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.
Authors
Additional information
- Category
- Aktywność konferencyjna
- Type
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Language
- angielski
- Publication year
- 2013
