An inherently mass-conserving semi-implicit semi-Lagrangian discretisation of the shallow-water equations on the sphere
Zerroukat, M.; Wood, Nigel; Staniforth, A.; et al.White, A.A.; Thuburn, John
Date: 14 July 2009
Article
Journal
Quarterly Journal of the Royal Meteorological Society
Publisher
Royal Meteorological Society
Publisher DOI
Abstract
For the shallow-water equations on the sphere, an inherently mass-conserving semi-Lagrangian discretisation (SLICE) of the continuity equation is coupled with a semi-implicit semi-Lagrangian discretisation of the momentum equations. Various tests from the literature (two with analytical nonlinear solutions) are used to assess the model's ...
For the shallow-water equations on the sphere, an inherently mass-conserving semi-Lagrangian discretisation (SLICE) of the continuity equation is coupled with a semi-implicit semi-Lagrangian discretisation of the momentum equations. Various tests from the literature (two with analytical nonlinear solutions) are used to assess the model's performance and also to compare it with that of a variant model that instead employs a standard non-conserving semi-implicit semi-Lagrangian discretisation of the continuity equation. The mass-conserving version gives results that are overall somewhat better than the non-conserving one.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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