ODE solution to the characteristic form of the Saint-Venant equations
An ordinary differential equation algorithm was formulated to approximate the solution to the characteristic form of the Saint-Venant equations for one-dimensional, gradually varied, unsteady open-channel flow in prismatic irrigation canals. The algorithm was applied by developing a network of chara...
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| Veröffentlicht in: | Irrigation science 2008-03, Vol.26 (3), p.213-222 |
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| container_title | Irrigation science |
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| creator | Chun, S. J Merkley, G. P |
| description | An ordinary differential equation algorithm was formulated to approximate the solution to the characteristic form of the Saint-Venant equations for one-dimensional, gradually varied, unsteady open-channel flow in prismatic irrigation canals. The algorithm was applied by developing a network of characteristics using difference equations for randomly spaced intervals in the x - t (space-time) plane. Consistency, convergence and numerical stability of the equations are demonstrated, and a method to estimate the error of the predictor-corrector scheme is proposed. A mathematical model was developed to test the algorithm using a hypothetical case of unsteady flow, and it was compared to the results from two other mathematical simulation models, providing a high degree of agreement. |
| doi_str_mv | 10.1007/s00271-007-0087-7 |
| format | Article |
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| subjects | Agriculture Algorithms Aquatic Pollution Biomedical and Life Sciences Climate Change Environment Geological engineering Irrigation Irrigation canals Life Sciences Mathematical models Open channel flow Ordinary differential equations Original Paper Sustainable Development Unsteady flow Waste Water Technology Water Industry/Water Technologies Water Management Water Pollution Control |
| title | ODE solution to the characteristic form of the Saint-Venant equations |
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