Abstract: Atmospheric models based on the Euler equations exist and are used occasionally to carry out numerical experiments. Such a model is used here to simulate the motion of warm bubbles in a dry isentropic atmosphere. For the ...

Abstract: A brief examination of some recent applications of the spectral method will clearly establish and display the rapid progress accomplished by this technique over the past several years. A discussion of the feasibility of ...

Abstract: A fully implicit scheme proposed by a group located at the Courant Institute is examined and analyzed for its stability and accuracy. The scheme seems to be easily adaptable to numerical integration in large-scale atmospheric ...

Abstract: This project used a series of 500-mb. charts prepared originally for the study of planetary waves. These charts, covering both hemispheres, provided the initial conditions for a spectral barotropic model. In this model, ...

Abstract: A modification is introduced in a semi-implicit version of a grid point model of the shallow water equations. The new model is simpler, runs one-third, and after 5 days of integration, the forecasts differ by less than 1 m.

Abstract: A semi-implicit time integration scheme tested earlier with a spectral model is now adapted to a grid point model of the primitive equations. Predictions prepared by the implicit method compare quite favorably with the ...

Abstract: A semi-implicit time integration algorithm developed earlier for a barotropic model resulted in an appreciable economy of computing time. An extension of this method to baroclinic models is formulated, including a description ...

Abstract: Explicit formulations for horizontal diffusion in atmospheric models are only conditionally stable. As a consequence, the coefficient of diffusion cannot be increased beyond a critical value that depends on the grid length ...

Abstract: A complete multilevel atmospheric model of the primitive meteorological equations is integrated at high spatial resolution with a large time step of 90 min. Numerical stability is achieved by associating a semi-Lagrangian ...

Abstract: The semi-implicit algorithm, originally developed by Robert for an economical integration of the primitive equations in large-scale models of the atmospheric, is here generalized in order to integrate the fully compressible, ...