Diffusion-Wave Flood Routing in Channel Networks

by Ali Osman Akan, Asst. Prof. of Civ. Engrg.; Middle East Technical Univ., Ankara, Turkey,
Ben Chie Yen, (F.ASCE), Prof. of Civ. Engrg.; Univ. of Illinois at Urbana-Champaign, Urbana, Ill. 61801,

Serial Information: Journal of the Hydraulics Division, 1981, Vol. 107, Issue 6, Pg. 719-732

Document Type: Journal Paper


A nonlinear diffusion-wave model is developed for routing of floods in dendritic open-channel networks. The model considers backwater effects from both upstream and downstream ends of a channel. An overlapping-segment technique is adopted to decompose the network. The nonlinear algebraic finite-difference equations are solved through a special formulation of tridiagonal banded matrices. Comparison of the results of the proposed model to those of the dynamic-wave and nonlinear kinematic wave models indicates that the proposed model is nearly as accurate as, and computationally much cheaper, than the dynamic-wave model. It is computationally as inexpensive but more accurate than the nonlinear kinematic-wave model.

Subject Headings: Model accuracy | Computer models | Kinematic waves | Hydraulic models | Diffusion | Flood routing | Rivers and streams | Nonlinear waves

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