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Observations and Modelling of Fronts and Frontogenesis

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h/W = )12/v10 9.5 [8.7 hr]. (45)<br />

A similar estimate for the time t2 <strong>of</strong> surfacing <strong>of</strong> the lower<br />

interface is,<br />

t2 t1 + h20/(x12W/.X23) t1 + h20).23/v10h10<br />

- 19.5 [17.9 hr}.<br />

The main sequence <strong>of</strong> events during the numerical<br />

integration <strong>of</strong> Case 1 is depicted in Figure 111.2, which<br />

shows the evolution <strong>of</strong> 13l (normalized by 32; Fig.<br />

III.2a,d,g,j), the layer depths h1 <strong>and</strong> h2 (Fig.<br />

III.2b,e,h,k), <strong>and</strong> the normal-to-shore transport<br />

i=l,2,3 (Fig. III.2c,f,i,l). The dashed lines in Figs.<br />

(46)<br />

III.2a <strong>and</strong> III.2e indicate the initial conditions 31 1100,<br />

h1 0.5, h 1.0. By time t 8.1 [7.3 hr], somewhat<br />

earlier than the estimate (45), the base <strong>of</strong> the mixed layer<br />

has nearly surfaced at the coastal boundary (Fig. III.2b).<br />

Enhanced entrainment driven by the shallowing has decreased<br />

3l near the boundary. For y > 60 [6 km], the transport<br />

(Fig. III.2c) is nearly independent <strong>of</strong> y <strong>and</strong> accurately given<br />

by the modified Ekman balance (35). For y < 5 [0.5 km],<br />

layer 2 supplies more onshore transport than layer 3, despite<br />

being roughly one-eighth as thick. The small density<br />

difference between layers 2 <strong>and</strong> 3 inhibits the near-shore<br />

intensification <strong>of</strong> the surface divergence from penetrating<br />

into the deep interior flow.

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