Body-fitted topology optimization via integer linear programming using surface capturing techniques

Autor(es)

Azevedo, Anderson Soares da Costa ; Li, Hao ; Ishida, Naouyuki ; Siqueira, Lucas Oliveira ; Cortez, Romulo Luz ; Silva, Emilio Carlos Nelli ; Nishiwaki, Shinji ; Picelli, Renato

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING; v. 125, n. 13, p. 25-pg., 2024-03-26.

Resumo

Recent advancements in computational tools and additive manufacturing have expanded design possibilities on fluid devices and structures to also include aesthetics. However, traditional discrete density-based topology optimization methods usually use square and cubic regular meshes, resulting in jagged contour patterns that require mesh refinement and post-processing to numerical solution steps of complex physics problems. In this article, we propose a new isosurface boundary capture strategy for topology optimization in structural and fluid flow problems. The capture of smoothed boundaries is done via a simple strategy through element splitting and analysis domain remeshing. The smoothing procedure novelty lies on the optimizer regular mesh decomposition into smaller triangular or tetrahedral elements with a pseudo-density nodal function that produces implicit geometry boundaries. We employ the TOBS-GT (topology optimization of binary structures with geometry trimming) method to solve optimization problems for mean compliance and fluid flow energy dissipation, subject to a volume fraction constraint. Since, we perform discrete body-fitted optimization, the material interpolation models are expressed in linear form without penalty factors. Our method produces a lower computational cost topology evolution with high resolution and mitigated sharp details, achieved via smooth edges and surfaces, as demonstrated through benchmark numerical examples in two- and three-dimensional space. In addition, the proposed strategy facilitates the optimization of benchmark fluid flow examples for moderate Reynolds numbers. (AU)

• Processo FAPESP: 18/05797-8 - Abordando desafios de projeto de estruturas offshore através de otimização topológica multifísica
• Beneficiário: Renato Picelli Sanches
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores
• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• Processo FAPESP: 20/15230-5 - Centro de Pesquisa e Inovação de Gases de Efeito Estufa - RCG2I
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia