  In the present paper, we examine the viscous flow evolution in a square
cavity. Coupled with the stream function, the initial-boundary value problem of
the vorticity is numerically solved by a method of iteration. The only boundary
condition is the wall velocity which in turn defines the Dirichlet value for
the stream function. We assert that the corner singularity in the cavity flow
is in fact a theoretical artefact. By adopting suitably regulated lid velocity,
excellent comparison with experiments is found because of the converged
palinstrophy field. Our calculations demonstrate that asymmetrical shears
initiate the formation of the vortices with counter-rotating strained cores,
while the consecutive re-birth and the subsequent disintegration of the
developed eddies proliferate the shears into smaller scales. This production
process is particularly intense in close proximity to the solid surfaces.
