High-resolution, direct numerical simulations of three-dimensional inc
ompressible Navier-Stokes equations are carried out to study the energ
y spectrum in the dissipation range. An energy spectrum of the form A
(k/k(d))(alpha)exp[-beta k/k(d)] is confirmed. The possible values of
the parameters alpha and beta, as well as their dependence on Reynolds
numbers and length scales, are investigated, showing good agreement w
ith recent theoretical predictions. A 'bottleneck'-type effect. is rep
orted at k/k(d) approximate to 4, exhibiting a possible transition fro
m near-dissipation to far-dissipation.