Spectrum and Structure of Evolving Vortex Sheet

Shear layer structure and dynamics play an important role in understanding turbulent flows. The evolution of the Vortex sheet, considered as the inviscid/infinite Reynolds number approximation to the shear layer, has been studied in the literature for its many facets like Kelvin-Helmholtz instability, finite-time singularity and spiral structures formation. In the present work, a two-dimensional vortex sheet evolution is simulated using Krasny's vortex blob method in high precision. The nonlinear stage of evolution and the resulting spectrum are validated against the recent results of Abid {\&} Verga (2011). The obtained energy spectrum, showing similarities to two-dimensional turbulence spectrum, is investigated in detail. An attempt at simulating the evolution of three-dimensional disturbances on the vortex sheet and the effect of imposed strain is also presented.