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




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Ocean Dynamics

, Volume 57, Issue 3, pp 189–203

First Online: 24 March 2007Received: 01 June 2006Accepted: 02 January 2007

Abstract

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.

KeywordsSpace-varying diffusivity Lagrangian model Pycnocline Responsible editor: Dirk Olbers

Eric Deleersnijder is a research associate with the Belgian National Fund for Scientific Research FNRS. His contribution to the present study was made in the framework of the development of the Second-generation Louvain-la-Neuve Ice-ocean Model SLIM, http:-www.climate.be-SLIM, which is supported by the Communauté Française de Belgique under the contract ARC 04-09-316.

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Author: Darya Spivakovskaya - Arnold W. Heemink - Eric Deleersnijder

Source: https://link.springer.com/







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