Spectral interpolation in SISL shallow-water models on the sphere produces higher accuracy, better mass and energy conservation, and less numerical diffusion than cubic or quintic interpolation on standard test cases.
Ritchie , Application of the semi- L agrangian method to a spectral model of the shallow water equations , Monthly Weather Review, 116 (1988), pp
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Spectral interpolation in semi-implicit semi-Lagrangian methods for shallow water equations on the sphere
Spectral interpolation in SISL shallow-water models on the sphere produces higher accuracy, better mass and energy conservation, and less numerical diffusion than cubic or quintic interpolation on standard test cases.