Hunt for unstable coherent structures begins |
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A striking feature all simulations share are recognizable recurrent structures (rolls, streaks, ....) That is the observation that motivates all that follows: numerical searches for steady state or equilibrium solutions, their state space visualization.
A symmetry detour: Plane Couette Navier-Stokes equations are invariant under several obvious symmetries (translations, flips). This observation is very helpful for the analysis of the flow. It is also a bit technical... so skip this unless interested |