Figure E-1 shows velocity fields and streamline topology for two different depths of submergence of the stationary cylinder. The top row of images corresponds to h/D = 1.57. Frames 9 and 15 correspond to the crest and the trough of the propagating wave respectively. The bottom row of images shows the same phases of the wave motion (the crest and the trough) for h/D = 0.55. Streamline patterns corresponding to the shallow submergence case exhibit additional features (saddle points and foci) while having the same general direction of the flow as in the case of deep cylinder submergence.
Figure E-2 shows images of instantaneous vorticity distribution (left column) and velocity field with superimposed streamlines (right column) corresponding to frame 9 of the stationary cylinder case for three different depths of submergence. Contours of positive and negative vorticity are represented by solid and dashed lines respectively. Streamline patterns exhibit singular points corresponding to the major vorticity concentrations for all three submergence levels.
