  We demonstrate an all-sky search for persistent, narrowband gravitational
waves using mock data. The search employs radiometry to sidereal-folded data in
order to uncover persistent sources of gravitational waves with minimal
assumptions about the signal model. The method complements continuous-wave
searches, which are finely tuned to search for gravitational waves from
rotating neutron stars while providing a means of detecting more exotic sources
that might be missed by dedicated continuous-wave techniques. We apply the
algorithm to simulated Gaussian noise at the level of LIGO design sensitivity.
We project the strain amplitude sensitivity for the algorithm for a LIGO
network in the first observing run to be $h_0 \approx 1.2 \times 10^{-24}$
($1\%$ false alarm probability, $10\%$ false dismissal probability). We include
treatment of instrumental lines and detector artifacts using time-shifted LIGO
data from the first observing run.
