Accuracy of the kinematic wave and diffusion wave approximations for time-independent flows with infiltration included

Hydrological Processes

Volumn 12, Issue 12, 1998, Pages 1951-1979

  Singh, V P ^a   Aravamuthan, V ^a  

^a Louisiana State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CHANNEL FLOW; DIFFUSION; DISCHARGE (FLUID MECHANICS); HYDROLOGY;

DIFFUSION WAVE APPROXIMATION; FROUDE NUMBER; KINEMATIC WAVE APPROXIMATION; KINEMATIC WAVE NUMBER; TIME INDEPENDENT FLOW;

KINEMATICS;

ACCURACY ASSESSMENT; CHANNEL FLOW; INFILTRATION; NUMERICAL METHOD;

EID: 0032532866     PISSN: 08856087     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1085(19981015)12:12<1951::AID-HYP627>3.0.CO;2-6     Document Type: Article

References (8)

1. Govindaraju, R. S., Jones, S. E., and Kavvas, M. L. 1988. 'On the diffusion wave model for overland flow: 2. Steady state analysis', Wat. Resour. Res., 24, 745-754.
2. Morris, M. 1978. 'The effect of the small slope approximation and lower boundary condition on the solution of the St. Venant equations', J. Hydrol., 40, 31-47.
3. Parlange, J. Y., Hogarth, W., Sander, G., Rose, C., Haverkamp, R., and Surin, A. 1989. 'Comment on, "On the diffusion wave model for overland flow: 2. Steady state analysis, R. S. Govindaraju, S. E. Jones, and M. L. Kavvas",' Wat. Resour. Res., 25, 1923-1924.
4. Parlange, J. Y., Hogarth, W., Sander, G., Rose, C., Haverkamp, R., Surin, A., and Brutsaert, W. 1990. 'Asymptotic expansion for steady state overland flow', Wat. Resour. Res., 26, 579-583.
5. Pearson, C. P. 1989. 'One-dimensional flow over a plane: criteria for kinematic wave modeling', J. Hydrol., 111, 39-48.
6. Singh, V. P. and Aravamuthan, V. 1993. 'Errors in kinematic-wave and diffusion-wave approximations for time-independent flows: cases one to six', Technical Report WRR 20. Water Resources Program, Department of Civil Engineering, Louisiana State University, Baton Rouge, Louisiana.
7. Singh, V. P. and Aravamuthan, V. 1995. 'Accuracy of kinematic wave and diffusion wave approximations for time-independent flows', Hydrol. Process., 9, 755-782.
8. Woolhiser, D. A. and Liggett, J. A. 1967. 'Unsteady one-dimensional flow over a plane - the rising hydrograph', Wat. Resour. Res., 3, 753-711.