For a given depth profile (Figure 2a) the cross-shelf structures of alongshore velocities v_n, for the 1st, 2nd, and 3rd mode shelf waves are shown in Figure 2b. Figure 2c shows the coefficients (b_n+d_n) for the 1st, 2nd, and 3rd modes as a function of the location of the ice edge. It is found that the excitation ratio of each mode strongly depends on the ice edge location. For instance, the 1st mode is the prevailing mode in the case of no fast ice (m= 0km), while it is much less excited with the ice edge advancing toward the shelf break.

Figure 3 shows an instantaneous field of the alongshore velocity calculated from (2.16) or the case that the ice edge is located at the shelf break (m = 55km) with the period of 8 days. We found that the maximum of the velocity amplitude occurs at the shelf break with strong shear, which is a result of infinite vorticity input at the ice edge.

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