Topological optimization for solids under heat and mass transfer using boundary element

The objetive of this work is to present the implementation of a topological-shape sensitivity formulation in a BEM analysis for simultaneous heat and mass transfer optimization problems. The proposed approach uses a topological derivative in order to estimate the sensitivity to create a hole in the...

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Main Authors: Carla Tatiana Mota Anflor, Jhon Nero Vaz Goulart, Rogério José Marczak
Format: Article
Language:English
Published: Universidad de Antioquia 2013-01-01
Series:Revista Facultad de Ingeniería Universidad de Antioquia
Subjects:
Online Access:https://revistas.udea.edu.co/index.php/ingenieria/article/view/14224
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author Carla Tatiana Mota Anflor
Jhon Nero Vaz Goulart
Rogério José Marczak
author_facet Carla Tatiana Mota Anflor
Jhon Nero Vaz Goulart
Rogério José Marczak
author_sort Carla Tatiana Mota Anflor
collection DOAJ
description The objetive of this work is to present the implementation of a topological-shape sensitivity formulation in a BEM analysis for simultaneous heat and mass transfer optimization problems. The proposed approach uses a topological derivative in order to estimate the sensitivity to create a hole in the domain of the problem. Thus, it is evaluated at internal points, and the ones showing the lowest values are used to remove material by opening circular cavity. As the iterative process evolves, the original domain has holes progressively punched out until a given stop criteria is achieved. Since the sensitivities for each of the differential equations are different, a penalization-type approach has been used to weight the sensitivities associated to each problem. This allows the imposition of distinct penalization factors for each problem, according to specified priorities. The resutls obtained showed good agreement with solutions available in the literature.
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spelling doaj.art-d387cb57c4be4313849b7545103a39ca2023-03-23T12:36:34ZengUniversidad de AntioquiaRevista Facultad de Ingeniería Universidad de Antioquia0120-62302422-28442013-01-016510.17533/udea.redin.14224Topological optimization for solids under heat and mass transfer using boundary elementCarla Tatiana Mota Anflor0Jhon Nero Vaz Goulart1Rogério José Marczak2University of BrasíliaUniversity of BrasíliaFederal University of Rio Grande The objetive of this work is to present the implementation of a topological-shape sensitivity formulation in a BEM analysis for simultaneous heat and mass transfer optimization problems. The proposed approach uses a topological derivative in order to estimate the sensitivity to create a hole in the domain of the problem. Thus, it is evaluated at internal points, and the ones showing the lowest values are used to remove material by opening circular cavity. As the iterative process evolves, the original domain has holes progressively punched out until a given stop criteria is achieved. Since the sensitivities for each of the differential equations are different, a penalization-type approach has been used to weight the sensitivities associated to each problem. This allows the imposition of distinct penalization factors for each problem, according to specified priorities. The resutls obtained showed good agreement with solutions available in the literature. https://revistas.udea.edu.co/index.php/ingenieria/article/view/14224potential problemsboundary elementstopological derivativemass transfershape optimization
spellingShingle Carla Tatiana Mota Anflor
Jhon Nero Vaz Goulart
Rogério José Marczak
Topological optimization for solids under heat and mass transfer using boundary element
Revista Facultad de Ingeniería Universidad de Antioquia
potential problems
boundary elements
topological derivative
mass transfer
shape optimization
title Topological optimization for solids under heat and mass transfer using boundary element
title_full Topological optimization for solids under heat and mass transfer using boundary element
title_fullStr Topological optimization for solids under heat and mass transfer using boundary element
title_full_unstemmed Topological optimization for solids under heat and mass transfer using boundary element
title_short Topological optimization for solids under heat and mass transfer using boundary element
title_sort topological optimization for solids under heat and mass transfer using boundary element
topic potential problems
boundary elements
topological derivative
mass transfer
shape optimization
url https://revistas.udea.edu.co/index.php/ingenieria/article/view/14224
work_keys_str_mv AT carlatatianamotaanflor topologicaloptimizationforsolidsunderheatandmasstransferusingboundaryelement
AT jhonnerovazgoulart topologicaloptimizationforsolidsunderheatandmasstransferusingboundaryelement
AT rogeriojosemarczak topologicaloptimizationforsolidsunderheatandmasstransferusingboundaryelement