Changes between Version 2 and Version 3 of doc/tec/discret
- Timestamp:
- Apr 14, 2016 12:25:34 PM (9 years ago)
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doc/tec/discret
v2 v3 7 7 whereas velocity components are shifted by half a~grid width in their respective direction so that they are defined at the edges of the grid volumes (see Fig.~\ref{fig:arakawa}). 8 8 9 [[Image(02.pdf,600px,border=1)]] 10 11 Figure 1:The Arakawa staggered C-grid. The indices ''i'', ''j'', ''k'' refer to grid points in ''x'', ''y'' and ''z'' direction, respectively. Scalar quantities ''φ'' are defined at the center of the grid volume, whereas velocities are defined at the edges of the grid volumes. 9 12 10 13 It is thus possible to calculate the derivatives of the velocity components at the center of the volumes (same location as the scalars). By the same token, derivatives of scalar quantities can be calculated at the edges of the volumes. In this way it is possible to calculate derivatives over only one grid length and the effective spatial model resolution can be increased by a factor of two in comparison to non-staggered grids.
