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document
Cai, Huayang (author), Savenije, H.H.G. (author), Garel, Erwan (author), Zhang, Xianyi (author), Guo, Leicheng (author), Zhang, Min (author), Liu, Feng (author), Yang, Qingshu (author)
As a tide propagates into the estuary, river discharge affects tidal damping, primarily via a friction term, attenuating tidal motion by increasing the quadratic velocity in the numerator, while reducing the effective friction by increasing the water depth in the denominator. For the first time, we demonstrate a third effect of river discharge...
journal article 2019
document
Cai, H. (author), Toffolon, Marco (author), Savenije, H.H.G. (author), Yang, Qingshu (author), Garel, Erwan (author)
When different tidal constituents propagate along an estuary, they interact because of the presence of nonlinear terms in the hydrodynamic equations. In particular, due to the quadratic velocity in the friction term, the effective friction experienced by both the predominant and the minor tidal constituents is enhanced. We explore the...
journal article 2018
document
Cai, H. (author), Savenije, H.H.G. (author), Jiang, C. (author), Zhao, L. (author), Yang, Q. (author)
The mean water level in estuaries rises in the landward direction due to a combination of the density gradient, the tidal asymmetry, and the backwater effect. This phenomenon is more prominent under an increase of the fresh water discharge, which strongly intensifies both the tidal asymmetry and the backwater effect. However, the interactions...
journal article 2016
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Cai, H. (author), Toffolon, Marco (author), Savenije, H.H.G. (author)
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...
journal article 2016
document
Cai, H. (author), Savenije, H.H.G. (author), Jiang, C. (author)
As the tidal wave propagates into an estuary, the tidally averaged water level tends to rise in landward direction due to the density difference between saline and fresh water and the asymmetry of the friction. The effect of friction on the residual slope is even more remarkable when accounting for fresh water discharge. In this study, we...
journal article 2014
document
Cai, H. (author), Savenije, H.H.G. (author), Jiang, C. (author)
As the tidal wave propagates into an estuary, the tidally averaged water level tends to rise in landward direction due to the density difference between saline and fresh water and the asymmetry of the friction. The effect of friction on the residual slope is even more remarkable when accounting for fresh water discharge. In this study, we...
journal article 2014
document
Cai, H. (author), Savenije, H.H.G. (author), Toffolon, M. (author)
The effect of river discharge on tidal damping in estuaries is explored within one consistent theoretical framework where analytical solutions are obtained by solving four implicit equations, i.e. the phase lag, the scaling, the damping and the celerity equation. In this approach the damping equation is obtained by subtracting the envelope...
journal article 2014
document
Cai, H. (author), Savenije, H.H.G. (author)
Tidal wave propagation can be described analytically by a set of four implicit equations, i.e., the phase lag equation, the scaling equation, the damping equation, and the celerity equation. It is demonstrated that this system of equations has an asymptotic solution for an infinite channel, reflecting the balance between friction and channel...
journal article 2013
document
Cai, H. (author), Savenije, H.H.G. (author), Toffolon, M. (author)
The effect of river discharge on tidal damping in estuaries is explored within one consistent theoretical framework where analytical solutions are obtained by solving four implicit equations, i.e., the phase lag, the scaling, the damping and the celerity equation. In this approach the damping equation is obtained by subtracting the envelope...
journal article 2013
document
Cai, H. (author), Savenije, H.H.G. (author), Toffolon, M. (author)
This paper explores different analytical solutions of the tidal hydraulic equations in convergent estuaries. Linear and quasi-nonlinear models are compared for given geometry, friction, and tidal amplitude at the seaward boundary, proposing a common theoretical framework and showing that the main difference between the examined models lies in...
journal article 2012
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