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We show how to improve the behaviour of the numerical discretization of a rotated diffusion operator as, for example, the isopycnal diffusion parameterization used in large scale ocean models based on the so-called z-coordinate system. We then focus exclusively on the dynamically passive tracers and analyze some different approaches to the numerical discretization. Rather complex monotonic schemes are designed but are found to be rather complex, while simpler, linear schemes are shown to produce unphysical undershooting and overshooting. We suggest that the choice of an appropriate discretization methods depends on the importance of the rotated diffusion in the simulation considered whether the field to be diffused is dynamically active or not.

Additional information

Authors: SAI, ;JRC-ISPRA (IT),
Bibliographic Reference: Article: Monthly Weather Review (1999)
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