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High-speed stereo PIV-measurements have been performed in a turbulentboundary layer at Re$_{\theta}$ of 9800 in order to elucidate the coherentstructures. Snapshot proper orthogonal decomposition (POD) and dynamic modedecomposition (DMD) are used to visualize the flow structure depending on theturbulent kinetic energy and frequency content. The first six POD and DMD modesshow the largest and the lowest amount of energy and frequency, respectively.Lagrangian coherent structure (LCS) based on the algorithm developed using thevariational theory is also applied to track the flow via attracting andrepelling trajectories. The shapes and the length of the trajectories showvariation with increasing advection time. LCS trajectories are overlayed withthe individual POD and DMD modes. Repelling and attracting lines cover thestructure of these modes. Reconstructed flow fields from individual POD modesare also used to generate new LCS trajectories. The energy and frequencycontent have a direct impact on the length of the trajectories, where thelongest reconstructed trajectories associate with the higher energy and lowerfrequency modes, and vise verse. The multiple intersection points between therepelling and attracting lines marked the low momentum regions.

Turbulent Boundary Layer Features via Lagrangian Coherent Structures, Proper Orthogonal Decomposition and Dynamic Mode Decomposition