Flooding as a sub-critical instability in open channels

During floods caused by a continuous increase in river flow, the water level often rises suddenly, while the recession takes much longer. This behavior is consistent with the subcritical instability highlighted in this article. This instability emerges for uniform, quasi-stationary flows at high Reynolds numbers in a channel. With increasing flow, a sudden jump in water level occurs when a well-defined flow rate is reached. If the flow rate subsequently decreases, the water level drops again suddenly, but at a flow rate well below the previous one.