Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911962465566720 |
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| author | Frittelli, Massimo Sgura, Ivonne Bozzini, Benedetto |
| author_facet | Frittelli, Massimo Sgura, Ivonne Bozzini, Benedetto |
| contents | In this paper we introduce a bulk-surface reaction-diffusion (BSRD) model in three space dimensions that extends the DIB morphochemical model to account for the electrolyte contribution in the application, in order to study structure formation during discharge-charge processes in batteries. Here we propose to approximate the model by the Bulk-Surface Virtual Element Method on a tailor-made mesh that proves to be competitive with fast bespoke methods for PDEs on Cartesian grids. We present a selection of numerical simulations that accurately match the classical morphologies found in experiments. Finally, we compare the Turing patterns obtained by the coupled 3D BS-DIB model with those obtained with the original 2D version. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05285 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling Frittelli, Massimo Sgura, Ivonne Bozzini, Benedetto Numerical Analysis 65M60, 65M50, 65N40, 65P40 In this paper we introduce a bulk-surface reaction-diffusion (BSRD) model in three space dimensions that extends the DIB morphochemical model to account for the electrolyte contribution in the application, in order to study structure formation during discharge-charge processes in batteries. Here we propose to approximate the model by the Bulk-Surface Virtual Element Method on a tailor-made mesh that proves to be competitive with fast bespoke methods for PDEs on Cartesian grids. We present a selection of numerical simulations that accurately match the classical morphologies found in experiments. Finally, we compare the Turing patterns obtained by the coupled 3D BS-DIB model with those obtained with the original 2D version. |
| title | Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling |
| topic | Numerical Analysis 65M60, 65M50, 65N40, 65P40 |
| url | https://arxiv.org/abs/2307.05285 |