We calculate how accretion in a mass transferring binary system takes
place if shock waves are the only means of angular momentum transport
and energy dissipation. Cooling by radiation from the disk is included
. In the absence of a mass transferring stream, with shocks excited by
the tidal force only, the disk quickly settles into a quasi-stationar
y shock pattern. The presence of a stream impacting on the disk has a
profound effect by keeping the flow very nonsteady. From simulations c
overing several hundred binary orbits, we find the following sequence
of events. After an initial transient (which lasts on the order of 20
orbits) most of the mass transferred accumulates in a ring while a low
er level accretion takes place from the ring onto the central object.
For disk temperatures of a few percent of the local virial temperature
, the effective alpha-viscosity, as measured by the accretion rate, du
ring this phase is of the order 10(-3). The size of the disk and the s
hape of the brightness distribution across it agree well with observat
ions of quiescent CV disks. The rotation profile in the ring approache
s a constant angular momentum distribution and then becomes violently
unstable by a process observed earlier by Blaes and Hawley. During the
instability, the accretion rate onto the central object is enhanced.
Storage of mass in a ring alternating with accreting phases due to ins
tability of the torus is expected to take place in general at low disk
viscosity, whatever the process responsible for the viscosity. This p
rovides a new mechanism for soft X-ray transients and the superoutburs
t cycle in cataclysmic variables.