Statistics of incompressible hydrodynamic turbulence: An alternative approach

BANERJEE, SUPRATIK; ANDRÉS, NAHUEL

Physical Review Fluids

APS

Año: 2019 vol. 4

Using a recent alternative form of the Kolmogorov-Monin exact relation for fully developed hydrodynamics (HD) turbulence, the incompressible energy cascade rate ɛ is computed. Under this current theoretical framework, for three-dimensional (3D) freely decaying homogeneous turbulence, the statistical properties of the fluid velocity u and Lamb vector L are numerically studied. For different spatial resolutions, the numerical results show that ɛ can be obtained directly as the simple products of two-point increments of u and 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 four-thirds law for isotropic homogeneous HD turbulence.