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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2310.01522 |
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| _version_ | 1866912135380992000 |
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| author | Acosta-Soba, Daniel Guillén-González, Francisco Rodríguez-Galván, J. Rafael Wang, Jin |
| author_facet | Acosta-Soba, Daniel Guillén-González, Francisco Rodríguez-Galván, J. Rafael Wang, Jin |
| contents | In this paper, we present a new computational framework to approximate a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility that preserves the mass of the mixture, the pointwise bounds of the density and the decreasing energy. This numerical scheme is based on a finite element approximation for the Navier-Stokes fluid flow with discontinuous pressure and an upwind discontinuous Galerkin scheme for the Cahn-Hilliard part. Finally, several numerical experiments such as a convergence test and some well-known benchmark problems are conducted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01522 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Property-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility Acosta-Soba, Daniel Guillén-González, Francisco Rodríguez-Galván, J. Rafael Wang, Jin Numerical Analysis In this paper, we present a new computational framework to approximate a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility that preserves the mass of the mixture, the pointwise bounds of the density and the decreasing energy. This numerical scheme is based on a finite element approximation for the Navier-Stokes fluid flow with discontinuous pressure and an upwind discontinuous Galerkin scheme for the Cahn-Hilliard part. Finally, several numerical experiments such as a convergence test and some well-known benchmark problems are conducted. |
| title | Property-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2310.01522 |