Topological sensitivity analysis based method for solving a geometry reconstruction problem

Emna Ghezaiel and Maatoug Hassine

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 169, issue C, 26-50

Abstract: This paper is concerned with the topological sensitivity analysis for a parabolic type operator. We consider the unsteady-state heat transfer equation as a model problem and we develop the topological asymptotic expansion valid for a large class of cost functions. The obtained theoretical results are based on a simplified mathematical analysis involving the elliptic part of the operator. In the numerical part, we proposed a simple and fast geometry reconstruction algorithm. The proposed algorithm is applied for recovering internal cooling holes in a turbine blade by minimizing various error functions measuring the difference between the current and actual temperature fields.

Keywords: Topological asymptotic expansion; Parabolic operator; Calculus of variations; Unsteady-state heat transfer problem; Geometry reconstruction algorithm; Cooling turbine blade (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:169:y:2020:i:c:p:26-50

DOI: 10.1016/j.matcom.2019.09.022

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