A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910011323580416 |
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| author | Brunk, Aaron Jüngel, Ansgar Lukáčová-Medvid'ová, Maria |
| author_facet | Brunk, Aaron Jüngel, Ansgar Lukáčová-Medvid'ová, Maria |
| contents | A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic boundary conditions is presented. The system consists of the Navier-Stokes equations, together with a quasi-incompressibility constraint, coupled with the cross-diffusion Maxwell-Stefan equations. The numerical scheme preserves the partial masses and the quasi-incompressibility constraint and dissipates the discrete energy. Numerical experiments in two space dimensions illustrate the convergence of the scheme and the structure-preserving properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11892 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems Brunk, Aaron Jüngel, Ansgar Lukáčová-Medvid'ová, Maria Numerical Analysis 65M60, 65N30, 76T30, 80M10 A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic boundary conditions is presented. The system consists of the Navier-Stokes equations, together with a quasi-incompressibility constraint, coupled with the cross-diffusion Maxwell-Stefan equations. The numerical scheme preserves the partial masses and the quasi-incompressibility constraint and dissipates the discrete energy. Numerical experiments in two space dimensions illustrate the convergence of the scheme and the structure-preserving properties. |
| title | A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems |
| topic | Numerical Analysis 65M60, 65N30, 76T30, 80M10 |
| url | https://arxiv.org/abs/2504.11892 |