Small-scare turbulence has been an area of especially active research
in the recent past, and several useful research directions have been p
ursued. Here, we selectively review this work. The emphasis is on scal
ing phenomenology and kinematics of small-scale structure. After provi
ding a brief introduction to the classical notions of universality due
to Kolmogorov and others, we survey the existing work on intermittenc
y, refined similarity hypotheses, anomalous scaling exponents, derivat
ive statistics, intermittency models, and the structure and kinematics
of small-scale structure-the latter aspect coming largely from the di
rect numerical simulation of homogeneous turbulence in a periodic box.