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Cross-frontal Processes

Characteristics of the cross-frontal water exchange over Georges Bank are investigated through a sequence of numerical model experiments featuring realistic 3-D bathymetry, bi-monthly averaged climatological stratification, tidal forcing, and mean and observed wind forcing. The model used in this study is the POM/ECOM-si version of the Blumberg and Mellor (1987) primitive equation model with Mellor-Yamada (1982) level 2.5 turbulence closure. The model domain includes Georges Bank and the Gulf of Maine, and is forced at the open ocean boundary by the semidurnal M2 tide. Fluid particles were tracked in the 3-D, time-dependent Eulerian flow field to examine the Lagrangian flow field, and passive tracer experiments were conducted to investigate the relative roles of advection and turbulent diffusion on cross-frontal exchange.

Two distinct paths for the on-bank water movement were detected on Georges Bank: one is over the northwestern flank of the bank where the bottom topography changes sharply in both along- and cross-bank directions and the other is near the bottom around the bank where the tidal mixing front is located. Over the northern flank, the cross-bank component of the Lagrangian residual current is generally opposite in direction to that of the Eulerian residual current, resulting in an on-bank, cross-frontal water transport near the bottom. Over the southern flank, the near-bottom water tends to converge toward the tidal mixing and shelf-break fronts, so that the near-bottom flow over the shelf between these two fronts is divergent. The response to wind forcing varied with ambient stratification and water depth. In winter, strong winds can drive a significant off-bank water transport, tending to "wash out" the bank. In summer, winds are generally too weak to alter the general pattern of tidal-driven particle motion within the mixed region on the crest of the bank and the surrounding tidal mixing front. Some wind-driven off-bank transport occurs near the surface in the stratified region on the outer southern flank, but this has little influence on water movement near the bottom. Passive tracer experiments reveal that the net cross-frontal water flux near the bottom is caused primarily by advection and horizontal diffusion. Tidal-induced vertical diffusion tends to make the tracer mix rapidly upward, thus reducing the percent of the cross-frontal flux due to advection.

It should be noted here that all results are obtained based on numerical experiments using structured grid POM/ECOM-si. This model was the best choice at the time this project was carried out. It met our needs because our focus are on mechanism studies rather than simulation. Recent comparison between unstructured and structured grid models strongly supports a need of an unstructured grid model for the forecast system of the Gulf of Maine because the failure of resolving steep bottom topography and complex coastal geometry in structured grid models.

Selected particle-tracking animations

Summer experiment
Winter experiment

Particle trajectories released near the surface and bottom under the summer condition with the only tidal forcing

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Particle trajectories released near the surface and bottom under the winter condition with the only tidal forcing

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Particle trajectories released near the surface and bottom under the summer condition with tidal plus mean wind forcings.

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article trajectories released near the surface and bottom under the winter condition with tidal plus mean wind forcings.

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Particle trajectories released near the surface and bottom under the summer condition with tidal plus variable wind forcings.

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article trajectories released near the surface and bottom under the winter condition with tidal plus variable wind forcings.

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Examples of the cross-bank movement of particles on southern and northern flanks. Particles were released near the bottom. On the nothern flank, the tidal pumping mechanism advects the particle move upward, even though the tidally averaged vertical velocity field was downward. On the southern flan, the particles tend to converge toward tidal mixing and shelfbreak front near the bottom and then cross fronts in the water column above the bottom. The summertime shelfbreak front is dominanted by salinity.

Click image or labels below images to view animations.

 

Northern flank

A 3-D view of particles released near the surface and bottom on the southern flank under the summer condition with tide only, tide plus mean wind, and tide plus variable winds. Animation shows that the particles moved along the local bathymetry with significant cross-bank movement near the bottom.

Click here or image on the right to view the animation.

Analytical Solution

To prove our finding for the upward onbank Lagrangian particle movement, we derived an analytical solution to track particles under given tidal and residual flow field. The results show that over steep bottom topography, strong Stoke drift could cause the particle move upward in opposite with the residual flow.

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