Print Email Facebook Twitter An accurate momentum advection scheme for a z-level coordinate models Title An accurate momentum advection scheme for a z-level coordinate models Author Kleptsova, O. Stelling, G.S. Pietrzak, J.D. Faculty Civil Engineering and Geosciences Department Hydraulic Engineering Date 2010-11-06 Abstract In this paper, we focus on a conservative momentum advection discretisation in the presence of zlayers. While in the 2Dcase conservation ofmomentum 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. Subject shallow water equationsadvectionflooding and dryingmomentum conservationz-layerstaircase problem To reference this document use: http://resolver.tudelft.nl/uuid:881bec0b-2d64-4e5c-b118-9c0c5b7cd5e2 DOI https://doi.org/10.1007/s10236-010-0350-y Publisher Springer Verlag ISSN 1616-7341 Source Ocean Dynamics, 60 (6), 2010 Part of collection Institutional Repository Document type journal article Rights © 2010 The Author(s). This article is published with open access at Springerlink.com Files PDF kleptsova2010.pdf 738.09 KB Close viewer /islandora/object/uuid:881bec0b-2d64-4e5c-b118-9c0c5b7cd5e2/datastream/OBJ/view