activity
20242026
collaborators

5 papers

math.OC2026

Adaptive Time Windows for Discrete Adjoint Topology Optimization of Unsteady Flows

Zongyuan Liu, Kentaro Yaji, Musaddiq Al Ali +1

Rather than prescribing an evaluation interval a priori, the proposed framework characterizes each evolving unsteady flow using a sequence of time windows. A consecutive-window con…

math.OC2025

Maximization of Supercapacitor Storage via Topology Optimization of Electrode Structures

Jiajie Li, Xiang Ji, Shenggao Zhou +1

As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we pr…

math.OC2025

Topology optimization for microfluidic mixers by a phase field method

Zongyuan Liu, Jiajie Li, Shengfeng Zhu

We investigate multi-physical topology optimization for microfluidic mixers employing the phase-field model. The optimization problem is formulated using a modified Ginzburg-Landau…

math.OC2024

Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage

Jiajie Li, Shenggao Zhou, Shengfeng Zhu

We build a new mathematical model of shape optimization for maximizing ionic concentration governed by the multi-physical coupling steady-state Poisson-Nernst-Planck system. Shape…

math.NA2024

Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows

Jiajie Li, Shengfeng Zhu

We study topology optimization governed by the incompressible Navier-Stokes flows using a phase field model. Novel stabilized semi-implicit schemes for the gradient flows of Allen-…