... depth^16.1

Actually, two extra boundary cells are added to the grid domain in the latitude and longitude dimensions, but not in the vertical (historical reasons). Calculations range from i=2 to imt-1 in longitude, jrow=2 to jmt-1 in latitude, and k=1 to km in depth where domain size is (imt x jmt x km) cells.

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...^16.2

Centered refers to the centering of the t grid point within the T grid cell.

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... advection^16.3

Of course, this is not to be compared to the significant gains due to higher order advective schemes.

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... cells^16.4

Although the argument is given for the vertical direction, it applies in the horizontal as well.

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... cells^18.1

All T-cells in the vertical at this location are treated as land cells.

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... T-cells^18.2

The cells below level 6 are treated as land cells.

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... coarse^18.3

Their scale is about 10 degrees in latitude and longitude.

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... incorrect^18.4

This is not a restriction for the rigid lid surface pressure option, the implicit free surface option, or the explicit free surface option because they do not perform island integrals.

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... 2D^18.5

Although the application of a 1D filter in the meridional direction will remove the topographic slopes, the 1D smoothing can introduce bizzare effects due to shallow water near coastlines. The 2D filter works best.

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... changed^18.6

The coastline is made invisible to the filter.

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... decreased^18.7

Allowing the filter to incrase the depths requires realistic initial density profiles to be known below the realistic bottom. Therefore, the filter is restriced so that it can only shallow the bottom.

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