A node-conservative vorticity-preserving Finite Volume method for linear acoustics on unstructured grids
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912000893779968 |
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| author | Barsukow, Wasilij Loubère, Raphaël Maire, Pierre-Henri |
| author_facet | Barsukow, Wasilij Loubère, Raphaël Maire, Pierre-Henri |
| contents | Instead of ensuring that fluxes across edges add up to zero, we split the edge in two halves and also associate different fluxes to each of its sides. This is possible due to non-standard Riemann solvers with free parameters. We then enforce conservation by making sure that the fluxes around a node sum up to zero, which fixes the value of the free parameter. We demonstrate that for linear acoustics one of the non-standard Riemann solvers leads to a vorticity preserving method on unstructured meshes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A node-conservative vorticity-preserving Finite Volume method for linear acoustics on unstructured grids Barsukow, Wasilij Loubère, Raphaël Maire, Pierre-Henri Numerical Analysis 65M08, 35E15, 35L65 Instead of ensuring that fluxes across edges add up to zero, we split the edge in two halves and also associate different fluxes to each of its sides. This is possible due to non-standard Riemann solvers with free parameters. We then enforce conservation by making sure that the fluxes around a node sum up to zero, which fixes the value of the free parameter. We demonstrate that for linear acoustics one of the non-standard Riemann solvers leads to a vorticity preserving method on unstructured meshes. |
| title | A node-conservative vorticity-preserving Finite Volume method for linear acoustics on unstructured grids |
| topic | Numerical Analysis 65M08, 35E15, 35L65 |
| url | https://arxiv.org/abs/2408.13506 |