{"refrec":{"BRefID":106439,"RR":"<b>Beckers, J.-M.; Burchard, H.; Deleersnijder, E.; Mathieu, P.-P.</b> (2000). Numerical discretization of rotated diffusion operators in ocean models. <i>Mon. Weather Rev. 128(8)</i>: 2711-2733","BEntID":101328,"PublicFlag":1,"CheckedFlag":0,"wosflag":1,"vabbflag":1,"RefStringPartII":". <i>Mon. Weather Rev. 128(8)</i>: 2711-2733","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Beckers, J.-M.; Burchard, H.; Deleersnijder, E.; Mathieu, P.-P.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Beckers, J.-M. <i>et al.</i>","Englishabstract":"A method to improve the behavior of the numerical discretization of a rotated diffusion operator such as, for example, the isopycnal diffusion parameterization used in large-scale ocean models based on the so-called z-coordinate system is presented. The authors then focus 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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