Identifying skin-friction generation structures in turbulent channel flows via canonical correlation decomposition

TL;DR

This paper introduces the Canonical Correlation Decomposition (CCD) method to identify flow structures responsible for skin-friction in turbulent channel flows, revealing dominant streaks and their role in drag control.

Contribution

The study develops and applies CCD to isolate causally relevant flow structures, outperforming POD in reconstructing skin friction and providing insights for drag reduction strategies.

Findings

CCD captures over 80% of skin friction with 4 modes

Flow structures are spanwise-localized streaks

Drag reduction involves lifting and modifying streaks

Abstract

Flow structures directly responsible for local skin-friction generation in turbulent channel flows are identified using the newly developed Canonical Correlation Decomposition (CCD) method. The dominant structures take the form of streamwise streaks that are spanwise-localised around the position where the skin-friction is targeted and exhibit significantly shorter streamwise extent than those revealed using POD. The resulting CCD spectrum shows a clear low-rank behaviour; flow reconstruction using only the first 4 CCD modes recovers more than 80\% of the examined skin friction, as opposed to 2\% recovered by the leading 4 POD modes. When the opposition control technique is used to reduce drag, the application of CCD shows that drag reduction is achieved by lifting the original streak structures and generating smaller streaks with opposite phases underneath. These findings demonstrate that CCD isolates the causally relevant flow structures governing skin-friction generation and modification, which is expected to find use in various drag control applications in wall-bounded turbulence.