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Numerical Analysis of Open Channel Steady Gradually Varied Flow using the Simplified Saint-Venant Equations

Artichowicz W.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

2011

Vol. 15, No 3-4

317-328

For one-dimensional open-channel flow modeling, the energy equation is usually used. There exist numerous approaches using the energy equation for open-channel flow computations, which resulted in the development of several very efficient methods for solving this problem applied to channel networks. However, the dynamic equation can be used for this purpose as well. This paper introduces a method for solving a system of non-linear equations by the discretization of the one-dimensional dynamic equation for open-channel networks. The results of the computations using the dynamic and energy equations were compared for an arbitrarily chosen problem. Also, the reasons for the differences between the solution of the dynamic and energy equation were investigated.