Janke, Erik; Balakumar, Ponnampalam On the secondary instability of three-dimensional boundary layers. (English) Zbl 0982.76029 Theor. Comput. Fluid Dyn. 14, No. 3, 167-194 (2000). From the summary: One of the possible transition scenarios in three-dimensional boundary layers, the saturation of stationary crossflow vortices and their secondary instability to high-frequency disturbances, is studied using the parabolized stability equations (PSE) and Floquet theory. Starting from nonlinear PSE solutions, we investigate the region where a purely stationary crossflow disturbance saturates for its secondary instability characteristics, utilizing global and local eigenvalue solvers that are based on the implicitly restarted Arnoldi method and on the Newton-Raphson technique, respectively. Results are presented for swept Hiemenz flow and the DLR swept flat plate experiment. Cited in 4 Documents MSC: 76E05 Parallel shear flows in hydrodynamic stability 76D10 Boundary-layer theory, separation and reattachment, higher-order effects Keywords:multiple roots; eigenvalue spectrum; three-dimensional boundary layer; saturation of stationary crossflow vortices; secondary instability; high-frequency disturbance; parabolized stability equations; Floquet theory; eigenvalue solver; implicitly restarted Arnoldi method; Newton-Raphson technique; swept Hiemenz flow; DLR swept flat plate experiment Software:ARPACK PDFBibTeX XMLCite \textit{E. Janke} and \textit{P. Balakumar}, Theor. Comput. Fluid Dyn. 14, No. 3, 167--194 (2000; Zbl 0982.76029) Full Text: DOI