Coaxial scattering of Euler-equation translating V -states via contour dynamics

DOI10.1017/S0022112082003309zbMath0581.76025MaRDI QIDQ3703456

Edward A. II Overman, Norman J. Zabusky

Publication date: 1982

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

zbMATH Keywords

recurrencephase shiftsfilament formationcoaxial scatteringcontour-dynamical algorithmcurvature-controlled node insertiondipolar vorticity regionEuler equation in two space dimensionsevolution of one V-staterobustness of localized statesscattering interactionssteady translating solutionssymmetric-plus-asymmetric perturbation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

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Visualizing mathematics: Evolution of vortical flows ⋮ Computational vortex dynamics in two and three dimensions ⋮ Interactions of two vortices near step topography ⋮ Computational synergetics: Visualization and vortex dynamics ⋮ Contour dynamics for the Euler equations: Curvature controlled initial node placement and accuracy ⋮ Nonlinear stability for steady vortex pairs ⋮ Geometric phases for corotating elliptical vortex patches ⋮ Two-layer geostrophic vortex dynamics. Part 1. Upper-layer V-states and merger ⋮ The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane ⋮ Computational synergetics and the exploration of nonlinear science

Cites Work

• Computational synergetics and mathematical innovation
• Evolution and merger of isolated vortex structures
• Contour dynamics for the Euler equations in two dimensions