We simulate late-stage coarsening of a 3D symmetric binary fluid using a la
ttice Boltzmann method. With reduced lengths and times, l and t, respective
ly (with scales set by viscosity, density, and surface tension), our data s
ets cover 1 less than or similar to l less than or similar to 10(5) and 10
less than or similar to t less than or similar to 10(8). We achieve Reynold
s numbers approaching 350. At Re greater than or similar to 100 we find cle
ar evidence of Furukawa's inertial scaling (l similar to t(2/3)), although
the crossover from the viscous regime (l similar to t) is very broad. Thoug
h it cannot be ruled out, we find no indication that Re is self-limiting (l
similar to t(1/2)) as proposed by M. Grant and K.R. Elder [Phys. Rev. Lett
. S2, 14 (1999)].