Topological asymptotic analysis of a diffusive–convective–reactive problem
ISSN: 0264-4401
Article publication date: 15 July 2020
Issue publication date: 27 January 2021
Abstract
Purpose
The purpose of this study is sensitivity analysis of the L2-norm and H1-seminorm of the solution of a diffusive–convective–reactive problem to topological changes of the underlying material.
Design/methodology/approach
The topological derivative method is used to devise a simple and efficient topology design algorithm based on a level-set domain representation method.
Findings
Remarkably simple analytical expressions for the sensitivities are derived, which are useful for practical applications including heat exchange topology design and membrane eigenvalue maximization.
Originality/value
The topological asymptotic expansion associated with a diffusive–convective–reactive equation is rigorously derived, which is not available in the literature yet.
Keywords
Citation
Ruscheinsky, D., Carvalho, F., Anflor, C. and Novotny, A.A. (2021), "Topological asymptotic analysis of a diffusive–convective–reactive problem", Engineering Computations, Vol. 38 No. 1, pp. 477-500. https://doi.org/10.1108/EC-11-2019-0536
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited