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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.21065 |
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| _version_ | 1866916811511955456 |
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| author | Svärd, Magnus Gjesteland, Anita |
| author_facet | Svärd, Magnus Gjesteland, Anita |
| contents | We propose inflow and outflow boundary conditions for the compressible Navier-Stokes equations and prove that they allow a priori estimates of the entropy, mass and total energy. Furthermore, we demonstrate how to approximate these boundary conditions in conjunction with an entropy-stable finite-volume scheme. The method is also applicable to other types of entropy-stable schemes. Finally, we carry out some numerical computations with the finite-volume scheme and demonstrate their robustness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropy-stable in- and outflow boundary conditions for the compressible Navier-Stokes equations Svärd, Magnus Gjesteland, Anita Numerical Analysis We propose inflow and outflow boundary conditions for the compressible Navier-Stokes equations and prove that they allow a priori estimates of the entropy, mass and total energy. Furthermore, we demonstrate how to approximate these boundary conditions in conjunction with an entropy-stable finite-volume scheme. The method is also applicable to other types of entropy-stable schemes. Finally, we carry out some numerical computations with the finite-volume scheme and demonstrate their robustness. |
| title | Entropy-stable in- and outflow boundary conditions for the compressible Navier-Stokes equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2506.21065 |