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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2409.05473 |
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| _version_ | 1866913494037692416 |
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| author | Kolbe, Niklas Müller, Siegfried |
| author_facet | Kolbe, Niklas Müller, Siegfried |
| contents | A recently developed coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this purpose, an elastic solid modeled by a linear system of conservation laws is coupled to the two-phase Baer-Nunziato-type model for isothermal fluids, a nonlinear hyperbolic system with non-conservative products. For the coupling of the two systems the Jin-Xin relaxation concept is employed and embedded in a second order finite volume scheme. For a proof of concept simulations in one space dimension are performed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid Kolbe, Niklas Müller, Siegfried Numerical Analysis 35L65, 35R02, 65M08 A recently developed coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this purpose, an elastic solid modeled by a linear system of conservation laws is coupled to the two-phase Baer-Nunziato-type model for isothermal fluids, a nonlinear hyperbolic system with non-conservative products. For the coupling of the two systems the Jin-Xin relaxation concept is employed and embedded in a second order finite volume scheme. For a proof of concept simulations in one space dimension are performed. |
| title | A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid |
| topic | Numerical Analysis 35L65, 35R02, 65M08 |
| url | https://arxiv.org/abs/2409.05473 |