Changes between Version 3 and Version 4 of doc/tec/discret
- Timestamp:
- Apr 14, 2016 12:27:21 PM (9 years ago)
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doc/tec/discret
v3 v4 5 5 The model domain in PALM is discretized in space using finite differences and equidistant horizontal grid spacings (''Δx'', 6 6 ''Δy''). The grid can be stretched in the vertical direction well above the ABL to save computational time in the free atmosphere. The Arakawa staggered C-grid ([#harlow Harlow and Welch, 1965]; [#arakawa Arakawa and Lamb, 1977]) is used, where scalar quantities are defined at the center of each grid volume, 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}).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. 1). 8 8 9 [[Image(02.p df,600px,border=1)]]9 [[Image(02.png,600px,border=1)]] 10 10 11 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.