High-Frequency Voronoi Noise Reduced by Smoothed Mesh Motion
  We describe a technique for improving the performance of hydrodynamics codes
which employ a moving Voronoi mesh. Currently, such codes are susceptible to
high-frequency noise produced by rapid adjustments in the grid topology on the
smallest scales. The treatment for this grid noise is simple; instead of moving
the mesh-generating marker points with the local fluid velocity, this velocity
field is smoothed on small scales, so that neighboring marker points generally
have similar velocities. We demonstrate significant improvement gained by this
adjustment in several code tests relevant to the physics which moving-mesh
codes are designed to capture.
