TY - JFULL AU - Mohamed Abdelwahed PY - 2013/4/ TI - Optimization of Lakes Aeration Process T2 - International Journal of Mathematical and Computational Sciences SP - 357 EP - 361 VL - 7 SN - 1307-6892 UR - https://publications.waset.org/pdf/9778 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 75, 2013 N2 - The aeration process via injectors is used to combat the lack of oxygen in lakes due to eutrophication. A 3D numerical simulation of the resulting flow using a simplified model is presented. In order to generate the best dynamic in the fluid with respect to the aeration purpose, the optimization of the injectors location is considered. We propose to adapt to this problem the topological sensitivity analysis method which gives the variation of a criterion with respect to the creation of a small hole in the domain. The main idea is to derive the topological sensitivity analysis of the physical model with respect to the insertion of an injector in the fluid flow domain. We propose in this work a topological optimization algorithm based on the studied asymptotic expansion. Finally we present some numerical results, showing the efficiency of our approach ER -