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


  • Carla Tatiana Mota-Anflor Universidade de Brasília.
  • Jhon Nero Vaz-Goulart Universidade de Brasília.
  • Rogério José Marczak Universidad Federal de Rio Grande


Shape optimization, potential problems, boundary elements, topological derivative, mass transfer


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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How to Cite

Mota-Anflor, C. T., Vaz-Goulart, J. N., & Marczak, R. J. (2013). Topological optimization for solids under heat and mass transfer using boundary element. Revista Facultad De Ingeniería Universidad De Antioquia, (65), 126–138. Retrieved from