Statistics of incompressible hydrodynamic turbulence: An alternative approach - Archive ouverte HAL
Article Dans Une Revue Physical Review Fluids Année : 2019

Statistics of incompressible hydrodynamic turbulence: An alternative approach

Résumé

Using a recent alternative form of the Kolmogorov-Monin exact relationfor fully developed hydrodynamics (HD) turbulence, the incompressibleenergy cascade rate ? is computed. Under this current theoreticalframework, for three-dimensional (3D) freely decaying homogeneousturbulence, the statistical properties of the fluid velocity (u ),vorticity (? =? ×u ), and Lamb vector (L =? ×u ) are numericallystudied. For different spatial resolutions, the numerical results showthat ? can be obtained directly as the simple products of two-pointincrements of u and L , without the assumption of isotropy. Finally, theresults for the largest spatial resolutions show a clear agreement withthe cascade rates computed from the classical four-thirds law forisotropic homogeneous HD turbulence.

Dates et versions

hal-03786527 , version 1 (23-09-2022)

Identifiants

Citer

Nahuel Andrés, Supratik Banerjee. Statistics of incompressible hydrodynamic turbulence: An alternative approach. Physical Review Fluids, 2019, 4, pp.024603. ⟨10.1103/PhysRevFluids.4.024603⟩. ⟨hal-03786527⟩
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