| Abstract: | The kinematic-wave model is one of a number of approximations of the dynamic-wave model. The dynamic-wave model describes one-dimensional shallow-water waves (unsteady, gradually varied, open-channel flow). The report provides a basic reference on the theory and application of kinematic-wave models and describes the limitations of the model in relation to the other approximations of the dynamic-wave model. In the kinematic-wave approximation, a number of the terms in the equation of motion are assumed to be insignificant. The equation of motion is replaced by an equation describing uniform flow. Thus, the kinematic-wave model is described by the continuity equation and a uniform flow equation such as the well-known Chezy or Manning formulas. Kinematic-wave models are applicable to overland flow where lateral inflow is continuously added and is a large part of the total flow. For channel-routing applications, the kinematic-wave model always predicts a steeper wave with less dispersion and attenuation than actually occurs. The effect of the accumulation of errors in the kinematic-wave model shows that the approximations made in the development of the kinematic-wave equations are not generally justified for most channel-routing applications. Modified flow-routing models can be used which help to stop the accumulation of error that occurs when the kinematic-wave model is applied. (USGS) |
| Genre: | USGS Numbered Series |
| ProdID: | 38566 |
| Citation Author: | Miller, J. E. |
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| Citation Language: | ENGLISH |
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| Citation Phsyical Description: | 29 p. |
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| Citation Series: | Professional Paper |
| Citation Series Code: | PP |
| Citation Series Number: | 1302 |
| Citation Search Results Text: | Basic concepts of kinematic-wave models; 1984; PP; 1302; Miller, J. E. |
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| Citation Year: | 1984 |
| Type: | citation/reference |
| Text: | Basic concepts of kinematic-wave models; 1984; PP; 1302; Miller, J. E. |
| URL (THUMBNAIL): | http://pubs.usgs.gov/pp/1302/report-thumb.jpg |
| URL (DOCUMENT): | http://pubs.usgs.gov/pp/1302/report.pdf |
| Date Other: | Sat, 1 Jan 1994 00:00 -0600 |
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