TECHNICAL PAPERS
Aug 1, 2008

Diffusive Modeling of Aggradation and Degradation in Artificial Channels

Publication: Journal of Hydraulic Engineering
Volume 134, Issue 8

Abstract

The unsteady flow and solid transport simulation problem in artificial channels is solved using a three-equation model, coupled with a local erosion law. The three equations are the water mass and momentum balance equations, as well as the total solid load balance equation. It is shown that even during severe hydrological events inertial terms can be neglected in the momentum equation without any substantial change in the solution sought. Empirical equilibrium formulas were used to estimate the solid load as a function of the flow variables. Local erosion, due to the scour generated at the jump between two channels connected at different bottom elevations, was estimated adapting a literature formulation. The double order approximation time and space marching scheme, previously proposed for the solution of the unsteady flow problem in the fixed-bed case, is applied to the solution of the new system. The model was validated with both literature and new laboratory experimental data. No parameter calibration was used to fit the computed results to the experimental ones.

Get full access to this article

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

Acknowledgments

The writers are grateful to Professor F. Calomino, Dr. A. Miglio, and Dr. R. Gaudio, from the Dept. of Soil Conservation of the University of Calabria, for their major contribution to organizing, supporting, and running the experiments at the Hydraulic Models Laboratory of the University of Calabria.

References

Ackers, P. (1984). “Sediment transport in sewer and the design implications.” Proc., Int. Conf. on Planning, Construction, Maintenance and Operation of Sewerage Systems, Reading, England, BHRA, Cranfield, U.K., 215–230.
Ackers, P., and White, W. R. (1973). “Sediment transport: New approach and analysis.” J. Hydr. Div., 99(11), 2041–2060.
Aricò, C. (2004). “Solid transport simulation in channel networks.” Ph.D. dissertation, Dept. of Hydraulic Engineering and Environmental Applications, Univ. of Palermo, Palermo, Italy.
Aricò, C., Miglio, A., and Tucciarelli, T. (2004). “Simulazioni di correnti in moto vario su alveo a fondo mobile mediante l’utilizzo di un modello diffusivo e formule di trasporto solido fisicamente basate.” Proc., 29th Convegno di Idraulica e Costruzioni Idrauliche, Trento, Italy, Bios, Castrolibero (CS), Italy, 757–764 (in Italian).
Aricò, C., and Tucciarelli, T. (2006) “MAST solution of advection problems in irrotational flow fields.” Adv. Water Resour., 30(3), 665–685.
Armanini, A., and Di Silvio, G. (1988). “A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions.” J. Hydraul. Res., 26(3), 275–292.
Bascià, A., and Tucciarelli, T. (2004). “An explicit unconditionally stable numerical solution of the advection problem in irrotational flow fields.” Water Resour. Res., 40(6), 1–18.
Bhallamudi, S. M., and Chaudhry, M. H. (1991). “Numerical modeling of aggradation and degradation in alluvial channels.” J. Hydraul. Eng., 117(9), 1145–1164.
Cao, Z., Day, R., and Egashira, S. (2002). “Coupled and decoupled numerical modelling of flow and morphological evolution in alluvial rivers.” J. Hydraul. Eng., 128(3), 306–321.
Capart, H., and Young, D. L. (1998). “Formation of a jump by the dam-break wave over a granular bed.” J. Fluid Mech., 372, 165–187.
Correia, L. R. P., Krishnappan, B. G., and Graf, W. H. (1992). “Fully coupled unsteady mobile boundary flow model.” J. Hydraul. Eng., 118(3), 476–494.
De Vries, M. (1973). “River bed variations—Aggradation and degradation.” Proc., Int. Seminar on Hydraulics on Alluvial Streams, New Delhi, India, Delft, Hydraulics Lab., The Netherlands, 1–10.
Henderson, F. M. (1966). Open channel flow, Macmillan, New York.
Hogg, A. J., Huppert, H. E., and Dade, W. B. (1997). “Erosion by planar turbulent wall jets.” J. Fluid Mech., 338, 317–340.
Holly, F. M., and Rahuel, J. L. (1990). “New numerical/physical framework for mobile-bed modelling. I: Numerical and physical principles.” J. Hydraul. Res., 28(4), 401–416.
Kassem, A. A., and Chaudhry, M. H. (1998). “Comparison of coupled and semicoupled numerical models for alluvial channels.” J. Hydraul. Eng., 124(8), 794–802.
Lyn, D. A. (1987). “Unsteady sediment transport modelling.” J. Hydraul. Eng., 113(1), 1–15.
Lyn, D. A., and Altinakar, M. (2002). “St. Venant equations for near critical and transcritical flows.” J. Hydraul. Eng., 128(6), 579–587.
Lyn, D. A., and Goodwin, P. (1987). “Stability of a general Preissman scheme.” J. Hydraul. Eng., 113(1), 16–28.
Morris, P. H., and Williams, D. J. (1996). “Relative celerities of mobile bed flows with finite solids concentrations.” J. Hydraul. Eng., 122(6), 311–315.
Nasello, C., and Tucciarelli, T. (2005). “A dual multi-level urban drainage model.” J. Hydraul. Eng., 131(9), 743–747.
Noto, V., and Tucciarelli, T. (2001). “DORA algorithm for network flow models with improved stability and convergence properties.” J. Hydraul. Eng., 127(5), 380–391.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1988). Numerical recipes, Cambridge University Press, Cambridge, U.K.
Rahuel, J. L., Holly, F. M., Chollet, J. P., Belleudy, P., and Yang, G. (1989). “Modelling of river bed evolution for bed load sediment mixtures.” J. Hydraul. Eng., 115(11), 1521–1542.
Saiedi, S. (1997). “Coupled modelling of alluvial flows.” J. Hydraul. Eng., 123(5), 440–446.
Soni, J. P., Garde, R. J., and Raju, K. G. (1980). “Aggradation in streams due to overloading.” J. Hydr. Div., 106(1), 117–137.
Strelkoff, T., and Katopodes, N. (1977). “End depth under zero-inertia conditions.” J. Hydr. Div., 103(7), 699–711.
Tucciarelli, T., and Fedele, F. (2000). “An efficient double order solution of the groundwater contaminant transport problem.” Proc., 13th Int. Conf. on Computational Methods in Water Research, L. R. Bentley, J. F. Sykes, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Calgary, Alta., Canada, 417–422.
Tucciarelli, T., and Termini, D. (2000). “Finite-element modelling of floodplain flows.” J. Hydraul. Eng., 126(6), 416–424.
Wu, W. (2004). “Depth-averaged two-dimensional numerical modelling of unsteady flow and nonuniform sediment transport in open channels.” J. Hydraul. Eng., 130(10), 1013–1024.
Wu, W., Vieira, D. A., and Wang, S. S. Y. (2004). “One-dimensional numerical model for nonuniform sediment transport under unsteady flows in channel networks.” J. Hydraul. Eng., 130(9), 914–923.
Yen, B. C. (1987). “Urban drainage hydraulic and hydrology: From art to science.” Proc., 4th Int. Conf. On Urban Storm Drainage, W. Gujer and V. Krejei, eds., Lausanne, Switzerland, 1–24.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 8August 2008
Pages: 1079 - 1088

History

Received: Jul 7, 2005
Accepted: Dec 13, 2007
Published online: Aug 1, 2008
Published in print: Aug 2008

Permissions

Request permissions for this article.

Authors

Affiliations

C. Aricò, Ph.D.
Ph.D. in Hydraulic Engineering. Dipt. di Ingegneria Idraulica ed Applicazioni Ambientali, Univ. di Palermo, Viale delle Scienze 90128, Palermo, Italy. E-mail: [email protected]
T. Tucciarelli
Professor, Dipt. di Ingegneria Idraulica ed Applicazioni Ambientali, Univ. di Palermo, Viale delle Scienze 90128, Palermo, Italy. E-mail: [email protected]

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