Stability of numerical procedures for a linear barotropic vorticity equation (Q1098373)
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scientific article; zbMATH DE number 4037424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of numerical procedures for a linear barotropic vorticity equation |
scientific article; zbMATH DE number 4037424 |
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Stability of numerical procedures for a linear barotropic vorticity equation (English)
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1987
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The stability analysis of some commonly used numerical procedures for a finite difference linear barotropic vorticity equation is performed. Upper bounds of the time step to be used are given to maintain stable the numerical processes. In some special cases it is verified that these iterative procedures are block successive relaxation methods. The optimum process is an underrelaxation process. Numerical calculations support the analytical results.
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quasi-geostrophic equation
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stability analysis
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numerical procedures
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finite difference linear barotropic vorticity equation
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underrelaxation process
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