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Lagrangian modelling of multi-dimensional advection-diffusion with space-varying diffusivities: theory and idealized test cases

Onglets principaux

Spivakovskaya, Darya Heemink, Arnold W. Deleersnijder, Eric [UCL]

To efficiently simulate the advection-diffusion processes along and across density surfaces, we need to deal with a diffusivity tensor containing off-diagonal elements (Redi, J Phys Oceanogr, 12:1154-1158, 1982). In the present paper, the Lagrangian model, in case of a space-varying diffusivity tensor, is developed. This random walk model is applied for two idealized test cases for which the analytical solutions are known. Results of the testing show that the Lagrangian approach provides accurate and effective solutions of advection-diffusion problems for general diffusivity tensor.

Type de document Article de périodique (Journal article) – Article de recherche
Type d'accès Accès restreint
Année de publication 2007
Langue Anglais
Information sur le périodique "Ocean Dynamics : theoretical, computational oceanography and monitoring" - Vol. 57, no. 3, p. 189-203 (2007)
Peer reviewed oui
Editeur Springer Heidelberg (Heidelberg)
issn 1616-7341
e-issn 1616-7228
Statut de la publication Publié
Affiliations UCL
Mots-clés space-varying diffusivity ; Lagrangian model ; pycnocline
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Référence bibliographique Spivakovskaya, Darya ; Heemink, Arnold W. ; Deleersnijder, Eric. Lagrangian modelling of multi-dimensional advection-diffusion with space-varying diffusivities: theory and idealized test cases. In: Ocean Dynamics : theoretical, computational oceanography and monitoring, Vol. 57, no. 3, p. 189-203 (2007)
Permalien http://hdl.handle.net/2078.1/37525