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Vertical discretizations giving optimal representation of normal modes: Sensitivity to the form of the pressure‐gradient term
Author(s) -
Thuburn J.
Publication year - 2006
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.06.10
Subject(s) - dispersion (optics) , term (time) , sensitivity (control systems) , compressibility , euler equations , mathematics , isentropic process , mathematical analysis , representation (politics) , euler's formula , physics , mechanics , optics , quantum mechanics , electronic engineering , politics , political science , law , engineering
The normal‐mode dispersion properties and structures of some vertical discretizations of the compressible Euler equations are re‐examined. It is shown that the dispersion properties can be sensitive to the form in which the pressure‐gradient term is expressed. For a height coordinate and for an isentropic vertical coordinate, discretizations are identified that have optimal dispersion properties and, at the same time, lend themselves to mass conservation by predicting the relevant density variable. Copyright © 2006 Royal Meteorological Society