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The vortex formation with the free surface variation in the shear layer of open channel flows is investigated by means of the plane-2D-shallow water equations. The invisid instability analysis of the tanhtype velocity profile is firstly shown in order to make sure the applicability of the equations for the vortex formation in a free boundary layer. Then, the numerical simulation is made for the plane 2D-flow domain of open-channels with an abrupt expansion. Some numerical results conserning the vortex formation (velocity vectors, contour lines of depth etc.) are shown indicating the relation between the temporal velocity variations and the vortex shedding processes.

Vortex Formation with Free Surface Variation in Shear Layer of Open Channel Flows near Abrupt Expansion