Statistics of incompressible hydrodynamic turbulence: an alternative approach
| Autor: | Andrés, Nahuel, Banerjee, Supratik |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. Fluids 4, 024603 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevFluids.4.024603 |
| Popis: | Using a recent alternative form of the Kolmogorov-Monin exact relation for fully developed hydrodynamics (HD) turbulence, the incompressible energy cascade rate $\varepsilon$ is computed. Under this current theoretical framework, for three-dimensional (3D) freely decaying homogeneous turbulence, the statistical properties of the fluid velocity (${\bf u}$), vorticity ($\boldsymbol \omega= \boldsymbol\nabla \times {\bf u}$) and Lamb vector ($\boldsymbol{\cal L}= \boldsymbol \omega \times {\bf u})$ are numerically studied. For different spatial resolutions, the numerical results show that $\varepsilon$ can be obtained directly as the simple products of two-point increments of ${\bf u}$ and $\boldsymbol{\cal L}$, without the assumption of isotropy. Finally, the results for the largest spatial resolutions show a clear agreement with the cascade rates computed from the classical 4/3 law for isotropic homogeneous HD turbulence. Comment: 6 Figures |
| Databáze: | arXiv |
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