The mathematical equivalence of multi-level and vertically integrated numerical forecasting models

Article English OPEN
Berkofsky, Louis (2011)

It is shown that, if the equations for an n-level model are averaged, the resulting equations have mathematical forms which, under certain conditions, are identical with those of the vertically integrated n-parameter model. The implications for the temperature and ω-profiles are discussed in order to achieve exact mathematical equivalence. A physically consistent vertically integrated model yields temperature and ω-profiles which depart from those required for mathematical exactness, yet appears to lead to more realistic results.DOI: 10.1111/j.2153-3490.1963.tb01405.x
  • References (4)

    BERKOFSKLY., 1958, A three-parameterbaroclinic numerical prediction model, Journ. Met., 18, pp. 102-1 11.

    CHARNEY,J., and PHILLIPSN,., 1953, Numerical integration of the qua&-geostrophic equations for barotropic and simple baroclinic flows, Journ. Met., 10, pp. 71-99.

    ELLIASSENA,., and KLEINSCHMIDET.,,1957. Dynamic meteorology, in Handbuch der Phyaik, Band XLVIII, Geophysik 11, pp. 1-154.

    KNIGHTINGE,., 1980, Some computations of the variation of vertical velocity with pressure on a synoptic scale, QJRMS, 86, pp. 318-328.

  • Metrics
    No metrics available
Share - Bookmark