On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915786041327616 |
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| author | Göttlich, Simone Schuster, Michael Ulke, Alena |
| author_facet | Göttlich, Simone Schuster, Michael Ulke, Alena |
| contents | In this paper, we study hydrogen-natural gas mixtures transported through pipeline networks. The flow is modeled by the isothermal Euler equations with a pressure law involving a non-constant, composition-dependent compressibility factor. For a broad class of such compressibility models, we prove the existence of steady-state solutions on networks containing compressor stations. The analysis is based on an implicit representation of the pressure profiles and a continuity argument that overcomes the discontinuous dependence of the gas composition on the flow direction. Numerical examples illustrate the influence of different compressibility models on the resulting states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08481 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks Göttlich, Simone Schuster, Michael Ulke, Alena Numerical Analysis Analysis of PDEs In this paper, we study hydrogen-natural gas mixtures transported through pipeline networks. The flow is modeled by the isothermal Euler equations with a pressure law involving a non-constant, composition-dependent compressibility factor. For a broad class of such compressibility models, we prove the existence of steady-state solutions on networks containing compressor stations. The analysis is based on an implicit representation of the pressure profiles and a continuity argument that overcomes the discontinuous dependence of the gas composition on the flow direction. Numerical examples illustrate the influence of different compressibility models on the resulting states. |
| title | On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2602.08481 |