  We investigate the hydrodynamic recovery of Lattice Boltzmann Method (LBM) by
analyzing exact balance relations for energy and enstrophy derived from
averaging the equations of motion on sub-volumes of different sizes. In the
context of 2D isotropic homogeneous turbulence, we first validate this approach
on decaying turbulence by comparing the hydrodynamic recovery of an ensemble of
LBM simulations against the one of an ensemble of Pseudo-Spectral (PS)
simulations. We then conduct a benchmark of LBM simulations of forced
turbulence with increasing Reynolds number by varying the input relaxation
times of LBM. This approach can be extended to the study of implicit
subgrid-scale (SGS) models, thus offering a promising route to quantify the
implicit SGS models implied by existing stabilization techniques within the LBM
framework.
