Mathematical formulation of mode-to-mode energy transfers and energy fluxes in compressible turbulence
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918116041162752 |
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| author | Singh, Dhananjay Tiwari, Harshit Sharma, Lekha Verma, Mahendra K. |
| author_facet | Singh, Dhananjay Tiwari, Harshit Sharma, Lekha Verma, Mahendra K. |
| contents | Understanding compressible turbulence is critical for modeling atmospheric, astrophysical, and engineering flows. However, compressible turbulence poses a more significant challenge than incompressible turbulence. We present a novel mathematical framework to compute \textit{mode-to-mode energy transfer rates} and energy fluxes for compressible flows. The formalism captures detailed energy conservation within triads and allows decomposition of transfers into rotational, compressive, and mixed components, providing a clear picture of energy exchange among velocity and internal energy modes. We also establish analogies with incompressible hydrodynamic and magnetohydrodynamic flows, highlighting the framework's universality in studying energy transfers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mathematical formulation of mode-to-mode energy transfers and energy fluxes in compressible turbulence Singh, Dhananjay Tiwari, Harshit Sharma, Lekha Verma, Mahendra K. Fluid Dynamics Solar and Stellar Astrophysics Plasma Physics Understanding compressible turbulence is critical for modeling atmospheric, astrophysical, and engineering flows. However, compressible turbulence poses a more significant challenge than incompressible turbulence. We present a novel mathematical framework to compute \textit{mode-to-mode energy transfer rates} and energy fluxes for compressible flows. The formalism captures detailed energy conservation within triads and allows decomposition of transfers into rotational, compressive, and mixed components, providing a clear picture of energy exchange among velocity and internal energy modes. We also establish analogies with incompressible hydrodynamic and magnetohydrodynamic flows, highlighting the framework's universality in studying energy transfers. |
| title | Mathematical formulation of mode-to-mode energy transfers and energy fluxes in compressible turbulence |
| topic | Fluid Dynamics Solar and Stellar Astrophysics Plasma Physics |
| url | https://arxiv.org/abs/2508.04300 |