Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915568118923264 |
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| author | Orlando, Giuseppe Bonaventura, Luca |
| author_facet | Orlando, Giuseppe Bonaventura, Luca |
| contents | We analyze schemes based on a general Implicit-Explicit (IMEX) time discretization for the compressible Euler equations of gas dynamics, showing that they are asymptotic-preserving (AP) in the low Mach number limit. The analysis is carried out for a general equation of state (EOS). We consider both a single asymptotic length scale and two length scales. We then show that, when coupling these time discretizations with a Discontinuous Galerkin (DG) space discretization with appropriate fluxes, a numerical method effective for a wide range of Mach numbers is obtained. A number of benchmarks for ideal gases and their non-trivial extension to non-ideal EOS validate the performed analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases Orlando, Giuseppe Bonaventura, Luca Numerical Analysis We analyze schemes based on a general Implicit-Explicit (IMEX) time discretization for the compressible Euler equations of gas dynamics, showing that they are asymptotic-preserving (AP) in the low Mach number limit. The analysis is carried out for a general equation of state (EOS). We consider both a single asymptotic length scale and two length scales. We then show that, when coupling these time discretizations with a Discontinuous Galerkin (DG) space discretization with appropriate fluxes, a numerical method effective for a wide range of Mach numbers is obtained. A number of benchmarks for ideal gases and their non-trivial extension to non-ideal EOS validate the performed analysis. |
| title | Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2402.09252 |