Skip to main content

The study of tidal systems: mathematical tidal models

  • Chapter
Hydraulic Behaviour of Estuaries

Abstract

Various analytical, numerical and simulation techniques are available for use in predicting the effects of engineering works on estuarine regimen. They may generally be divided into two types.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Owen, M. W. and Odd, N. V. M., A mathematical model of the effect of a tidal barrier on siltation in an estuary, Int. Conf. Utilization Tidal Power, Atlantic Ind. Res. Inst., Halifax, Nova Scotia (1970)

    Google Scholar 

  2. Chang, F. F. M. and Richards, D. L., Deposition of sediment in transient flow, J. Hyd. Div. Proc. ASCE, 97, HY6, June (1971)

    Google Scholar 

  3. Ippen, A. T. and Harleman, D. R. F., Two-dimensional aspects of salinity intrusion in estuaries: analysis and velocity distributions, Comm. on Tidal Hyd., Corps of Eng. US Army Tech. Bull., no. 13 (1967)

    Google Scholar 

  4. Johns, B., Tidal flow and mass transport in a slowly converging estuary, Geo. J. Roy. Ast. Soc., 13 (1967)

    Google Scholar 

  5. McGregor, R. C., The influence of topography and pressure gradients on shoaling in a tidal estuary, Geo. J. Roy. Ast. Soc., 25 (1971)

    Google Scholar 

  6. Heaps, N. S., On the numerical solution of the three-dimensional hydrodynamic equations for tides and storm surges, Mem. Soc. R. Sci., Liège, Ser. 6, 1 (1971)

    Google Scholar 

  7. Lamb, H., Hydrodynamics, 6th ed., Cambridge University Press (1932)

    Google Scholar 

  8. Pillsbury, G. Tidal Hydraulics, Corps of Engineers, US Army Tech. Bull. Vicksburg, Miss. (1956)

    Google Scholar 

  9. Hunt, J. N., Tidal oscillations in estuaries, Geo. J. Roy. Ast. Soc., 8 (1964)

    Google Scholar 

  10. Ippen, A. T. and Harleman, D. R. F., Investigation of influence of proposed international Passamaquoddy tidal project on tides in the Bay of Fundy, Rep. to New England Div. Corps of Eng., Boston, July (1958)

    Google Scholar 

  11. Harleman, D. R. F., Estuary and coastline hydrodynamics, Ch. 10, McGraw-Hill Book Co. Ltd. (1966)

    Google Scholar 

  12. Dronkers, J. J. and Schönfeld, J. C., Tidal computations in shallow water, Proc. ASCE, Paper 714, June (1955)

    Google Scholar 

  13. Abbott, M. B., An introduction to the method of characteristics, Thames and Hudson (1966)

    Google Scholar 

  14. Liggett, J. A. and Woolhiser, D. A., Difference solutions of the shallow-water equation, J. of Eng. Mech. Div. Proc. ASCE, 93, EM2, April (1967)

    Google Scholar 

  15. Ellis, J., Unsteady flow in channel of variable cross-section, J. Hyd. Div. ASCE, 96, HY10, October (1970)

    Google Scholar 

  16. Burke, C., The distribution of velocity in tidal flows (Mersey Estuary), M. Eng. Thesis, Liverpool University, August (1966)

    Google Scholar 

  17. Rossiter, J. R. and Lennon, G. W., Computation of tidal conditions in the Thames Estuary by the initial value method, Proc. Inst. Civil Eng., 31, May (1963)

    Google Scholar 

  18. Dronkers, J. J., Tidal computations for rivers, coastal areas and seas, J. Hyd. Div. Proc. ASCE., 95, HY1, January (1969)

    Google Scholar 

  19. Leendertse, J. J., A water quality simulation model for well mixed estuaries and coastal seas, 1, Memo RM-6230-RC, The Rand Corporation, Feb. (1970)

    Google Scholar 

  20. Kamphuis, J. W., Mathematical tidal study of the St. Lawrence River, J. Hyd. Div. Proc. ASCE, 96, no. HY3 (1970)

    Google Scholar 

  21. Henderson, F. M., Open Channel flow, Macmillan, New York (1966)

    Google Scholar 

  22. McDowell, D. M. and Prandle, D., Mathematical model of River Hooghly, J. Water and Harbour and Coastal Eng. Div. ASCE, 98, WW2, May (1972)

    Google Scholar 

  23. Ball, D. J. and McDowell, D. M., The dynamic simulation of unsteady frictional flow in tidal estuaries, Proc. Inst. Civil Eng., 50, October (1971)

    Google Scholar 

  24. Abraham, G., Horizontal jets in stagnant fluid of other density, J. Hyd. Div. ASCE, 91, HY4, July (1965)

    Google Scholar 

  25. Otter, J. R. H. and Day, A. S., Tidal flow computations, Engineer, 209, Jan. (1960)

    Google Scholar 

  26. Farraday, R. V., O’Connor, B. A. and Smith, I. M., A two-dimensional finite-element model for partially-mixed estuaries, Proc. 16th Cong. IAHR, Paper C 35, 3, Sao Paulo, Brazil (1975)

    Google Scholar 

  27. Sediment transportation mechanics; F.: Hydraulic relations for alluvial streams, J. Hyd. Div. ASCE, 97, HY1, January (1971)

    Google Scholar 

  28. Taylor, C. and Davis, J., Finite element numerical modelling of flow and dispersion in estuaries, IAHR Int. Sym. on River Mechanics, Paper C 39, 3, Bangkok, January (1973)

    Google Scholar 

  29. Grubert, J. P. and Abbott, M. B., Numerical computations of stratified nearly horizontal flows, J. Hyd. Div. ASCE, 98, HY10, October (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Copyright information

© 1977 D. M. McDowell and B. A. O’Connor

About this chapter

Cite this chapter

McDowell, D.M., O’Connor, B.A. (1977). The study of tidal systems: mathematical tidal models. In: Hydraulic Behaviour of Estuaries. Civil Engineering Hydraulics Series. Palgrave, London. https://doi.org/10.1007/978-1-349-01118-6_6

Download citation

Publish with us

Policies and ethics