Design and test of an improved scheme for global spectral model with reduced truncation error

An improved scheme of spectral model has been investigated in this paper. Through the introduction of a reference atmosphere, prognostic variables become smoother on the tilled sigma-surface over mountains or a frontal zone, and thus truncation errors are reduced. As a result, the problems about Gibbs waves and negative value of model topography on the sea, which are encountered in the current spectral model in the world, can be solved by the improved scheme. For comparison we have performed the numerical integrations of barotropic and baroclinic Rossby-Haurwitz waves, as well as the prediction of real cases with the improved scheme and the current scheme of spectral model. These results show that the scheme presented in the paper is better than the current scheme of spectral model.