Elucidating Three-Dimensional Coherent Structures in a Multi-Stream Jet

TL;DR

This study uses large-eddy simulation and spectral analysis to explore three-dimensional coherent structures in a realistic multi-stream jet, revealing distinct broadband and tonal dynamics linked to specific shear layers and instabilities.

Contribution

It provides new insights into 3D shear layer dynamics and amplification mechanisms in complex jet configurations using advanced spectral and resolvent analysis techniques.

Findings

Low-frequency broadband modes are highly 3D and originate in upper and lower shear layers.

Tonal high-frequency content is linked to 2D instabilities in the primary shear layer.

Corner vortices drive low-frequency axis-switching behavior in the jet.

Abstract

Nominal two-dimensional (2D) shear layers have been studied extensively, and their principal dynamics are well understood. In practical configurations, however, the behavior of such shear layers is affected by proximal surfaces. In this study, we investigate three-dimensional (3D) coherent structures developing downstream of a relatively thick splitter plate in a realistic nozzle featuring sidewalls, an upper boundary formed by a single expansion ramp, and a lower boundary defined by a protruding deck. As a result, in addition to the primary splitter plate shear layer (SPSL) arising from mixing between the core and bypass streams, the flow contains upper (USL) and lower (LSL) shear layers with the ambient. Large-eddy simulation data are analyzed to characterize the unsteady flow dynamics, while the mean flow provides insight into the underlying amplification mechanisms. Spectral proper orthogonal decomposition reveals a clear separation of broadband and tonal dynamics across frequency bands. The broadband low-frequency modes are highly 3D and originate in the USL and LSL. In contrast, tonal high-frequency content is associated with a 2D instability in the SPSL. Both the broadband and tonal signatures also appear in the nonlinear energy transfer mechanisms. Triglobal resolvent analysis further clarifies the amplification mechanisms within the USL and LSL. Low-frequency response modes are excited by forcing localized near the nozzle geometry and are governed by 3D Kelvin-Helmholtz dynamics. The low-frequency streamwise vortices generated at the nozzle corners drive the axis-switching behavior characteristic of rectangular jets. Wavemaker analysis further demonstrates that these corner vortices are part of self-sustaining low-frequency dynamics.