TECHNICAL PAPERS
Jan 1, 2007

One-Dimensional Modeling of Dam-Break Flow over Movable Beds

This article has a reply.
VIEW THE REPLY
This article has a reply.
VIEW THE REPLY
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 1

Abstract

A one-dimensional model has been established to simulate the fluvial processes under dam-break flow over movable beds. The hydrodynamic model adopts the generalized shallow water equations, which consider the effects of sediment transport and bed change on the flow. The sediment model computes the nonequilibrium transport of bed load and suspended load. The effects of sediment concentration on sediment settling and entrainment are considered in determining the sediment settling velocity and transport capacity. In particular, a correction factor is proposed to modify the Van Rijn formulas of equilibrium bed-load transport rate and near-bed suspended-load concentration for the simulation of sediment transport under high-shear flow conditions. The governing equations are solved by an explicit finite-volume method with the first-order upwind scheme for intercell fluxes. The model has been tested in two experimental cases, with fairly good agreement between simulations and measurements. The sensitivities of the model results to parameters such as the sediment nonequilibrium adaptation length, Manning’s roughness coefficient and the proposed correction factor have been verified. The proposed model has also been compared to an existing model and the results indicate the new model is more reliable.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study is part of the research project sponsored by the USDA-ARS Specific Research Agreement No. 58-6408-2-0062 (monitored by the USDA-ARS National Sedimentation Laboratory) and the University of Mississippi.

References

Armanini, A., and Di Silvio, G. (1988). “A one-dimensional model for the transport of a sediment mixture in nonequilibrium conditions.” J. Hydraul. Res., 26(3), 275–292
Cao, Z. (1999). “Equilibrium near-bed concentration of suspended sediment.” J. Hydraul. Eng., 125(12), 1270–1278.
Cao, Z., Pender, G., Wallis, S., and Carling, P. (2004). “Computational dam-break hydraulics over erodible sediment bed.” J. Hydraul. Eng., 130(7), 689–703.
Capart, H., and Young, D. L. (1998). “Formation of jump by the dam-break wave over a granular bed.” J. Fluid Mech., 372, 165–187.
Delis, A. I., and Skeels, C. P. (1998). “TVD schemes for open channel flow.” Int. J. Numer. Methods Fluids, 26, 791–809.
Fennema, R. J., and Chaudhry, M. H. (1990). “Explicit methods for 2D transient free-surface flows.” J. Hydraul. Eng., 116(8), 1013–1034.
Ferreira, R., and Leal, J. (1998). “1D mathematical modeling of the instantaneous dam-break flood wave over mobile bed: Application of TVD and flux-splitting schemes.” Proc., European Concerted Action on Dam-Break Modeling, Munich, 175–222.
Fraccarollo, L., and Armanini, A. (1998). “A semianalytical solution for the dam-break problem over a movable bed.” Proc., European Concerted Action on Dam-Break Modeling, Munich, 145–152.
Fraccarollo, L., and Capart, H. (2002). “Riemann wave description of erosional dam-break flows.” J. Fluid Mech., 461, 183–228.
Garcia-Navarro, P., Alcrudo, F., and Saviron, J. M. (1992). “1D open-channel flow simulation using TVD–McCormack scheme.” J. Hydraul. Eng., 118(10), 1359–1372.
Godunov, S. K. (1959). “Finite-difference methods for the computation of discontinuous solutions of the equations of fluid dynamics.” Mat. Sb., 47(3), 271–306.
Harten, A. (1983). “A high-resolution scheme for the computation of weak solutions of hyperbolic conservation laws.” J. Comput. Phys., 49, 357–393.
Harten, A., Lax, P. D., and van Leer, B. (1983). “On upstream differencing and Godunov-type schemes for hyperbolic conservation laws.” SIAM Rev., 25(1), 35–61.
Komura, S. (1963). “Discussion of ‘Sediment transportation mechanics: Introduction and properties of sediment,’ progress report by the Task Committee on Preparation of Sedimentation Manual of the Committee on Sedimentation of the Hydraulics Division.” J. Hydr. Div. 89(1), 236–266.
Lin, B. (1984). “Current study of unsteady transport of sediment in China.” Proc., Japan–China Bilateral Seminar on River Hydraulics and Engineering Experiences, Tokyo–Kyoto–Saporo, Japan, 337–342.
Molls, T., and Chaudhry, M. H. (1995). “Depth-averaged open-channel flow model.” J. Hydraul. Eng., 121(6), 453–465.
Osher, S., and Solomon, F. (1982). “Upwind difference schemes for hyperbolic conservation laws.” Math. Comput., 38, 339–374.
Richardson, J. F., and Zaki, W. N. (1954). “Sedimentation and fluidization. Part I.” Trans. Inst. Chem. Eng., 32(1), 35–53.
Roe, P. L. (1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43, 357–372.
Toro, E. F. (1997). Riemann solvers and numerical methods for fluid dynamics, Springer, Berlin.
Toro, E. F. (2001). Shock-capturing methods for free-surface shallow flows, Wiley, Chichester, U.K.
Toro, E. F., Spruce, M., and Speares, W. (1994). “Restoration of the contact surface in the HLL–Riemann solver.” Shock Waves, 4, 25–34.
Van Rijn, L. C. (1984a). “Sediment transport. Part I: Bed load transport.” J. Hydraul. Eng., 110(10), 1431–1456.
Van Rijn, L. C. (1984b). “Sediment transport. Part II: Suspended load transport.” J. Hydraul. Eng., 110(11), 1613–1641.
Wang, J. S., Ni, H. G., and He, Y. S. (2000). “Finite-difference TVD scheme for computation of dam-break problems.” J. Hydraul. Eng., 126(4), 253–262.
Wu, W. (2004). “Depth-averaged 2D numerical modeling of unsteady flow and nonuniform sediment transport in open channels.” J. Hydraul. Eng., 130(10), 1013–1024.
Wu, W., and Wang, S. S. Y. (2006). “Formulas for sediment porosity and settling velocity,” J. Hydraul. Eng., 132(8), 858–862.
Wu, W., Vieira, D. A., and Wang, S. S. Y. (2004). “1D numerical model for nonuniform sediment transport under unsteady flows in channel networks.” J. Hydraul. Eng., 130(9), 914–923.
Yee, H. C. (1987). “Construction of explicit and implicit symmetric TVD schemes and their applications.” J. Comput. Phys., 68, 151–179.
Yang, C. T., and Greimann, B. P. (1999). “Dambreak unsteady flow and sediment transport.” Proc., European Concerted Action on Dam-Break Modeling, Zaragoza, 327–365.
Ying, X., Khan, A. A., and Wang, S. S. Y. (2004). “Upwind conservative scheme for the Saint Venant equations.” J. Hydraul. Eng., 130(10), 977–987.
Zhang, R. J., and Xie, J. H. (1993). Sedimentation research in China, systematic selections, China Water and Power, Beijing.
Zhou, J., and Lin, B. (1998). “One-dimensional mathematical model for suspended sediment by lateral integration.” J. Hydraul. Eng., 124(7), 712–717.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 133Issue 1January 2007
Pages: 48 - 58

History

Received: Apr 22, 2005
Accepted: Nov 8, 2005
Published online: Jan 1, 2007
Published in print: Jan 2007

Permissions

Request permissions for this article.

Authors

Affiliations

Weiming Wu, M.ASCE [email protected]
Research Associate Professor, National Center for Computational Hydroscience and Engineering, Univ. of Mississippi, Carrier Hall 102, University, MS 38677. E-mail: [email protected]
Sam S. Wang, F.ASCE
F.A.P. Barnard Distinguished Professor, Director, National Center for Computational Hydroscience and Engineering, Univ. of Mississippi, Carrier Hall 102, University, MS 38677.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share