Mathematical Models for Reservoir Routing Analysis

by Peter W. France, Univ of Wales Coll of Cardiff, Cardiff, United Kingdom,

Abstract: Various mathematical models exist for the analysis of reservoir flood routing problems. This paper compares recent Runge-Kutta and Euler numerical techniques with the well known Puls approach for tracing the passage of flood waves through unregulated reservoirs. The results indicate that a high degree of accuracy is achieved with the numerical models but the Runge-Kutta solutions are relatively insensitive to the routing period and the method can be readily programmed.

Subject Headings: Flood routing | Reservoirs | Mathematical models | Numerical models | Mathematics | Hydrologic models | Numerical methods | Model accuracy

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