A Skew-Symmetric Energy Stable Almost Dissipation Free Formulation of the Compressible Navier-Stokes Equations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909442633629696 |
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| author | Nordström, Jan |
| author_facet | Nordström, Jan |
| contents | We show that a specific skew-symmetric formulation of the nonlinear terms in the compressible Navier-Stokes equations leads to an energy rate in terms of surface integrals only. No dissipative volume integrals contribute to the energy rate. We also discuss boundary conditions that bounds the surface integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12038 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Skew-Symmetric Energy Stable Almost Dissipation Free Formulation of the Compressible Navier-Stokes Equations Nordström, Jan Analysis of PDEs 35M33 G.1.8 We show that a specific skew-symmetric formulation of the nonlinear terms in the compressible Navier-Stokes equations leads to an energy rate in terms of surface integrals only. No dissipative volume integrals contribute to the energy rate. We also discuss boundary conditions that bounds the surface integrals. |
| title | A Skew-Symmetric Energy Stable Almost Dissipation Free Formulation of the Compressible Navier-Stokes Equations |
| topic | Analysis of PDEs 35M33 G.1.8 |
| url | https://arxiv.org/abs/2401.12038 |