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A test case for the inviscid shallow‐water equations on the sphere



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  • Journal Title:
    Quarterly Journal of the Royal Meteorological Society
  • Personal Author:
  • NOAA Program & Office:
  • 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.
  • Source:
    Quarterly Journal of the Royal Meteorological Society, 142(694), 488-495
  • DOI:
  • ISSN:
    0035-9009 ; 1477-870X
  • Format:
    PDF
  • Publisher:
    Wiley
  • Document Type:
    Journal Article
  • Rights Information:
    Accepted Manuscript
  • Compliance:
    Submitted
  • Main Document Checksum:
    urn:sha-512:87622c426c383fe74d12913799d6c0b6a886dcc91273efa96f472bc1d03f2bba4a903b2618e8c9656ebf3dca36c947f46a4464d4fb09ea265217a2ff8ce180d1
  • Download URL:
  • File Type:
    Filetype[PDF - 9.97 MB ]
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