Two-dimensional shallow water flows simulation using TVD-MacCormack scheme

Journal of Hydraulic Research

Volumn 38, Issue 2, 2000, Pages 123-131

  Ming, Hseng Tseng ^a   Chu, Chia R ^b  

^a Ling Tung College and and National Center for High Petformance Computing   (Taiwan)

^b NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; DAMS; FINITE DIFFERENCE METHOD; HYDRAULIC JUMP; OPEN CHANNEL FLOW;

SHALLOW WATER FLOW; TOTAL VARIATION DIMENSIONING (TVD);

FLOW OF WATER;

EID: 0033709421     PISSN: 00221686     EISSN: None     Source Type: Journal    
DOI: 10.1080/00221680009498347     Document Type: Article

References (20)

1. ALCRUDO, F. and GARCIA-NAVARRO, P., "A high resolution Godunov-type scheme in finite volumes for the 2D shallow water equations", Inter. J. Numerical Methods Fluids, Vol. 16, pp. 489-505, (1993)
2. BELLOS, C.V. SOULIS, J.V. and SAKKAS, J.G., "Experimental investigation of two-dimensional dam-break induced flow", J. of Hydraulic Research, IAHR, Vol. 40, No. 1, pp. 47-63, (1992)
3. CHAUDHRY, M.H., Open-Channel Flow, Prentice-Hall Inc., London, (1993)
4. CHOW, V.T. Open-Channel Hydraulics, McGraw-Hill Inc., New York, (1959)
5. COURANT, R., FRIEDRICH, K.O. and LEWY, H., "On the partial differential equation of mathematical physics" IBM Journal, 11, 2, pp. 215-234, (1967)
6. FENNEMA, R.J. and CHAUDHRY, M.H., "Explicit methods for 2D transient free surface flows", J. of Hydraulic Engineering, ASCE, Vol. 116, No. 11, pp. 1013-1034, (1990)
7. FRACCAROLLO, L. and TORO, E.F., "Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems", J. of Hydraulic Research, IAHR, Vol. 33, No. 6, pp. 843-864, (1995)
8. GARCIA-NAVARRO, P., ALCRUDO, F. and SAVIRON, J.M., "1-D open channel flow simulation using TVD-MacCormack scheme", J. Hydraulic Engineering, ASCE, Vol. 118, 10, pp. 1359-1372, (1992)
9. HARTEN , A. and HYMAN, P. "Self-adjusting grid methods for one-dimensional hyperbolic conservation laws", J. Computation Physics, 50, pp. 235-269, (1983)
10. HIRSCH, C. Numerical Computation of Internal and External Flows: Vol. 2: Computational Methods for Inviscid and Viscous Flows, John Wiley & Sons, New York, (1988)
11. LOUAKED, M. and HANICH, L., "TVD scheme for the shallow water equations", J. of Hydraulic Research, IAHR, Vol.36, No. 3, pp. 363-378 (1998)
12. MACCORMACK, R.W. "The effect of viscosity in hyper-velocity cratering", AIAA, Paper No. 69-354, Washington, D.C., (1969)
13. MINGHAM, C.G. and CAUSON, D.M. "High-resolution finite-volume method for shallow water flows", J. Hydraulic Engineering, ASCE, Vol. 124, 6, pp. 605-614, (1998)
14. ROE, P.L., "Approximate Riemann solvers, parameter vectors and different schemes.", J. Computation Physics, 43, pp. 357-372, (1981)
15. SWEBY, P.K. "High resolution schemes using flux limiters hyperbolic conservation laws", SIAM, J. of Numerical Anal., Vol. 21, No. 5, pp. 995-1011, (1984)
16. TORO, E.F., Riemann Solvers and Upwind Methods for Fluid Dynamics, Springer-Verlag, Germany, (1997)
17. TSENG, M.H. "Explicit finite-volume non-oscillatory schemes for 2D transient free surface flows", Inter. J. Numerical Methods Fluids, Vol. 30, pp. 831-843, (1999)
18. th Conference on Computational Fluid Dynamics, Taiwan, R.O.C., pp. 327-334, (1997)
19. YANG, J.Y. and HSU, C.A., "Computation of free surface flows, Part 2. Two-dimensional unsteady bore diffraction", J. of Hydraulic Research, IAHR, Vol. 31, No. 3, pp. 403-414, (1993)
20. ZHAO, D.H., SHEN, H.W., LAI, J.S. and TABIOS, G.Q. "Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling", J. Hydraulic Engineering, ASCE, Vol. 122, 12, pp. 692-702, (1996)