Enforcing the continuity equation in numerical models of geophysical fluid flows |
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Institution: | Institut d''Astronomie et de Géophysique G. Lemaître Université Catholique de Louvain 2 Chemin du Cyclotron B-1348 Louvain-la-Neuve, Belgium |
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Abstract: | A method is described for modifying the velocity field in geophysical fluid models so as to enforce the continuity equation. A corrective mass flux is introduced, which derives from a scalar potential. The latter is the solution of a Poisson problem which is formulated in such a way that a suitable norm of the corrective velocity be minimum. It is seen that a generalised vertical coordinate may be used. Finally, an elementary, one-dimensional illustration of the functioning of the method suggested is provided. |
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