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A test case for the inviscid shallow‐water equations on the sphere
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2015
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Source: Quarterly Journal of the Royal Meteorological Society, 142(694), 488-495
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Details:
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Journal Title:Quarterly Journal of the Royal Meteorological Society
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Description: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.
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Source:Quarterly Journal of the Royal Meteorological Society, 142(694), 488-495
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DOI:
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ISSN:0035-9009;1477-870X;
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Document Type:
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Rights Information:Accepted Manuscript
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Compliance:Submitted
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