https://polytechnique.hal.science/hal-01022801Mack, C.J.C.J.MackDepartment of Numerical Mathematics, Universität der Bundeswehr (UniBw), D-85577 Munich, Germany - affiliation inconnueSchmid, PeterPeterSchmidLadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - CNRS - Centre National de la Recherche ScientifiqueSesterhenn, J.L.J.L.SesterhennDepartment of Numerical Mathematics, Universität der Bundeswehr (UniBw), D-85577 Munich, Germany - affiliation inconnueGlobal stability of swept flow around a parabolic body: Connecting attachment-line and crossflow modesHAL CCSD2008[PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph][SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]Roura, Denis2014-07-17 13:41:292023-03-24 14:52:592014-07-17 13:59:40enJournal articleshttps://polytechnique.hal.science/hal-01022801/document10.1017/s0022112008002851application/pdf1The global linear stability of a three-dimensional compressible flow around a yawed parabolic body of infinite span is investigated using an iterative eigenvalue method in conjunction with direct numerical simulations. The computed global spectrum shows an unstable branch consisting of three-dimensional boundary layer modes whose amplitude distributions exhibit typical characteristics of both attachment-line and crossflow modes. In particular, global eigenfunctions with smaller phase velocities display a more pronounced structure near the stagnation line, reminiscent of attachment-line modes while still featuring strong crossflow vortices further downstream. This analysis establishes a link between the two prevailing instability mechanisms on a swept parabolic body which, so far, have only been studied separately and locally. A parameter study shows maximum modal growth for a spanwise wavenumber of ß = 0.213, suggesting a preferred disturbance length scale in the sweep direction. © 2008 Cambridge University Press.