Irregular‐Grid Finite‐Difference Simulation of Lake Geneva Surge
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 10
Abstract
Combining the neat representation of boundary geometry by finite‐element models with the advantage of fast numerical solution in finite‐difference models, an irregular‐grid finite‐difference model is developed to solve the hydrodynamic equations for a homogeneous shallow lake. With a coarse irregular grid consisting of only 52 points the model is used to simulate storm surges on Lake Geneva during a sixty‐hour episode of strong north‐easterly winds. The simulation results are compared with the actual water level observations.
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References
1.
Bauer, S. W., “Three‐Dimensional Irregular‐Grid Finite Difference Model of Wind Induced Water Level Fluctuations and Currents in a Homogeneous Lake with Applications to Lake Geneva,” Communication du Laboratoire d'Hydraulique, Report No. 41, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1979.
2.
Bauer, S. W., “Three‐Dimensional Simulation of Time‐Dependent Elevations and Currents in a Homogeneous Lake of Arbitrary Shape Using an Irregular‐Grid Finite‐Difference Model,” Hydrodynamics of Lakes, W. H. Graf and C. H. Mortimer, eds., Developments in Water Science, Vol. 11, Elsevier Scientific Publishing Company, Amsterdam, Holland, 1979, pp. 51–63.
3.
Bauer, S. W., “Simulation of Lake Geneva Seiches by Irregular‐Grid Finite‐Difference Model,” Proceedings, 3rd International Conference on Applied Mathematical Modelling, Hamburg, Germany, Oct. 6–10, 1980.
4.
Bauer, S. W., Bruschin, J., and Schneiter, L., “Bassin de Palagnedra, Crue du 7.08.1978, Etude Expérimentale et sur Modèle Mathématique,” Laboratoire d'Hydraulique, LHYDREP H‐317, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1980.
5.
Blumberg, A. F., “Numerical Tidal Model of Chesapeake Bay,” Journal of the Hydraulics Division, ASCE, Vol. 103, No. HY1, Proc. Paper 12661, Jan., 1977, pp. 1–10.
6.
Cheng, R. T., “Transient Three‐Dimensional Circulation of Lakes,” Journal of the Engineering Mechanics Division, ASCE, Vol. 103, No. EM1, Proc. Paper 12721, Feb., 1977, pp. 17–34.
7.
Donelan, M. A., “Are Aquatic Micrometeorologists Delivering the Goods or is the Over‐Water Drag Coefficient Far from Constant?,” Proceedings, Symposium on Modelling Transport Mechanisms in Oceans and Lakes, Manuscript Report Series No. 43, Canada Center of Inlandwaters, Burlington, Ontario, Canada, 1977.
8.
Forel, F. A., Le Léman. Monographie Limnologique, Vol. 2, F. Rouge, ed., Librairie de l'Université de Lausanne, Lausanne, Switzerland, 1895.
9.
Graf, W. H., Perrinjaquet, C., Bauer, S. W., Prost, J. P., and Girod, H., “Measuring on Lake Geneva (Le Léman),” Hydrodynamics of Lakes, W. H. Graf and C. H. Mortimer, eds., Developments in Water Science, Vol. 11, Elsevier Scientific Publishing Company, Amsterdam, Holland, 1979, pp. 123–147.
10.
Graf, W. H., and Prost, J. P., “The Aerodynamic Drag; Experiments on Lake Geneva,” Hydrodynamics of Lakes, W. H. Graf and C. H. Mortimer, eds., Developments in Water Science, Vol. 11, Elsevier Scientific Publishing Company, Amsterdam, Holland, 1979, pp. 303–312.
11.
Hansen, W., “Theorie zur Errechnung des Wasserstandes und der Strömungen in Randmeeren nebst Anwendungen,” Tellus, Vol. 8, Stockholm, Sweden, 1956, pp. 287–300.
12.
Liggett, J. A., “Cell Method for Computing Lake Circulation,” Journal of the Hydraulics Division, ASCE, Vol. 96, No. HY3, Proc. Paper 7152, Mar., 1970, pp. 725–743.
13.
Neumann, G., and Pierson, W. J., Principles of Physical Oceanography, Prentice Hall, Englewood Cliffs, N.J., 1966.
14.
Ramming, H. G., “A Nested North Sea Model with Fine Resolution in Shallow Coastal Rivers,” Proc. Soc. Roy. Sc. Liège, Series 6, Vol. 10, Liège, Belgium, 1976, pp. 9–26.
15.
Ramming, H. G., “The Dynamics of Shallow Lakes Subject to Wind, an Application to Lake Neusiedl, Austria,” Hydrodynamics of Lakes, W. H. Graf and C. H. Mortimer, eds., Developments in Water Science, Vol. 11, Elsevier Scientific Publishing Company, Amsterdam, Holland, 1979, pp. 65–75.
16.
Service Fédéral des Eaux, “Les Dénivellations du Lac Léman,” Département Fédéral des Postes et des Chemins de Fer, Report No. 40, Office Fédéral des Imprimés et du Matériel, Bern, Switzerland, 1954.
17.
Simons, T. J., “Development of Three‐Dimensional Numerical Models of the Great Lakes,” Scientific Series No. 12, Canada Center of Inland Waters, Burlington, Ontario, Canada, 1973.
18.
Sündermann, J., “Ein Vergleich zwischen der analytischen und der numerischen Berechnung winderzeugter Strömungen und und Wasserstände in einem Modellmeer mit Anwendungen auf die Nordsee,” Mitteilungen des Instituts für Meereskunde der Universität Hamburg Nr. 4, Universität Hamburg, Hamburg, Germany, 1966.
19.
Sündermann, J., “Numerical Modelling of Circulation in Lakes,” Hydrodynamics of Lakes, W. H. Graf and C. H. Mortimer, eds., Developments in Water Science, Vol. 11, Elsevier Scientific Publishing Company, Amsterdam, Holland, 1979, pp. 1–29.
20.
Thacker, W. C., “Irregular‐Grid Finite‐Difference Techniques: Simulation of Oscillations in Shallow Circular Basins,” Journal Physical Oceanography, Vol. 7, No. 2, Mar., 1977, pp. 284–292.
21.
Thacker, W. C., “Reply,” Journal Physical Oceanography, Vol. 7, No. 6, Nov., 1977, pp. 933–934.
22.
Thacker, W. C., “Comparison of Finite‐Element and Finite‐Difference Schemes, Part 1: One‐Dimensional Wave Motion,” Journal Physical Oceanography, Vol. 8, No. 4, July, 1978, pp. 676–679.
23.
Thacker, W. C., “Comparison of Finite‐Element and Finite‐Difference Schemes, Part 2: Two‐Dimensional Wave Motion,” Journal Physical Oceanography, Vol. 8, No. 4, July, 1978, pp. 680–689.
24.
Thacker, W. C., “Irregular‐Grid Finite‐Difference Techniques for Storm Surge Calculations for Curving Coastlines,” Marine Forecasting, J. C. J. Nihoul, ed., Elsevier Oceanographic Series, Vol. 25, Elsevier Scientific Publishing Company, Amsterdam, Holland, 1979.
25.
Young, F. D. L., and Liggett, J. A., “Transient Finite Element Shallow Lake Circulation,” Journal of the Hydraulics Division, ASCE, Vol. 104, No. HY2, Proc. Paper 12741, Feb., 1977, pp. 109–121.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 109 • Issue 10 • October 1983
Pages: 1285 - 1297
Copyright
Copyright © 1983 ASCE.
History
Published online: Oct 1, 1983
Published in print: Oct 1983
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