TECHNICAL NOTES
May 1, 1995

Finite Difference Formulations of Kinematic Equations

Publication: Journal of Hydraulic Engineering
Volume 121, Issue 5

Abstract

The accuracy of finite-difference solutions to the kinematic equations for runoff modeling is affected when numerical diffusion or instability occurs. The effect of grid ratio and the spatial and temporal weighting coefficients in four-point difference schemes are discussed. Inaccuracies resulting from numerical diffusion are related to the temporal weighting coefficient, and a variable coefficient is suggested to eliminate uncontrolled numerical diffusion. The occurrence of parasitic waves is investigated.

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References

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Constantinides, C. A. (1982). “Two-dimensional kinematic modelling of the rainfall-runoff process.”Rep. 1/1982, Dept. of Civ. Engineering, Water Systems Res. Programme, Univ. of the Witwatersrand, Johannesburg, Republic of South Africa.
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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 121Issue 5May 1995
Pages: 423 - 426

History

Published online: May 1, 1995
Published in print: May 1995

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Authors

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A. P. Holden
Des. Engr., Water Dept., Protekon, P.O. Box 45, Johannesburg Station, 2134, Republic of South Africa.
D. Stephenson, Fellow, ASCE
Des. Engr., Water Dept., Protekon, P.O. Box 45, Johannesburg Station, 2134, Republic of South Africa.

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