ABSTRACT
The purpose of this paper is to explore a time-split hybrid Galerkin scheme for the atmospheric shallow water equations. A nonlinear variant of operator integration factor splitting is employed as the time-stepping scheme. The hyperbolic system representing slow modes is discretized using the discontinuous Galerkin method. An implicit second-order backward differentiation formula is applied to Coriolis and gravity wave terms. The implicit system is then discretized using a spectral element or continuous Galerkin method. The advantages of such an approach include improved mass and energy conservation properties. A TVD Runge-Kutta scheme is used for sub-stepping.