  We calculate the structure and short-term evolution of a gamma ray burst
central engine in the form of a turbulent torus accreting onto a stellar mass
black hole. Our models apply to the short gamma ray burst events, in which a
remnant torus forms after the neutron star-black hole or a double neutron star
merger and is subsequently accreted. We study the 2-dimensional, relativistic
models and concentrate on the effects of black hole and flow parameters as well
as the neutrino cooling. We compare the resulting structure and neutrino
emission to the results of our previous 1-dimensional simulations. We find that
the neutrino cooled torus launches a powerful mass outflow, which contributes
to the total neutrino luminosity and mass loss from the system. The neutrino
luminosity may exceed the Blandford-Znajek luminosity of the polar jets and the
subsequent annihilation of neutrino-antineutrino pairs will provide an
additional source of power to the GRB emission.
