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.
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Chow et al. (1973) studied this question.