Low complexity shape optimization & a posteriori high fidelity validation

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June 2010, 13(4): 759-772. doi: 10.3934/dcdsb.2010.13.759

Low complexity shape optimization & a posteriori high fidelity validation

Afaf Bouharguane ^1, , Pascal Azerad ^1, , Frédéric Bouchette ^1, , Fabien Marche ^1, and Bijan Mohammadi ^1,

1.	Institut de Mathématiques et de Modélisation de Monptellier, Université Montpellier II, 34 095 Montpellier, France, France, France, France, France

Received April 2009 Revised June 2009 Published March 2010

Abstract
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In this paper, shape optimization tools are applied to coastal engineering. A barred beach protection study is described, using a new type of water wave attenuator device, namely geotextile tube, to reduce the mobilization of sediments. A global optimization algorithm, able to pursue beyond local minima, is used to search for the optimum properties of the geotextile tube.The optimal configuration is then post-validated for generated currents.

Keywords: geotube, coastal engineering., water wave propagation, circulation, Shape optimization.

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C3.

Citation: Afaf Bouharguane, Pascal Azerad, Frédéric Bouchette, Fabien Marche, Bijan Mohammadi. Low complexity shape optimization & a posteriori high fidelity validation. Discrete & Continuous Dynamical Systems - B, 2010, 13 (4) : 759-772. doi: 10.3934/dcdsb.2010.13.759

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