A structured input-output approach to characterizing optimal perturbations in wall-bounded shear flows

• DOI: 10.48550/arxiv.2303.10498
• Publication Date: 2023-01-01
• Authors: Chang Liu; Shuai Yu; Aishwarya Rath; Dennice F. Gayme
• Keywords: Fluid Dynamics (physics.flu-dyn); FOS: Electrical engineering, electronic engineering, information engineering; FOS: Physical sciences; Physics - Fluid Dynamics; Systems and Control (eess.SY); Electrical Engineering and Systems Science - Systems and Control

This work builds upon recent exploiting the notion of structured singular values to capture nonlinear interactions in analysis wall-bounded shear flows. In this context, uncertainty can be interpreted terms flow structures most likely amplified (the optimal perturbations). Here we further analyze these perturbations through a problem reformulation that decomposes into three components associated with streamwise, wall-normal and spanwise velocity correlations. We then demonstrate structural features correlations are consistent results from secondary stability streamwise streaks. These indicate potential input-output for gaining insight both linear behavior used inform sensing control strategies transitional