Formulation of entropy-conservative discretizations for compressible flows of thermally perfect gases
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910046779080704 |
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| author | Aiello, Alessandro De Michele, Carlo Coppola, Gennaro |
| author_facet | Aiello, Alessandro De Michele, Carlo Coppola, Gennaro |
| contents | This study proposes a novel spatial discretization procedure for the compressible Euler equations that guarantees entropy conservation at a discrete level for thermally perfect gases. The procedure is based on a locally conservative formulation, and extends the entropy-conserving schemes to the more realistic case of thermally perfect gases, while still guaranteeing preservation of both linear invariants and kinetic energy. The proposed methodology, which can also be extended to multicomponent gases and to an Asymptotically Entropy-Conservative formulation, shows advantages in terms of accuracy and robustness when compared to existing similar approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08115 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formulation of entropy-conservative discretizations for compressible flows of thermally perfect gases Aiello, Alessandro De Michele, Carlo Coppola, Gennaro Fluid Dynamics Numerical Analysis 76N15, 76M25 This study proposes a novel spatial discretization procedure for the compressible Euler equations that guarantees entropy conservation at a discrete level for thermally perfect gases. The procedure is based on a locally conservative formulation, and extends the entropy-conserving schemes to the more realistic case of thermally perfect gases, while still guaranteeing preservation of both linear invariants and kinetic energy. The proposed methodology, which can also be extended to multicomponent gases and to an Asymptotically Entropy-Conservative formulation, shows advantages in terms of accuracy and robustness when compared to existing similar approaches. |
| title | Formulation of entropy-conservative discretizations for compressible flows of thermally perfect gases |
| topic | Fluid Dynamics Numerical Analysis 76N15, 76M25 |
| url | https://arxiv.org/abs/2507.08115 |