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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.12362 |
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| _version_ | 1866916328244248576 |
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| author | Grec, Bérénice Simic, Srboljub |
| author_facet | Grec, Bérénice Simic, Srboljub |
| contents | The aim of the study is to compare the standard Maxwell-Stefan model of diffusion with the higher-order one recently derived. This higher-order model takes into account the influence of the complete pressure tensor. A numerical scheme is developed for comparing the two models through numerical simulations of three-component diffusion. It is shown that the higher-order model preserves qualitative features of the diffusion process, but quantitative differences were observed in the behavior of the mixture components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion Grec, Bérénice Simic, Srboljub Analysis of PDEs The aim of the study is to compare the standard Maxwell-Stefan model of diffusion with the higher-order one recently derived. This higher-order model takes into account the influence of the complete pressure tensor. A numerical scheme is developed for comparing the two models through numerical simulations of three-component diffusion. It is shown that the higher-order model preserves qualitative features of the diffusion process, but quantitative differences were observed in the behavior of the mixture components. |
| title | Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.12362 |