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Conformal mapping, Padé approximants, and an example of flow with a significant deformation of the free boundary

Published online by Cambridge University Press:  07 August 2014

E. A. KARABUT
Affiliation:
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk State University630090 Novosibirsk, Russia email: eakarabut@gmail.com
A. A. KUZHUGET
Affiliation:
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk State University630090 Novosibirsk, Russia email: eakarabut@gmail.com

Abstract

A problem of plane inertial motion of an ideal incompressible fluid with a free boundary, which initially has a quadratic velocity field, is studied by semi-analytical methods. A conformal mapping of the domain occupied by the fluid onto a unit circle is sought in the form of a power series with respect to time. Summation of series is performed by using Padé approximants.

Type
Papers
Copyright
Copyright © Cambridge University Press 2014 

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