Characteristics method with cubic-spline interpolation for open channel flow computation

International Journal for Numerical Methods in Fluids

Volumn 46, Issue 6, 2004, Pages 663-683

  Tsai, Tung Lin ^a   Chiang, Shih Wei ^a   Yang, Jinn Chuang ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Characteristics method; Cubic spline interpolation; Open channel flow

Indexed keywords

FLOW OF FLUIDS; NEWTONIAN FLOW; SOLVENTS; SPECTRUM ANALYSIS; VISCOSITY;

CHANNEL FLOW COMPUTATION; LINEAR INTERPOLATION;

INTERPOLATION;

MATHEMATICAL METHOD; OPEN CHANNEL FLOW; UNSTEADY FLOW;

EID: 5044235689     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.764     Document Type: Article

References (28)

1. Lai C. Flow of homogeneous density in tidal reaches, solution by the method of characteristics. Open-file Report, U.S. Geological Survey, Denver, CO, 1965; 65-93.
2. Amein M. Streamflow routing on computer by characteristics. Water Resources Research 1966; 2:123-130.
3. Vardy AE. On the use of the method of characteristics for the solution of unsteady flows in networks. Proceedings of 2nd International Conference on Pressure Surges, British Hydromech. Research Association, Fluid Engineering, Cranfield, England, 1977; 15-30.
4. Wiggert DC, Sundquist MJ. Fixed-grid characteristics for pipeline transients. Journal of Hydraulic Engineering 1977; 103:1403-1416.
5. Wylie EB. Inaccuracies in the characteristics method. Proceedings of the 28th Annual Hydraulic Spec. Conference ASCE, Chicago, IL, 1980; 165-176.
6. Goldberg DE, Wylie EB. Characteristics method using time-line interpolation. Journal of Hydraulic Engineering 1983; 109:1074-1079.
7. Lai C. Numerical modeling of unsteady open channel flow. In Advances in Hydroscience, Chow VT, Yen BC (eds), vol. 14. Academic Press: Orlando, FL, 1986; 161-333.
8. Lai C. Comprehensive method of characteristics models for flow simulation. Journal of Hydraulic Engineering 1989; 114:1074-1097.
9. Lai C. Modeling alluvial-channel flow by multimode characteristics method. Journal of Engineerinq Mechanics 1991; 117:32-53.
10. Lai C. Multicomponent-flow analysis by multimode method of characteristics. Journal of Hydraulic Engineering 1994; 120:378-395.
11. Yang JC, Chiu KP. Use of characteristics method with cubic interpolation for unsteady-flow computation. International Journal for Numerical Methods in Fluids 1993; 16:329-345.
12. Holly FM Jr, Preissmann A. Accurate calculation of transport in two dimensions. Journal of Hydraulic Engineering 1977; 103:1259-1277.
13. Yang JC, Hsu EL. Time-line interpolation for solution of the dispersion equation. Journal of Hydraulic Research 1990; 28:503-520.
14. Yang JC, Chen KN, Lee HY. Investigation of use of reachback characteristics method for 2d dispersion equation. International Journal for Numerical Methods in Fluids 1991; 13:841-855.
15. Yang JC, Hsu EL. On the use of reachback characteristics method for calculation of dispersion. International Journal for Numerical Methods in Fluids 1991; 12:225-235.
16. Yang JC, Chen KN, Lee HY. An accurate computation for rapidly varied flow in open channel. International Journal for Numerical Methods in Fluids 1992; 14:361-374.
17. Prenter PM. Splines and Variational Methods. Wiley: New York, 1975.
18. Schohl GA, Holly FM Jr. Cubic-spline interpolation in Lagrangian advection computation. Journal of Hydraulic Engineering 1991; 117:248-253.
19. Karpik SR, Crockett SR. Semi-Langrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes. Journal of Hydraulic Engineering 1997; 123:389-401.
20. Stefanovic DL, Stefan HG. Accurate two-dimensional simulation of advective-diffusion-reactive transport. Journal of Hydraulic Engineering 2001; 127:728-737.
21. Ahmad Z, Kothyari UC. Time-line cubic spline interpolation scheme for solution of advection equation. Computers and Fluids 2001; 30:737-752.
22. Henderson FM. Open Channel Flow. Macmillan: New York, 1966.
23. DeBoor C. A Practical Guide to Spline. Springer: New York, 1978.
24. Knott GD. Interpolating Cubic Splines. Birkhauser: Boston, New York, 1999.
25. Thomas LH. Elliptic Problems in Linear Difference Equations Over a Network. Waston Scientific Computing Laboratory: Columbia, New York, 1949.
26. Cunge JA, Holly FM, Verwey A. Practical Aspects of Computational River Hydraulics. Pitman: London, 1980.
27. Stoker JJ. Water Waves. Interscience Publications, Wiley: New York, 1957.
28. Lancaster P, Salkauskas K. Curve and Surface Fitting: An Introduction. Academic Press: San Diego, 1986.