Abstract
We study a Riemann problem at a junction of a star-like network of open canals. The network is modeled as three canals and a junction where all canals come together. The flow in the network is subcritical and given by 1D Saint-Venant equations in each canal and special conditions at the junction. We consider the symmetric case where two of the canals are identical. First, we show that the linearized junction Riemann problem has always a unique solution. Second, we show that under certain condition, there is a unique solution to the nonlinear junction Riemann problem. There are also cases where there is no solution.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
