APPLICATION OF RELAXATION SCHEME TO WAVE-PROPAGATION SIMULATION IN OPEN-CHANNEL NETWORKS

Journal of Hydraulic Engineering

Volumn 124, Issue 11, 1998, Pages 1125-1133

  Aral, Mustafa M ^a   Zhang, Yi ^a   Jin, Shi ^b  

^a Georgia Institute of Technology   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPEN CHANNEL FLOW; WAVE PROPAGATION; ALGORITHMS; NUMERICAL ANALYSIS; RELAXATION PROCESSES; SHOCK WAVES;

CHANNEL NETWORK; JUNCTION FLOW; NONOSCILLATORY; OPEN CHANNELS; ORDER RELAXATION; RELAXATION SCHEMES; SAINT VENANT EQUATION; SECOND ORDERS; SHOCK-WAVES; WAVE PROPAGATION SIMULATION;

SHOCK WAVES; OPEN CHANNEL FLOW;

SAINT VENANT EQUATION;

CHANNEL FLOW; OPEN CHANNEL; WAVE PROPAGATION;

EID: 0032216204     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1998)124:11(1125)     Document Type: Article

References (36)

1. Abbott, M. B. (1979). Computational hydraulics: Elements of the theory of free surface flows. Pitman Publishing, Ltd., London.
2. Akan, A. O., and Yen, B. C. (1981). "Diffusion-wave flood routing in channel network." J. Hydr. Div., ASCE, 107(6), 719-723.
3. Alcrudo, R, Garcia-Navarro, P., and Saviron, J. M. (1992). "Flux difference splitting for ID open channel flow equations." Int. J. Numer. Methods in Fluids, Vol. 14, 1009-1018.
4. Aral, M. M., Zhang, Y., and Jin, S. (1996). "Numerical solution of open channel networks." Multimedia Environmental Simulations Laboratory, Rep. No. MESL-03-96, School of Civ. and Envir. Engrg., Georgia Tech., Atlanta, Ga., 59.
5. Barkau, R. L. (1985). "A mathematical model of unsteady flow through a dendritic network," PhD dissertation, Colorado State Univ., Fort Collins, Colo.
6. Barkau, R. L., Johnson, M. C, and Jackson, M. G. (1989). "UNET: A model of unsteady flow through a full network of open channels." Hydraulic Engineering: Proceedings of the National Conference on Hydraulic Engineering, ASCE, New York.
7. Chaudhry, M. H. (1993). Open-channel flow. Prentice-Hall, Englewood Cliffs, N.J.
8. Chen, Y. H. (1973). "Mathematical modeling of water and sediment routing in natural channels," PhD dissertation, Colorado State Univ., Fort Collins, Colo.
9. Choi, G. W., and Molinas, A. (1993). "Simultaneous solution algorithm for channel network modeling." Water Resour. Res., 29(2), 321-328.
10. Cunge, J., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics. Pitman Publishing, Ltd., London.
11. Dammuller, D„ Bhallamudi, S. M., and Chaudhry, M. H. (1989). "Modeling of unsteady flow in curved channel." J. Hydr. Engrg., ASCE, 115(11), 1479-1495.
12. Fennema, R. J., and Chaudhry, M. H. (1986). "Explicit numerical schemes for unsteady free-surface flows with shocks." Water Resour. Res., 22, 13, 1923-30.
13. Fennema, R. J., and Chaudhry, M. H. (1987). "Simulation of one-dimensional dam-break flows." J. Hydr. Res., Int. Assoc, for Hydraulic Research, 25, No. 1, 39-154.
14. Fread, D. L. (1971). "Implicit flood routing in natural channels." J. Hydr. Div., ASCE, 97(7), 1156-1159.
15. 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.
16. Garcia-Navarro, P., and Priestley, A. (1994). "A conservative and shape-preserving semi-lagrangian method for the solution of the shallow water equations." Int. J. Numer. Methods in Fluids, Vol. 18, 273-294.
17. Glaister, P. (1990). "Approximate Reimann solutions of the two-dimensional shallow-water equations." J. Engrg. Math., Vol. 24, No. 1, 45-53.
18. Harten, A. (1983). "High resolution schemes for hyperbolic conservation laws." J. Comp. Phys., Vol. 49, 357-393.
19. Jin, S. (1991). "Numerical transport in diffusive regimes," PhD thesis, Univ. of Arizona.
20. Jin, S. (1995). "Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms." J. Comp. Phys., Vol. 122, 51-67.
21. Jin, S., and Xin, Z. (1995). "The relaxation schemes for systems of conservation laws in arbitrary space dimensions." Communications on pure and applied mathematics. Vol. XLVIII, No. 3, 235-276.
22. Katopodes, N., and Wu, C.-T. (1986). "Explicit computation of discontinuous channel flow." J. Hydr. Engrg., ASCE, 112(6), 456-475.
23. Lai, C. (1986). "Numerical modeling of unsteady open-channel flow." Advances in hydro-science. Academic Press, New York, Vol. 14, 161-333.
24. Larson, C. L„ Wei, T. C, and Bowers, C. E. (1971). "Numerical routing of flood hydrographs through open channel junctions." Report (Bulletin 40) of Water Resources Research Center, Univ. of Minnesota, Minneapolis, Minn.
25. Lax, P., and Wendroff, B. (1960). "Systems of conservation laws." Communications on pure and applied mathematics. Vol. XIII, 217-237.
26. LeVeque, R. J. (1992). Numerical methods for conservation laws, 2nd Ed., Boston Birkhauser Verlag, Basel, Switzerland.
27. Liggett, J. A. (1975). "Basic equations of unsteady flow." Unsteady flow in open channels, K. Mahmood and V. Yevjevich, eds., Water Resource Publications, Fort Collins, Colo., 29-181.
28. Liggett, J. A., and Cunge, J. A. (1975). "Numerical methods of solution of the unsteady flow equations." Unsteady flow in open channels, K. Mahmood and V. Yevjevich, eds., Water Resource Publications, Fort Collins, Colo., 89-179.
29. Murota, A., Kanta, T., and Eto, T. (1973). "Flood routing for urban river network." Proc, 1AHR Int. Symp. on River Mech., Bankok, Thailand, Int. Assoc, for Hydraulic Research, Vol. 3, 339-350.
30. Schaffranek, R. W., Baltzer, R. A., and Goldberg, D. E. (1981). "A model for simulation of flow in singular and interconnected channels." Techniques of water-resources investigations of the United States Geological Survey, U.S. Geol. Surv., Book 7, chapter C3.
31. Sevuk, A. S., and Yen, B. C. (1973). "Comparison of four approaches in routing flood wave through junction." Proc, Int. Assoc, for Hydr. Res., Fifth Congress, Istanbul, Turkey, IAHR, Vol. 5, 169-172.
32. Stoker, J. J. (1957). Water waves: The mathematical theory with applications. Interscience Publishers, Inc., New York.
33. Terzidis, G., and Strelkoff, T. (1970). "Computation of open channel surges and shocks." J. Hydr. Engrg., ASCE, 96(12), 2581-2610.
34. van Leer, B. (1979). "Towards the ultimate conservative difference schemes V: A second-order equal to Godunov's method." J. Comp. Phys., 32, 101-136.
35. Yen, B. C. (1979). "Unsteady flow mathematical modeling techniques." Modeling of Rivers, H. W. Shen, ed., Wiley-Interscience, New York, 13-1-13-33.
36. Yen, B. C, and Osman, A. (1976). "Flood routing through river junctions." Rivers '76, ASCE, New York, Vol. 1, 212-231.