On the Formulation of Finite-Element Prediction Models

R. T. Williams Department of Meteorology, Naval Postgraduate School, Menterey, CA 93940

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Abstract

Three numerical schemes for the vorticity-divergence form of the shallow-water equations are analyzed using the Fourier transform technique developed by Schoenstadt (1980). These schemes are compared with two finite-element schemes for the primitive form of the equations which were examined by Schoenstadt. The best finite-element schemes use either staggered elements in the primitive form of the equations, or unstaggered elements in the vorticity-divergence form.

Abstract

Three numerical schemes for the vorticity-divergence form of the shallow-water equations are analyzed using the Fourier transform technique developed by Schoenstadt (1980). These schemes are compared with two finite-element schemes for the primitive form of the equations which were examined by Schoenstadt. The best finite-element schemes use either staggered elements in the primitive form of the equations, or unstaggered elements in the vorticity-divergence form.

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