Abstract: The use of a centered-difference scheme on an unstaggered horizontal grid in time-dependent atmospheric or oceanic models leads to spurious two-grid-interval wave solutions that may appear as small-scale noise and mask the ...

Abstract: A semi-implicit, two time-level, three-step iterative time-difference scheme is proposed for the two-dimensional nonlinear shallow-water equations in a conservative flux form. After a semi-implicit linearization of the ...

Abstract: A new predictor-corrector time-difference scheme that employs a second-order Adams?Bashforth scheme for the predictor and a trapezoidal scheme for the corrector is introduced. The von Neumann stability properties of the ...

Abstract: inear multistage (Runge?Kutta) implicit?explicit (IMEX) time integration schemes for the time integration of fast-wave?slow-wave problems for which the fast wave has low amplitude and need not be accurately simulated are ...

Abstract: A sponge layer is formulated to prevent spurious reflection of vertically propagating quasi-stationary gravity waves at the upper boundary of a two-dimensional numerical anelastic nonhydrostatic model. The sponge layer ...

Abstract: A splitting method is presented for eliminating the need to directly solve for a two-dimensional Helmholtz-type difference equation in a semi-implicit scheme for a global gridpoint shallow-water model. In the proposed ...