• Bubnová, R., , G. Hello, , P. Bénard, , and J. F. Geleyn, 1995: Integration of the fully elastic equations cast in the hydrostatic pressure terrain-following coordinate in the framework of the ARPEGE/Aladin NWP system. Mon. Wea. Rev, 123 , 515535.

    • Search Google Scholar
    • Export Citation
  • Laprise, R., 1992: The Euler equations of motion with hydrostatic pressure as an independent variable. Mon. Wea. Rev, 120 , 197207.

  • Ritchie, H., 1991: Application of the semi-Lagrangian method to a multilevel spectral primitive-equations model. Quart. J. Roy. Meteor. Soc, 117 , 91106.

    • Search Google Scholar
    • Export Citation
  • ——, and Tanguay, M., 1996: A comparison of spatially averaged Eulerian and semi-Lagrangian treatments of mountains. Mon. Wea. Rev, 124 , 167181.

    • Search Google Scholar
    • Export Citation
  • Rivest, C., , A. Staniforth, , and A. Robert, 1994: Spurious resonant response of semi-Lagrangian discretizations to orographic forcing: Diagnosis and solution. Mon. Wea. Rev, 122 , 366376.

    • Search Google Scholar
    • Export Citation
  • Simmons, A. J., , and R. Strüfing, 1983: Numerical forecasts of stratospheric warming events using a model with a hybrid vertical coordinate. Quart. J. Roy. Meteor. Soc, 109 , 8111.

    • Search Google Scholar
    • Export Citation
  • Temperton, C., , M. Hortal, , and A. Simmons, 1999: A two-time-level semi-Lagrangian global spectral model. ECMWF Tech. Memo. 283, 18 pp.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 44 44 3
PDF Downloads 28 28 0

On the Discretization of the Continuity Equation in Semi-Lagrangian Models with a Pressure-Type Vertical Coordinate

View More View Less
  • 1 Centre National de Recherches Météorologiques, Toulouse, France
© Get Permissions Rent on DeepDyve
Restricted access

Abstract

This note presents an alternative way to perform discretization of the column-integrated continuity equation in pressure-type vertical coordinate semi-Lagrangian models. The properties of this alternative form have not yet been pointed out in the literature to the authors' knowledge, and the aim of this paper is to briefly review some of its potential advantages or disadvantages for NWP modeling, namely with respect to behavior with mountains and to mass-conservation properties.

Corresponding author address: Dr. Pierre Bénard CNRM/GMAP, Météo-France, 42 Avenue Coriolis, Toulouse Cedex F-31057, France. Email: pierre.benard@meteo.fr

Abstract

This note presents an alternative way to perform discretization of the column-integrated continuity equation in pressure-type vertical coordinate semi-Lagrangian models. The properties of this alternative form have not yet been pointed out in the literature to the authors' knowledge, and the aim of this paper is to briefly review some of its potential advantages or disadvantages for NWP modeling, namely with respect to behavior with mountains and to mass-conservation properties.

Corresponding author address: Dr. Pierre Bénard CNRM/GMAP, Météo-France, 42 Avenue Coriolis, Toulouse Cedex F-31057, France. Email: pierre.benard@meteo.fr

Save