Abstract: To improve the simulation of nonlinear aspects of the flow over steep topography, a potential enstrophy-and energy-conserving finite-difference scheme for the shallow-water equations was derived by Arakawa and Lamb. Here ...

Abstract: Exact solutions to the linearized shallow-water equations in a channel with linear depth variation and a mean flow are obtained in terms of confluent hypergeometric functions. These solutions are the generalization to ...

Abstract: A limited-area model of linearized shallow water equations (SWE) on an f plane for a rectangular domain is considered. The rectangular domain is extended to include the so-called perfectly matched layer (PML) as an absorbing ...