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

Viscous flow regimes in a square. Part 1. Lid-driven cavity