Nonlinear Flow Receptivity in Shock-Wave Boundary-Layer Interaction
Abstract
We propose to apply a novel framework, the Harmonic Balanced Navier-Stokes (HBNS) equations, to predict nonlinear disturbance evolution in high-speed flows. The proposed framework interpolates in the frequency domain between linear stability analysis and fully resolved simulations by including a finite number of nonlinear triadic interactions. Unlike linear methods, by retaining the minimal number of modes that interact nonlinearly in frequency space with themselves and with the mean flow, the inherent nonlinear flow evolution can be captured in a self-consistent way. This enables calculation of mean-flow deformation and inter-modal energy transfer in a stability framework, which are key-characteristics for the description of laminar-turbulent transitional and early turbulent regimes, as well as for the evaluation of the effect of realistic finite amplitude perturbations from the environment or external actuators. Previous work has demonstrated the framework on a flat-plate incompressible boundary-layer flow during the early stages of laminar-turbulent transition. In this work, we will extend and apply the method to separated flows at high-speed regimes in order to shed light to complex physical mechanisms of shock-wave-boundary-layer interactions (SWBLI). Forcing mechanisms that lead to worst-case transition will be calculated using a nonlinear optimization procedure contrained by the HBNS equations in order to quantify the nonlinear receptivity of the SWBLI during transitional regimes. For turbulent regimes, the proposed framework will enable the evaluation and modelling of the effect of unresolved turbulent dynamics and environmental disturbances on the coarse-grained nonlinearly-coupled instabilities of the SWBLI flow.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 04, 2023
- Source ID
- FA86552117009
Entities
People
- Georgios Rigas
Organizations
- Air Force Office of Scientific Research
- Imperial College London
- United States Air Force