An accurate momentum advection scheme for a z-level coordinate models |
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Authors: | Olga Kleptsova Guus S Stelling Julie D Pietrzak |
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Institution: | (1) Faculty of Civil Engineering and Geosciences, Delft University of Technology, Stevinweg 1, 2628CN Delft, The Netherlands |
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Abstract: | 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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