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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.16765 |
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| _version_ | 1866912285632495616 |
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| author | Wang, Zhaoyang Huang, Huaxiong Lin, Ping Xu, Shixin |
| author_facet | Wang, Zhaoyang Huang, Huaxiong Lin, Ping Xu, Shixin |
| contents | In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur only at the interface, and may induce deformation of the interface. For the governing equations derived based on the energy variational method, we propose a structure-preserving numerical scheme that satisfies the mass conservation and energy dissipation laws at the discrete level. Furthermore, we carry out a rigorous error analysis of the time-discrete scheme for a simplified case. A series of numerical experiments are conducted to validate the effectiveness of the model as well as the accuracy and stability of the scheme. In particular, we simulate microvessels with straight and bifurcated structures to illustrate the risk of microaneurysm formation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation Wang, Zhaoyang Huang, Huaxiong Lin, Ping Xu, Shixin Numerical Analysis In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur only at the interface, and may induce deformation of the interface. For the governing equations derived based on the energy variational method, we propose a structure-preserving numerical scheme that satisfies the mass conservation and energy dissipation laws at the discrete level. Furthermore, we carry out a rigorous error analysis of the time-discrete scheme for a simplified case. A series of numerical experiments are conducted to validate the effectiveness of the model as well as the accuracy and stability of the scheme. In particular, we simulate microvessels with straight and bifurcated structures to illustrate the risk of microaneurysm formation. |
| title | A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.16765 |