Thin-tube vortex simulations for sinusoidal instability in a counter-rotating vortex pair

DOI10.1002/fld.327zbMath1101.76372OpenAlexW2171428440MaRDI QIDQ4793709

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Publication date: 13 February 2003

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.327

zbMATH Keywords

sinusoidal wavesvortex methodsvortex instability

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Rotation in hydrodynamic stability (76E07) Vortex methods applied to problems in fluid mechanics (76M23)

Cites Work

• Vortex methods for flow simulation
• LINEAR FINITE-ELEMENT EQUATIONS FOR NONLINEAR DEFORMATION OF SLIGHTLY COMPRESSIBLE ELASTIC MATERIAL
• The instability of short waves on a vortex ring
• Cooperative elliptic instability of a vortex pair
• Numerical Simulations of Three-Dimensional Trailing Vortex Evolution
• An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments
• A numerical study of three-dimensional vortex ring instabilities: viscous corrections and early nonlinear stage
• Asymptotic vorticity structure and numerical simulation of slender vortex filaments
• The Velocity of Viscous Vortex Rings
• The motion of a vortex filament with axial flow

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