A mass-conservative semi-implicit semi-lagrangian limited-area shallow-water model on the sphere
A locally mass conservative shallow-water model using a two-time-level, semi-implicit, semi-Lagrangian integration scheme is presented. The momentum equations are solved with the traditional semi-Lagrangian gridpoint form. The explicit continuity equation is solved using a cell-integrated semi-Lagra...
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| Veröffentlicht in: | Monthly weather review 2006-04, Vol.134 (4), p.1205-1221 |
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| creator | LAURITZEN, Peter H KAAS, Eigil MACHENHAUER, Bennert |
| description | A locally mass conservative shallow-water model using a two-time-level, semi-implicit, semi-Lagrangian integration scheme is presented. The momentum equations are solved with the traditional semi-Lagrangian gridpoint form. The explicit continuity equation is solved using a cell-integrated semi-Lagrangian scheme, and the semi-implicit part is designed such that the resulting elliptic equation is on the same form as for the traditional semi-Lagrangian gridpoint system. The accuracy of the model is assessed by running standard test cases adapted to a limited-area domain. The accuracy and efficiency of the new model is comparable to traditional semi-Lagrangian methods. |
| doi_str_mv | 10.1175/MWR3115.1 |
| format | Article |
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| subjects | Accuracy Earth, ocean, space Exact sciences and technology External geophysics Finite element analysis Flow control Geophysics. Techniques, methods, instrumentation and models Guarantees Heat transfer Meteorology Methods Other topics in atmospheric geophysics Shallow water |
| title | A mass-conservative semi-implicit semi-lagrangian limited-area shallow-water model on the sphere |
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