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

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Author(s):
Azevedo, Anderson Soares da Costa ; Li, Hao ; Ishida, Naouyuki ; Siqueira, Lucas Oliveira ; Cortez, Romulo Luz ; Silva, Emilio Carlos Nelli ; Nishiwaki, Shinji ; Picelli, Renato
Total Authors: 8
Document type: Journal article
Source: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING; v. 125, n. 13, p. 25-pg., 2024-03-26.
Abstract

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)

FAPESP's process: 18/05797-8 - Addressing design challenges of offshore structures via Multiphysics topology optimization
Grantee:Renato Picelli Sanches
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
Grantee:Julio Romano Meneghini
Support Opportunities: Research Grants - Research Centers in Engineering Program
FAPESP's process: 20/15230-5 - Research Centre for Greenhouse Gas Innovation - RCG2I
Grantee:Julio Romano Meneghini
Support Opportunities: Research Grants - Research Centers in Engineering Program