The Accuracy of a Finite-Element Vertical Discretization Scheme for Primitive Equation Models: Comparison with a Finite-Difference Scheme
Open Access
- 1 December 1983
- journal article
- Published by American Meteorological Society in Monthly Weather Review
- Vol. 111 (12) , 2298-2318
- https://doi.org/10.1175/1520-0493(1983)111<2298:taoafe>2.0.co;2
Abstract
The accuracy of a slightly modified version of the finite-element vertical discretization scheme first described in Staniforth and Daley is studied with respect to a set of Rossby and gravity analytical normal modes obtained as solutions of a linearized primitive equation model. The scheme is also compared to a second-order, staggered, finite-difference vertical discretization scheme. The results of these comparisons are in favor of the finite-element method as far as accuracy is concerned. In terms of computation time, both methods are identical. Abstract The accuracy of a slightly modified version of the finite-element vertical discretization scheme first described in Staniforth and Daley is studied with respect to a set of Rossby and gravity analytical normal modes obtained as solutions of a linearized primitive equation model. The scheme is also compared to a second-order, staggered, finite-difference vertical discretization scheme. The results of these comparisons are in favor of the finite-element method as far as accuracy is concerned. In terms of computation time, both methods are identical.Keywords
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