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Journal of Applied Mechanics and Technical Physics

2025 year, number 1

Problem of Upfloating of a Two-Dimendsional Cavity under the Action of the Buoyancy Force

E. N. Zhuravleva, E. A. Karabut
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: ideal incompressible fluid, problem of motion of a cavity with a free boundary, semi-analytical methods, Pade approximants, virtual singular points

Abstract

A plane problem that describes the motion of a two-dimensional cavity located in a heavy ideal incompressible fluid is considered. Profiles of the free boundary are constructed by mean of semi-analytical methods, and the motion of virtual singular points of the solution is studied.