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Keywords:

  • Energy conservation;
  • Non-hydrostatic;
  • Rigid lid

Abstract

The terrain-following hydrostatic pressure-coordinate system for the shallow-atmosphere Euler equations is generalized for deep atmospheres using a mass-based vertical coordinate. A consequent benefit is that an existing (shallow atmosphere) hydrostatic primitive-equations model, which uses a pressure-based terrain-following vertical coordinate, could be modified for non-hydrostatic deep-atmosphere applications, without the need to change the scientific and computing infrastructure substantially in which it is embedded. © Crown copyright, 2003. Royal Meteorological Society