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Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique

Ryskin, G. and Leal, L. G. (1984) Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique. Journal of Fluid Mechanics, 148 . pp. 1-17. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:RYSjfm84a

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Abstract

We present here a brief description of a numerical technique suitable for solving axisymmetric (or two-dimensional) free-boundary problems of fluid mechanics. The technique is based on a finite-difference solution of the equations of motion on an orthogonal curvilinear coordinate system, which is also constructed numerically and always adjusted so as to fit the current boundary shape. The overall solution is achieved via a global iterative process, with the condition of balance between total normal stress and the capillary pressure at the free boundary being used to drive the boundary shape to its ultimate equilibrium position.


Item Type:Article
Additional Information:Copyright © 1984 Cambridge University Press. Reprinted with permission. (Received 11 April 1983 and in revised form 27 April 1984) This work was supported by a grant from the Fluid Mechanics Program of the National Science Foundation.
Record Number:CaltechAUTHORS:RYSjfm84a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:RYSjfm84a
Alternative URL:http://dx.doi.org/10.1017/S0022112084002214
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10116
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Apr 2008
Last Modified:26 Dec 2012 09:57

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