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An optimal shape design formulation for inhomogeneous dam problems

✍ Scribed by Abdelkrim Chakib; Touria Ghemires; Abdeljalil Nachaoui

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
143 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, the flow problem of incompressible liquid through an inhomogeneous porous medium (say dam), with permeability allowing parametrization of the free boundary by a graph of continuous unidimensional function, is considered. We propose a new formulation on an optimal shape design problem. We show the existence of a solution of the optimal shape design problem. The finite element method is used to obtain numerical results which show the efficiency of the proposed approach. Copyright Β© 2002 John Wiley & Sons, Ltd.

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