Global Instabilities of Incompressible Plane-Channel Flows

The book delves into the numerical study of three-dimensional linear stability in two-dimensional incompressible flows within plane channels featuring sudden expansions and constrictions. It examines the impact of corner singularities on flow behavior, particularly at low Reynolds numbers where flow separation occurs. By systematically varying geometries such as backward-facing and forward-facing steps, the research explores stability boundaries as continuous functions of geometry parameters. An energy-transfer analysis uncovers various instability mechanisms affecting the basic flow, providing insights into the underlying physical phenomena.