|An accurate momentum advection scheme for a z-level coordinate models|
|Kleptsova, O.; Stelling, G.S.; Pietrzak, J.D. (2010). An accurate momentum advection scheme for a z-level coordinate models. Ocean Dynamics 60(6): 1447-1461. dx.doi.org/10.1007/s10236-010-0350-yOpen Access|
|In: Ocean Dynamics. Springer-Verlag: Berlin. ISSN 1616-7341, more|
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.