A computational theory for spiral point vortices in multiply connected domains with slit boundaries

DOI10.1007/s13160-013-0113-5zbMath1469.76025OpenAlexW2076666713MaRDI QIDQ2452272

Hidehiro Tanaka, Takashi Sakajo, Naoki Aoyama

Publication date: 2 June 2014

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-013-0113-5

zbMATH Keywords

evolution equationconformal mappingSchottky-Klein prime functionsource-sink structure

Mathematics Subject Classification ID

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

Related Items (4)

Fast and accurate computation of the logarithmic capacity of compact sets ⋮ Numerical computation of a preimage domain for an infinite strip with rectilinear slits ⋮ A fast numerical method for ideal fluid flow in domains with multiple stirrers ⋮ Numerical computing of preimage domains for bounded multiply connected slit domains

Uses Software

• SKPrime

Cites Work

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• Numerical conformal mappings onto the linear slit domain
• The collocation points of the fundamental solution method for the potential problem
• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• Conformal mappings between canonical multiply connected domains
• On the Riemann-Roch theorem on open Riemann surfaces
• Stationary equilibrium singularity distributions in the plane
• Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions
• Calculating the lift on a finite stack of cylindrical aerofoils
• Vortex Methods
• Equation of motion for point vortices in multiply connected circular domains
• Flow over a Wing with an Attached Free Vortex
• Flow Past a Flat Plate With a Vortex/Sink Combination
• Vortex Dynamics
• Force-enhancing vortex equilibria for two parallel plates in uniform flow
• Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
• Construction of point vortex equilibria via Brownian ratchets
• The \(N\)-vortex problem. Analytical techniques

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