Maximum principle for the mass fraction in a system with two mass balance equations
Three Finite Volume schemes are proposed in this note to satisfy the maximum principle for the mass fraction $y$, solution of an unsteady balance equation, including a relative velocity between phases and a source term. The continuous maximum principle is examined first. Then, linear implicit discre...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-04-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.244/ |
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| author | Lazare, Gauthier Feng, Qingqing Helluy, Philippe Hérard, Jean-Marc Hulsemann, Frank Pujet, Stéphane |
| author_facet | Lazare, Gauthier Feng, Qingqing Helluy, Philippe Hérard, Jean-Marc Hulsemann, Frank Pujet, Stéphane |
| author_sort | Lazare, Gauthier |
| collection | DOAJ |
| description | Three Finite Volume schemes are proposed in this note to satisfy the maximum principle for the mass fraction $y$, solution of an unsteady balance equation, including a relative velocity between phases and a source term. The continuous maximum principle is examined first. Then, linear implicit discrete schemes are detailed in a multi-dimensional and unstructured framework. |
| format | Article |
| id | doaj-art-28195afd1ba24f64baad6ffcd416c38e |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-28195afd1ba24f64baad6ffcd416c38e2025-02-07T13:48:46ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342024-04-01352G1819810.5802/crmeca.24410.5802/crmeca.244Maximum principle for the mass fraction in a system with two mass balance equationsLazare, Gauthier0https://orcid.org/0009-0000-8991-8851Feng, Qingqing1Helluy, Philippe2https://orcid.org/0000-0002-1077-1867Hérard, Jean-Marc3https://orcid.org/0000-0001-9099-6072Hulsemann, Frank4https://orcid.org/0000-0001-5736-4532Pujet, Stéphane5EDF R&D Chatou - 6 quai Waltier, 78400, Chatou, France.; IRMA, UMR 7501, 7 rue Descartes, 67000 Strasbourg, France.EDF R&D Chatou - 6 quai Waltier, 78400, Chatou, France.IRMA, UMR 7501, 7 rue Descartes, 67000 Strasbourg, France.EDF R&D Chatou - 6 quai Waltier, 78400, Chatou, France.; I2M - Institut de Mathématiques de Marseille, Aix Marseille Université, France.EDF R&D Chatou - 6 quai Waltier, 78400, Chatou, France.EDF R&D Chatou - 6 quai Waltier, 78400, Chatou, France.Three Finite Volume schemes are proposed in this note to satisfy the maximum principle for the mass fraction $y$, solution of an unsteady balance equation, including a relative velocity between phases and a source term. The continuous maximum principle is examined first. Then, linear implicit discrete schemes are detailed in a multi-dimensional and unstructured framework.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.244/maximum principleFinite Volume schemetwo-phase flownon-equilibrium velocity |
| spellingShingle | Lazare, Gauthier Feng, Qingqing Helluy, Philippe Hérard, Jean-Marc Hulsemann, Frank Pujet, Stéphane Maximum principle for the mass fraction in a system with two mass balance equations Comptes Rendus. Mécanique maximum principle Finite Volume scheme two-phase flow non-equilibrium velocity |
| title | Maximum principle for the mass fraction in a system with two mass balance equations |
| title_full | Maximum principle for the mass fraction in a system with two mass balance equations |
| title_fullStr | Maximum principle for the mass fraction in a system with two mass balance equations |
| title_full_unstemmed | Maximum principle for the mass fraction in a system with two mass balance equations |
| title_short | Maximum principle for the mass fraction in a system with two mass balance equations |
| title_sort | maximum principle for the mass fraction in a system with two mass balance equations |
| topic | maximum principle Finite Volume scheme two-phase flow non-equilibrium velocity |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.244/ |
| work_keys_str_mv | AT lazaregauthier maximumprincipleforthemassfractioninasystemwithtwomassbalanceequations AT fengqingqing maximumprincipleforthemassfractioninasystemwithtwomassbalanceequations AT helluyphilippe maximumprincipleforthemassfractioninasystemwithtwomassbalanceequations AT herardjeanmarc maximumprincipleforthemassfractioninasystemwithtwomassbalanceequations AT hulsemannfrank maximumprincipleforthemassfractioninasystemwithtwomassbalanceequations AT pujetstephane maximumprincipleforthemassfractioninasystemwithtwomassbalanceequations |