Articles | Volume 12, issue 6
https://doi.org/10.5194/gmd-12-2181-2019
https://doi.org/10.5194/gmd-12-2181-2019
Methods for assessment of models
 | 
04 Jun 2019
Methods for assessment of models |  | 04 Jun 2019

The Matsuno baroclinic wave test case

Ofer Shamir, Itamar Yacoby, Shlomi Ziskin Ziv, and Nathan Paldor

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Cited articles

Abramowitz, M. and Stegun, I. A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, Dover, 56, 1046 pp., 1964. a
Bosler, P., Wang, L., Jablonowski, C., and Krasny, R.: A Lagrangian particle/panel method for the barotropic vorticity equations on a rotating sphere, Fluid Dyn. Res., 46, 031406, https://doi.org/10.1088/0169-5983/46/3/031406, 2014. a
De-Leon, Y. and Paldor, N.: Zonally propagating wave solutions of Laplace Tidal Equations in a baroclinic ocean of an aqua-planet, Tellus A, 63, 348–353, https://doi.org/10.1111/j.1600-0870.2010.00490.x, 2011. a, b
Garfinkel, C. I., Fouxon, I., Shamir, O., and Paldor, N.: Classification of eastward propagating waves on the spherical Earth, Q. J. Roy. Meteor. Soc., 143, 1554–1564, 2017. a, b, c
Gildor, H., Paldor, N., and Ben-Shushan, S.: Numerical simulation of harmonic, and trapped, Rossby waves in a channel on the midlatitude β-plane, Q. J. Roy. Meteor. Soc., 142, 2292–2299, 2016. a, b
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Short summary
The development of atmospheric and oceanic models in spherical coordinates requires a quantitative assessment of the accuracy of the models’ simulations. Such an assessment tool is developed here based on analytic wave solutions of the linearized shallow-water equations. New error measures are employed which are more relevant then formerly employed error measures for the single-mode simulations used in the proposed test case. Code is supplied for calculating the required initial fields.
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