Print Email Facebook Twitter The open boundary equation (discussion paper) Title The open boundary equation (discussion paper) Author Diederen, D. Savenije, H.H.G. Toffolon, M. Faculty Civil Engineering and Geosciences Department Water Management Date 2015-06-01 Abstract We present a new equation describing the hydrodynamics in infinitely long tidal channels (i.e., no reflection) under the influence of oceanic forcing. The proposed equation is a simple relationship between partial derivatives of water level and velocity. It is formally derived for a progressive wave in a frictionless, prismatic, tidal channel with a horizontal bed. Assessment of a large number of numerical simulations, where an open boundary condition is posed at a certain distance landward, suggests that it can also be considered accurate in the more natural case of converging estuaries with nonlinear friction and a bed slope. The equation follows from the open boundary condition and is therefore a part of the problem formulation for an infinite tidal channel. This finding provides a practical tool for evaluating tidal wave dynamics, by reconstructing the temporal variation of the velocity based on local observations of the water level, providing a fully local open boundary condition and allowing for local friction calibration. Subject OA-Fund TU Delft To reference this document use: http://resolver.tudelft.nl/uuid:9d3faf98-fe22-4bfe-b16f-c19e42b8e81f Publisher European Geosciences Union (EGU) ISSN 1812-0806 Source http://www.ocean-sci-discuss.net/12/925/2015/ Source Ocean Science Discussions, 12, 2015 Part of collection Institutional Repository Document type journal article Rights © 2015 The Author(s)CC Attribution 3.0 License Files PDF Savenije_2015.pdf 355.99 KB Close viewer /islandora/object/uuid:9d3faf98-fe22-4bfe-b16f-c19e42b8e81f/datastream/OBJ/view