Topology optimization for microfluidic mixers by a phase field method
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911226237288448 |
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| author | Liu, Zongyuan Li, Jiajie Zhu, Shengfeng |
| author_facet | Liu, Zongyuan Li, Jiajie Zhu, Shengfeng |
| contents | We investigate multi-physical topology optimization for microfluidic mixers employing the phase-field model. The optimization problem is formulated using a modified Ginzburg-Landau free energy functional. To eliminate fluid blockage in microfluidic mixers, we incorporate the coupled Navier-Stokes, convection-diffusion and Poisson-Boltzmann equations. An Allen-Cahn type gradient flow method is proposed based on sensitivity analysis. The algorithm is validated for its computational effectiveness through numerical simulations of benchmark problems in 2D and 3D. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19192 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topology optimization for microfluidic mixers by a phase field method Liu, Zongyuan Li, Jiajie Zhu, Shengfeng Optimization and Control 49Q10, 65K10, 76M10 We investigate multi-physical topology optimization for microfluidic mixers employing the phase-field model. The optimization problem is formulated using a modified Ginzburg-Landau free energy functional. To eliminate fluid blockage in microfluidic mixers, we incorporate the coupled Navier-Stokes, convection-diffusion and Poisson-Boltzmann equations. An Allen-Cahn type gradient flow method is proposed based on sensitivity analysis. The algorithm is validated for its computational effectiveness through numerical simulations of benchmark problems in 2D and 3D. |
| title | Topology optimization for microfluidic mixers by a phase field method |
| topic | Optimization and Control 49Q10, 65K10, 76M10 |
| url | https://arxiv.org/abs/2510.19192 |