Optimal initial perturbations in streamwise corner-flow
2013 (English)Report (Other academic)
Localised optimal initial perturbations are studied to gain an understanding of the global stability properties of streamwise corner-flow. A self-similar and a modified base-flow are considered. The latter mimics a characteristic deviation from the self-similar solution, commonly observed in experiment. Poweriterations in terms of subsequent direct and adjoint linearised Navier-Stokes solution sweeps are employed to converge optimal solutions for two optimisation times. The optimal response manifests as a wave packet that initially gains energy through the Orr mechanism and continues growing exponentially thereafter. The study at hand represents the first global stability analysis of streamwise corner-flow and confirms key observations made in theoretical and/or experimental work on the subject. Namely, the presence of an inviscid instability mechanism in the near-corner region and a destabilising effect of the characteristic mean-flow deformation found in experiment.
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. , 13 p.
Corner flow, optimal initial condition, power iteration, adjoint
Fluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:kth:diva-123194OAI: oai:DiVA.org:kth-123194DiVA: diva2:625320
QC 201306042013-06-042013-06-042015-11-25Bibliographically approved