Higher order finite-difference approximations in numerical weather prediction

Abstract

One method of reducing truncation error in numerical prediction is the use of more accurate finite-difference approximations. A relatively simple barotropic model, similar to the one currently in use by the Fleet Numerical Weather Facility (FNWF), Monterey, California, is employed as a basic program in testing several higher order finitedifferencing schemes. Forecasts were computed to 24 and 4# hours with modifications of the basic model, and comparisons were made with the analyses at verifying time. It is the intent of this study to determine the effects of some higher order finite-difference approximations in this numerical prediction model. The author expresses his appreciation to Professor George J. Haltiner for his suggestions, guidance, and patience. Appreciation is also expressed to the personnel of FNWF for providing data and programming assistance.