Shape calculus for vortex patch equilibria and its application to lattice configurations

DOI10.1016/j.cam.2017.10.023zbMath1374.76004OpenAlexW2766437879MaRDI QIDQ1677475

Tomoki Uda

Publication date: 21 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.10.023

zbMATH Keywords

latticefree-boundary problemshape derivativevortex patchvortex equilibria

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06) Free boundary problems for PDEs (35R35)

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Cites Work

• Planar vortex patch problem in incompressible steady flow
• The Schottky-Klein prime function on the Schottky double of planar domains
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• Shapes and Geometries
• Stability of vortices in equilibrium with a cylinder
• A family of steady, translating vortex pairs with distributed vorticity
• Some steady vortex flows past a circular cylinder
• Exact solutions for rotating vortex arrays with finite-area cores
• A framework for linear stability analysis of finite-area vortices
• Vortex Dynamics
• Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
• Contour dynamics in complex domains
• Contour dynamics for the Euler equations in two dimensions