Implicit bidiagonal scheme for depth-averaged free-surface flow equations

Journal of Hydraulic Engineering

Volumn 126, Issue 6, 2000, Pages 425-436

  Panagiotopoulos, Alexander G ^a   Soulis, Johannes V ^a  

^a DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS; SHORE PROTECTION;

BIDIAGONAL; BIDIAGONAL MATRIXES; FAST CONVERGENCE; FLOW CALCULATIONS; FLOW EQUATIONS; FREE-SURFACE FLOW; NON-ORTHOGONAL; NUMERICAL SCHEME; PREDICTOR CORRECTOR; SUPERCRITICAL;

NUMERICAL METHODS;

COMPUTATIONAL MODEL; EXPANSION; FLUME; FREE SURFACE FLOW; FROUDE NUMBER; STEADY FLOW; SUBCRITICAL FLOW; SUPERCRITICAL FLOW;

EID: 0033832836     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2000)126:6(425)     Document Type: Article

References (16)

1. Berger, R. C., and Stockstill, R. L. (1995). “Finite-element model for high-velocity channels." J. Hydr. Engrg., ASCE, 121(10), 710-716.
2. Chapman, R. S., and Kuo, C. Y. (1985). “Application of two-equation κ-ε turbulence model to a two-dimensional, steady, free surface flow separation." Int. J. Numer. Methods in Fluids, 5, 257-268.
3. Elliot, R., and Chaudhry, M. H. (1992). “'A wave propagation model for two-dimensional dam-break flows." J. Hydr. Res., Delft, The Netherlands, 30(4), 467-483.
4. Fennema, R. J., and Chaudhry, M. H. (1989). “Implicit methods for two-dimensional unsteady free-surface flows." J. Hydr. Res., Delft, The Netherlands, 27(3), 321-331.
5. Lavante, von E., and Thompkins, W. T. (1982). “An implicit, bidiagonal numerical method for solving the Navier-Stokes equations." AIAA J., 21(6), 828-833.
6. MacCormack, R. W. (1982). “A numerical method for solving the equations of compressible viscous flow." AIAA J., 20(9), 1275-1281.
7. Molls, T., and Chaudhry, M. H. (1995). “Depth-averaged open-channel flow model." J. Hydr. Engrg., ASCE, 121(6), 453-465.
8. Molls T. Chaudhry, M. H., and Khan, R. W. (1995). “Numerical simulation of two-dimensional flow near a spur-dike." Advances in Water Resour., 18(4), 227-236.
9. Neilson, F. M. (1976). “Convex chutes in converging supercritical flow." Miscellaneous Paper 17-76-19, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss.
10. Rahman, M., and Chaudhry, M. H. (1995). “Simulation of hydraulic jump with grid adaptation." J. Hydr. Res., Delft, The Netherlands, 33(4), 555-569.
11. Rouse, H., Bhoota, B. V., and Hsu, E.-Y. (1951). “Design of channel expansions." Trans. ASCE, 116, 347-363.
12. Soulis, J. V. (1991). “A numerical method for subcritical and supercritical open channel flow calculation." Int. J. Numer. Methods in Fluids, 13, 437-464.
13. Soulis, J. V. (1997). “Prediction performance of quasi-2D and 2D free-surface flow algorithms." Proc., 7th Panellenic Congr. of the Greek Hydrotechnical Assn., Patras, Greece.
14. Soulis, J. V., and Bellos, K. V. (1989). “Steady, supercritical, open channel flow computations." Proc., 6th Int. Conf. on Numer. Methods in Laminar and Turbulent Flow, Swansea, U.K., 1493-1504.
15. Stubbs, R. M. (1983). “Multiply-gridding of the Euler equations with an implicit scheme." Proc., Computational Fluid Dyn. Conf., American Institute of Aeronautics and Astronautics, Reston, Va., 83-1945.
16. Tingsanchali, T., and Maheswaran, S. (1990). “2-D depth-averaged flow computation near Groyne." J. Hydr. Engrg., ASCE, 116(1), 71-86.