Topological asymptotic analysis of a diffusive–convective–reactive problem. Issue 1 (15th July 2020)

• Record Type: Journal Article
• Authors: Ruscheinsky, Dirlei; Carvalho, Fernando; Anflor, Carla; Novotny, Andre Antonio
• Is Part Of: Engineering computations. Volume 38:Issue 1(2021)
• Page Start: 477
• Page End: 500
• Publication Date: 2020-07-15
• Subjects: Topological derivative -- Asymptotic analysis -- Diffusive/convective/reactive problem -- Heat exchange topology design -- Membrane eigenvalue maximization; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-11-2019-0536
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: The purpose of this study is sensitivity analysis of the L 2 -norm and H 1 -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.