Flux-Difference Splitting Schemes for 2D Flood Flows

Journal of Hydraulic Engineering

Volumn 126, Issue 1, 2000, Pages 33-42

  Jha, Akhilesh Kumar ^a   Akiyama, Juichiro ^a   Ura, Masaru ^a  

^a KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FLOODS; WATER RESOURCES;

ACCURATE MODELING; FIRST ORDER; FLOOD FLOW; FLUX DIFFERENCE SPLITTING SCHEME; NUMERICAL FLUX; OPERATOR-SPLITTING; SECOND ORDERS; SECOND-ORDER ACCURACY; SIMPLE++; SPACE AND TIME;

NUMERICAL MODELS;

DAM FAILURE; FLOOD FLOW; FREE SURFACE FLOW; MATHEMATICAL MODELING; TWO-DIMENSIONAL FLOW;

DAM FAILURE; FLOOD; FREE SURFACE FLOW; NUMERICAL MODEL; TWO-DIMENSIONAL FLOW;

EID: 0034060655     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2000)126:1(33)     Document Type: Article

References (23)

1. Alcrudo, F., and Garcia-Navarro, P. (1993). "A high-resolution Godunovtype scheme in finite volumes for the 2D shallow-water equations." Int. J. Numer. Methods in Fluids, 16, 489-505.
2. Anton, H. (1981). Elementary linear algebra. Wiley, New York.
3. Beam, W. M., and Warming, R. F. (1976). "An implicit finite-difference algorithm for hyperbolic systems in conservation-law form." J. Computational Phys., 22, 87-110.
4. Bell, S. W., Elliot, R. C., and Chaudry, M. H. (1992). "Experimental results of two-dimensional dambreak flows." J. Hydr. Res., Delft, The Netherlands, 30(2), 225-252.
5. Bellos, C. V., Soulis, J. V., and Sakkas, J. G. (1992). "Experimental investigation of two-dimensional dam-break induced flows." J. Hydr. Res., Delft, The Netherlands, 30(1), 47-63.
6. Bhallamudi, S. M., and Chaudhry, M. H. (1992). "Computation of flows in open-channel transitions." J. Hydr. Res., Delft, The Netherlands, 30(1), 77-92.
7. Fennema, R. J. (1985). "Numerical simulation of two-dimensional transient free-surface flows," PhD dissertation, Washington State University, Pullman, Wash.
8. Fraccarollo, L., and Toro, E. F. (1996). "Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems." J. Hydr. Res., Delft, The Netherlands, 33(6), 843-864.
9. Gabutti, B. (1983). "On two upwind finite-difference schemes for hyperbolic equations in nonconservation form." Comp. and Fluids, 11(3), 207-230.
10. Harten, A., and Hyman, J. M. (1983). "Self-adjusting grid method for one-dimensional hyperbolic conservation laws." J. Computational Phys., 50, 235-269.
11. Jha, A. K., Akiyama, J., and Ura, M. (1995). "First and second-order flux difference splitting schemes for dam-break problem." J. Hydr. Engrg., ASCE, 121(12), 877-884.
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. Louaked, M., and Hanich, L. (1998). "TVD scheme for the shallow water equations." J. Hydr. Res., Delft, The Netherlands, 36(3), 363-378.
14. MacCormack, R. W. (1971). "Numerical solution of the interaction of a shock wave with a laminar boundary layer." Lecture notes in physics, Vol. 8, Springer, New York, 151-163.
15. Molls, T., and Chaudhry, M. H. (1995). "Depth-averaged open-channel flow model." J. Hydr. Engrg., ASCE, 121(6), 453-465.
16. Rahman, M., and Chaudhry, M. H. (1997). "Computation of flow in open-channel transitions." J. Hydr. Res., Delft, The Netherlands, 35(2), 243-256.
17. Roe, P. L. (1981). "Approximate Riemann solvers, parameter vectors and difference schemes." J. Computational Phys., 43, 357-372.
18. Roe, P. L. (1986). "Upwind differencing schemes for hyperbolic conservation laws with source terms." 1st Int. Congr. on Hyperbolic Problems, St. Etienne, 41-51.
19. Sleigh, P. A., Gaskell, P. H., Berzins, M., and Wright, N. G. (1998). "An unstructured finite-volume algorithm for predicting flow in rivers and estuaries." Comp. and Fluids, 27(4), 479-508.
20. Sweby, P. K. (1984). "High resolution schemes using flux limiters for hyperbolic conservation laws." SIAM J. Numer. Anal., 21, 995-1101.
21. Yee, H. C. (1989). "A class of high-resolution explicit and implicit shockcapturing methods." Rep. NASA-TM-101088, Ames Research Center, Calif.
22. Zhao, D. H., Shen, H. W., Lai, J. S., and Tabios, G. Q. III. (1996). "Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling." J. Hydr. Engrg., ASCE, 122(12), 692-702.
23. Zhao, D. H., Shen, H. W., Tabios, G. Q. III, Lai, J. S., and Tan, W. Y. (1994). "Finite-volume two-dimensional unsteady-flow model for river basins." J. Hydr. Engrg., ASCE, 120(7), 863-883.