The initial value problem for Kelvin vortex waves

DOI10.1017/S0022112097005958zbMath0913.76013OpenAlexW1976942309MaRDI QIDQ4377305

David C. Fritts, Steve Arendt, Øyvind Andreassen

Publication date: 7 June 1999

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

Full work available at URL: https://doi.org/10.1017/s0022112097005958

zbMATH Keywords

wave packetssmall perturbationswave dispersionGaussian functionaxisymmetric pinchflattening of tube's cross-sectionstraight vortex tube

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (12)

Experiments on the elliptic instability in vortex pairs with axial core flow ⋮ Inertial oscillations in a confined monopolar vortex subjected to background rotation ⋮ Multi-scale dynamics of Kelvin–Helmholtz instabilities. Part 1. Secondary instabilities and the dynamics of tubes and knots ⋮ Multi-scale dynamics of Kelvin–Helmholtz instabilities. Part 2. Energy dissipation rates, evolutions and statistics ⋮ Role of internal structures within a vortex in helicity dynamics ⋮ Criticality of compressible rotating flows ⋮ Stability of the Rankine vortex in a multipolar strain field ⋮ Axial core-variations of axisymmetric shape on a curved slender vortex filament with a similar, Rankine, or bubble core ⋮ Propagation speed of inertial waves in cylindrical swirling flows ⋮ A finite-length instability of vortex tubes ⋮ Kelvin twist waves in the transition to turbulence ⋮ Linearized oscillations of a vortex column: the singular eigenfunctions

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