Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915279772057600 |
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| author | Li, Jiajie Zhou, Shenggao Zhu, Shengfeng |
| author_facet | Li, Jiajie Zhou, Shenggao Zhu, Shengfeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage Li, Jiajie Zhou, Shenggao Zhu, Shengfeng Optimization and Control 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. |
| title | Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2406.09616 |