Transition to dilatation-dominated compressible turbulence
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912868744560640 |
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| author | Alam, Shadab Federrath, Christoph Schumacher, Jörg |
| author_facet | Alam, Shadab Federrath, Christoph Schumacher, Jörg |
| contents | The kinetic energy dissipation rate is of central importance for the small-scale statistics in turbulent flows. Here, we determine the transition to the dilatation-dominated regime of 3d fully compressible, homogeneous, isotropic turbulence by moments of energy dissipation and its components up to order 4 for turbulent Mach numbers $0.1\le M_t\le 10$. Our high-resolution numerical simulations show a crossover from incompressible to $M_t$-independent, Burgers turbulence-like moment scaling with respect to Reynolds number $Re$. This confirms the statistical dominance of shocks for $M_t\gtrsim 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02299 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Transition to dilatation-dominated compressible turbulence Alam, Shadab Federrath, Christoph Schumacher, Jörg Fluid Dynamics The kinetic energy dissipation rate is of central importance for the small-scale statistics in turbulent flows. Here, we determine the transition to the dilatation-dominated regime of 3d fully compressible, homogeneous, isotropic turbulence by moments of energy dissipation and its components up to order 4 for turbulent Mach numbers $0.1\le M_t\le 10$. Our high-resolution numerical simulations show a crossover from incompressible to $M_t$-independent, Burgers turbulence-like moment scaling with respect to Reynolds number $Re$. This confirms the statistical dominance of shocks for $M_t\gtrsim 1$. |
| title | Transition to dilatation-dominated compressible turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2602.02299 |