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Three-dimensional direct numerical simulations of an incompressible opensquare cavity flow are conducted. Features of the permanent (non-linear) regimetogether with the linear stability analysis of a two-dimensional steady baseflow are discussed. Spanwise boundary conditions are periodic and controlparameters set such that the shear layer is stable against Kelvin-Helmholtzmodes. Three branches of destabilising modes are found. The most destabilisingbranch is associated with steady modes, over a finite range of spanwisewavenumbers. The two other branches provide unsteady modes. Features of eachbranches are recovered in the permanent regime: wavelength of the most powerfulspanwise Fourier mode, swaying phenomenon, angular frequencies, indicating thatmodes of each branches are selected and interact in the permanent flow.

From linear stability analysis to three-dimensional organisation in an incompressible open cavity flow