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Viscosity and force corrections induced by the elimination of scales of motion in randomly forced turbulence
Phys. Rev. E 57, 6191 – Published 1 May, 1998
DOI: https://doi.org/10.1103/PhysRevE.57.6191
Abstract
Systematic scale elimination in the description of randomly forced turbulence leads to a hierarchy of new terms in the dynamical equations. We consider two of these terms: the viscosity and random forcing corrections. We show how these corrections can be estimated using direct numerical simulation data of homogeneous isotropic turbulence. In the case of hyperviscous dissipation, the energy spectrum shows, between the inertial range and the dissipative range, an intermediate range characterized by a reduction of the eddy viscosity and a correction to the forcing representing a backward energy flux.
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