  Centers of galaxies host both a supermassive black hole and a dense stellar
cluster. Such an environment should lead to stellar collisions, possibly at
very high velocities so that the total energy involved is of the same order as
supernovae explosions. We present a simplified numerical analysis of the
destructive stellar collision rate in a cluster similar to that of the Milky
Way. The analysis includes an effective average two-body relaxation Monte-Carlo
scheme and general relativistic effects, as used by Sari and Fragione (2019),
to which we added explicit tracking of local probabilities for stellar
collisions. We also consider stars which are injected into the stellar cluster
after being disrupted from a binary system by the supermassive black hole. Such
stars are captured in the vicinity of the black hole and enhance the expected
collision rate. In our results we examine the rate and energetic distribution
function of high velocity stellar collisions, and compare them
self-consistently with the other destructive processes which occur in the
galactic center, namely tidal disruptions and extreme mass ratio inspirals.
