Dynamics of vortex surfaces in three dimensions: Theory and simulations

DOI10.1016/0167-2789(89)90029-8zbMath0683.76023OpenAlexW2038475964MaRDI QIDQ1825075

Michael E. Agishtein, Alexander A. Migdal

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90029-8

zbMATH Keywords

ideal fluidtriangulated surfacetopological conservation lawsdynamics of vortex surfaces

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

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Cites Work

• Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems
• The cloud in cell technique applied to the roll up of vortex sheets
• Discretization of a vortex sheet with an example of roll-up
• Hamiltonian description of axisymmetric vortex flows and the system of vortex rings
• Collapse and amplification of a vortex filament
• Difficulties with three-dimensional weak solutions for inviscid incompressible flow
• Vortex dynamics and the existence of solutions to the Navier–Stokes equations
• The stability of an evolving two‐dimensional vortex sheet
• Generalized vortex methods for free-surface flow problems