Preprints
https://doi.org/10.5194/osd-12-925-2015
https://doi.org/10.5194/osd-12-925-2015
01 Jun 2015
 | 01 Jun 2015
Status: this preprint was under review for the journal OS but the revision was not accepted.

The open boundary equation

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

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.

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D. Diederen, H. H. G. Savenije, and M. Toffolon
 
Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement
 
Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement
D. Diederen, H. H. G. Savenije, and M. Toffolon
D. Diederen, H. H. G. Savenije, and M. Toffolon

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