Nonlinear evolution of two vortex sheets moving separately in uniform shear flows with opposite direction

DOI10.3934/era.2022093OpenAlexW4226144633MaRDI QIDQ2696708

Chihiro Matsuoka

Publication date: 17 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022093

zbMATH Keywords

Kelvin-Helmholtz instabilityvortex methodmulti-layer flowdensity stratificationtwo vortex sheets

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vortex blob methods applied to interfacial motion
• Nonlinear dynamics of non-uniform current-vortex sheets in magnetohydrodynamic flows
• Simulation of Rayleigh-Taylor flows using vortex blobs
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• Removing the stiffness from interfacial flows with surface tension
• Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids
• Discretization of a vortex sheet with an example of roll-up
• Comparison of structured- and unstructured-grid, compressible and incompressible methods using the vortex pairing problem
• Internal Gravity Waves
• Diffraction of a weak shock with vortex generation
• A comparison of blob methods for vortex sheet roll-up
• Boundary Element Methods in Engineering and Sciences
• A study of singularity formation in a vortex sheet by the point-vortex approximation
• On the Numerical Solution of the Regularized Birkhoff Equations
• Convergence of the Vortex Method for Vortex Sheets
• Convergence of a Point Vortex Method for Vortex Sheets
• A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
• The stability of an evolving two‐dimensional vortex sheet
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Generalized vortex methods for free-surface flow problems
• Instability in Geophysical Flows
• Vortex Dynamics
• Vortex sheet motion in incompressible Richtmyer–Meshkov and Rayleigh–Taylor instabilities with surface tension
• A numerical study of vortex ring formation at the edge of a circular tube
• Contour dynamics for the Euler equations in two dimensions