On the resolution of critical flow regions in inviscid linear and nonlinear instability calculations (Q1287077)

High-resolution nonlinear calculations based on the inviscid initial-boundary value problem are presented for a model shear layer flow, aiming at identification of regions that require attention in the course of high-Reynolds-number viscous calculations. The results bear a remarkable resemblance with those pertinent to viscous flows with cascades of high-shear regions being shed towards the vortex-core centre as time progresses. Additionally, we show that the numerical instability (related to the finite-time singularity of nonlinear equations solved globally) contaminates and eventually destroys the simulations, irrespective of the resolution.