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On Scalar and Vector Transform Methods for Global Spectral Models

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  • 1 European Centre for Medium Range Weather Forecasts, Shinfield Park, Reading, Berkshire, United Kingdom
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Abstract

We compare scalare and vector transform methods for global spectral models of the shallow-water equations. For the scalar transform methods, we demonstrate some economies in the number of Legendre transforms required. It is shown that the vector transform method is algebraically equivalent to the more usual scalar transform methods, and the choice of transform grid is discussed.

Abstract

We compare scalare and vector transform methods for global spectral models of the shallow-water equations. For the scalar transform methods, we demonstrate some economies in the number of Legendre transforms required. It is shown that the vector transform method is algebraically equivalent to the more usual scalar transform methods, and the choice of transform grid is discussed.

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