A survey on isothermal and isentropic Baer-Nunziato-type models
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917716602912768 |
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| author | Hantke, Maren Müller, Siegfried Sikstel, Aleksey Thein, Ferdinand |
| author_facet | Hantke, Maren Müller, Siegfried Sikstel, Aleksey Thein, Ferdinand |
| contents | Multi-component Baer-Nunziato-type models for isothermal and isentropic fluids are investigated. These are given by balance equations for volume fractions, density and momentum for each component accounting for the relaxation to equilibrium by means of relaxation terms. Mathematical properties of the models are derived such as hyperbolicity and symmetrization. The fields are characterized and corresponding Riemann invariants are determined. Appropriate entropy-entropy flux pairs are derived taking into account the phasic energy equations including the heat flux. Physically meaningful constraints are presented that ensure the entropy inequality to hold. Instantaneous relaxation to equilibrium is investigated and appropriate algorithms are presented. Numerical results for the isothermal Baer-Nunziato model are compared to an isothermal Euler model and to an isothermal phase-field model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_06919 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A survey on isothermal and isentropic Baer-Nunziato-type models Hantke, Maren Müller, Siegfried Sikstel, Aleksey Thein, Ferdinand Fluid Dynamics Mathematical Physics 76T30, 76T10, 74A15, 35L60, 82C26 Multi-component Baer-Nunziato-type models for isothermal and isentropic fluids are investigated. These are given by balance equations for volume fractions, density and momentum for each component accounting for the relaxation to equilibrium by means of relaxation terms. Mathematical properties of the models are derived such as hyperbolicity and symmetrization. The fields are characterized and corresponding Riemann invariants are determined. Appropriate entropy-entropy flux pairs are derived taking into account the phasic energy equations including the heat flux. Physically meaningful constraints are presented that ensure the entropy inequality to hold. Instantaneous relaxation to equilibrium is investigated and appropriate algorithms are presented. Numerical results for the isothermal Baer-Nunziato model are compared to an isothermal Euler model and to an isothermal phase-field model. |
| title | A survey on isothermal and isentropic Baer-Nunziato-type models |
| topic | Fluid Dynamics Mathematical Physics 76T30, 76T10, 74A15, 35L60, 82C26 |
| url | https://arxiv.org/abs/2407.06919 |