A RIEMANN PROBLEM AT A JUNCTION OF OPEN CANALS-Reference-Cited by-同舟云学术

A RIEMANN PROBLEM AT A JUNCTION OF OPEN CANALS

Published:2013-09 Issue:03 Volume:10 Page:431-460
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

GOUDIABY MOUHAMADOU SAMSIDY¹,KREISS GUNILLA²

Affiliation:

1. Laboratoire d'Analyse Numérique et Informatique, Université Gaston Berger de Saint-Louis, BP 234, Saint-Louis, Senegal

2. Division of Scientific Computing, Department of Information Technology, Uppsala university, 751 05 Uppsala, Sweden

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021989161350015X

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