Downstream characteristic Lagrangian hybrid method for flows in open channels

Journal of Hydraulic Research

Volumn 36, Issue 3, 1998, Pages 379-396

  Cui, Gurong ^a   Williams, Brian ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031675781     PISSN: 00221686     EISSN: None     Source Type: Journal    
DOI: 10.1080/00221689809498625     Document Type: Article

References (19)

1. AHLBERG, H., NILSEN, N. and WALSH, L., The Theory of Splines and Their Applications. Academic Press, 1967.
2. ALCRUDO, F., GARĆIA-NAVARRO, P. and SAVIRON J-M., Flux Difference Splitting for 1D Open Channel Flow Equations, Int. J Num. Meth. Fluids, V14, 1009-1018, 1992.
3. BERMEJO, R., Notes and Correspondence on the Equivalence of Semi-Lagrangian Schemes and Particle-in-Cell Finite Element Methods, Monthly Weather Review, Vol. 118, pp. 979-987, 1990.
4. CHAUDHRY, M. H., Open-Channel Flow; Prentice Hall, Englewood Cliffs, New Jersey, USA, 1993.
5. CUNGE, J. A., HOLLY, F. M. and VERWEY, A., Practical Aspects of Computational River Hydraulics; Pitman, 1980.
6. CUI, G and WILLIAMS, B. J., A Hybrid Lagrangian Method for Unsteady Flows with Nonlinear Advection Diffusion Equations, Research Report, Dept. of Civil Engineering and Surveying., University of Newcastle, Australia, 1996.
7. ERBES, G., A Semi-Lagrangian Method of Characteristics for the Shallow-Water Equations; Monthly Weather Review, V121, pp. 3443-3452, 1993.
8. GARCIA, R. and KAHAWITA, R. A., Numerical Solution of the St Venant Equations with the MacCormack Finite-Difference Scheme, , Int. J Num. Meth. Fluids, V6, 259-274, 1986.
9. GARĆIA-NAVARRO, P. and PRIESTLEY, A., Explicit scheme with large time steps, Hydroinfomatics'94, Ed. Verwey A. et. al., V1, pp.133-139, Balkema, Rotterdam, 1994.
10. GARĆIA-NAVARRO, P. and SAVIRON J.M., McCormack's method for the numerical simulation of one-dimensional discontinuous unsteady open channel flow, J. Hydr. Res., V30(1), 95-105, 1992.
11. GLAISTER, P., Flux difference splitting for hyperbolic systems of conservation laws with source terms, Computers and Mathematics with Applications, V26(7), pp79-96, 1993.
12. MACCORMACK, R.W., Effect of Viscosity in Hypervelocity Impact Cratering, AIAA Paper, 69-354, 1969.
13. ROE, P.L., Approximate Riemann solvers, parameter vectors and difference schemes, J. Comp. Phys., V43, pp357-352, 1981.
14. SAVIC, L.J. and HOLLY, F.M., Jr., Dambreak waves computed by modified Godunov method, J. Hydr. Res. V31(2), 187-204, 1993.
15. STOKER, J. J., Water Waves, Interscience, New York, 1957.
16. STANIFORTH, A. and COTE, J., Semi-Lagrangian Integration Scheme for Atmospheric Models A Review, Monthly Weather Review, V. 119, pp. 2206-2223, 1991.
17. TERZEDIS G. and STRELKOFF, T., Computation of open-channel surges and shocks, ASCE Hy 12, V. 96, 1970.
18. YANG, J.Y., HSU, C.A. and CHANG, S.H., Computations of free surface flows. Part1: One-dimensional dam break flow, J. Hydr. Res. V31(1), 19-34, 1993.
19. WU, J. H and HAN, Q. S., Computation Fluids-Theory, Methods and Applications (in Chinese), Since Press, Beijing, 1988.