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In the horizontal the discrete points are arranged in a two dimensional grid and hence are referred to as grid points. The grid can be regular or irregular. An example of a regular latitude/longitude grid would be where the grid points are located every 1 degree of longitude , in the east-west direction and every 1 degree of latitude in the north-south direction. Each grid point is associated with an area that either surrounds the grid point or lies between the grid points. This area is referred to as the "grid box".
Vertical
In the vertical the discrete points are arranged in levels, models can use levels, located at discrete points, and/or averages over layers.
Time
Weather and climate models usually represent time at discrete points, with a spacing that is called the time step. The time step is usually typically varies between a few minutes and half an hour, depending on the model.
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