Bi-objective topology optimization for direct current concentration and heat flux cloaking using adaptive weighting method

Mingook Jung, Sung Han Lee, Jeonghoon Yoo

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This study presents a topology optimization method for direct current concentration and heat flux cloaking. For bi- functionality regarding different physical flow manipulations, two objective functions are constructed to define each physical performance, and utility functions are established using a weighted norm approach for simultaneous performance improvement. An initial and utopia points-based adaptive weighting method is proposed to appropriately reflect preferences between conflicting objective functions. Using different preferences, a Pareto-optimal solution set evenly distributed in the objective space is explored. The optimization process is based on the phase field approach which introduces the reaction–diffusion equation combined with the double well potentials as an update scheme. The effectiveness of the proposed method is verified through two numerical examples.

Original languageEnglish
Article number292
JournalStructural and Multidisciplinary Optimization
Issue number10
Publication statusPublished - 2022 Oct

Bibliographical note

Funding Information:
This research was supported by the Korea institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Ministry of Trade, Industry and Energy, Republic of Korea (No. 20204030200010) and also supported by National Research Foundation of Korea (NRF) Grant funded by the Korea government (NRF-2019R1A2B5B01069788).

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Control and Optimization
  • Computer Graphics and Computer-Aided Design


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