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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  and
A. A. KUZHUGET
E. A. KARABUT
Affiliation:
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk State University630090 Novosibirsk, Russia email: [email protected]
A. A. KUZHUGET
Affiliation:
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk State University630090 Novosibirsk, Russia email: [email protected]
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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.

Keywords

Conformal mappingPadé approximantFree boundary flowIdeal incompressible fluid
Type
Papers
Information
European Journal of Applied Mathematics , Volume 25 , Issue 6 , December 2014 , pp. 729 - 747
Copyright
Copyright © Cambridge University Press 2014 

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