The elliptical model of two-dimensional vortex dynamics. II: Disturbance equations

DOI10.1063/1.858016zbMath0733.76014OpenAlexW2040683742MaRDI QIDQ3359866

Bernard Legras, David Gerard Dritschel

Publication date: 1991

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858016

zbMATH Keywords

linear stabilitydisturbanceselliptical shapeevolution of vorticesdisturbance evolutiongeneral strain field

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (15)

Coherent structure visiometrics: From the soliton to HEC ⋮ The response of a rotating ellipse of uniform potential vorticity to gravity wave radiation ⋮ A general theory for two-dimensional vortex interactions ⋮ Interaction between Kirchhoff vortices and point vortices in an ideal fluid ⋮ Equilibria of corotating nonuniform vortices ⋮ Emergence of nonuniform V-states by synchronization ⋮ Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability ⋮ A framework for linear stability analysis of finite-area vortices ⋮ Elliptical vortices in shear: Hamiltonian moment formulation and Melnikov analysis ⋮ The elliptical model of two-dimensional vortex dynamics. I: The basic state ⋮ Resonant instability in two-dimensional vortex arrays ⋮ Direct simulation of isolated elliptic vortices and of their radiated noise ⋮ The structure of the vortices in freely decaying two-dimensional turbulence ⋮ Linear stability of Hill’s vortex to axisymmetric perturbations ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations

Cites Work

• The elliptical model of two-dimensional vortex dynamics. I: The basic state
• The stability and energetics of corotating uniform vortices
• A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation
• Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation
• Symmetric vortex merger in two dimensions: causes and conditions
• The stability of elliptical vortices in an external straining flow
• Contour dynamics for the Euler equations in two dimensions

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