Simulation of swept-wing vortices using nonlinear parabolized stability equations

By Tim S. Haynes, H. Reed. Journal of Fluid Mechanics, 2000

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Advances in global linear instability analysis of nonparallel and three-dimensional flows (2003, methodology): “Reibert et al. [124], Saric et al. [127] and Saric and Reed [128] went on to exploit this phenomenon and offer efficient technological solutions for laminar flow control in incompressible and supersonic swept wing flows, respectively.”
Hypersonic laminar–turbulent transition on circular cones and scramjet forebodies (2004, methodology): “For streamwise-vortex instabilities such as stationary crossflow, the nonlinear parabolized-stability-equation methods may be necessary for a useful first approximation [25].”
Mechanisms and passive control of crossflow-vortex-induced transition in a three-dimensional boundary layer (2002, methodology): “…parabolized stability equations (PSE) are used to calculate nonlinear states of the primary unstable steady crossflow vortices, see e.g. Malik, Li & Chang (1994), Malik et al. (1999), Haynes & Reed (1996, 2000), Janke & Balakumar (2000) and the more general review by Reed, Haynes & Saric (1998).”
Secondary instability of crossflow vortices (2005, background): “Second, there is excellent correlation between the experimental results of Reibert et al. (1996) and the computational results of Haynes & Reed (2000), so there is additional reason to believe that the boundary-layer behaviour is unchanged by the presence of a boundary-layer hot-wire.”