Topology optimization for microfluidic mixers by a phase field method
Optimization and Control
2025-10-23 v1
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.
Cite
@article{arxiv.2510.19192,
title = {Topology optimization for microfluidic mixers by a phase field method},
author = {Zongyuan Liu and Jiajie Li and Shengfeng Zhu},
journal= {arXiv preprint arXiv:2510.19192},
year = {2025}
}
Comments
22 pages, 17 figures