A Laplacian smoothing of the mesh velocities with variable diffusivity
based on the distance from moving bodies is introduced. This variable
diffusivity enforces a more uniform mesh velocity in the region close
to the moving bodies. Given that in most applications these are regio
ns where small elements are located, the new procedure decreases eleme
nt distortion considerably, reducing the need for local or global reme
shing, and in some cases avoiding it altogether.