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Keywords:

  • Numerical model;
  • Staggered grid;
  • Wave dispersion

Abstract

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