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Enforcing the continuity equation in numerical models of geophysical fluid flows

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Deleersnijder, Eric [UCL]

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. (C) 2001 Elsevier Science Ltd. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2001
Language Anglais
Journal information "Applied Mathematics Letters" - Vol. 14, no. 7, p. 867-873 (2001)
Peer reviewed yes
Publisher Pergamon-elsevier Science Ltd (Oxford)
issn 0893-9659
e-issn 1873-5452
Publication status Publié
Affiliation UCL
Keywords geophysical fluid flow ; continuity equation ; corrective velocity ; Poisson problem
Links
Bibliographic reference Deleersnijder, Eric. Enforcing the continuity equation in numerical models of geophysical fluid flows. In: Applied Mathematics Letters, Vol. 14, no. 7, p. 867-873 (2001)
Permanent URL http://hdl.handle.net/2078.1/42536