On the co-existence of transonic buffet and separation-bubble modes for the OALT25 laminar-flow wing section

TL;DR

This study uses high-fidelity simulations to reveal the simultaneous presence of multiple unsteady flow modes, including transonic buffet and separation-bubble oscillations, over a laminar-flow wing section, enhancing understanding of flow physics.

Contribution

It demonstrates the coexistence of multiple flow unsteadiness modes and analyzes their dependence on Reynolds and Mach numbers using spectral proper orthogonal decomposition.

Findings

Identified low-frequency buffet, intermediate-frequency separation bubble, and high-frequency vortex shedding modes.

Reynolds number significantly affects the separation bubble mode, unlike the buffet mode.

Spectral analysis reveals distinct spatial structures for each mode.

Abstract

Transonic buffet is an unsteady flow phenomenon that limits the safe flight envelope of modern aircraft. Scale-resolving simulations with span-periodic boundary conditions are capable of providing new insights into its flow physics. The present contribution shows the co-existence of multiple modes of flow unsteadiness over an unswept laminar-flow wing section, appearing in the following order of increasing frequency: (a) a low-frequency transonic buffet mode, (b) an intermediate-frequency separation bubble mode, and (c) high-frequency wake modes associated with vortex shedding. Simulations are run over a range of Reynolds and Mach numbers to connect the lower frequency modes from moderate to high Reynolds numbers and from pre-buffet to established buffet conditions. The intermediate frequency mode is found to be more sensitive to Reynolds-number effects compared to those of Mach number, which is the opposite trend to that observed for transonic buffet. Spectral proper orthogonal decomposition is used to extract the spatial structure of the modes. The buffet mode involves coherent oscillations of the suction-side shock structure, consistent with previous studies including global mode analysis. The laminar separation-bubble mode at intermediate frequency is fundamentally different, with a phase relationship between separation and reattachment that does not correspond to a simple `breathing' mode and is not at the same Strouhal number observed for shock-induced separation bubbles. Instead, a Strouhal number based on separation bubble length and reverse flow magnitude is found to be independent of Reynolds number within the range of cases studied.