Measuring the velocity field from type Ia supernovae in an LSST-like sky
  survey
  With the upcoming sky survey with the Large Synoptic Survey Telescope a great
sample of type Ia supernovae will be observed, allowing for a precise mapping
of the velocity structure of the universe. Since the source of peculiar
velocities is variations in the density field, cosmological parameters related
to the matter distribution can subsequently be extracted from the velocity
power spectrum.
  One way to quantify this is through the angular power spectrum of radial
peculiar velocities on spheres at different redshifts. We investigate how well
this observable can be measured, despite the problems caused by areas with no
information. To obtain a realistic distribution of supernovae, we create mock
supernova catalogs by using a semi-analytical code for galaxy formation on the
merger trees extracted from N-body simulations. We measure the cosmic variance
in the velocity power spectrum by repeating the procedure many times for
differently located observers, and vary different aspects of the analysis, such
as the observer environment, to see how this affects the measurements.
  Our results confirm the findings from earlier studies regarding the precision
with which the angular velocity power spectrum can be determined in the near
future. This level of precision has been found to imply, that the angular
velocity power spectrum from type Ia supernovae is competitive in its potential
to measure parameters such as $\sigma_8$. This makes the peculiar velocity
power spectrum from type Ia supernovae a promising new observable, which
deserves further attention.
