Multilevel adaptive methods for semi-implicit solution of shallow-water equations on a sphere

A multigrid algorithm for local refinement in time and space for an Eulerian formulation of the shallow-water equations on a sphere is presented. It is shown that the accuracy obtainable on a full global grid can be reached using local patches in time and space. Results are presented using a model p...

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Veröffentlicht in:Monthly weather review 1995-07, Vol.123 (7), p.2197-2205
Hauptverfasser: RUGE, J. W, MCCORMICK, S. F, YEE, S. Y. K
Format: Artikel
Sprache:eng
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Zusammenfassung:A multigrid algorithm for local refinement in time and space for an Eulerian formulation of the shallow-water equations on a sphere is presented. It is shown that the accuracy obtainable on a full global grid can be reached using local patches in time and space. Results are presented using a model problem with a large-scale disturbance and a problem with topography and realistic initial conditions.
ISSN:0027-0644
1520-0493
DOI:10.1175/1520-0493(1995)123<2197:MAMFSI>2.0.CO;2