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A test case for the inviscid shallow-water equations on the sphere
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dc.contributor.author | Scott, R. K. | |
dc.contributor.author | Harris, L. M. | |
dc.contributor.author | Polvani, L. M. | |
dc.date.accessioned | 2016-11-04T00:33:57Z | |
dc.date.available | 2016-11-04T00:33:57Z | |
dc.date.issued | 2016-01 | |
dc.identifier | 241227161 | |
dc.identifier | 7dac0c07-aa51-44b2-a4be-cea6f2cb61a1 | |
dc.identifier | 84957839724 | |
dc.identifier | 000369978300038 | |
dc.identifier.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 | en |
dc.identifier.issn | 0035-9009 | |
dc.identifier.other | ORCID: /0000-0001-5624-5128/work/55378732 | |
dc.identifier.uri | https://hdl.handle.net/10023/9761 | |
dc.description | Partial support for this work was provided through the National Science Foundation award AGS-1333029. | en |
dc.description.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. | |
dc.format.extent | 8 | |
dc.format.extent | 10457994 | |
dc.language.iso | eng | |
dc.relation.ispartof | Quarterly Journal of the Royal Meteorological Society | en |
dc.subject | Shallow-water flow | en |
dc.subject | Numerical modelling | en |
dc.subject | Potential vorticity | en |
dc.subject | QA Mathematics | en |
dc.subject | Atmospheric Science | en |
dc.subject | NDAS | en |
dc.subject.lcc | QA | en |
dc.title | A test case for the inviscid shallow-water equations on the sphere | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.1002/qj.2667 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2016-11-03 |
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