{"refrec":{"BRefID":204291,"RR":"<b>Kleptsova, O.; Stelling, G.S.; Pietrzak, J.D.</b> (2010). An accurate momentum advection scheme for a <i>z</i>-level coordinate models. <i>Ocean Dynamics 60(6)</i>: 1447-1461. <a href=\"https://dx.doi.org/10.1007/s10236-010-0350-y\" target=\"_blank\">https://dx.doi.org/10.1007/s10236-010-0350-y</a>","BEntID":196469,"PublicFlag":1,"CheckedFlag":0,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Ocean Dynamics 60(6)</i>: 1447-1461. <a href=\"https://dx.doi.org/10.1007/s10236-010-0350-y\" target=\"_blank\">https://dx.doi.org/10.1007/s10236-010-0350-y</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Kleptsova, O.; Stelling, G.S.; Pietrzak, J.D.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Kleptsova, O. <i>et al.</i>","Englishabstract":"In this paper, we focus on a conservative momentum advection discretisation in the presence of z-layers. While in the 2D case conservation of momentum is achieved automatically for an Eulerian advection scheme, special attention is required in the multi-layer case. We show here that an artificial vertical structure of the flow can be introduced solely by the presence of the z-layers, which we refer to as the staircase problem. To avoid this staircase problem, the z-layers have to be remapped in a specific way. The remapping procedure also deals with the case of an uneven number of layers adjacent to a column side, thus allowing one to simulate flooding and drying phenomena in a 3D model. 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