Here are the results computed for the SWEs on the sphere.
Layer-depth for flow over a mountain (testcase 5 from the Williamson et al (1992) test set paper over 30 days)
Layer-depth for flow over a mountain (testcase 5 from the Williamson et al (1992) test set paper over 60 days)
Rossby-Haurwitz wave (testcase 6 from the Williamson (1992) test set paper)
Geopotential height over 10 days (500mb, December 21st, 1978, as in testcase 7 from the Williamson et al (1992) test set paper)
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Sebastian Reich