A test case for the inviscid shallow-water equations on the sphere
Abstract
A numerically converged solution to the inviscid global shallow-water equations for a predefined time interval is documented to provide a convenient benchmark for model validation. The solution is based on the same initial conditions as a previously documented solution for the viscous equations. The solution is computed using two independent numerical schemes, one a pseudospectral scheme based on an expansion in spherical harmonics and the other a finite-volume scheme on a cubed-sphere grid. Flow fields and various integral norms are documented to facilitate model comparison and validation. Attention is drawn to the utility of the potential vorticity supremum as a convenient and sensitive test of numerical convergence, in which the exact value is known a priori over the entire time interval.
Citation
Scott , R K , Harris , L M & Polvani , L M 2016 , ' A test case for the inviscid shallow-water equations on the sphere ' , Quarterly Journal of the Royal Meteorological Society , vol. 142 , no. 694 , pp. 488-495 . https://doi.org/10.1002/qj.2667
Publication
Quarterly Journal of the Royal Meteorological Society
Status
Peer reviewed
DOI
10.1002/qj.2667ISSN
0035-9009Type
Journal article
Description
Partial support for this work was provided through the National Science Foundation award AGS-1333029.Collections
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