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A method to improve the behaviour of the numerical discretization of a rotated diffusion operator such as, for example, the isopycnal diffusion parameterisation used in large-scale ocean models based on the so-called z-coordinate system is presented. The authors then focused exclusively on the dynamically passive tracers and analyze some different approaches to the numerical discretization. Monotonic schemes are designed but are found to be rather complex, while simpler, linear schemes are shown to produce unphysical undershooting and overshooting.

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Authors: BECKERS J.M, University of Liege (BE);BURCHARD H, JRC Space Applications Institute, Ispra (IT);DELEERSNIJDER E, University of Catholique de Louvain (BE);MATHIEU P.P, University of Catholique de Louvain (BE)
Bibliographic Reference: Article published in: Monthly Weather Review, vol. 128, pp 2711-2733 August.
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