A Semi-Implicit Finite-Element Barotropic Model

Andrew N. Staniforth Recherche en Prévision Numérique, Atmospheric Environmental Service, Dorval, Québec H9P 1J3, Canada

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Herschel L. Mitchell Recherche en Prévision Numérique, Atmospheric Environmental Service, Dorval, Québec H9P 1J3, Canada

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Abstract

A barotropic primitive equation model using the finite-element method of space discretization is presented. The semi-implicit method of time discretization is implemented by taking a suitable form of the governing equations. Finite-element forecasts are then compared with those from both finite-difference and spectral models. From the point of view of both efficiency and accuracy it is concluded that the finite-element method of space discretization appears to he viable for the practical problem of numerical weather prediction.

Abstract

A barotropic primitive equation model using the finite-element method of space discretization is presented. The semi-implicit method of time discretization is implemented by taking a suitable form of the governing equations. Finite-element forecasts are then compared with those from both finite-difference and spectral models. From the point of view of both efficiency and accuracy it is concluded that the finite-element method of space discretization appears to he viable for the practical problem of numerical weather prediction.

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