Meteorology and Atmospheric Physics

, Volume 40, Issue 4, pp 189–193 | Cite as

A terrain-following coordinate system—Derivation of diagnostic relationships

  • R. A. Pielke
  • J. Cram


Generalized hydrostatic and geostrophic equations can be derived from the equations in the terrain-following framework. The generalized hydrostatic equation permits some non-hydrostatic motions (as obtained from a Cartesian framework) to remain when a non-zero slope exists. Correspondingly, the generalized geostrophic wind permits a horizontal divergent component (in addition to divergence caused by the change of Coriolis parameter with latitude) to occur when the slope angle is not zero.


Climate Change Waste Water Coordinate System Water Management Water Pollution 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • R. A. Pielke
    • 1
  • J. Cram
    • 1
  1. 1.Department of Atmospheric ScienceColorado State UniversityFort CollinsUSA

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