Hydrodynamic Modeling of Two-Dimensional Watershed Flow

by Ven Te Chow, (M.ASCE), Prof. of Hydr. Engrg.; Dept. of Civ. Engrg., Univ. of Illinois at Urbana-Champaign, Urbana, IL,
Arie Ben-Zvi, (M.ASCE), Sr. Hrdro.; Hydrological Service, Water Commission, Ministry of Agr., Jerusalem, Israel,

Serial Information: Journal of the Hydraulics Division, 1973, Vol. 99, Issue 11, Pg. 2023-2040

Document Type: Journal Paper


Unsteady surface flow over watersheds is modeled hydrodynamically by a system of quasilinear partial differential equations for two velocity components and a flow depth at any point on the watershed. Computer solution is made possible by a new difference scheme based on the combination of the Lax-Wendroff scheme with Burstein-Lapidus modifications. A numerical example is given for the solution of watershed flow resulting from a uniform rainfall intensity and finite duration and its result is tested experimentally in the University of Illinois Watershed Experimentation System Laboratory. Preliminary results indicate that the proposed two-dimensional hydrodynamic model is suitable for the study of the watershed flow under consideration.

Subject Headings: Two-dimensional models | Two-dimensional flow | Hydrodynamics | Hydrologic models | Watersheds | Water flow | Unsteady flow | Terrain models

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