An analytical approach to determining resonance in semi-closed convergent tidal channels

Huayang Cai*, M. Toffolon, Hubert H G Savenije

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)
63 Downloads (Pure)


An analytical model is used to investigate the resonant behavior in a semi-closed channel. The main integral quantities of the tidal wave are obtained by means of a linearized one-dimensional model as a function of three dimensionless parameters, representing cross-section convergence, friction and distance to the closed boundary. Arbitrary along-channel variations of width and depth are accounted for by using a multi-reach approach, whereby the main tidal dynamics are reconstructed by solving a set of linear equations satisfying the continuity conditions of water level and discharge at the junctions of the sub-reaches. We highlight the importance of depth variation in the momentum equation, which is not considered in the classical tidal theory. The model allows for a direct characterization of the resonant response and for the understanding of the relative importance of the controlling parameters, highlighting the role of convergence and friction. Subsequently, the analytical model is applied to the Bristol Channel and the Guadalquivir estuary. The proposed analytical relations provide direct insights into the tidal resonance in terms of tidal forcing, geometry and friction, which will be useful for the study of semi-closed tidal channels that experience relatively large tidal ranges at the closed end.

Original languageEnglish
Article number16500091
Number of pages37
JournalCoastal Engineering Journal
Issue number3
Publication statusPublished - 1 Sep 2016


  • amplification
  • analytical model
  • tidal channel
  • Tidal resonance


Dive into the research topics of 'An analytical approach to determining resonance in semi-closed convergent tidal channels'. Together they form a unique fingerprint.

Cite this