Time-dependent, axisymmetric hydrodynamic simulations have been used to stu
dy accretion disks consisting of counterrotating components with an interve
ning shear layer(s). Configurations of this type can arise from the accreti
on of newly supplied counterrotating matter onto an existing corotating dis
k. The grid-dependent numerical viscosity of our hydrocode is used to simul
ate the influence of a turbulent viscosity of the disk. First, we consider
the case where the gas well above the disk midplane (z > 0) rotates with an
gular rate + Omega(r) and that well below (z < 0) has the same properties b
ut rotates with rate - Omega(r). We find that there is angular momentum ann
ihilation in a narrow equatorial boundary layer in which matter accretes su
personically with a velocity that approaches the free-fall velocity. This i
s in accord with the recent analytic model of Lovelace & Chou. The average
accretion speed of the disk can be enormously larger than that for a conven
tional alpha-disk rotating in one direction. Under some conditions the inte
rface between the corotating and counterrotating components shows significa
nt warping. Second, we consider the case of a corotating accretion disk for
r < r(t) and a counterrotating disk for r > r(t). In this case we observed
, that matter from the annihilation layer lost its stability and propagated
inward, pushing matter of inner regions of the disk to accrete. Third, we
investigated the case where counterrotating matter inflowing from large rad
ial distances encounters an existing corotating disk. Friction between the
inflowing matter and the existing disk is found to lead to fast boundary la
yer accretion along the disk surfaces and to enhanced accretion in the main
disk.
These models are pertinent to the formation of counterrotating disks in gal
axies and possibly in active galactic nuclei and in X-ray pulsars in binary
systems. For galaxies, the high accretion speed allows counterrotating gas
to be transported into the central regions of a galaxy in a time much less
than the Hubble time.