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

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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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2007
Language Anglais
Journal information "Ocean Dynamics : theoretical, computational oceanography and monitoring" - Vol. 57, no. 3, p. 189-203 (2007)
Peer reviewed yes
Publisher Springer Heidelberg (Heidelberg)
issn 1616-7341
e-issn 1616-7228
Publication status Publié
Affiliation UCL
Keywords space-varying diffusivity ; Lagrangian model ; pycnocline
Links
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Bibliographic reference 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)
Permanent URL http://hdl.handle.net/2078.1/37525