Global receptivity analysis: physically realizable input-output analysis
Abstract
In the context of transition analysis, linear input–output analysis determines the worst-case disturbances to a laminar base flow based on a generic right-hand-side volumetric/boundary forcing term. The worst-case forcing is not physically realizable, and, to our knowledge, a generic framework for posing physically realizable worst-case disturbance problems is lacking. In natural receptivity analysis, disturbances are forced by matching (typically local) solutions within the boundary layer to outer solutions consisting of free-stream vortical, entropic and acoustic disturbances. We pose a scattering formalism to restrict the input forcing to a set of realizable disturbances associated with plane-wave solutions of the outer problem. The formulation is validated by comparing with direct numerical simulations of a Mach 4.5 flat-plate boundary layer. We show that the method provides insight into transition mechanisms by identifying those linear combinations of plane-wave disturbances that maximize energy amplification over a range of frequencies. We also discuss how the framework can be extended to accommodate scattering from shocks and in shock layers for supersonic flow.
Additional Information
© The Author(s), 2023. Published by Cambridge University Press. This work was supported by The Boeing Company (CT-BA-GTA-1), ONR (N00014-21-1-2158) and NSERC (PGSD3-532522-2019). The authors report no conflict of interest.Additional details
- Eprint ID
- 119532
- Resolver ID
- CaltechAUTHORS:20230227-87934600.8
- Boeing Company Strategic Research and Development Relationship
- CT-BA-GTA-1
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- PGSD3-532522-2019
- Office of Naval Research (ONR)
- N00014-21-1-2158
- Created
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2023-04-28Created from EPrint's datestamp field
- Updated
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2023-04-28Created from EPrint's last_modified field