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An approximate method for the solution of a three-dimensional free boundary problem arising in hydraulics

โœ Scribed by A. Kharab

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
618 KB
Volume
148
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

An approximate

method is described for the numerical treatment of a three-dimensional free boundary problem arising in hydraulics. In this method the solution of the free boundary problem is reduced to the numerical solution of a first-order system of ordinary differential equations by use of a two-dimensional quadratic piezometric head profile. The method is simple and requires very little computing time.

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A boundary collocation method for the solution of a flow problem in a complex three-dimensional porous medium
โœ D. Levin; A. Tal ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 579 KB

A flow problem in a complex three-dimensional domain with a free surface and mixed-type boundary conditions is solved by the boundary collocation method. The solution is expressed as a combination of source functions distributed all around the domain close to the boundary, plus a special basis funct