Restricted Nonlinear Roll/Streak Dynamics in Plane Couette Flow (INVITED)

Abstract eng:
The recently developed restricted nonlinear (RNL) modeling framework is used to study a transitioning and turbulent plane Couette flow at moderate Reynolds numbers. The results show that the critical roll and streak structures involved in the self-sustaining process of turbulence are well represented by this model. The transitioning flow shows qualitative similarities in the development and organization of these key flow features when compared to a direct numerical simulation (DNS) of the Navier Stokes (NS) equations. However, there is greater transient energy growth in both the roll and streak structures in the RNL simulations. Further characterization of RNL transitioning flows will determine the merit of studying transition using this type of model, which is an appealing prospect due to its simplified dynamics and the order reduction that leads to significantly reduced computational requirements versus the NS equations.

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