The open boundary equation (discussion paper)

The open boundary equation (discussion paper)

Diederen, D.
Savenije, H.H.G.
Toffolon, M.

Civil Engineering and Geosciences

Water Management

2015-06-01

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.

OA-Fund TU Delft

http://resolver.tudelft.nl/uuid:9d3faf98-fe22-4bfe-b16f-c19e42b8e81f

European Geosciences Union (EGU)

1812-0806

http://www.ocean-sci-discuss.net/12/925/2015/

Ocean Science Discussions, 12, 2015

Institutional Repository

journal article

© 2015 The Author(s)
CC Attribution 3.0 License