Contour dynamics in complex domains

DOI10.1017/S002211200700866XzbMath1128.76014MaRDI QIDQ5440051

Darren G. Crowdy, Amit Surana

Publication date: 31 January 2008

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

zbMATH Keywords

conformal mapuniform vortex patches

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (15)

The attraction between a flexible filament and a point vortex ⋮ Perturbation response and pinch-off of vortex rings and dipoles ⋮ The evolution of Kirchhoff elliptic vortices ⋮ Regimes of near-wall vortex dynamics in potential flow through gaps ⋮ Finite area vortex motion on a sphere with impenetrable boundaries ⋮ Vortices on Closed Surfaces ⋮ Shape calculus for vortex patch equilibria and its application to lattice configurations ⋮ Computation of Hele-Shaw free boundary problems near obstacles ⋮ The \(N\)-vortex problem in a doubly periodic rectangular domain with constant background vorticity ⋮ Conformal contour dynamics in bounded domains ⋮ Vortex dynamics in complex domains on a spherical surface ⋮ Generalized contour dynamics: a review ⋮ Vortex motion on a sphere: Barrier with two gaps ⋮ A new calculus for two-dimensional vortex dynamics ⋮ Deformation of vortex patches by boundaries

Cites Work

• The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions
• Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics
• Contour dynamics/surgery on the sphere
• Application of contour dynamics to systems with cylindrical boundaries
• The CASL algorithm for quasi-geostrophic flow in a cylinder.
• Image-charge method for contour dynamics in systems with cylindrical boundaries.
• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• The motion of a vortex near two circular cylinders
• Point vortex motion on a sphere with solid boundaries
• The motion of a vortex near a gap in a wall
• The motion of a point vortex around multiple circular islands
• The nonlinear behaviour of a constant vorticity layer at a wall
• The motion of a point vortex through gaps in walls
• Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
• Vortices near barriers with multiple gaps
• Point vortex motion on the surface of a sphere with impenetrable boundaries
• On the Motion of Vortices in Two Dimensions
• Contour dynamics for the Euler equations in two dimensions

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