Modeling and analysis of pooled stepped chutes

Details Modeling and analysis of pooled stepped chutes Modeling and analysis of pooled stepped chutes

2010-10-22

arxiv.org/abs/1010.4669v3

Mathematics

Analysis of PDEs

17 pages, 31 figures

Scientific paper

We consider an application of pooled stepped chutes where the transport in each pooled step is described by the shallow--water equations. Such systems can be found for example at large dams in order to release overflowing water. We analyze the mathematical conditions coupling the flows between different chutes taken from the engineering literature. We present the solution to a Riemann problem in the large and also a well--posedness result for the coupled problem. We finally report on some numerical experiments.

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