{ "id": "1207.6576", "version": "v1", "published": "2012-07-27T15:45:47.000Z", "updated": "2012-07-27T15:45:47.000Z", "title": "From linear stability analysis to three-dimensional organisation in an incompressible open cavity flow", "authors": [ "L. R. Pastur", "Y. Fraigneau", "F. Lusseyran", "J. Basley" ], "comment": "9 pages", "categories": [ "physics.flu-dyn" ], "abstract": "Three-dimensional direct numerical simulations of an incompressible open square cavity flow are conducted. Features of the permanent (non-linear) regime together with the linear stability analysis of a two-dimensional steady base flow are discussed. Spanwise boundary conditions are periodic and control parameters set such that the shear layer is stable against Kelvin-Helmholtz modes. Three branches of destabilising modes are found. The most destabilising branch is associated with steady modes, over a finite range of spanwise wavenumbers. The two other branches provide unsteady modes. Features of each branches are recovered in the permanent regime: wavelength of the most powerful spanwise Fourier mode, swaying phenomenon, angular frequencies, indicating that modes of each branches are selected and interact in the permanent flow.", "revisions": [ { "version": "v1", "updated": "2012-07-27T15:45:47.000Z" } ], "analyses": { "keywords": [ "linear stability analysis", "incompressible open cavity flow", "three-dimensional organisation", "incompressible open square cavity flow", "two-dimensional steady base flow" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1207.6576P" } } }