Premium
The deep‐atmosphere Euler equations with a mass‐based vertical coordinate
Author(s) -
Wood Nigel,
Staniforth Andrew
Publication year - 2003
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1256/qj.02.153
Subject(s) - hydrostatic equilibrium , atmosphere (unit) , euler equations , coordinate system , terrain , hydrostatic pressure , euler's formula , primitive equations , atmospheric model , geology , meteorology , environmental science , mechanics , mathematics , geometry , physics , mathematical analysis , geography , simultaneous equations , cartography , quantum mechanics , differential equation
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