A global semi-Lagrangian spectral model of the shallow water equations with variable resolution
| Autor: | Daniel X. Guo, John B. Drake |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Mathematical analysis Conformal map Geometry Grid Stability (probability) Computer Science Applications Computational Mathematics symbols.namesake Transformation (function) Flow (mathematics) Modeling and Simulation symbols Gaussian grid Spectral method Shallow water equations Mathematics |
| Zdroj: | Journal of Computational Physics. 206:559-577 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2004.12.020 |
| Popis: | A new formulation of a semi-implicit, semi-Lagrangian spectral method is given together with a conformal mapping of the underlying Gaussian grid. The mapping based on the Schmidt transformation focuses grid resolution on a particular region. The advective form of the vorticity-divergence equations allows the conformal map to be incorporated in a semi-Lagrangian transport step while maintaining an efficient spectral transform algorithm. The shallow water equations on the sphere are solved to test the variable resolution spectral model. By focusing on a specified location, local details of the flow are more accurately resolved. Accuracy and stability of the method are compared with uniform spectral solutions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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