2D Multilevel Model for Flood Wave Propagation in Flood-Affected Areas
Publication: Journal of Water Resources Planning and Management
Volume 124, Issue 4
Abstract
A hyperbolic model for the simulation of flood wave propagation on initially dry land is presented. The convective inertia terms are neglected in the momentum equations. This assumption allows the use of a finite element scheme with linear shape functions for the free surface elevations and constant unit discharges inside each element. An appropriate use of the explicit and implicit approximation of the spatial derivatives is able to avoid the introduction of internal boundaries in the case of vertical discontinuities of the terrain elevation. This is obtained without losing the desirable features of the system matrix or limiting the maximum Courant number. The efficiency and the reliability of the proposed method are investigated for a flood in the south of Sicily, Italy, where a detailed description of the ground morphology has been proved to be essential for obtaining a good match between measured and computed maximum water depths.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Akanby, A., and Katopodes, N.(1988). “Model for flood propagation on initially dry land.”J. Hydr. Engrg., ASCE, 114(7), 689–706.
2.
Connor, J. J., and Brebbia, C. A. (1976). Finite element techniques for fluid flow. Newnes-Butterworths, London, U.K.
3.
Cooley, R. L., and Moin, S. A.(1976). “Finite element solution of Saint-Venant equations.”J. Hydr. Engrg., ASCE, 102(6), 759–775.
4.
Defina, A., D'Alpaos, L., and Matticchio, B. (1994). “A new set of equations for very shallow water and partially dry area suitable to 2D numerical models.”Proc., Modelling of Flood Propagation Over Initially Dry Areas, 72–81.
5.
Di Lorenzo, M. (1994). “Un modello afflussi-deflussi per lo studio delle piene del fiume Salso a Drasi,” MS thesis, Istituto di Idraulica dell'Università di Palermo, Italy (in Italian).
6.
Goodrich, D. C., Woolhiser, D. A., and Keefer, T. O.(1991). “Kinematic routing using finite elements on a triangular irregular network.”Water Resour. Res., 27(6), 995–1003.
7.
Gottardi, G., and Venutelli, M.(1993). “A control-volume finite-element for two dimensional overland flow.”Adv. Water Resour., 16(5), 277–284.
8.
Guymon, G. L., Khan, M. N., Collins, M., and Hromadka, T. V.(1994). “Diffusion hydrodynamic model of shallow estuary.”J. Water Resour. Plng. and Mgmt., ASCE, 120(2), 253–266.
9.
Huyakorn, P. S., and Pinder, G. F. (1983). Computational methods in subsurface flow. Academic Press, Inc., London.
10.
Katopodes, N.(1984). “A dissipative Galerkin scheme for open-channel flow.”J. Hydr. Engrg., ASCE, 110(4), 451–466.
11.
Katopodes, N., and Strelkoff, T.(1978). “Computing two-dimensional dam-break flood waves.”J. Hydr. Engrg., ASCE, 104(9), 1269–1288.
12.
Kuniansky, E. L., and Lowther, R. A.(1993). “Finite-element mesh generation from mappable features.”Int. J. Geographical Information Sys., 7(5), 395–405.
13.
Labadie, G. (1992). “Flood waves and flooding models.”Pre-Proc., NATO-ASI on Coping with Floods, 1–45.
14.
Narasimhan, T. N., and Witherspoon, P. A.(1976). “An integrated finite difference method for analyzing fluid flow in porous media.”Water Resour. Res., 12(1), 57–64.
15.
Natale, L., and Savi, F. (1991). “Espansione di onde di sommersione su terreno inizialmente asciutto.”Idrotecnica, 6, 397–406 (in Italian).
16.
Strelkoff, T., and Katopodes, N.(1977). “End depth under zero-inertia conditions.”J. Hydr. Engrg., ASCE, 103(7), 699–711.
17.
Szymkiewicz, R.(1993). “Oscillation-free solution of shallow water equations for nonstaggered grid.”J. Hydr. Engrg., ASCE, 119(10), 1118–1137.
18.
Todini, E., and Venutelli, M. (1988). “Overland flow: A two-dimensional modelling approach.”Proc., NATO-ASI Recent Adv. in the Modelling of Hydrologic Sys., 153–166.
19.
Tucciarelli, T., Aronica, G., and La Loggia, G. (1995). “Studio della propagazione delle onde di piena su alveo inizialmente asciutto.”Idrotecnica, 5, 299–306 (in Italian).
20.
Zienkiewicz, O. C. (1971). The finite element in engineering science. McGraw-Hill Book Co., Inc., London, U.K.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 124 • Issue 4 • July 1998
Pages: 210 - 217
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jul 1, 1998
Published in print: Jul 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.