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-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.

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Author Lauritzen, Peter
Kaas, Eigil
Machenhauer, Bennert
Publisher UCAR/NCAR - Library
Publication Date 2006-04-01T00:00:00
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Topic Category geoscientificInformation
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Metadata Date 2023-08-18T18:42:31.311487
Metadata Record Identifier edu.ucar.opensky::articles:6186
Metadata Language eng; USA
Suggested Citation Lauritzen, Peter, Kaas, Eigil, Machenhauer, Bennert. (2006). A Mass-conservative semi-implicit semi-Lagrangian limited-area shallow-water model on the sphere. UCAR/NCAR - Library. http://n2t.net/ark:/85065/d73r0t2g. Accessed 10 December 2024.

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