TECHNICAL PAPERS
Aug 16, 2004

Numerical Modeling of Bed Deformation in Laboratory Channels

Publication: Journal of Hydraulic Engineering
Volume 130, Issue 9

Abstract

A depth-average model using a finite-volume method with boundary-fitted grids has been developed to calculate bed deformation in alluvial channels. The model system consists of an unsteady hydrodynamic module, a sediment transport module and a bed-deformation module. The hydrodynamic module is based on the two-dimensional shallow water equations. The sediment transport module is comprised of semiempirical models of suspended load and nonequilibrium bedload. The bed-deformation module is based on the mass balance for sediment. The secondary flow transport effects are taken into account by adjusting the dimensionless diffusivity coefficient in the depth-average version of the k-ε turbulence model. A quasi-three-dimensional flow approach is used to simulate the effect of secondary flows due to channel curvature on bed-load transport. The effects of bed slope on the rate and direction of bed-load transport are also taken into account. The developed model has been validated by computing the scour hole and the deposition dune produced by a jet discharged into a shallow pool with movable bed. Two further applications of the model are presented in which the bed deformation is calculated in curved alluvial channels under steady- and unsteady-flow conditions. The predictions are compared with data from laboratory measurements. Generally good agreement is obtained.

Get full access to this article

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

References

Casulli, V.(1990). “Semi-implicit finite difference methods for the two-dimensional shallow water equations.” J. Comput. Phys., 86, 56–74.
Cheng, R. T., Casulli, V., and Gartner, J. W.(1993). “Tidal, residual, intertidal mudflat (TRIM) model and its applications to San Francisco Bay.” Estuarine, Coastal Shelf Sci.,36, 235–280.
Cunge, J. A., and Rahuel, J. L. (1993). “One-dimensional models of sediment transport under the influence of currents.” Coastal, estuarial, and harbour engineer’s reference book, M. B. Abbott and W. A. Price, eds., E&FN Spon, London.
DHI. (1998). MIKE21C, user guide and scientific documentation, Danish Hydraulic Institute, Hørsholm, Denmark.
Ferziger, J. H., and Peric, M. (1996). Computational methods for fluid dynamics, Springer, Berlin.
Fischer, H. B., List, E. J., Koh, R. C. Y. Imberger, J., and Brooks, N. H. (1979). Mixing in inland and coastal waters, Academic, New York.
Flokstra, C. (1976). “Generation of two-dimensional horizontal secondary currents.” Rep. No. S163, Part II, Delft Hydraulics Laboratory, Delft, The Netherlands.
Graf, W. H. (1971). Hydraulics of sediment transport, McGraw-Hill, New York.
Jia, Y., and Wang, S. S. Y.(1999). “Numerical model for channel flow and morphological change studies.” J. Hydraul. Eng., 125(9), 924–933.
Lang, G. (1994). “HN-Verfahren TRIM-2D”, Supercomputing News, BAW-Aussenstelle Küste, Jg. 3, Heft 5, Hamburg, Germany, 10–20.
Langendoen, E. J. (2001). “Evaluation of the effectiveness of selected computer models of depth-average free surface flow and sediment transport to predict the effects of hydraulic structures on river morphology.” Rep., prepared for WES Vicksburg, National Sedimentation Laboratory, Agricultural Research Service, U.S. Department of Agriculture, Vicksburg, Miss.
Meyer-Peter, E., and Müller, R. (1948). “Formulas for bed-load transport.” International Association of Hydraulic Research IAHR, 2nd Meeting, Stockholm, Sweden.
Minh Duc, B., Wenka, T., and Rodi, W. (1996). “Depth-average numerical modelling of flow in curved open channels.” Proc., 11th Int. Conf. Computational Methods, Cancun, Mexico (CD-ROM).
Minh Duc, B. (1998). “Berechnung der Strömung und des Sedimenttransports in Flussläufen mit einem tiefengemittelten numerischen Verfahren.” Dissertation, Institut für Hydromechanik, Univ. Karlsruhe, Karlsruhe, Germany.
Minh Duc, B., Wenka, T., and Rodi, W. (1998). “Depth-averaged numerical modelling of flow and sediment transport in the Elbe River.” Proc., 3rd Int. Conf. on Hydroscience and Engineering, Cottbus/Berlin, Germany (CD-ROM).
Nakagawa, H., and Tsujimoto, T.(1980). “Sand bed instability due to bed-load motion.” J. Hydraul. Div., Am. Soc. Civ. Eng., 106(12), 2029–2051.
Odgaard, A. J.(1986). “Meander flow model. I: Development.” J. Hydraul. Eng., 112(12), 1117–1136.
Odgaard, A. J., and Bergs, M. A.(1988). “Flow processes in a curved alluvial channel.” Water Resour. Res., 24(1), 45–56.
Peltier, E., Duplex, J., Latteux, B., Pechon, P., and Chausson, P. (1991). “Finite element model for bed-load transport and morphological evolution.” Computer Modelling in Ocean Engineering 91, Arcilla et al., eds., Balkema, Rotterdam, The Netherlands.
Phillips, B. C., and Sutherland, A. J.(1989). “Spatial lag effects in bed load sediment transport.” J. Hydraul. Res., 27(1), 115–133.
Rodi, W. (1993). “Turbulence models and their applications in hydraulics.” IAHR Monograph, 3rd Ed., Balkema, Rotterdam, The Netherlands.
Schröder, M. (1996). “Dreidimensionale Strömungsvorgänge bei einer freibeweglichen Wasseroberfläche am Beispiel natürlicher Fließgewässer.” Mitteilungen des Lehrstuhls und Instituts für Wasserbau und Wasserwirtschaft der Rheinisch-Westfälischen Technischen Hochschule Aachen, Band 105.
Sekine, M., and Parker, G.(1992). “Bed-load transport on transverse slope. I.” J. Hydraul. Eng., 118(4), 513–535.
Spasojevic, M., and Holly, F. M., Jr. (1990). “2D bed evolution in natural watercourses—New simulation approach.” J. Waterw., Port, Coastal, Ocean Eng., 116(4), 425–443.
Struiksma, N., Olesen, K. W., Flokstra, C., and de Vriend, H. J.(1985). “Bed deformation in curved alluvial channels.” J. Hydraul. Eng., 23(1), 57–79.
Thuc, T. (1991). “Two-dimensional morphological computations near hydraulic structures.” Dissertation, Asian Institute of Technology, Bangkok, Thailand.
van Rijn, L. C. (1987). “Mathematical modelling of morphological processes in the case of suspended sediment transport.” Delft Hydraulics Communication No. 382., Delft Hydraulics Laboratory, Delft, The Netherlands.
Wenka, T., Valenta, P., and Rodi, W. (1991). “Depth-average calculation of flood flows in a river with irregular geometry.” Proc., 24th IAHR Congress, Madrid, Spain.
Wenka, T. (1992). “Numerische Berechnung von Strömungsvorgängen in naturnahen Flussläufen mit einem tiefengemittelten Modell.” Dissertation, Institut für Hydromechanik, Univ. Karlsruhe, Karlsruhe, Germany.
WL|Delft Hydraulics. (2002). “Grensproject Bovenrijn/Grenzprojekt Niederrhein—Investigation of individual engineering measures with 2D morphological model. I.” WL project Rep. Q2496, July, Delft Hydraulics Laboratory, Delft, The Netherlands.
Wu, W. (2001). “CCHE2D Sediment Transport Model (Version 2.1).” Tech. Rep. No. NCCHE-TR-2001-3, National Center for Computational Hydroscience and Engineering, Univ. of Mississippi, Ole Miss, Oxford, Miss.
Wu, W., and Wenka, T. (1998). “3D calculation of bed morphology in the case of bed load transport.” Proc., 3rd Int. Conf. on Hydroscience and Engineering, Cottbus/Berlin, Germany (CD-ROM).
Wu, W., Rodi, W., and Wenka, T.(2000). “3D numerical modeling of flow and sediment transport in open channels.” J. Hydraul. Eng., 126(1), 4–15.
Yen, C. L., and Lee, K. T.(1995). “Bed topography and sediment sorting in channel bend with unsteady flow.” J. Hydraul. Eng., 121(8), 591–599.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 130Issue 9September 2004
Pages: 894 - 904

History

Received: Jun 19, 2002
Accepted: Apr 12, 2004
Published online: Aug 16, 2004
Published in print: Sep 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Bui Minh Duc
Research Engineer, Institute for Hydromechanics (IfH), Univ. of Karlsruhe, D-7628 Karlsruhe, Germany.
Thomas Wenka
Senior Research Engineer, Federal Waterways Engineering and Research Institute (BAW), D-76187 Karlsruhe, Germany.
Wolfgang Rodi
Professor, Institute for Hydromechanics (IfH), Univ. of Karlsruhe, D-7628 Karlsruhe, Germany.

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