Sequential topology optimization: SIMP initialization for level-set boundary refinement
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909017380487168 |
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| author | Ježek, Ondřej Kopačka, Ján Isoz, Martin Gabriel, Dušan |
| author_facet | Ježek, Ondřej Kopačka, Ján Isoz, Martin Gabriel, Dušan |
| contents | Density-based topology optimization methods such as SIMP enable efficient topological exploration but produce diffuse material boundaries that require interpretation before manufacturing. Level-set methods maintain sharp interfaces but are sensitive to the initial design. This paper presents a sequential framework that addresses these complementary limitations through a signed distance function (SDF)-based geometry transfer, formulated for three-dimensional meshes. The SIMP density distribution is converted into an SDF that initializes subsequent level-set boundary refinement. From the level-set perspective, the SIMP-derived initialization mitigates sensitivity to the initial design. From the SIMP perspective, the level-set stage acts as optimization-driven post-processing that produces manufacturing-ready boundaries. Validation on three-dimensional cantilever and MBB benchmarks demonstrates compliance comparable to standalone level-set optimization, with up to 4.6x wall-clock speedup on the cantilever case. The full implementation is released under an open-source license to support reproducibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04735 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sequential topology optimization: SIMP initialization for level-set boundary refinement Ježek, Ondřej Kopačka, Ján Isoz, Martin Gabriel, Dušan Computational Engineering, Finance, and Science Numerical Analysis Optimization and Control 74P15 (Primary) 65K10 65D18 I.3.5; G.1.6 Density-based topology optimization methods such as SIMP enable efficient topological exploration but produce diffuse material boundaries that require interpretation before manufacturing. Level-set methods maintain sharp interfaces but are sensitive to the initial design. This paper presents a sequential framework that addresses these complementary limitations through a signed distance function (SDF)-based geometry transfer, formulated for three-dimensional meshes. The SIMP density distribution is converted into an SDF that initializes subsequent level-set boundary refinement. From the level-set perspective, the SIMP-derived initialization mitigates sensitivity to the initial design. From the SIMP perspective, the level-set stage acts as optimization-driven post-processing that produces manufacturing-ready boundaries. Validation on three-dimensional cantilever and MBB benchmarks demonstrates compliance comparable to standalone level-set optimization, with up to 4.6x wall-clock speedup on the cantilever case. The full implementation is released under an open-source license to support reproducibility. |
| title | Sequential topology optimization: SIMP initialization for level-set boundary refinement |
| topic | Computational Engineering, Finance, and Science Numerical Analysis Optimization and Control 74P15 (Primary) 65K10 65D18 I.3.5; G.1.6 |
| url | https://arxiv.org/abs/2605.04735 |