Author(s)

G.L. Browning & H.O. Kreiss

Abstract

Impact of rough forcing on systems with multiple time scales G.L. Browning", H.-O. Kreiss^ ^Colorado State University, Ft. Collins, CO 20523, [ASL4 aW WOAA, 325 Broadtua?/, BWder, CO ^Department of Mathematics, UCLA, Los Angeles, CL4 ABSTRACT In a series of weather model experiments on a CRAY supercomputer, Williamson and Temperton demonstrated that the interaction of the high- frequency gravity waves with the low-frequency Rossby waves is very weak. However, they stated that this "might not be the case when the model includes realistic physical processes such as release of latent heat which are strongly influenced by the vertical motion." The bounded derivative theory is valid for inhomogeneous hyperbolic systems with multiple time scales, but the magni- tude of any forcing term must be less than or equal to that of the horizontal advection terms in the same equation. When diabatic effects are added to the basic dynamical equations for the atmosphere, in the smalle

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