TECHNICAL PAPERS
Dec 4, 2010

Efficient Implicit Finite-Element Hydrodynamic Model for Dam and Levee Breach

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 9

Abstract

This technical paper presents the development and application of a pseudo-transient continuation (PTC)– inspired flow model for the simulation of dam and levee failure. The unstructured, implicit, Petrov-Galerkin finite-element model relies on computed residuals to automatically adjust the time-step size. The implicit time integration, together with the automatic time-step size selection through PTC, makes the model computationally efficient. The model is verified and applied to several analytic and real-world test cases that exercise model behavior and accuracy for several critical, transcritical, and subcritical flows. The result is an efficient and accurate prediction of both the speed and depth of shock waves as the dam-break flow passes over initially dry and wet land.

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Acknowledgments

The results presented in this paper were obtained through research sponsored by the U.S. Army Corps of Engineers Systemwide Water Resources Program (SWWRP). Permission was granted by the Chief of Engineers to publish this information.
The authors also acknowledge Mr. Dirk Schwanenberg for providing the Malpasset dam-break bathymetric and observational data.

References

Alcrudo, F., and Garcia-Navarro, P. (1993). “A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations.” Int. J. Numer. Methods Fluids, 16, 489–505.
Berger, R. C. (1993). “A finite element scheme for shock capturing.” Technical Rep. HL-93-12, U.S. Army Engrs. Waterways Experiment Station.
Berger, R. C. (1997). HIVEL 2D v2.0 users manual, U.S. Army Engrs. Waterways Experiment Station, Vicksburg, MS.
Brufau, P., and Garcia-Navarro, P. (2000). “Two-dimensional dam break flow simulation.” Int. J. Numer. Methods Fluids, 33(1), 35–57.
Bucker, H. M., Pollul, B., and Rasch, A. (2006). On CFL evolution strategies for implicit upwind methods in linearized Euler equations, RWTH Aachen Univ., Aachen, Germany.
Bucker, H. M., Pollul, B., and Rasch, A. (2009). “On CFL evolution strategies for implicit upwind methods in linearized Euler equations.” Int. J. Numer. Methods Fluids, 59(1), 1–18.
Caleffi, V., Valiani, A., and Zanni, A. (2003). “Finite volume method for simulating extreme flood events in natural channels.” J. Hydraul. Res., 41(2), 167–177.
Choi, B. Y., Iskandrani, M., Levin, J., and Haidvogel, D. B. (2004). “A spectral finite-volume method for shallow water equations.” Mon. Weather Rev., 132(7), 1777–1791.
Coffey, T. S., Kelley, C. T., and Keyes, D. E. (2004). “Pseudotransient continuation and differential-algebraic equations.” J. Sci. Comput., 25(2), 553–569.
Erpicum, S., Dewals, B. J., Archambeau, P., and Pirotton, M. (2010). “Dam break flow computation based on an efficient flux vector splitting.” J. Comput. Appl. Math., 234(7), 2143–2151.
Kelley, C. T., and Keyes, D. E. (1998). “Convergence analysis of pseudo-transient continuation.” J. Numer. Anal., 35(2), 508–523.
Gear, C. W. (1971). Numerical initial value problems in ordinary differential equations, Prentice Hall, Englewood Cliffs, NJ.
MacDonald, I. (1996). “Analysis and computation of steady open channel flow.” Ph.D. thesis, Univ. of Reading, Berkshire, UK.
Mulder, W. A., and van Leer, B. (1985). “Experiments with implicit upwind methods for the Euler equation.” J. Comput. Phys., 59, 232–246.
Sarma, A. P., and Saikia, D. S. (2006). “Dam break hydraulics in natural rivers.” Proc., World Environmental and Water Resources Congress, Examining the Confluence of Environmental and Water Concerns, ASCE, Reston, VA.
Schwanenberg, D., and Harms, M. (2004). “Discontinuous Galerkin finite-element method for transcritical two-dimensional shallow water flows.” J. Hydraul. Eng., 130(5), 412–421.
Tate, J. N., Berger, R. C., and Stockstill, R. L. (2006). “Refinement indicator for mesh adaption in shallow-water modeling.” J. Hydraul. Eng., 132(8), 854–857.
Turan, B., and Wang, K-H. (2007). “Flood and shock waves simulation by using finite volume technique on unstructured meshes.” Proc., World Environmental and Water Resources Congress 2007: Restoring Our Natural Habitat, ASCE, Reston, VA.
U.S. Army Engrs. Waterways Experiment Station (USAE-WES). (1960). “Floods resulting from suddenly breached dams: Conditions of minimum resistance.” Paper 2–237, Rep. 1, Vicksburg, MS.
U.S. Army Engrs. Waterways Experiment Station (USAE-WES). (1961). “Floods resulting from suddenly breached dams: Conditions of maximum resistance.” Paper 2–374, Rep. 2, Vicksburg, MS.
Valiani, A., Caleffi, V., and Zanni, A. (2002). “Case study: Malpasset dam-break simulation using a two-dimensional finite volume method.” J. Hydraul. Eng., 128(5), 460–472.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 9September 2011
Pages: 1005 - 1018

History

Received: May 23, 2010
Accepted: Nov 30, 2010
Published online: Dec 4, 2010
Published in print: Sep 1, 2011

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Authors

Affiliations

Gaurav Savant [email protected]
Research Water Resources Engineer, Dynamic Solutions LLC and Onsite Contractor, Engineer Research and Development Center, U.S. Army Corps of Engineers, Vicksburg, MS 39180 (corresponding author). E-mail: [email protected]
Charlie Berger [email protected]
Research Hydraulic Engineer, Engineer Research and Development Center, U.S. Army Corps of Engineers, Vicksburg, MS 39180. E-mail: [email protected]
Tate O. McAlpin [email protected]
Research Physicist, Engineer Research and Development Center, U.S. Army Corps of Engineers, Vicksburg, MS 39180. E-mail: [email protected]
Jennifer N. Tate [email protected]
Research Hydraulic Engineer, Engineer Research and Development Center, U.S. Army Corps of Engineers, Vicksburg, MS 39180. E-mail: [email protected]

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