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Modelling of separating flow and its stability

This article describes some basic aspects, and some recent developments and issues, in the asymptotic modelling of separating flows and their stability. The main applications in mind are to aero- and turbo-machinery-dynamics, physiological flows and geophysical fluid dynamics. Aerodynamic and related motions are considered first, with specific reference to attached flow and breakdown, breakaway separation, large-scale separated flow and its stability, smaller-scale separated flow and its stability, three-dimensional flows, marginal separation including dynamic stall and turbulent reattachment, turbulent separation, and interactive-boundary-layer and related numerical methods. Second, internal flows are addressed, in particular for nonsymmetric channel, symmetric channel and pipe, and three-dimensional pipe motions, and their stability with separation occurring. The third area discussed is on liquid layers, separation and hydraulic jumps, covering free interaction, comparison with experiments, and stability. Finally, the related area of transition modelling is considered briefly. Comparisons with experiments and computational results are emphasized throughout Application a l'aerodynamique, aux ecoulements internes et a leur stabilite en presence de decollement, aux couches liquides, au decollement et aux ressauts hydrauliques