Asymptotic vorticity structure and numerical simulation of slender vortex filaments

DOI10.1017/S002211209500036XzbMath0846.76014MaRDI QIDQ4860827

Omar M. Knio, Rupert Klein

Publication date: 23 September 1996

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

vortex methodssmoothing functionthin-tube vortex element numerical scheme

Mathematics Subject Classification ID

Related Items (9)

Experiments on the elliptic instability in vortex pairs with axial core flow ⋮ Thin-tube vortex simulations for sinusoidal instability in a counter-rotating vortex pair ⋮ Three-dimensional stability of a vortex pair ⋮ The stabilizing effects of axial stretching on turbulent vortex dynamics ⋮ Axial core-variations of axisymmetric shape on a curved slender vortex filament with a similar, Rankine, or bubble core ⋮ On the motion of slender vortex filaments ⋮ Representation of core dynamics in slender vortex filament simulations ⋮ Dynamics of nearly parallel interacting vortex filaments ⋮ Improved thin-tube models for slender vortex simulations

Cites Work

• High order accurate vortex methods with explicit velocity kernels
• Numerical simulation of a thermally stratified shear layer using the vortex element method
• The evolution of a turbulent vortex
• Three-dimensional vortex simulation of rollup and entrainment in a shear layer
• Vortex filament with axial core structure variation
• Numerical study of a three-dimensional vortex method
• Collapsing solutions to the 3-D Euler equations
• Vortex Models and Boundary Layer Instability
• Asymptotic equations for the stretching of vortex filaments in a background flow field
• Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
• An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments

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