and singularity formation for a slow erosion model ⋮ Numerical study of the primitive equations in the small viscosity regime ⋮ On the generation and evolution of heated vortex rings in viscous fluids ⋮ Complex singularity analysis for vortex layer flows

Cites Work

• Unnamed Item
• Desingularization of periodic vortex sheet roll-up
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• Application of adaptive quadrature to axisymmetric vortex sheet motion
• An Eulerian approach for vortex motion using a level set regularization procedure
• Diffuse interface model for incompressible two-phase flows with large density ratios
• Singularity formation during Rayleigh–Taylor instability
• On the connection between thin vortex layers and vortex sheets
• On singularity formation in three-dimensional vortex sheet evolution
• Formation of curvature singularity along vortex line in an axisymmetric, swirling vortex sheet
• 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 Equation of Motion of a Vortex Layer of Small Thickness
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Equation of motion of a diffusing vortex sheet
• Long Time Computation of Two-Dimensional Vortex Sheet by Point Vortex Method
• Singularity formation in three-dimensional motion of a vortex sheet
• Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion
• The long-time motion of vortex sheets with surface tension
• Singularity formation in a cylindrical and a spherical vortex sheet