Wave analysis for different splittings of the shallow water equations on the beta-plane
The effects of operator splitting on the wave Solutions of the linearized shallow water equations have been investigated in [A. Havasi, Dispersion analysis of operator splittings in the linearized shallow water equations, in: I. Lirkov, S. Margenov, J. Wasniewski (Eds.), Large-Scale Scientific Computing: 5th International Conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005, in: Lecture Notes in Computer Science, vol. 3743, Springer, 2006] by directional decomposition of the sub-operators and by the constant Coriolis parameter f. This - so-called f-plane - approximation does not allow the formation of Rossby waves, which play a major role in the evolution of midlatitude weather systems. In this paper we apply beta-plane approximation in the shallow water equations and examine how the resulting Rossby-gravity waves are influenced by the separation of different physical effects in some concrete splitting schemes. (C) 2007 Elsevier Ltd. All rights reserved.
operator splitting rossby waves shallow water model gravity waves spectrum approximation