Coarse-grained energy dissipation
= Coarse-grained energy dissipation
{title2=$\epsilon_r$}
<Coarse-grained energy dissipation> is a spatial average of the local rate $2\nu S_{ij}S_{ij}$ over a region of size $r$. Its random value $\epsilon_r$ has mean $\epsilon$ in <homogeneous turbulence>. <Refined similarity> uses this local averaged <viscous dissipation> to scale velocity increments.