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arXiv · 2406.09616

Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage

Jiajie Li·Shenggao Zhou·Shengfeng Zhu
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Abstract

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 sensitivity analysis is performed to obtain the Eulerian derivative of the cost functional. The Gummel fixed-point method with inverse harmonic averaging technique on exponential coefficient is used to solve efficiently the steady-state Poisson-Nernst-Planck system. Various numerical results using a shape gradient algorithm in 2d and 3d are presented.

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Jiajie Li, Shenggao Zhou, Shengfeng Zhu. 2024-06-13. Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage. https://arxiv.org/abs/2406.09616

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