A decoupled structure preserving scheme for the Poisson-Nernst-Planck Navier-Stokes equations and its error analysis
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916841017835520 |
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| author | Yu, Ziyao Cheng, Qing Shen, Jie Wang, Changyou |
| author_facet | Yu, Ziyao Cheng, Qing Shen, Jie Wang, Changyou |
| contents | We consider in this paper a numerical approximation of Poisson-Nernst-Planck-Navier- Stokes (PNP-NS) system. We construct a decoupled semi-discrete and fully discrete scheme that enjoys the properties of positivity preserving, mass conserving, and unconditionally energy stability. Then, we establish the well-posedness and regularity of the initial and (periodic) boundary value problem of the PNP-NS system under suitable assumptions on the initial data, and carry out a rigorous convergence analysis for the fully discretized scheme. We also present some numerical results to validate the positivity-preserving property and the accuracy of our scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17349 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A decoupled structure preserving scheme for the Poisson-Nernst-Planck Navier-Stokes equations and its error analysis Yu, Ziyao Cheng, Qing Shen, Jie Wang, Changyou Numerical Analysis Analysis of PDEs We consider in this paper a numerical approximation of Poisson-Nernst-Planck-Navier- Stokes (PNP-NS) system. We construct a decoupled semi-discrete and fully discrete scheme that enjoys the properties of positivity preserving, mass conserving, and unconditionally energy stability. Then, we establish the well-posedness and regularity of the initial and (periodic) boundary value problem of the PNP-NS system under suitable assumptions on the initial data, and carry out a rigorous convergence analysis for the fully discretized scheme. We also present some numerical results to validate the positivity-preserving property and the accuracy of our scheme. |
| title | A decoupled structure preserving scheme for the Poisson-Nernst-Planck Navier-Stokes equations and its error analysis |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2311.17349 |