Kinematic-wave models are used extensively by the U.S. Geological Survey. Both kinematic-and modified kinematic-wave models are used for channel and overland-flow routing in the Precipitation-Runoff Modeling system and in the Distributed Routing Rainfall-Runoff Model. The development of the theory and application of kinematic waves is complex, but it is not readily available in any one text. Therefore, the purpose of this report is to present the basic concepts of the kinematic-wave approximation of one-dimensional dynamic waves. The report is intended for an audience of field hydrologists applying kinematicwave models in practical situations such as watershed models. This report does not propose to assess or describe the current state of the art of approximate hydraulic-flow routing techniques. It is intended to be used as a basic reference on the theory and application of kinematic-wave models and modified kinematic-wave models.
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J.E. Miller (1984) studied this question.
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