Semi-Lagrangian integration of a gridpoint shallow water model on the sphere

A stable, semi-Lagrangian, semi-implicit, two-time-level, gridpoint integration scheme for the shallow water equations on the sphere is presented. A rotated spherical coordinate system is used to integrate the equations of motion at each gridpoint poleward of a certain latitude, thus overcoming prob...

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Bibliographic Details
Published in:Monthly weather review 1989-01, Vol.117 (1), p.130-137
Main Authors: Mcdonald, A., Bates, J. R.
Format: Article
Language:English
Subjects:
Earth, ocean, space
Exact sciences and technology
External geophysics
Meteorology
Numerical Analysis
Weather analysis and prediction
Online Access:Get full text
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Summary:A stable, semi-Lagrangian, semi-implicit, two-time-level, gridpoint integration scheme for the shallow water equations on the sphere is presented. A rotated spherical coordinate system is used to integrate the equations of motion at each gridpoint poleward of a certain latitude, thus overcoming problems associated with the polar singularity. The results of medium term integrations of large scale test patterns using a long time step are presented.
ISSN:0027-0644
1520-0493
DOI:10.1175/1520-0493(1989)117<0130:slioag>2.0.co;2