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arXiv · 1805.06812

Open canals flow with fluvial to torrential phase transitions on networks

Maya Briani·Benedetto Piccoli
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Abstract

Network flows and specifically open canal flows can be modeled by systems of balance laws defined on topological graphs. The shallow water or Saint-Venant system of balance laws is one of the most used model and present two phases: fluvial or sub-critical and torrential or super critical. Phase transitions may occur within the same canal but transitions related to networks are less investigated. In this paper we provide a complete characterization of possible phase transitions for a simple network with two canals and one junction. Our analysis allows the study of more complicate scenarios. Moreover, we provide some numerical simulations to show the theory at work.

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Maya Briani, Benedetto Piccoli. 2018-05-17. Open canals flow with fluvial to torrential phase transitions on networks. https://arxiv.org/abs/1805.06812

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