Topology optimization for microfluidic mixers by a phase field method

2025/10/22 by Liu, Zongyuan, Li, Jiajie, Zhu, Shengfeng
#49Q10 #65K10 #76M10 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2510.19192

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.

Citations

• Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows
• An efficient threshold dynamics method for topology optimization for fluids
• Optimal control-based inverse determination of electrode distribution for electroosmotic micromixer
• Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow

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