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The interaction between western boundary layer and the interior flow

Similar to the case discussed in the previous section, the western boundary layers are continuous only if the interior solution satisfies some implicit constraints. The model is forced by wind stress f

where t0 = 0.075 N/m2. The horizontal dimension of the model basin is Lx = 6,000 km, Ly = 3,000 km, the stratification parameters are y1 = y2 = 0.015 m/s2, he = 500 m. The solution with continuous western boundary layers is shown in Figures 4.38 and 4.39.

However, if the external parameters (such as the location where the outcrop line intercepts the eastern boundary, the lower layer thickness along the eastern boundary, the stratification parameter y 1, or the wind stress) are changed, the western boundary layers are interrupted and system behavior can be described in terms of a saddle point in the phase space (Fig. 4.40).

Fig. 4.38 Structure of the interior solution with external parameters he = 500 m, y0 = 0.334925. The heavy curve indicates the outcrop line, and the dashed curve the boundary of the shadow zone (Huang, 1990c).

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