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Fast Tracking of Poiseuille Trajectories in Navier Stokes 2D Channel Flow

Fast Tracking of Poiseuille Trajectories in Navier Stokes 2D Channel Flow

We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also known as the Poisseuille flow, this problem is frequently cited as a paradigm for transition to turbulence. Our approach consists …