TECHNICAL PAPERS
Apr 1, 2001

Modeling Looped Ratings in Muskingum-Cunge Routing

Publication: Journal of Hydrologic Engineering
Volume 6, Issue 2

Abstract

The Muskingum-Cunge flood routing model is extended to the realm of looped ratings. This is accomplished by reformulating the conventional four-point model to use the local water surface slope and the Vedernikov number in the expression for hydraulic diffusivity. The developed model was successful in generating looped ratings under a wide range of kinematic/diffusive unsteady flow conditions. Numerical experiments were used to test the looped-rating Muskingum-Cunge model. Resolution level, flood wave period, baseflow, and peak-inflow/baseflow ratio were varied to determine loop thickness and percentage mass conservation. Comparison of the looped-rating Muskingum-Cunge model with a dynamic wave model (a complete solution of the St. Venant equations) showed that both models are capable of generating looped ratings and outflow hydrographs of comparable accuracy.

Get full access to this article

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

References

1.
Abbott, M. A. (1976). “Computational hydraulics: A short pathology.”J. Hydr. Res., Delft, The Netherlands, 14(4), 271–285.
2.
Chow, V. T. ( 1959). Open-channel hydraulics, McGraw-Hill, New York.
3.
Craya, A. ( 1952). “The criterion for the possibility of roll-wave formation.” Gravity Waves: Circular No. 521, National Bureau of Standards, Washington, D.C., 141–151.
4.
Cunge, J. A. (1969). “On the subject of a flood propagation computation method (Muskingum method).”J. Hydr. Res., Delft, The Netherlands, 7(2), 205–230.
5.
Dooge, J. C. I. ( 1973). “Linear theory of hydrologic systems.” USDA Tech. Bull. 1468, U.S. Department of Agriculture, Washington, D.C.
6.
Dooge, J. C. I., Strupczewski, W. B., and Napiorkowski, J. J. ( 1982). “Hydrodynamic derivation of storage parameters of the Muskingum model.” J. Hydro., Amsterdam, 54, 371–387.
7.
Fread, D. ( 1993). “Chapter 10: Flow routing.” Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill, New York.
8.
Hayami, S. ( 1951). “On the propagation of flood waves.” Disaster Prevention: Res. Inst. of Kyoto Univ. Bull., Japan, 1, 1–16.
9.
HEC-1: Flood hydrograph package—User's manual, Version 4. (1990). U.S. Army Corps of Engineers, Hydrologic Engineering Center, Davis, Calif.
10.
Liggett, J. A. ( 1975). “Chapter 2: Basic equations of unsteady flow.” Unsteady flow in open channels, Vol. 1, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Littleton, Colo.
11.
Liggett, J. A., and Cunge, J. A. ( 1975). “Chapter 4: Numerical methods of solution of the unsteady flow equations.” Unsteady flow in open channels, Vol. 1, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Littleton, Colo.
12.
Lighthill, M. J., and Whitham, G. B. ( 1955). “On kinematic waves. I. Flood movement in long rivers.” Proc., Royal Soc., London, 229(Ser. A), 281–316.
13.
O'Brien, G. G., Hyman, M. A., and Kaplan, S. ( 1951). “A study of the numerical solution of partial differential equations.” J. Mathematics and Phys., 29(4), 233–251.
14.
Ponce, V. M. ( 1982). DIFF/DYNA user's manual, Department of Civil Engineering, San Diego State University, San Diego.
15.
Ponce, V. M. (1986). “Diffusion wave modeling of catchment dynamics.”J. Hydr. Engrg., ASCE, 112(8), 716–727.
16.
Ponce, V. M. ( 1991). “New perspective on the Vedernikov number.” Water Resour. Res., 27(7), 1777–1779.
17.
Ponce, V. M., and Chaganti, P. V. ( 1994). “Variable-parameter Muskingum-Cunge method revisited.” J. Hydro., Amsterdam, 162, 433–439.
18.
Ponce, V. M., Lohani, A. K., and Scheyhing, C. ( 1996). “Analytical verification of Muskingum-Cunge routing.” J. Hydro., Amsterdam, 174, 235–241.
19.
Ponce, V. M., Simons, D. B., and Indlekofer, H. (1978a). “Convergence of four-point implicit water wave models.”J. Hydr. Div., ASCE, 104(7), 947–958.
20.
Ponce, V. M., Simons, D. B., and Li, R.-M. (1978b). “Applicability of kinematic and diffusion models.”J. Hydr. Div., ASCE, 104(3), 353–360.
21.
Ponce, V. M., and Yevjevich, V. (1978). “Muskingum-Cunge method with variable parameters.”J. Hydr. Div., ASCE, 104(12), 1663–1667.
22.
Seddon, J. A. ( 1900). “River hydraulics.” Trans., ASCE, Reston, Va., 43, 179–229.
23.
Thomas, H. A. ( 1934). “The hydraulics of flood movements in rivers.” Engrg. Bull., Carnegie Institute of Technology, Pittsburgh.
24.
Vedernikov, V. V. ( 1945). “Conditions at the front of a translation wave disturbing a steady motion of a real fluid.” U.S.S.R. Acad. of Sci. Comptes Rendus (Doklady), 48(4), 239–242.
25.
Vedernikov, V. V. ( 1946). “Characteristic features of a liquid flow in an open channel.” U.S.S.R. Acad. of Sci. Comptes Rendus (Doklady), 52(3), 207–210.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 6Issue 2April 2001
Pages: 119 - 124

History

Published online: Apr 1, 2001
Published in print: Apr 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Members, ASCE
Prof., Civ. and Envir. Engrg. Dept., San Diego State Univ., San Diego, CA 92182-1324.
Sr. Hydr. Engr., Project Design Consultants, Inc., San Diego, CA.

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