Topology optimization for particle manipulation in fluidic systems with wall contact interactions

초록

This paper presents a computational framework for designing fluidic systems that manipulate the trajectories of suspended particles by accounting for both fluid drag and particle–wall collisions. While topology optimization has been widely applied to achieve new designs in various fields and has recently been extended to problems involving particle dynamics, existing approaches typically consider only fluid–particle interactions, neglecting wall collisions that are often critical in practical engineering applications such as cell sorting and industrial filtration. To address this limitation, a unified numerical formulation is introduced that incorporates both fluid–particle dynamics and particle–wall contact effects. Fluid flow is calculated by solving the incompressible Navier–Stokes equations using the finite element method, while particle trajectories are obtained from Newton’s second law via the Newmark scheme within a consistent algorithmic structure. The optimization objective is defined in terms of particle kinematics, and the corresponding sensitivities are derived through an adjoint-based approach. Numerical examples demonstrate the capability of the present method to manipulate particle trajectories within fluidic domains while capturing particle–wall interactions. The results suggest that the proposed software framework can serve as a systematic design tool to develop high-performance particle separation and filtration systems in various engineering contexts.

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