The Propagation of Tides up Rivers With Special Considerations on the Upper Saint Lawrence River

Godin, Gabriel

doi:10.1006/ecss.1998.0422

Cited by 171 publications

(310 citation statements)

References 0 publications

Supporting

Mentioning

299

Contrasting

Unclassified

Order By: Relevance

“…Further up estuaries, the methods used in the present study are not appropriate as the tidal curve is not parameterisable as a sum of harmonics (Godin 1999;Pugh and Woodworth 2014 Chapter 6). For example, a tidal analysis of data from Avonmouth in the Bristol Channel shows large positive and negative residuals at low tide which are not well understand (primarily because they are of little interest with regard to flooding) but, nevertheless, contribute to the observed MLW and thereby MTL.…”

Section: Liverpoolmentioning

confidence: 98%

Differences between mean tide level and mean sea level

Woodworth

2016

J Geod

View full text Add to dashboard Cite

This paper discusses the differences between Mean Tide Level (MTL) and Mean Sea Level (MSL) as demonstrated using information from a global tide gauge data set. The roles of the two main contributors to differences between MTL and MSL (the M4 harmonic of the M2 semidiurnal tide, and the combination of the diurnal tides K1 and O1) are described, with a particular focus on the spatial scales of variation in MTL-MSL due to each contributor. Findings from the tide gauge data set are contrasted with those from a state-of-the-art global tide model. The study is of interest within tidal science, but also has practical importance regarding the type of mean level used to define land survey datums. In addition, an appreciation of MTL-MSL difference is important in the use of the historical sea level data used in climate change research, with implications for some of the data stored in international databanks. Particular studies are made of how MTL and MSL might differ through the year, and if MTL is measured in daylight hours only, as has been the practice of some national geodetic agencies on occasions in the past.

show abstract

Section: Liverpoolmentioning

confidence: 98%

Differences between mean tide level and mean sea level

Woodworth

2016

J Geod

View full text Add to dashboard Cite

show abstract

“…It is to be noted that such a method has the advantage of keeping the hydrodynamic equations resolvable in a closed form (Godin, 1991(Godin, , 1999.…”

mentioning

confidence: 99%

“…The amplitude and phase of tidal constituents near the mouth are highly similar to those at the entrance of the Guadiana estuary ( term on the velocity, u|u|. Adopting a two-term approximation, it is known that (Godin, 1991(Godin, , 1999)…”

mentioning

confidence: 99%

“…The Chebyshev coefficients were determined as α = 16/(15π), and β = 32/(15π) (Godin, 1991(Godin, , 1999. It is important to note 170 that, unlike series developments (e.g., Fourier expansion), the Chebyshev coefficients α and β vary with the number of terms that are used in the development.…”

mentioning

confidence: 99%

“…Note that the possible phase lag between the two constituents is neglected assuming a suitable time shift (Inoue and Garrett, 2007). In this case, the truncated Chebyshev polynomials approximation of u|u| (focusing on two original tidal constituents) is expressed as (see also Godin, 1999) with…”

mentioning

confidence: 99%

See 2 more Smart Citations

Frictional interactions between tidal constituents in tide-dominated estuaries

Cai¹,

Toffolon²,

Savenije³

et al. 2018

Preprint

View full text Add to dashboard Cite

Abstract. 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 underlying mechanism with a simple conceptual model by utilizing Chebyshev polynomials, enabling the effect of the velocities of the tidal con-5 stituents to be summed in the friction term and, hence, the linearized hydrodynamic equations to be solved analytically in a closed form. An analytical model is adopted for each single tidal constituent with a correction factor to adjust the linearized friction term, accounting for the mutual interactions between the different tidal constituents by means of an iterative procedure. The proposed method is applied to the Guadiana (southern Portugal-Spain border) and the Guadalquivir (Spain) estuaries 10 for different tidal constituents (M 2 , S 2 , N 2 , O 1 , K 1 ) imposed independently at the estuary mouth.The analytical results appear to agree very well with the observed tidal amplitudes and phases of the different tidal constituents.

show abstract

Temporal and spatial variability of tidal‐fluvial dynamics in the St. Lawrence fluvial estuary: An application of nonstationary tidal harmonic analysis

2014

View full text Add to dashboard Cite

Predicting tides in upstream reaches of rivers is a challenge, because tides are highly nonlinear and nonstationary, and accurate short-time predictions of river flow are hard to obtain. In the St. Lawrence fluvial estuary, tide forecasts are produced using a one-dimensional model (ONE-D), forced downstream with harmonic constituents, and upstream with daily discharges using 30 day flow forecasts from Lake Ontario and the Ottawa River. Although this operational forecast system serves its purpose of predicting water levels, information about nonstationary tidal-fluvial processes that can be gained from it is limited, particularly the temporal changes in mean water level and tidal properties (i.e., constituent amplitudes and phases), which are function of river flow and ocean tidal range. In this paper, a harmonic model adapted to nonstationary tides, NS_TIDE, was applied to the St. Lawrence fluvial estuary, where the time-varying external forcing is directly built into the tidal basis functions. Model coefficients from 13 analysis stations were spatially interpolated to allow tide predictions at arbitrary locations as well as to provide insights into the spatiotemporal evolution of tides. Model hindcasts showed substantial improvements compared to classical harmonic analyses at upstream stations. The model was further validated by comparison with ONE-D predictions at a total of 32 stations. The slightly lower accuracy obtained with NS_TIDE is compensated by model simplicity, efficiency, and capacity to represent stage and tidal variations in a very compact way and thus represents a new means for understanding tidal rivers.

show abstract

The Propagation of Tides up Rivers With Special Considerations on the Upper Saint Lawrence River

Cited by 171 publications

References 0 publications

Differences between mean tide level and mean sea level

Differences between mean tide level and mean sea level

Frictional interactions between tidal constituents in tide-dominated estuaries

Temporal and spatial variability of tidal‐fluvial dynamics in the St. Lawrence fluvial estuary: An application of nonstationary tidal harmonic analysis

Contact Info

Product

Resources

About