The nonlinear instability of Hill's vortex
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Publication:3735304
DOI10.1017/S002211208600040XzbMath0599.76063OpenAlexW2066694117MaRDI QIDQ3735304
Publication date: 1986
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s002211208600040x
numerical procedureprolate spheroidnonlinear integrodifferential equationnonlinear instabilityHill's spherical vortexaxisymmetric geometryaxisymmetric perturbationsvortex boundarydiscrete elementspiecewise representation of the vortex contour
Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Basic methods in fluid mechanics (76M99)
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Cites Work
- Computations of steady, ellipsoidal vortex rings with finite cores
- The boundary layer on a spherical gas bubble
- Evolution and merger of isolated vortex structures
- Structure of a Linear Array of Uniform Vortices
- The response of Hill's spherical vortex to a small axisymmetric disturbance
- Turbulent vortex rings
- The motion of a spherical liquid drop at high Reynolds number
- A family of steady vortex rings
- The flow into an expanding spherical vortex
