Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909176690638848 |
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| author | da Veiga, L. Beirão Dassi, F. Vacca, G. |
| author_facet | da Veiga, L. Beirão Dassi, F. Vacca, G. |
| contents | In the present contribution we propose a novel conforming Finite Element scheme for the time-dependent Navier-Stokes equation, which is proven to be both convection quasi-robust and pressure robust. The method is built combining a "divergence-free" velocity/pressure couple (such as the Scott-Vogelius element), a Discontinuous Galerkin in time approximation, and a suitable SUPG-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13952 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation da Veiga, L. Beirão Dassi, F. Vacca, G. Numerical Analysis In the present contribution we propose a novel conforming Finite Element scheme for the time-dependent Navier-Stokes equation, which is proven to be both convection quasi-robust and pressure robust. The method is built combining a "divergence-free" velocity/pressure couple (such as the Scott-Vogelius element), a Discontinuous Galerkin in time approximation, and a suitable SUPG-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included. |
| title | Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2302.13952 |