Kinematic wave modeling of overland flow using characteristics method with cubic-spline interpolation

Advances in Water Resources

Volumn 28, Issue 7, 2005, Pages 661-670

  Tsai, Tung Lin ^a   Yang, Jinn Chuang ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Characteristics method; Cubic spline interpolation; Hydrology; Kinematic wave; Overland flow; Runoff

Indexed keywords

COMPUTATIONAL METHODS; INTERPOLATION; KINEMATICS; WATER RESOURCES;

CUBIC-SPLINE INTERPOLATION TECHNIQUE (CSMOC SCHEME); OVERLAND FLOW; PREISSMANN SCHEME; SPACE LINES;

FLOW OF WATER;

HYDROLOGICAL MODELING; KINEMATICS; OVERLAND FLOW; RUNOFF;

EID: 19944393282     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2005.01.005     Document Type: Article

References (30)

1. Z. Ahmad U.C. Kothyari Time-line cubic spline interpolation scheme for solution of advection equation Comput Fluids 30 2001 737-752
2. D.L. Brakensiek Kinematic flood routing Trans ASAE 10 3 1967 340-343
3. C. DeBoor A practical guide to spline 1978 Springer-Verlag New York
4. J.L.M.P. de Lima V.P. Singh The influence of the pattern of moving rainstorms on overland flow Adv Water Resour 25 2002 817-828
5. C.F. Gerald P.O. Wheatley Applied numerical analysis 1994 Addison-Wesley New York
6. R.S. Govindaraju S.E. Jones M.L. Kavvas On the diffusion wave model for overland flow. I: Solution for steep slopes Water Resour Res 24 5 1988 734-744
7. R.S. Govindaraju M.L. Kavvas S.E. Jones Approximate analytical solutions for overland flows Water Resour Res 26 11 1990 2903-2912
8. C.D. Heatwole V.O. Shanholtz B.B. Ross Finite element model to describe overland flow on an infiltrating watershed Trans ASAE 24 1 1982 630-637
9. A.T. Hjelmfelt Jr. Overland flow from time-distribution rainfall J Hydraul Div - ASCE 107 2 1981 227-238
10. A.P. Holden D. Stephenson Finite difference formulations of kinematic equations J Hydraul Eng 121 5 1995 423-426
11. F.H. Jaber R.H. Mohtar Stability and accuracy of finite element schemes for the one-dimensional kinematic wave solution Adv Water Resour 25 2002 427-438
12. F.H. Jaber R.H. Mohtar Stability and accuracy of two-dimensional kinematic wave overland flow modeling Adv Water Resour 26 2003 1189-1198
13. S.R. Karpik S.R. Crockett Semi-Lagrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes J Hydraul Eng 123 5 1997 389-401
14. G.D. Knott Interpolating cubic splines 1999 Birkhauser Boston New York
15. B.I. Kvasov Shape-preserving spline approximation 2000 Scientific Publishing Singapore
16. C. Lai Comprehensive method of characteristics models for flow simulation J Hydraul Eng 114 1989 1074-1097
17. C. Lai Modeling alluvial-channel flow by multimode characteristics method J Eng Mech 117 1991 32-53
18. C. Lai Multicomponent-flow analysis by multimode method of characteristics J Hydraul Eng 120 1894 378-395
19. J.Y. Parlange C.W. Rose G. Sander Kinematic flow approximation of runoff on a plane: An exact analytical solution J Hydrol 52 1981 171-176
20. V.P. Singh Kinematic wave modeling in water resource resources: surface-water hydrology 1996 Wiley New York
21. V.N. Sharda S.R. Singh A finite element model for simulating runoff and soil erosion form mechanically treated agricultural lands. 1. Governing equations and solutions Water Resour Res 30 7 1994 2287-2298
22. G.A. Schohl F.M. Holly Jr. Cubic-spline interpolation in Lagrangian advection computation J Hydraul Eng 117 2 1991 248-253
23. D.L. Stefanovic H.G. Stefan Accurate two-dimensional simulation of advective-diffusive-reactive transport J Hydraul Eng 127 9 2001 728-737
24. L.H. Thomas Elliptic problems in linear difference equations over a network 1949 Waston Scientific Computing Laboratory Columbia, NY
25. T.L. Tsai J.C. Yang L.H. Huang An accurate integral-based scheme for advection-diffusion equation Commu Numer Meth Eng 17 2001 701-713
26. T.L. Tsai J.C. Yang L.H. Huang Hybrid finite-difference scheme for solving the dispersion equation J Hydraul Eng 128 1 2002 78-86
27. T.L. Tsai J.C. Yang L.H. Huang Characteristics method with cubic-spline interpolation for solving the advection-diffusion equation J Hydraul Eng 130 7 2004 580-585
28. T.L. Tsai S.W. Chiang J.C. Yang Characteristics method with cubic-spline interpolation for open channel flow computation Int J Numer Meth Fluids 46 2004 663-683
29. P.E. Weinmann E.M. Laurenson Approximation flood routing methods: A review J Hydraul Div: ASCE 105 12 1979 1521-1536
30. N.N. Yaneko The method of fractional steps: The solution of problems of mathematical physics in several variables 1971 Springer New York