A non-oscillatory scheme for open channel flows

Advances in Water Resources

Volumn 22, Issue 2, 1998, Pages 133-143

  Yost, Scott A ^a   Rao, Prasad M S V ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Channel flow; Numerical method; Open channel

Indexed keywords

HYDRAULICS; OPEN CHANNEL FLOW;

BOUSSINESQ PRESSURE; FROUDE NUMBER;

FLOW OF WATER;

CHANNEL FLOW; OPEN CHANNEL;

CHANNEL FLOW; NUMERICAL METHOD;

EID: 0032558880     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(98)00006-2     Document Type: Article

References (25)

1. Abbott, M. B., Computational Hydraulics: Elements of Theory of Free Surface Flows, Pitman, London, 1979.
2. Basco D. R. Limitations of de Saint Venant equations in dam-break analysis. J. Hydraul. Eng. 115:1989;950-965.
3. Bellos C. V., Sakkas J. G. 1-d dam break flood wave propagation on dry bed. J. Hydraul. Eng. 113:1987;1510-1524.
4. Berger R. C., Stockstill R. L. Finite-element model for high-velocity channels. J. Hydraul. Eng. 121:1995;710-716.
5. Boris J. P., Brook L. D. Flux corrected transport, SHASTA, a fluid transport algorithm that works. J. Comput. Phys. 11:1973;38-69.
6. Chaudhry, M. H., Open Channel Flows, Prentice-Hall, Englewood Cliffs, NJ, 1995.
7. Collela P., Woodward P. R. The piecewise parabolic method (PPM) for gas dynamics simulation. J. Comput. Phys. 54:1984;174-201.
8. Dammuller D. C., Bhallamudi S. M., Chaudhry M. H. Modeling of unsteady flow in curved channel. J. Hydraul. Eng. 115:1988;1479-1495.
9. Fennema R. J., Chaudhry M. H. Explicit numerical schemes for unsteady free surface flows with shocks. Water Resources Research. 22:1986;1923-1930.
10. Garcia R., Kahawita R. A. Numerical simulation of St. Venant's equations with the MacCormack finite difference scheme. Int. J. Num. Methods Fluids. 6:1986;259-274.
11. Gharangik A. M., Chaudhry M. H. Numerical simulation of Hydraulic jump. J. Hydraul. Eng. 117:1991;1195-1211.
12. Harten A. High-resolution schemes for Hyperbolic Conservation laws. J. Comput. Phys. 49:1983;357-393.
13. Harten A., Osher S. Uniformly high order accurate nonoscillatory schemes. Siam. 24:1987;279-310.
14. Hicks F. E., Steffler P. M., Yasmin N. One-dimensional dam break solutions for variable width channels. J. Hydraul. Eng. 123:1997;464-468.
15. Hirsch, C., Numerical Computation of Internal and External Flows, John Wiley and Sons, New York, 1992.
16. th Fluid and Plasma Dynamics Conference, Palo Alto, CA, AIAA, 1981, pp. 1259.
17. Jha A. K., Akiyama J., Ura M. Modeling unsteady open-channel flows - Modification to beam and warming scheme. J. Hydraul. Eng. 120:1994;461-476.
18. Katapodes N., Strelkoff T. Computing two-dimensional dam break flood waves. J. Hydraul. Div., ASCE. 110:1988;1269-1288.
19. Meissner U. A finite difference element integration scheme for long period water wave propagation. Int. J. Num. Methods Eng. 12:1978;1161-1169.
20. Rahman M., Chaudhry M. H. Simulation of hydraulic jump with grid adaptation. J. Hydraul. Res. 33:1995;555-569.
21. Rahman M., Chaudhry M. H. Simulation of dam-break with grid adaptation. Advances in Water Resources. 21:1998;1-9.
22. Shu C. W., Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77:1988;439-471.
23. Vanleer B. Towards the ultimate conservative difference scheme, II, monoticity and second order combined in a second order scheme. J. Comput. Phys. 14:1973;357-393.
24. Whitham, G. B., Linear and Non Linear Waves. John Wiley, New York, 1974.
25. Zalesak S. T. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31:1979;335-362.