A low-order hybrid method for the variable-density incompressible Navier-Stokes equations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908778837835776 |
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| author | Dauphin, Mathias Di Pietro, Daniele A. Droniou, Jérôme Skouras, Alexandros |
| author_facet | Dauphin, Mathias Di Pietro, Daniele A. Droniou, Jérôme Skouras, Alexandros |
| contents | In this work we introduce and analyse a new low-order method for the variable-density incompressible Navier-Stokes equations. The main novelty of the proposed method lies in the support of general meshes, possibly including polygonal or polyhedral elements as well as non-matching interfaces. We carry out a complete analysis, showing stability, existence and uniqueness of a discrete solution, and convergence of the latter to a suitably defined weak solution of the continuous problem. Numerical tests validate the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14405 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A low-order hybrid method for the variable-density incompressible Navier-Stokes equations Dauphin, Mathias Di Pietro, Daniele A. Droniou, Jérôme Skouras, Alexandros Numerical Analysis 65N30, 65N08, 76D05 In this work we introduce and analyse a new low-order method for the variable-density incompressible Navier-Stokes equations. The main novelty of the proposed method lies in the support of general meshes, possibly including polygonal or polyhedral elements as well as non-matching interfaces. We carry out a complete analysis, showing stability, existence and uniqueness of a discrete solution, and convergence of the latter to a suitably defined weak solution of the continuous problem. Numerical tests validate the theoretical results. |
| title | A low-order hybrid method for the variable-density incompressible Navier-Stokes equations |
| topic | Numerical Analysis 65N30, 65N08, 76D05 |
| url | https://arxiv.org/abs/2601.14405 |