TECHNICAL PAPERS
Feb 1, 2001

Channel Routing in Open-Channel Flows with Surges

Publication: Journal of Hydraulic Engineering
Volume 127, Issue 2

Abstract

Using numerical models for the purpose of channel-routing calculation has been well accepted in engineering practice. However, most traditional models fail to predict the transcritical flows because of numerical instability. This paper presents two high-resolution, shock-capturing schemes for the simulation of 1D, rapidly varied open-channel flows. The present schemes incorporate the method of characteristics to deal with the unsteady boundary conditions. Also, the Strang-type splitting operator is used to include the effects of bottom slope and friction terms. To assess the performance of the proposed algorithms, several steady and unsteady problems are simulated to verify the accuracy and robustness in capturing strong shocks in open-channel flows. Furthermore, the results of dynamic flood routing and steady routing are compared to demonstrate the risk of using steady routing for flood mitigation.

Get full access to this article

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

References

1.
Bellos, C. V., Soulis, J. V., and Sakkas, J. G. (1992). “Experimental investigation of two-dimensional dam-break induced flow.”J. Hydr. Res., Delft, The Netherlands, 40(1), 47–63.
2.
de St. Venant, B. ( 1871). “Theorie du mouvement non-permanent des eaux avec application aux crues des rivers et a lintroduction des marees dans leur lit.” Acad. Sci. Comptes Redus, Paris, 73, 99, 148–154, 240–273 (in French).
3.
Fennema, R. J., and Chaudhry, M. H. (1987). “Simulation of one-dimensional dam-break flows.”J. Hydr. Res., Delft, The Netherlands, 25(1), 25–51.
4.
Fread, D. L. ( 1988). “The NWS DAMBRK model: Theoretical background and user documentation.” Rep. HRL-258, Hydrologic Res. Lab., National Weather Service, Silver Spring, Md.
5.
Garcia-Navarro, P., Alcrudo, F., and Saviron, J. M. (1992). “1-D open-channel flow simulation using TVD-McCormack scheme.”J. Hydr. Engrg., ASCE, 118(10), 1359–1372.
6.
Garcia-Navarro, P., and Saviron, J. M. (1992). “McCormack's method for the numerical simulation of one-dimensional discontinuous unsteady open channel flow.”J. Hydr. Res., Delft, The Netherlands, 30(1), 95–105.
7.
Glaister, P. (1988). “Approximate Riemann solutions of the shallow water equations.”J. Hydr. Res., Delft, The Netherlands, 26(3), 293–306.
8.
Harten, A. ( 1983). “High resolution schemes for hyperbolic conservation laws.” J. Comput. Phys., 49, 357–393.
9.
Harten, A., Engquist, B., Osher, S., and Chakravarthy, S. R. ( 1987). “Uniformly high order accurate essentially non-oscillatory schemes III.” J. Comput. Phys., 71, 231–303.
10.
Harten, A., and Osher, S. ( 1987). “Uniformly high-order accurate non-oscillatory schemes I.” SIAM J. Numer. Anal., 24(2), 279–309.
11.
Hsu, C. A. ( 1995). “Unsteady open-channel flow simulation using ENO schemes.” Proc., 3rd Nat. Conf. Comp. Fluid Dyn., Taiwan, 111–120.
12.
Jha, A. K., Akiyama, J., and Ura, M. (1996). “A fully conservative Beam and Warming scheme for transient open channel flows.”J. Hydr. Res., Delft, The Netherlands, 34(5), 605–621.
13.
Jin, M., and Fread, D. L. (1997). “Dynamic flood routing with explicit and implicit numerical solution schemes.”J. Hydr. Engrg., ASCE, 123(3), 166–173.
14.
Lax, P., and Wendroff, B. ( 1960). “Systems of conservation laws.” Com. on Pure and Appl. Math., 13, 217–237.
15.
MacCormack, R. W. ( 1969). “The effect of viscosity in hypervel impact cratering.” AIAA J., 69–354.
16.
Meselhe, E. A., Sotiropoulos, F., and Holly, F. M., Jr. (1997). “Numerical simulation of transcritical flow in open channels.”J. Hydr. Engrg., ASCE, 123(9), 774–783.
17.
Nujic, M. (1995). “Efficient implementation of non-oscillatory schemes for the computation of free-surface flows.”J. Hydr. Res., Delft, The Netherlands, 33(1), 101–111.
18.
Roe, P. L. ( 1981). “Appropriate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43, 357–372.
19.
Savic, L. J., and Holly, F. M., Jr. (1993). “Dambreak flood waves computed by modified Godunov method.”J. Hydr. Res., Delft, The Netherlands, 31(2), 187–204.
20.
Stoker, J. J. ( 1957). Water waves, Interscience Publishers, Wiley, New York.
21.
Strang, G. ( 1968). “On the construction and comparison of difference schemes.” SIAM, J. Numer. Anal., 5, 506–517.
22.
Tseng, M. H. ( 1999). “Verification of 1-D transcritical flow model in channels.” Proc., Nat. Sci. Council, Republic of China(A), 23(5), 654–664.
23.
Tseng, M. H., and Hsu, C. A. ( 1996). “Risk of steady flow simulation for flood routing.” Proc., Agr. Engrg. Conf., Taiwan, 193–200 (in Chinese).
24.
U.S. Army Corps of Engineers (USACE). ( 1960). “Flood resulting from suddenly breached dams.” Miscellaneous Paper, 2 (374), Rep. 1, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss.
25.
Van Leer, B. ( 1997). “Towards the ultimate conservative difference scheme, III.” J. Comput. Phys., 23, 263–275.
26.
Yang, J. Y., Hsu, C. A., and Chang, C. H. (1993). “Computation of free surface flows, Part 1. One-dimensional dam-break flow.”J. Hydr. Res., Delft, The Netherlands, 31(1), 19–34.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 127Issue 2February 2001
Pages: 115 - 122

History

Received: Aug 17, 1998
Published online: Feb 1, 2001
Published in print: Feb 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Assoc. Prof., Dept. of Information Mgmt., Ling Tung Coll., Taichung 408, Taiwan.
Res. Sci., Sinotech Engineering Consultants, Inc., Taiwan.
Prof., Dept. of Civ. Engrg., Nat. Central Univ., Taiwan.

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