Extracting Reynolds-stress and dissipation budgets from finite-volume simulations of turbulence

Rigorous methods are presented for the derivation of all terms in the equations for the Reynolds stresses and dissipation components, from finite-volume large-eddy simulations of turbulence performed on staggered meshes. The methods are designed to produce exact balance to machine accuracy in the computed budgets, and yield a single term representing the statistical convergence error for each computed budget. Aspects of these budgets are presented for boundary-layer simulations, demonstrating the utility of the method.