Solutions to the Shallow Water Test Set Using the Spectral Transform Method

摘要

A standard test set for numerical approximations to the shallow water equations in spherical geometry has been proposed by Williamson et al (1992). The present technical note contains solutions to those test cases that were obtained using the spectral transform method. The detailed mathematical formulation of the numerical test set are not included in the report. Thus, the technical note relies strongly on Williamson et al (1992) for a detailed mathematical description of the test cases and the requested performance metrics.