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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

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 and Continuous Dynamical Systems - B, 2010, 13 (4) : 759-772. doi: 10.3934/dcdsb.2010.13.759
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