Open AccessApproximation of a Wanted Flow via Topological Sensitivity Analysis
Author(s) -
Mohamed Abdelwahed
Publication year - 2022
Publication title -
international journal of materials
Language(s) - English
Resource type - Journals
ISSN - 2313-0555
DOI - 10.46300/91018.2022.9.2
Subject(s) - sensitivity (control systems) , topology (electrical circuits) , obstacle , variation (astronomy) , flow (mathematics) , domain (mathematical analysis) , function (biology) , mathematics , computer science , mathematical optimization , mathematical analysis , physics , geometry , engineering , combinatorics , electronic engineering , evolutionary biology , political science , law , astrophysics , biology
We propose an optimization algorithm for the geometric control of fluid flow. the used approach is based on the topological sensitivity analysis method. It consists in studying the variation of a cost function with respect to the insertion of a small obstacle in the domain. Some theoretical and numerical results are presented in 2D and 3D.