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Abstract
In this paper properties of discrete forms of one dimensional steady gradually varied flow equations are discussed. Such forms of flow equations are obtained as a result of approximation of their differential forms, which is required to solve them numerically. For such purpose explicit or implicit numerical approximation schemes for ordinary differential equations can be applied. It turns out that dependently on the chosen approximation scheme, discrete forms of steady gradually varied flow equations can have more than one root. This property can lead to major issues during process of numerical solution of steady flow equations, as in such situation the choice of proper root is crucial to the obtained result. Standard steady gradually varied flow equation, energy equation and steady Saint-Venant equations were examined from the viewpoint of mentioned properties.
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- Category:
- Conference activity
- Type:
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Title of issue:
- Thirteenth International Symposium On Water management and Hydraulic Engineering strony 1 - 16
- Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Artichowicz W., Szymkiewicz R.: PROPERTIES OF ONE DIMENSIONAL OPEN-CHANNEL STEADY FLOW EQUATIONS// Thirteenth International Symposium On Water management and Hydraulic Engineering/ ed. Andrej Soltesz, Dana Barokova, Martin Orfanus, Michal Holubec Bratysława: Slovak University of Technology in Bratislava, Faculty of Civil Engineering, 2013, s.1-16
- Verified by:
- Gdańsk University of Technology
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