Capabilities for turbulence calculations of the Lagrangian averaged
Navier-Stokes (LANS-
) equations are investigated in decaying
and statistically stationary three-dimensional homogeneous and isotropic
turbulence. Results of the LANS-
computations are analyzed by
comparison with direct numerical simulation (DNS) data and large eddy
simulations. Two different decaying turbulence cases at moderate and
high Reynolds numbers are studied. In statistically stationary turbulence
two different forcing techniques are implemented to model the energetics
of the energy-containing scales. The resolved flows are examined by
comparison of the energy spectra of the LANS-
awith the DNS
computations. The energy transfer and the capability of the
LANS-
equations in representing the backscatter of energy is
analyzed by comparison with the DNS data. Furthermore, the correlation
between the vorticity and the eigenvectors of the rate of the resolved
strain tensor is studied. We find that the LANS-
equations capture
the gross features of the flow, while the wave activity below the scale
is filtered by a nonlinear redistribution of energy.