Topology optimization for microfluidic mixers by a phase field method

Zongyuan Liu; Jiajie Li; Shengfeng Zhu

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arXiv · 2510.19192

Topology optimization for microfluidic mixers by a phase field method

Zongyuan Liu·Jiajie Li·Shengfeng Zhu

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Abstract

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.

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BibTeX RIS

Zongyuan Liu, Jiajie Li, Shengfeng Zhu. 2025-10-22. Topology optimization for microfluidic mixers by a phase field method. https://arxiv.org/abs/2510.19192

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