An a priori study of subgrid-scale (SGS) models for the unclosed terms in t
he energy equation is carried out using the flow field obtained from the di
rect simulation of homogeneous isotropic turbulence. Scale-similar models i
nvolve multiple filtering operations to identify the smallest resolved scal
es that have been shown to be the most active in the interaction with the u
nresolved SGSs. In the present study these models are found to give more ac
curate prediction of the SGS stresses and heat fluxes than eddy-viscosity a
nd eddy-diffusivity models, as well as improved predictions of the SGS turb
ulent diffusion, SGS viscous dissipation, and SGS viscous diffusion.