A robust solver for large-scale heat transfer topology optimization
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915100262137856 |
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| author | Zhou, Yingjie Ye, Changqing Liu, Yucheng Fu, Shubin Chung, Eric T. |
| author_facet | Zhou, Yingjie Ye, Changqing Liu, Yucheng Fu, Shubin Chung, Eric T. |
| contents | This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topology optimization. The solver incorporates an interpolation technique to accelerate convergence in high-resolution domains, along with a multiscale multigrid preconditioner to handle complex coefficient fields with significant contrast. All modules of the optimization solver are implemented on a high performance computing cluster by the PETSc numerical library. Through a series of numerical investigations, we demonstrate the effectiveness of our approach in enhancing convergence and robustness during the optimization process, particularly in high-contrast scenarios with resolutions up to $1024^3$. Our performance results indicate that the proposed preconditioner achieves over $2\times$ speedup against the default algebraic multigrid in PETSc for high-contrast cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A robust solver for large-scale heat transfer topology optimization Zhou, Yingjie Ye, Changqing Liu, Yucheng Fu, Shubin Chung, Eric T. Numerical Analysis 65F10, 65N55, 65Y05, 80M50 This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topology optimization. The solver incorporates an interpolation technique to accelerate convergence in high-resolution domains, along with a multiscale multigrid preconditioner to handle complex coefficient fields with significant contrast. All modules of the optimization solver are implemented on a high performance computing cluster by the PETSc numerical library. Through a series of numerical investigations, we demonstrate the effectiveness of our approach in enhancing convergence and robustness during the optimization process, particularly in high-contrast scenarios with resolutions up to $1024^3$. Our performance results indicate that the proposed preconditioner achieves over $2\times$ speedup against the default algebraic multigrid in PETSc for high-contrast cases. |
| title | A robust solver for large-scale heat transfer topology optimization |
| topic | Numerical Analysis 65F10, 65N55, 65Y05, 80M50 |
| url | https://arxiv.org/abs/2410.06850 |